Math Questions

A TV station wants to estimate the popular support for each of the candidates in an upcoming election. Which procedure would be most appropriate for obtaining a statistically unbiased sample? a. interviewing the school board about the students' opinions b. inviting all viewers to participate in a mail-in poll c. calling a random sample selected from a list of eligible voters d. setting up a booth in the local shopping mall and interviewing every tenth person that passes by is asked

A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 92% of patients taking the drug are healed within 8 weeks. In clinical trials, 217 of 233 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the α = 0.1 level of significance.

Several years ago, 45% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,035 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,035 surveyed, 456 indicated that they were satisfied. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed What are the null and alternative hypotheses? Use technology to find the 90% confidence interval. What is the correct conclusion? We are 90% confident the proportion of parents who had children in grades K-12 that were satisfied with the quality of education the students receive is between idence that parents' attitudes toward the quality of education

Let f(x) = -8 - 5/x+16 Complete the tables below. Round all table values to four decimal places, if necessary. Enter DNE if a function value is undefined. Using the data in the tables above, determine the following limits. Enter DNE if a limit fails to exist, except in case of an infinite limit. If an infinite limit exists, enter ∞ or -∞, as appropriate.

Find the z-scores that separate the middle 14% of the distribution from the area in the tails of the standard normal distribution.

Jason sees a tall building from across town. He turns 90° and walks 100 yards. Jason then turns to face the building, and the angle between his line of sight and his path is 35° as shown below. Which of the following is the closest to the distance from Jason's original position to the building, in yards?

Let f(x)=√x6 +5x - x³ - 3. Complete the tables below. Round all table values to four decimal places, if necessary. Enter DNE if a function value is undefined. Using the data in the tables above, determine the following limits. Enter DNE if a limit fails to exist, except in case of an infinite limit. If an infinite limit exists, enter ∞ or -∞, as appropriate.

A simple random sample of size n = 81 is obtained from a population that is skewed right with µ-84 and σ = 27. (a) Describe the sampling distribution of x. (b) What is P (x>87)? (c) What is P (x≤77.85) ? (d) What is P (80.1<x<88.95)? (a) Choose the correct description of the shape of the sampling distribution of x. A. The distribution is approximately normal. B. The distribution is uniform. C. The distribution is skewed left. D. The distribution is skewed right.

Graph f(x) = 2x² 24x70 below by first selecting the correct shape, clicking the vertex, then clicking an x-intercept.

Determine the amplitude and period of the given function. Graph the function. y = 4 sin (x/4) The amplitude is 4 The period is

At one liberal arts college, students are classified as humanities majors, science majors, or undecided. The chances are 10% that a humanities major will change to a science major from one year to the next, and 45% that a humanities major will change to undecided. A science major will change to humanities with probability 0.25, and to undecided with probability 0.25. An undecided will switch to humanities or science with ptobabilities of 0.30 and 0.40, respectively. Complete parts (a) and (b) below. (a) Find the long-range prediction for the fraction of students in each of these three majors. First, find the transition matrix P. Let the first state be that a student is a humanities major, the second that a student is a science major, and the third state that a student is undecided.

Consider the quadratic function f(x) = x² - 2x - 24. Determine the following: (enter all numerical answers as integers, fractions, or decimals): The smallest x-intercept is = The largest x-intercept is x = The y-intercept is y = The vertex is = The line of symmetry has the equation

Given the following vector v: v = (-2,-4) Step 2 of 2: Find the linear combination of i and i that is equivalent to v.

The payments of a lease are $290 a month for 48 months. Jessica paid a deposit of $300, a title fee of $70, and a license fee of $30. At the end of the lease she can buy the car for a residual value of $5,500. What is the total cost if she buys the car at the end of the lease? $19,820 $18,920

A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 5 percentage points with 90% confidence if (a) he uses a previous estimate of 25%? (b) he does not use any prior estimates? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) n = (b) n = (Round up to the nearest integer.) (Round up to the nearest integer.)

Given the following vector v: Step 1 of 2: Find a unit vector pointing in the same direction as v. v = (-2,-4)

Calcium is essential to tree growth. In 1990, the concentration of calcium in precipitation in a certain area was 0.11 milligrams per liter 10 precipitation dates in 2018 results in the following data table. Complete parts (a) through (c) below. Click the icon to view the data table. (a) State the hypotheses for determining if the mean concentration of calcium precipitation has changed since 1990. 0.11 mg/L 0.11 mg/L Ho H₁: A random sample of

Previous question In a survey, it was found that 78% of the population of a certain urban area lived in single-family dwellings and 22% in multiple housing. Five years later, of those who had been living in single-family dwellings, 91% still did so, but 9% had moved to multiple-family dwellings. Of those in multiple housing, 96% were still living in that type of housing, while 4% had moved to single-family housing. Assume that these trends continue. Answer parts (a) through (f). Type an integer vi matavimax Cicht.) (c) What percent of the population can be expected in each category after 5 years? The percent of the population in single-family housing is %. The percent of the population in multiple housing is. (Round to one decimal place as needed.) (d) What percent of the population can be expected in each category after 10 years? The percent of the population in single-family housing is %. The percent of the population in multiple housing is %. (Round to one decimal place as needed.) (e) Find the transition matrix for a 10-year period. sinale multiple point possible - Wol

An airplane flies on a compass heading of 90.0 degrees at 480 mph. The wind affecting the plane is blowing from 294 degrees at 28mph. What is the true course and ground speed of the airplane? Round results to an appropriate number of significant digits.

A stereo salesperson earns a salary of $1,900 per month, plus a commission of 4% of sales. If the salesperson wants to maintain a monthly income of at least $2,200, what is the total cost of the stereos that the salesperson must sell in each month (write the solution set)? {xx<3500} (x:x≥ 7500) (x:x>4500)

Find the magnitude and direction angle (in degrees) of the following vector. Answer 5 Points v = 5(cos(37°)i + sin(37")j) Recall that answers entered in degrees will require a degree symbol, which is located in the keypad. |||v|| = 0=

S point(s) possible Several years ago, 45% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,035 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,035 surveyed, 456 indicated that they were satisfied. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? Ho: P versus H₁: p (Type integers or decimals rounded to two decimal places as needed.) Use technology to find the 90% confidence interval. submit test

A national survey of 2400 adult citizens of a nation found that 22% dreaded Valentine's Day. The margin of error for the survey was 1.4 percentage points with 90% confidence. Explain what this means. Which statement below is the best explanation? Select all that apply. A. In 90% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.206 and 0.234. B. There is 88.6% to 91.4% confidence that 22% of the adult citizens of the nation dreaded Valentine's Day. C. There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.206 and 0.234. D. There is 90% confidence that 22% of the adult citizens of the nation dreaded Valentine's Day. E. There is a 90% probability that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.766 and 0.794. F. There is 90% confidence that the proportion of the adult citizens of the nation that did not dread Valentine's Day is between 0.766 and 0.794. signm

What are the 3 types of logarithms we have studied so far? In writing your answer, please make sure to use the proper mathematical notation, and focus in particular on the bases of the logarithms. Please spend at least 3 sentences to complete your answer.

Suppose we take samples of size 53 from a population whose mean is 45 with a standard deviation of 4. Describe the shape of the means of the sampling distribution. Why? Approximately normal, np and n(1-p) are both greater than 10. Unknown, the shape of the sampling distribution cannot be determined since we do not know the shape of the population distribution. Not approximately normally distributed. The sample sizes are not large enough. Approximately normal, the Central Limit Theorem will apply here since the sample sizes are larger than 30

A community center is selling greeting cards which are in a box. Its goal is to sell $100 worth of cards. Each box sells for $3. Determine the number of boxes needed to be sold in order to achieve the goal. 30 boxes of cards 28 boxes of cards 34 boxes of cards

Find the length of the longest side of the rectangle whose dimensions are given by 2x and 5x -1, and has a perimeter of 26 feet. 6 ft 9 ft 4 ft

The width of the rectangular room is 3 less than its length. If the perimeter of the room is 26 feet, find the dimensions of the room. Length = 5 feet; width = 3 feet Length = 3 feet; width = 5 feet Length = 8 feet; width = 5 feet

The manager of a store that specializes in selling tea decides to experiment with a new bieno. She will mix some Earl Grey tea that sells for $5 per pound with some Orange Pekoe tea that sells for $3 per pound to get 800 pounds of the new blend. The selling price of the new blend is to be $4.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required? The blend should have pounds of Earl Grey and pounds of Orange Pekoe.

If a domestic car gets 14 miles per gallon on average, how much carbon dioxide is emitted into the atmosphere when the car travels 335 miles? Express your answer rounded to the nearest tenth of a pound of carbon dioxide. lb of CO₂

A nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound. But at the end of the month the peanuts had not sold well, so, in order to sell 90 pounds of peanuts, the manager decided to mix the 90 pounds of peanuts with some cashews and sell the mixture for $2.50 per pound. How many pounds of cashews should be mixed with the peanuts to ensure no change in the revenue? The manager should mix pounds of cashews with the peanuts.

Solve for x. x²+2x+1=0 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."

A landscaping company estimates the price of a job in dollars, using the expression 60 - 12h, where is the number of landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the following is the best interpretation of the number 12 in the expression? The company charges $12 per hour for each landscaper, A minimum of 12 landscapers will work on each job. The price of every job increases by $12 every hour, Each landscaper works 12 hours a day

An expedition leader estimates that a group of hikers can carry less than or equal to 561 lb of food and equipment. The group must carry 336 lb of equipment and 25 lb of food for each climber. What is the greatest possible number of people in the expedition? Write in set builder form. {TERI < 5.36} {XEN < 6 (XEN P

Use the discriminant b² 4ac to determine the number of solutions. 9x² - 6x +1=0 Remember: If discriminant = negative --> no real solutions If discriminant = zero --> 1 real solution if discriminant = positive --> 2 real solutions No real solutions 1 real solution O2 real solutions

Robert is baking a cake. The recipe calls for more than 7 cups of sugar. He has already added 2 cups. Let x represent the number of more cups to be added. Which one of the following inequality represents the above situation? x+7<2 X-2<7 x+2>7

The city wants to determine whether your neighbourhood park should have an enclosed off leash area. Which sampling technique would be best to use? a. Simple Random b. Convenience c. Multistage d. All the above

Solve for v. v²+5v-6=0 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."

Carlos rents CDs for $4.5 per hour, and CD player for $6.5 per day. Austin has less than $30 to rent a CD and a CD player for x hours. Which of the following inequality represents this situation? 45x-65<30 4.5x+6.5 > 30 4.5x+6.5 < 30

At the state senate, 78% of senators voted to support a bill. Assuming every senator voted and was recorded, the 78% represents a parameter sample statistic mean

Cut a 10 ft long piece of wood into two pieces, so that one piece is 2 ft. longer than the other. Which of the following equations depicts the given situation? 2(x+1)= 10 x+2=10 X/2=10

Solving z²+14z - 9 = 0 by completing the square method produces an equation of th (z+h) ² = k. Find h and k h = k=

From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant of around 2.1 years. A survey of 40 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level?

Which question is biased? a. Are you dissatisfied with the current mayor? b. Should the government increase property taxes? c. Should the minimum age requirement to get a driver's license be changed? d. Do you prefer watching movies at home or in a theatre?

To earn full credit for this question, you must show all your work. Find the quotient and remainder. (12r³ - 5x² + 9x - 4) ÷ (4x − 3) The quotient is The remainder is

(1 point) Find an integer which is the limit of tan(8x)/2x as x goes to 0. (Enter I for infinity or DNE for does not exist.)

Solve for x. x² +8x+15=0 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."

A ship traveled at an average rate of 22 miles per hour going west. It then traveled at an average rate of 12 miles per hour heading north. If the ship traveled a total of 158 miles in 9 hours, how many miles were traveled heading north? (Do not include the units in your response.)

A ship traveled for 4 hours heading south and for 5 hours heading west. If the total distance traveled was 191 miles, and the ship traveled 4 miles per hour faster heading west, at what speed was the ship traveling west? (Do not include the units in your response.)

On a snow day, Kayden created two snowmen in his backyard. Snowman A was built to a height of 59 inches and Snowman B was built to a height of 34 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 7 inches per hour and Snowman B's height decreased by 2 inches per hour. Let A represent the height of Snowman A t hours after sunrise and let B represent the height of Snowman B t hours after sunrise. Write an equation for each situation, in terms of t, and determine the interval of time, t, when Snowman A is taller than Snowman B.