Basic Math Questions and Answers

Example 2 A pediatrician usee the model h 3a 28 6 to estimate the height h of a boy in Inches in terms of the boy s age a in years 01 What are the variable values in the problem above Q2 How tell would the doctor expect the boy to be after 3 years Q3 If the patient is 43 6 inches tall how old is he Q4 How many years would it take for the boy to be at least 5 feet tall Q5 How tall does the doctor expect the boy to be initially to start How do you know

A manufacturer of colored candies states that 13 of the candies in a bag should be 24 blue 20 orange and 16 green A student randomly selected a bag of colored candies He counted the number of candies of each color and obtained the results shown in the table Test whether the bag of colored candie follows the distribution stated above at the x 0 05 level of significance Click the icon to view the table Determine the null and alternative hypotheses Choose the correct answer below A Ho The distribution of colors is the same as stated by the manufacturer H The distribution of colors is not the same as stated by the manufacturer B Ho The distribution of colors is not the same as stated by the manufacturer H The distribution of colors is the same as stated by the manufacturer OC None of these Compute the expected counts for each color Color Brown Yellow Red Blue Orange Green Frequency 62 66 55 62 82 66 Expected Count Round to two decimal places as needed

Partner Example 3 The price of chicken x weeks after July 1st can be represented by the equation c 1 75 40x Q1 How many weeks will it take for the price to be at least 3 Q2 What is the price of chicken 5 weeks after July first Q3 On July 1st what is the price per ounce of chicken given that 16 ounces 1 pound

Determine a the x test statistic b the degrees of freedom c the P value and d test the hypothesis at the x 0 05 level of significance Ho The random variable X is binomial with n 4 p 0 8 H The random variable X is not binomial with n 4 p 0 8 Click the icon to view the chi square distribution table a x3 Round to two decimal places as needed X Observed Expected 0 1 1 6 1 3 4 2 41 123 439 385 25 3 151 9 405 1 405

6 The average number of students per classroom at Central High School from 2000 to 2010 can be modeled by the equation y 56x 27 2 where x represents the number of years since 2000 and y represents the average number of students per classroom How much would the size of the classes grow from 2000 to 2003

Assignment 2 6 points Decide for the following situations if they describe a linear or nonlinear depen dency and formulate the underlying equation or inequality to justify your decision a For the shipment of product A your forwarder demands 10 per unit How expensive is the transport of n units b At the production process of two goods P1 and P2 the number of produced units of P1 has to be at least the number of produced units of P2

f the following items which would be recorded as a debit in the U S balance of payments and which would be recorded as a credit in me U S balance of payments Items 5 items Drag and drop into the appropriate area below Categories Debit No more items purchase of an airplane ticket from United Airlines a U S company by a Chinese student purchase of a Canadian government bond by a resident of Pennsylvania Credit sale of a U S Treasury bond to a resident of Ontario Canada purchase of a condo in Mexico by U S resident

A website that reviews recent movies lists 5 five star films the highest rating 15 four star films 14 three star films 11 two star films and 5 one star films Make a frequency table for the data se Include columns for relative frequency and cumulative frequency Complete the table Type integers or decimals rounded to the nearest tenth as needed Stars Frequency Relative frequency 5 4 3 2 1 Cumulative frequency

Write the equation of the line in slope intercept form y mx b 8 7 6 5 A 3 2 1 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 1 00

Find four ordered pair solutions to the given equation by completing the table I y x 4 1 5 3 3

Determine whether or not each ordered pair represents a solution of the given equation Equation y 3x 4 a 2 2 Select an answer b 5 13 Select an answer Duartin TA N

Determine the slope of the line passing through the points 5 8 and 8 5 m

nation s balance of payments BOP records all payments between that nation and the rest of the world The BOP is divided into the urrent account and the capital account Which of the following transactions belong in the current account Which belong in the capital count Items 6 items Drag and drop into the appropriate area below Categories Capital account No more items Steve buys 10 000 shares of Toyota stock Sarah donates 1 000 for hurricane relief in Haiti Current account Walmart buys 50 million of Chinese goods Dell exports 10 million of computers to Mexico Peter calls the Microsoft service center in India

Use the perimeter formula P 21 2w to find the length 1 of a rectangular lot if the width w is 65 feet and the perimeter P is 300 feet feet

Suppose that on January 1 you have a balance of 5100 on a credit card whose APR is 17 which you want to pay off in 4 years Assume that you make no additional charges to the card January 1 a Calculate your monthly payments b When the card is paid off how much will you have paid since January 1 c What percentage of your total payment part b is interest a The monthly payment is Do not round until the final answer Then round to the nearest cent as needed b The total paid since January 1 is Use the answer from part a to find this answer Round to the nearest cent as needed c The percentage of the total paid that is interest is Use the answer from part b to find this answer Round to one decimal place as needed

The country of Superland wants to peg its currency supers to the United States at the prices of 5 per super However it is currer 4 per super What must Superland s central bank do In the graph below drag the appropriate line to the correct position To refer to the graphing tutorial for this question type please click here Exchange rate 15 super 15 14 13 12 11 10 9 8 4 3 2 3 0 9 2 S 8 13 5 10 D2 6 2 4 6 Quantity of supers

The expenses and income of an individual are given in table form to the right Find the net monthly cash flow it could be positive or negative Assume salaries and wages are after taxes When you need to convert between weeks and months assume that 1 month 4 weeks The net monthly cash flow is Income Part time job 500 month College fund from grandparents 500 month Scholarship 3600 year Round to the nearest dollar as needed Expenses Rent 550 month Groceries 40 week Tuition and fees 2400 twice a yea Incidentals 130 week

Suppose that one dollar can purchase 1 20 Canadian dollars and that the price of a Big Mac in Canada is 4 75 Canadian dollars With purchasing power parity the price of a Big Mac in the United States will be

You want to have a 95 000 college fund in 10 years How much will you have to deposit now under the scenario below Assume that you make no deposits into the account after the initial depos An APR of 4 7 compounded daily You should invest Do not round until the final answer Then round to two decimal places as needed

Use the compound interest formula to determine the accumulated balance after the stated period 6000 invested at an APR of 9 for 10 years If interest is compounded annually what is the amount of money after 10 years Do not round until the final answer Then round to the nearest cent as needed

For the following situation find the average monthly expense that you would use in budgeting for the given expense Note Annual means once a year and semiannual means twice a ye Sara pays 4500 for tuition and fees for each of the two semesters plus an additional 310 for textbooks each semester The average monthly cost for tuition and fees and textbooks is Round to the nearest dollar as needed

A typical glass of wine contains about 19 grams of alcohol Consider a 114 pound woman with approximately 6 liters 6000 milliliters of blood who drinks two glasses of wine Complete parts a and b below a If all the alcohol were immediately absorbed into her bloodstream what would her blood alcohol content be 9 100 mL Round to two decimal places as needed Note that a blood alcohol content BAC of 0 08g 100mL is the legal driving limit in the U S A BAC at or above 0 4g 100mL usually leads to coma or death Explain why it is fortunate that in reality the alcohol is not absorbed immediately Choose the correct answer below OA It is fortunate that alcohol is not absorbed immediately because although this blood alcohol content is below the legal limit it will impair brain function B It is fortunate that alcohol is not absorbed immediately because this is a lethal concentration of alcohol and is far beyond the legal limit OC It is fortunate because any amount of alcohol consumption can impair brain function OD It is fortunate that alcohol is not absorbed immediately because this blood alcohol content is above the legal limit for driving and is a dangerous level of intoxication b Again assume all the alcohol is absorbed immediately but now assume her body eliminates the alcohol through metabolism at a rate of 10 grams per hour What is her blood alcohol content 3 hours after drinking the wine g 100 mL Is it safe for her to drive at this time Explain Round to two decimal places as needed OA It is not safe to drive This is over the legal limit OB It is safe to drive Her blood alcohol content is lower than it was three hours ago OC It is safe to drive Although is it above the legal limit it is still pretty close OD It is not safe to drive This blood alcohol content means she would either be in a coma or possibly dead

Clint s salary increased from 24 000 to 36 000 over a three year period Helen s salary increased from 25 000 to 37 500 over the same period Whose salary increased more in absolute terms In relative terms Explain Whose salary increased more in absolute terms Select the correct choice below and fill in the answer box es to complete your choice O A Clint s salary increased more because his salary increased by OB Helen s salary increased more because her salary increased by This is more than OC Neither person s salary increased more because both of their salaries increased by Whose salary increased more in relative terms Select the correct choice below and fill in the answer box es to complete your choice OA Helen s salary increased more because her salary increased by OB Clint s salary increased more because his salary increased by OC Neither person s salary increased more because both of their salaries increased by This is more than the amount that Helen s salary increased the amount that Clint s salary increased This is more than the percent increase of Clint s salary which is This is more than the percent increase of Helen s salary which is

At a particular college 55 of the undergraduates are female If 2145 women attend the college how many total undergraduates attend the college The total number of undergraduates is Round to the nearest whole number as needed

Write out the three steps of the Understand Solve Explain process when answering the following question How fast does Earth rotate Note that in one full rotation of Earth a point on the equator travels about 25 000 miles in 24 hours What is the unknown in this problem O The volume O The speed The time O The distance What is the speed of the Earth The speed of the Earth is Explain why the speed of the Earth makes sense Choose the correct answer below 25 000 miles 24 hours OB speed distance x time 25 000 miles x 24 hours OC speed 24 hours 25 000 times distance time OA speed time distance

How much will a person pay for 5 1 pounds of bananas at a price of 1 38 per pound The price the person will pay is Round to the nearest cent

What is your average speed in miles per hour and in feet per second if you travel a mile in 21 minutes Click the icon to view the table of USCS length measurements Your average speed in miles per hour is Round to the nearest tenth as needed mile s per hour Your average speed in feet per second is feet foot per second Round to the nearest tenth as needed

What is the total weight of 13 basketballs that weigh 19 ounces each The total weight of the basketballs is Type an integer or a decimal

ott ott oot 06 08 20 Child s reading test score 02 os of 10 20 30 90 100 105 110 115 120 125 130 135 140 145 150 Child s IQ test score Use the graph of the best fit line on the scatter plot to make the prediction If another child in this class has an IQ score of 119 predict the child s reading score Your answer can be within 5 points

The ages of boys in a football club are 10 11 11 10 12 13 11 10 12 14 15 15 16 10 11 15 10 11 11 12 12 12 13 16 16 14 15 12 12 10 11 11 14 14 15 16 16 11 10 13 2 a b State whether this data is discrete or continuous Construct a grouped frequency table for this data Let x represent age Create a frequency histogram for the following data Theo threw a die 40 times The numbers that appeared were 2 3 3 16 65 244115 6 3 4 2 2 3 5

Define the sequence S by the following recurrence relation with initial conditions Note This problem uses the alternate notation for sequences where Sk S k a Find the general solution for the recurrence relation Answer Sk Sk 6Sk 1 5Sk 2 for k 2 So 1 S 21 b Find the specific solution for the recurrence relation with the given initial conditions Answer S

Question 2 in z Rewrite sin a 5T 4 in terms of sin x and cos x

The box and whisker plot shows the weights in kilograms of 40 pandas all of the same gender a b c n 90 100 120 140 160 We gm kg Write down the median weight Write down the range Find the number of pandas that weigh less than 90 kg d Write down the percentage of pandas that weigh between 120 and 160 kg e Find the number of pandas that weigh between 90 and 130 kg f If the average weight of a panda is about 120 kg state what information you can derluce from the 40 pandas in the sample Male pandas weigh on average between 80 kg and 140 kg and females weigh on average between 70 kg and 120 kg g From the box plot state the gender of the pandas in the sample

ribes giving alternative forms for coordinates of a point Click here to watch the video Plot the point given its polar coordinates Give at least two other pairs of polar coordinates for the point 4 210 Choose the graph of the ordered pair 4 210 CO O A O C Q B O D

The heights in cm ol 32 lemale gymnasts were recorded 148 152 147 149 150 147 151 142 156 148 148 149 150 152 155 154 151 154 148 150 149 145 147 148 161 152 162 149 146 151 150 157 a Construct a grouped frequency table using groups of 5 cm C b Draw a histogram to represent this data Draw a box and whisker plot to represent the data d State whether the data is symmetrical or 101 Give a reason for your answer

Question 4 Simplify 1 cos t 1 sec t to a single trig function with no fractions

ogress saved Done Question 1 D Question Help Video Simplify sec t cos t to a single trig function or constant with no fractions 17

Question 2 Simplify tan t sec t to a single trig function with no fractions

Justify If you know the perimeter of a square you can find the area of the square in two steps Describe the two steps

Question 9 Find a simplified expression for cos tan Question Help Video

Question 8 waluate tan cos uestion Help Video giving your answer as an exact value no decimals 0 10

core 50 110 6 11 answered Question 7 Evaluate the expression cos sin Give your answer as an exact value 4T 3

Question 5 0 10 pts 399 Details 6 5 4 3 2 8 7 6 5 4 3 2 1 f x 2 L T 1 2 3 4 Write an equation for the graph above 5

Use the coordinate plane and Quadrilateral ABCD for question 2 4 3 2 O True Statements A D 3 B C 2 Which of the following statements are TRUE Select all that apply a b C d e Point A could represent a translation of x 5 y If Quadrilateral ABCD were reflected about the x axis the resulting image D would be D 2 4 If Quadrilateral ABCD were rotated 180 counterclockwise about the origin the resulting image B would be 3 1 If Quadrilateral ABCD were rotated 90 clockwise about point A the resulting image D would be 4 2 If Quadrilateral ABCD were reflected about the line y x the resulting image of B would be 3 1

0 10 pts 399 Details Outside temperature over a day can be modeled as a sinusoidal function Suppose you know the temperature is 85 degrees at midnight and the high and low temperature during the day are 105 and 65 degrees respectively Assuming t is the number of hours since midnight find an equation for the temperature D in terms of t D t

Find a function of the form y A sin kx Cor y A cos kx C whose graph matches the function shown below 8 7 6 4 nn 2 6 Leave your answer in exact form if necessary type pi for y

Which of the following graphs is the correct plot of y 2 sin x 5 4 3 2 1 2 4 5 5 5 4 3 2 ANA 4 5 6 3 4 5 6 1 2 4 4 O 3 2 A 2 3 2 5 O d 4 3 2 1 2 3 4 5 1 2 3 O 4 5

Given the boolean function F ABCD A B CD ABC D AB C D A B C D A B C D Serve as a Minterm list Draw a logic gate circuit for the boolean function simplified

Test the hypothesis that the proportion of weekdays that this person is below the recommended daily calorie intake is greater than 0 5 Use a significance level of 0 05 State the hypotheses in symbolic form Include the following information in the sequence below Ho H t or z value p value Conclusion I The different steps are worth partial credit Make sure to include the work for them Hint Section 22 41

2 Which of the following would be an example of an intermediate good A stocks and bonds purchased by a business executive B a cellular telephone purchased by a college student C a wedding ring purchased by an engineer for his fianc e D tires purchased from Goodyear by General Motors for newly produced electric cars