Questions

The best high school and college tutors are just a click away, 24×7! Pick a subject, ask a question, and get a detailed, handwritten solution personalized for you in minutes. We cover Math, Physics, Chemistry & Biology.
estion 6 Consider this passage from The Phantom of the Opera by Gaston Leroux Which of the following BEST shows that Carlotta is fearless Select one O O O She thought herself at that time the victim of a thousand jealous attempts and went about saying that she had a secret enemy who had sworn to ruin her We shall see she said adding a few oaths in her native Spanish with a very determined air The truth is that if there was a cabal it was led by Carlotta herself against poor Christine who had no suspicion of it When Carlotta heard of the astounding reception bestowed upon her understudy she was at once cured of an incipient attack of bronchitis and a bad fit of sulking against the management and lost the slightest inclination to shirk her duties Carlotta who had a small house of her own in the Rue du Faubourg St Honore rang for her maid who brought her letters to her bed Among them was an anonymous missive written in red ink in a hesitating clumsy hand which ran If you appear to night you must be prepared for a great misfortune at the moment when you open your mouth to sing a misfortune worse than death The letter took away Carlotta s appetite for breakfast She pushed back her chocolate sat up in bed and thought hard It was not the first letter of the kind which she had received but she never had one couched in such threatening terms She thought herself at that time the victim of a thousand jealous attempts and went about saying that she had a secret enemy who had sworn to ruin her She pretended that a wicked plot was being hatched against her a cabal which would come to a head one of those days but she added that she was not the woman to be intimidated The truth is that if there was a cabal it was led by Carlotta herself against poor Christine who had no suspicion of it Carlotta had never forgiven Christine for the triumph which she had achieved when taking her place at a moment s notice When Carlotta heard of the astounding reception bestowed upon her understudy she was at once cured of an incipient attack of bronchitis and a bad fit of sulking against the management and lost the slightest inclination to shirk her duties From that time she worked with all her might to smother her rival enlisting the services of influential friends to persuade the managers not to give Christine an opportunity for a fresh triumph Certain newspapers which had begun to extol the talent of Christine now interested themselves only in the fame of Carlotta Lastly in the theater itself the celebrated
Anatomy and Physiology
Circulation
estion 6 Consider this passage from The Phantom of the Opera by Gaston Leroux Which of the following BEST shows that Carlotta is fearless Select one O O O She thought herself at that time the victim of a thousand jealous attempts and went about saying that she had a secret enemy who had sworn to ruin her We shall see she said adding a few oaths in her native Spanish with a very determined air The truth is that if there was a cabal it was led by Carlotta herself against poor Christine who had no suspicion of it When Carlotta heard of the astounding reception bestowed upon her understudy she was at once cured of an incipient attack of bronchitis and a bad fit of sulking against the management and lost the slightest inclination to shirk her duties Carlotta who had a small house of her own in the Rue du Faubourg St Honore rang for her maid who brought her letters to her bed Among them was an anonymous missive written in red ink in a hesitating clumsy hand which ran If you appear to night you must be prepared for a great misfortune at the moment when you open your mouth to sing a misfortune worse than death The letter took away Carlotta s appetite for breakfast She pushed back her chocolate sat up in bed and thought hard It was not the first letter of the kind which she had received but she never had one couched in such threatening terms She thought herself at that time the victim of a thousand jealous attempts and went about saying that she had a secret enemy who had sworn to ruin her She pretended that a wicked plot was being hatched against her a cabal which would come to a head one of those days but she added that she was not the woman to be intimidated The truth is that if there was a cabal it was led by Carlotta herself against poor Christine who had no suspicion of it Carlotta had never forgiven Christine for the triumph which she had achieved when taking her place at a moment s notice When Carlotta heard of the astounding reception bestowed upon her understudy she was at once cured of an incipient attack of bronchitis and a bad fit of sulking against the management and lost the slightest inclination to shirk her duties From that time she worked with all her might to smother her rival enlisting the services of influential friends to persuade the managers not to give Christine an opportunity for a fresh triumph Certain newspapers which had begun to extol the talent of Christine now interested themselves only in the fame of Carlotta Lastly in the theater itself the celebrated
1 Geometry Worksheet 9 4 each rhombus find the measure of the numbered angles 2 29 1 2 2 3 52 2 3 4 3 4 20 m2 4 mz2 3 mZ3 m4 m2 mz2 m 1 mz2 mz3 mZ4 mz3 m 4
High School Geometry
2D Geometry
1 Geometry Worksheet 9 4 each rhombus find the measure of the numbered angles 2 29 1 2 2 3 52 2 3 4 3 4 20 m2 4 mz2 3 mZ3 m4 m2 mz2 m 1 mz2 mz3 mZ4 mz3 m 4
Consider this passage from The ree Musketeers by Ale Dumas Dumas s descriptions of the character Don Quixote suggest that young d Artagnan is Select one O handsome O fearful O respected O pitiful In the passage from The Three Musketeers the author references the novel Don Quixote written by the Spanish author Miguel de Cervantes in the early 1600s In Cervantes s story Don Quixote the main character goes on a quest to defend the helpless and destroy the wicked because he wants to be like the characters in the books he reads A young man we can sketch his portrait at a dash Imagine to yourself a Don Quixote of eighteen a Don Quixote without his corselet without his coat of mail without his cuisses a Don Quixote clothed in a woolen doublet the blue color of which had faded into a nameless shade between lees of wine and a heavenly azure face long and brown high cheek bones a sign of sagacity the maxillary muscles enormously developed an infallible sign by which a Gascon may always be detected even without his cap and our young man wore a cap set off with a sort of feather the eye open and intelligent the nose hooked but finely chiseled Too big for a youth too small for a grown man an experienced eye might have taken him for a farmer s son upon a journey had it not been for the long sword which dangling from a leather baldric hit against the calves of its owner as he walked and against the rough side of his steed when he was on horseback For our young man had a steed which was the observed of all observers It was a B arn pony from twelve to fourteen years old yellow in his hide without a hair in his tail but not without windgalls on his legs which though going with his head lower than his knees rendering a martingale quite unnecessary contrived nevertheless to perform his eight leagues a day Unfortunately the qualities of this horse were so well concealed
Anatomy and Physiology
Abdomen
Consider this passage from The ree Musketeers by Ale Dumas Dumas s descriptions of the character Don Quixote suggest that young d Artagnan is Select one O handsome O fearful O respected O pitiful In the passage from The Three Musketeers the author references the novel Don Quixote written by the Spanish author Miguel de Cervantes in the early 1600s In Cervantes s story Don Quixote the main character goes on a quest to defend the helpless and destroy the wicked because he wants to be like the characters in the books he reads A young man we can sketch his portrait at a dash Imagine to yourself a Don Quixote of eighteen a Don Quixote without his corselet without his coat of mail without his cuisses a Don Quixote clothed in a woolen doublet the blue color of which had faded into a nameless shade between lees of wine and a heavenly azure face long and brown high cheek bones a sign of sagacity the maxillary muscles enormously developed an infallible sign by which a Gascon may always be detected even without his cap and our young man wore a cap set off with a sort of feather the eye open and intelligent the nose hooked but finely chiseled Too big for a youth too small for a grown man an experienced eye might have taken him for a farmer s son upon a journey had it not been for the long sword which dangling from a leather baldric hit against the calves of its owner as he walked and against the rough side of his steed when he was on horseback For our young man had a steed which was the observed of all observers It was a B arn pony from twelve to fourteen years old yellow in his hide without a hair in his tail but not without windgalls on his legs which though going with his head lower than his knees rendering a martingale quite unnecessary contrived nevertheless to perform his eight leagues a day Unfortunately the qualities of this horse were so well concealed
Please define metabolism enzymes and activation energy What effect do enzymes have on activation energy
Biology
Biomolecules
Please define metabolism enzymes and activation energy What effect do enzymes have on activation energy
se the vertex h k 5 1 and the point 6 3 on the graph to find the general orm of the quadratic function f x 2 General Form f x a x h k
College Algebra
Quadratic equations
se the vertex h k 5 1 and the point 6 3 on the graph to find the general orm of the quadratic function f x 2 General Form f x a x h k
Determine if the following sets of quadratics are equivalent Choose true or false x 10x 14 0 and 2x 10 156 x 10 68 and x 20x 32 x 6x 247 and x 3 256 x 5 65 and x 90 10x False
High School Algebra
Quadratic equations
Determine if the following sets of quadratics are equivalent Choose true or false x 10x 14 0 and 2x 10 156 x 10 68 and x 20x 32 x 6x 247 and x 3 256 x 5 65 and x 90 10x False
Skip The correlation coefficient is calculated by taking the sum of the products of each variable s standardized z scores and dividing that result by n 1 This means that r can only be negative can only be positive can be either positive negative or zero
High School Statistics
Statistics
Skip The correlation coefficient is calculated by taking the sum of the products of each variable s standardized z scores and dividing that result by n 1 This means that r can only be negative can only be positive can be either positive negative or zero
Given is the graph of f x Answer the following questions Make sure you justify your answers q Determine intervals where f x is decreasing 10 Determine the x value s of any relative maximum s on the graph of f x 8 7 6 5 3 2 1 2 3
High School Calculus
Application of derivatives
Given is the graph of f x Answer the following questions Make sure you justify your answers q Determine intervals where f x is decreasing 10 Determine the x value s of any relative maximum s on the graph of f x 8 7 6 5 3 2 1 2 3
For the table to the right selected values of x and f x are given Assume that f x and f x do not change signs II Is f x increasing or decreasing 12 Is f x concave up or concave down X f x O 3 5 23 8 12
High School Calculus
Application of derivatives
For the table to the right selected values of x and f x are given Assume that f x and f x do not change signs II Is f x increasing or decreasing 12 Is f x concave up or concave down X f x O 3 5 23 8 12
Embalming solution constituents are all EXCEPT a Ethanol b Phenol c Glycerine d Formalin
Anatomy and Physiology
Endocrinology
Embalming solution constituents are all EXCEPT a Ethanol b Phenol c Glycerine d Formalin
Match the following animals to the appropriate Crustacean class mussel shrimp barnacles 1 Branchiopoda tadpole shrimp 2 Maxillopoda 3 Ostracoda
Biology
Biological Classification
Match the following animals to the appropriate Crustacean class mussel shrimp barnacles 1 Branchiopoda tadpole shrimp 2 Maxillopoda 3 Ostracoda
Simplify the rational expression 52 10 x 4 3x 6 x 4x 4 A B 15 x 2 2 5 x 2 2 3 x 2 C 5 x 2 3 x 2 D 15 x 2 x 2
High School Algebra
Quadratic equations
Simplify the rational expression 52 10 x 4 3x 6 x 4x 4 A B 15 x 2 2 5 x 2 2 3 x 2 C 5 x 2 3 x 2 D 15 x 2 x 2
p Given f x x 3e x 0 8 on what intervals is f increasing CALCULATOR
High School Calculus
Application of derivatives
p Given f x x 3e x 0 8 on what intervals is f increasing CALCULATOR
Problem 2 Find an explicit formula for the nth term an of each of the following sequences a 2 6 10 14 18 22 26 30 34 b 3 9 27 81 243 729 2187
College Calculus
Limits & Continuity
Problem 2 Find an explicit formula for the nth term an of each of the following sequences a 2 6 10 14 18 22 26 30 34 b 3 9 27 81 243 729 2187
Mary and Pat are getting divorced and decide to split the house and their savings using the method of Sealed Bids Each person will make a confidential bid to the attorney and if they present the highest bid for an item they will own it but will have to pay the other person their fair share of the cash value of the item Neither Mary nor Pat will know what the other bid Here are the results the attorney gathered House Bid Cash Mary Pat 280 000 1 000 220 000 80 000 I According to Pat what should be his perceived fair share cash value amount to the nearest dollar
High School Math - Others
Mathematical Reasoning
Mary and Pat are getting divorced and decide to split the house and their savings using the method of Sealed Bids Each person will make a confidential bid to the attorney and if they present the highest bid for an item they will own it but will have to pay the other person their fair share of the cash value of the item Neither Mary nor Pat will know what the other bid Here are the results the attorney gathered House Bid Cash Mary Pat 280 000 1 000 220 000 80 000 I According to Pat what should be his perceived fair share cash value amount to the nearest dollar
2 20 points How much will be in a retirement savings account at Chase Bank 15 years from now if you deposit 8 000 now and 10 000 seven years from now The account earns interest at a rate of 6 per year compounded monthly
College Math - Others
Simple & Compound Interest
2 20 points How much will be in a retirement savings account at Chase Bank 15 years from now if you deposit 8 000 now and 10 000 seven years from now The account earns interest at a rate of 6 per year compounded monthly
5 30 points Starting in 2024 the regional government offices health departments and public libraries in the city of Boulder Colorado will adopt a 9 hour day 4 day workweek from the beginning of June through the end of October The shortened workweek will affect 30 of the city s 8000 employees and will save 55 000 per month for those 5 months due to decreased electricity water and maintenance costs If this work schedule persists for the next 15 years what is the future value of the savings at the end of that period i e end of year 2039 Assume an interest rate of 0 6 per month
College Math - Others
Simple & Compound Interest
5 30 points Starting in 2024 the regional government offices health departments and public libraries in the city of Boulder Colorado will adopt a 9 hour day 4 day workweek from the beginning of June through the end of October The shortened workweek will affect 30 of the city s 8000 employees and will save 55 000 per month for those 5 months due to decreased electricity water and maintenance costs If this work schedule persists for the next 15 years what is the future value of the savings at the end of that period i e end of year 2039 Assume an interest rate of 0 6 per month
Use the Table of Integrals to evaluate the integral S x4e6x dx
College Calculus
Definite Integrals
Use the Table of Integrals to evaluate the integral S x4e6x dx
Evaluate the integral 18 e2x
College Calculus
Definite Integrals
Evaluate the integral 18 e2x
Evaluate the integral
College Calculus
Indefinite Integration
Evaluate the integral
Evaluate the integral 2 x 8 x
College Calculus
Definite Integrals
Evaluate the integral 2 x 8 x
Note You can get full credit for this problem by just entering the final answer to the last question correctly The initial questions are meant as hints toward allow you the opportunity to get partial credit Consider the indefinite integral 63 8x2 45 45 x4 9x2 Then the integrand has partial fractions decomposition da where a b C d Integrating term by term we obtain that 6x3 8x2 45x 45 24 9x2 da a 22 78 b cx d x 9
College Calculus
Indefinite Integration
Note You can get full credit for this problem by just entering the final answer to the last question correctly The initial questions are meant as hints toward allow you the opportunity to get partial credit Consider the indefinite integral 63 8x2 45 45 x4 9x2 Then the integrand has partial fractions decomposition da where a b C d Integrating term by term we obtain that 6x3 8x2 45x 45 24 9x2 da a 22 78 b cx d x 9
Write out the form of the partial fraction decomposition of the function Q de 12 3 5x x 6x 9 dx Determine the numerical values of the coefficients A and B where BA and A B 5x x2 6x 9 A B denominator denominator
College Calculus
Vector Calculus
Write out the form of the partial fraction decomposition of the function Q de 12 3 5x x 6x 9 dx Determine the numerical values of the coefficients A and B where BA and A B 5x x2 6x 9 A B denominator denominator
Use the Table of Integrals to evaluate the integral 6 eVe2x 1dx
College Calculus
Indefinite Integration
Use the Table of Integrals to evaluate the integral 6 eVe2x 1dx
Use the table of in Integrals in the back of your textbook to evaluate the integral 10 4x 4x2 dx
College Calculus
Limits & Continuity
Use the table of in Integrals in the back of your textbook to evaluate the integral 10 4x 4x2 dx
Make a substitution to express the integrand as a rational function and then evaluate the integral COS 4 sin x 5 sin dx
College Calculus
Indefinite Integration
Make a substitution to express the integrand as a rational function and then evaluate the integral COS 4 sin x 5 sin dx
Which of the following is the correct form of the partial fraction decomposition of x 1 x3 x Ax B C A I x 1 Ax B Ca D B 2 x 1 A Bx C C A D x 1 B x 1
College Calculus
Definite Integrals
Which of the following is the correct form of the partial fraction decomposition of x 1 x3 x Ax B C A I x 1 Ax B Ca D B 2 x 1 A Bx C C A D x 1 B x 1
Split into partial fractions 64 64 2
College Calculus
Vector Calculus
Split into partial fractions 64 64 2
190 10 300 y asinibx f C 180 1 30 360 4 acos bx d
High School Math - Others
Mathematical Induction
190 10 300 y asinibx f C 180 1 30 360 4 acos bx d
5 A savings account balance is compounded continuously If the interest rate is 2 6 per year and the current balance is 1 685 00 what will the balance be 12 8 years from now 6 A savings account balance is compounded continuously If the interest rate is 3 7 per year and the current balance is 1 412 00 what will the balance be 10 5 years from now 7 A savings account balance is compounded continuously If the interest rate is 3 9 per year and the current balance is 1 553 00 what will the balance be 5 9 years from now 8 A savings account balance is compounded continuously If the interest rate is 2 2 per year and the current balance is 1 530 00 what will the balance be 7 5 years from now 9 A savings account balance is compounded continuously If the interest rate is 2 per year and the current balance is 1 919 00 what will the balance be 19 now years A 1 908 16 B 2 806 12 C 1 795 92 D 3 339 28 from 10 A savings account balance is compounded continuously If the interest rate is 4 per year and the current balance is 1 717 00 what will the balance be 13 years from now A 2 945 80 B 2 888 04 C 3 841 09 D 2 830 28
High School Algebra
Permutations and Combinations
5 A savings account balance is compounded continuously If the interest rate is 2 6 per year and the current balance is 1 685 00 what will the balance be 12 8 years from now 6 A savings account balance is compounded continuously If the interest rate is 3 7 per year and the current balance is 1 412 00 what will the balance be 10 5 years from now 7 A savings account balance is compounded continuously If the interest rate is 3 9 per year and the current balance is 1 553 00 what will the balance be 5 9 years from now 8 A savings account balance is compounded continuously If the interest rate is 2 2 per year and the current balance is 1 530 00 what will the balance be 7 5 years from now 9 A savings account balance is compounded continuously If the interest rate is 2 per year and the current balance is 1 919 00 what will the balance be 19 now years A 1 908 16 B 2 806 12 C 1 795 92 D 3 339 28 from 10 A savings account balance is compounded continuously If the interest rate is 4 per year and the current balance is 1 717 00 what will the balance be 13 years from now A 2 945 80 B 2 888 04 C 3 841 09 D 2 830 28
05 05 MC A table of data is given x f x 2 71 1 13 03 1 0 6 2 0 1 Which exponential model best represents the data Of x 3 1 2 x Of x 2 0 3 x Of x 2 3 x Of x 3 0 2
High School Algebra
Quadratic equations
05 05 MC A table of data is given x f x 2 71 1 13 03 1 0 6 2 0 1 Which exponential model best represents the data Of x 3 1 2 x Of x 2 0 3 x Of x 2 3 x Of x 3 0 2
estion 1 Multiple Choice Worth 2 points 05 05 MC Which graph models the function f x 4 2 0 7 6 5 4 3 2 1 O 3 2 3 2 3 4 3 2 1 2 5 6 O 3 7 6 5 4 2 2 3 4 3 2 1 2 2 3 4 5 6 7
High School Algebra
Quadratic equations
estion 1 Multiple Choice Worth 2 points 05 05 MC Which graph models the function f x 4 2 0 7 6 5 4 3 2 1 O 3 2 3 2 3 4 3 2 1 2 5 6 O 3 7 6 5 4 2 2 3 4 3 2 1 2 2 3 4 5 6 7
aluate the integral x3 11
College Calculus
Definite Integrals
aluate the integral x3 11
Note You can get full credit for this problem by just entering the final answer to the last question correctly The initial questions are meant as hints towar allow you the opportunity to get partial credit Consider the indefinite integral 22 x 4 x 5 dx Then the integrand has partial fractions decomposition where a b C Integrating term by term we obtain that 22 dx x 4 x 5 2 a b 01 x 4 x 5 C x 5
College Calculus
Indefinite Integration
Note You can get full credit for this problem by just entering the final answer to the last question correctly The initial questions are meant as hints towar allow you the opportunity to get partial credit Consider the indefinite integral 22 x 4 x 5 dx Then the integrand has partial fractions decomposition where a b C Integrating term by term we obtain that 22 dx x 4 x 5 2 a b 01 x 4 x 5 C x 5
150 yasin x 2 380 b 120 yacos x d 360
High School Math - Others
Mathematical Induction
150 yasin x 2 380 b 120 yacos x d 360
f x Delta Airlines quotes a flight time of 3 hours 4 minutes for a particular flight Suppose we believe that actual flight times are uniformly distributed between 3 hours and 3 hours 16 minutes a Show the graph of the probability density function for flight time Rx 16 19 1 16 Ax 36 16 100 16 39 3 16 8 16 16 1 8 16 X 172 180 188 196 Flight Time in Minutes 172 180 188 196 172 180 188 196 172 Flight Time in Minutes Flight Time in Minutes 180 Flight Time in Minutes 188 196 16 12 b What is the probability that the flight will be no more than 4 minutes late 0 25 x c What is the probability that the flight will be more than 8 minutes late 0 5 X d What is the expected flight time in minutes 188 min
College Statistics
Probability
f x Delta Airlines quotes a flight time of 3 hours 4 minutes for a particular flight Suppose we believe that actual flight times are uniformly distributed between 3 hours and 3 hours 16 minutes a Show the graph of the probability density function for flight time Rx 16 19 1 16 Ax 36 16 100 16 39 3 16 8 16 16 1 8 16 X 172 180 188 196 Flight Time in Minutes 172 180 188 196 172 180 188 196 172 Flight Time in Minutes Flight Time in Minutes 180 Flight Time in Minutes 188 196 16 12 b What is the probability that the flight will be no more than 4 minutes late 0 25 x c What is the probability that the flight will be more than 8 minutes late 0 5 X d What is the expected flight time in minutes 188 min
Evaluate the integral 3 2
College Calculus
Definite Integrals
Evaluate the integral 3 2
Solve the triangle shown to the right b 4
College Algebra
Quadratic equations
Solve the triangle shown to the right b 4
Type your answers in all of the blanks and submit X X N Fill in the blank with the simplified expression Use to denote an exponent a f x 7x 1 f x write your response here b f x x 4x f x write your response here c f x 2x3 5x f x Write your response here
College Algebra
Complex numbers
Type your answers in all of the blanks and submit X X N Fill in the blank with the simplified expression Use to denote an exponent a f x 7x 1 f x write your response here b f x x 4x f x write your response here c f x 2x3 5x f x Write your response here
The graph of f is given State the numbers at which f is not differentiable X x smaller value larger value y 2 0 2 13
College Calculus
Differentiation
The graph of f is given State the numbers at which f is not differentiable X x smaller value larger value y 2 0 2 13
Use the sum to product identities to rewrite the following expression in terms containing only first powers of tangent Answer sin9x sin5x cos9x cos5x
Algebra
Sequences & Series
Use the sum to product identities to rewrite the following expression in terms containing only first powers of tangent Answer sin9x sin5x cos9x cos5x
Derivative Test to find the max an min of the function on the interva 3 given a f x x 9xb 2 f x x x 2
College Algebra
Quadratic equations
Derivative Test to find the max an min of the function on the interva 3 given a f x x 9xb 2 f x x x 2
graph one full cucle of y csc 3x 3 3
College Geometry
Vectors
graph one full cucle of y csc 3x 3 3
Use the binomial series or any other method to find the Maclaurin series for b a 1 n 1 x2n 2n 2 n 1 x2n 1 2n 1 n 0 8 d 1 1 n 0 n 0 f x 1 8 1 2 x2 n 2n 1 e 1 n 0 8 x n c 1 12n 1 2n n x2n 2n 1 n 0
College Geometry
Coordinate system
Use the binomial series or any other method to find the Maclaurin series for b a 1 n 1 x2n 2n 2 n 1 x2n 1 2n 1 n 0 8 d 1 1 n 0 n 0 f x 1 8 1 2 x2 n 2n 1 e 1 n 0 8 x n c 1 12n 1 2n n x2n 2n 1 n 0
Find the domain of the function f x x 1 13 8x 2x Answer in interval notation
College Algebra
Quadratic equations
Find the domain of the function f x x 1 13 8x 2x Answer in interval notation
You may need to use the appropriate appendix table or technology to answer this question The number of adults in the United States who smoke has declined greatly In 2005 more than 20 of adults in the United States smoked but this declined to about 12 5 in 2020 Consider a group of 220 adul surveyed in the year 2020 and use the normal approximation of the binomial distribution to answer the questions below a What is the expected number of adults who smoke adults b What is the probability that fewer than 25 smoke Round your answer to four decimal places c What is the probability that from 30 to 35 smoke Round your answer to four decimal places d What is the probability that 45 or more smoke Round your answer to four decimal places
College Statistics
Probability
You may need to use the appropriate appendix table or technology to answer this question The number of adults in the United States who smoke has declined greatly In 2005 more than 20 of adults in the United States smoked but this declined to about 12 5 in 2020 Consider a group of 220 adul surveyed in the year 2020 and use the normal approximation of the binomial distribution to answer the questions below a What is the expected number of adults who smoke adults b What is the probability that fewer than 25 smoke Round your answer to four decimal places c What is the probability that from 30 to 35 smoke Round your answer to four decimal places d What is the probability that 45 or more smoke Round your answer to four decimal places
What are your null and alternate hypotheses ull Hypotheses ants will not gravitate more towards high sugar foods than they will towards low gar ods ternative Hypotheses ants will gravitate more towards high sugar foods than they will low sugar ods What is your prediction rediction that ants will gravitate more towards high Sugar food than low sugar food due to their eference for energy rich source When an ant discovers a sugar source it employs multiple strategies to communicate this finding to its nestmates One such strategy involves the release of chemical signals known as pheromones along its foraging path These pheromones serve as a trail marker guiding other ants from the colony to the food source As more ants follow the pheromone trail and reach the sugar source they contribute to the reinforcement of the trail by depositing additional pheromones This positive feedback loop strengthens the trail making it increasingly attractive to other ants and effectively creating a gravitational pull towards the sugar source The intensity of this gravitational pull depends on factors such as the concentration of pheromones the distance to the sugar source and the size of the ant colony In addition to pheromone trails ants possess highly sensitive chemosensory receptors that enable them to detect and respond to minute concentrations of sugar molecules in their environment This ability allows ants to locate sugar sources even in the absence of a pheromone trail further enhancing their foraging efficiency Moreover environmental factors such as temperature humidity and competition from other organisms can influence the strength and direction of the gravitational pull towards sugar In conclusion the phenomenon of gravitation in ants towards different levels of sugar is a multifaceted process driven by chemical communication sensory perception and environmental cues Through the coordinated efforts of individual foragers and the collective behavior of the colony ants are able to efficiently locate and exploit sugar resources ensuring their survival and reproductive success
Biology
Ecology - General
What are your null and alternate hypotheses ull Hypotheses ants will not gravitate more towards high sugar foods than they will towards low gar ods ternative Hypotheses ants will gravitate more towards high sugar foods than they will low sugar ods What is your prediction rediction that ants will gravitate more towards high Sugar food than low sugar food due to their eference for energy rich source When an ant discovers a sugar source it employs multiple strategies to communicate this finding to its nestmates One such strategy involves the release of chemical signals known as pheromones along its foraging path These pheromones serve as a trail marker guiding other ants from the colony to the food source As more ants follow the pheromone trail and reach the sugar source they contribute to the reinforcement of the trail by depositing additional pheromones This positive feedback loop strengthens the trail making it increasingly attractive to other ants and effectively creating a gravitational pull towards the sugar source The intensity of this gravitational pull depends on factors such as the concentration of pheromones the distance to the sugar source and the size of the ant colony In addition to pheromone trails ants possess highly sensitive chemosensory receptors that enable them to detect and respond to minute concentrations of sugar molecules in their environment This ability allows ants to locate sugar sources even in the absence of a pheromone trail further enhancing their foraging efficiency Moreover environmental factors such as temperature humidity and competition from other organisms can influence the strength and direction of the gravitational pull towards sugar In conclusion the phenomenon of gravitation in ants towards different levels of sugar is a multifaceted process driven by chemical communication sensory perception and environmental cues Through the coordinated efforts of individual foragers and the collective behavior of the colony ants are able to efficiently locate and exploit sugar resources ensuring their survival and reproductive success
HER PRACTICE AN Suppose an electric vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour and 30 minutes 90 minutes recharge the vehicle s battery Assume that the actual recharging time required is uniformly distributed between 70 and 110 minutes a Give a mathematical expression for the probability density function of battery recharging time for this scenario f x 70 x 110 elsewhere b What is the probability that the recharge time will be less than 101 minutes c What is the probability that the recharge time required is at least 79 minutes Round your answer to four decimal places d What is the probability that the recharge time required is between 75 and 105 minutes
College Statistics
Statistics
HER PRACTICE AN Suppose an electric vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour and 30 minutes 90 minutes recharge the vehicle s battery Assume that the actual recharging time required is uniformly distributed between 70 and 110 minutes a Give a mathematical expression for the probability density function of battery recharging time for this scenario f x 70 x 110 elsewhere b What is the probability that the recharge time will be less than 101 minutes c What is the probability that the recharge time required is at least 79 minutes Round your answer to four decimal places d What is the probability that the recharge time required is between 75 and 105 minutes
You may need to use the appropriate appendix table or technology to answer this question A binomial probability distribution has p 0 20 and n 100 a What are the mean and standard deviation mean standard deviation b Is this situation one in which binomial probabilities can be approximated by the normal probability distribution Explain Yes because np 5 and n 1 p 5 Yes because n 30 No because np 25 and n 1 p 5 Yes because np 5 and n 1 p 5 No because np 5 and n 1 p 5 c What is the probability of exactly 25 successes Use the normal approximation of the binomial distribution to answer this question Round your answer to four decimal places d What is the probability of 18 to 22 successes Use the normal approximation of the binomial distribution to answer this question Round your answer to four decimal places e What is the probability of 12 or fewer successes Use the normal approximation of the binomial distribution to answer this question Round your answer to four decimal place
College Statistics
Probability
You may need to use the appropriate appendix table or technology to answer this question A binomial probability distribution has p 0 20 and n 100 a What are the mean and standard deviation mean standard deviation b Is this situation one in which binomial probabilities can be approximated by the normal probability distribution Explain Yes because np 5 and n 1 p 5 Yes because n 30 No because np 25 and n 1 p 5 Yes because np 5 and n 1 p 5 No because np 5 and n 1 p 5 c What is the probability of exactly 25 successes Use the normal approximation of the binomial distribution to answer this question Round your answer to four decimal places d What is the probability of 18 to 22 successes Use the normal approximation of the binomial distribution to answer this question Round your answer to four decimal places e What is the probability of 12 or fewer successes Use the normal approximation of the binomial distribution to answer this question Round your answer to four decimal place
If a spherical tank 6 m in diameter can be filled with a liquid for 450 find the cost to fill a tank 24 m in diamete The cost to fill the 24 m tank is
College Algebra
Complex numbers
If a spherical tank 6 m in diameter can be filled with a liquid for 450 find the cost to fill a tank 24 m in diamete The cost to fill the 24 m tank is