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CHAPTER SUMMARY647Using x skilled and y anskilled workers, a manufacturer can produce Q(x, y) = 60x^1/3y^2/3 units per day.Currently the manufacturer employs 10 skilledworkers and 40 unskilled workers and is planningto hire 1 additional skilled worker. Use calculus toestimate the corresponding change that themanufacturer should make in the level of unskilledlabor so that the total output will remain theER SUMMARYsame.
General
2 months ago
A study was conducted in order to estimate ?, the mean number of weekly hours that U.S. adults use computers at home. Suppose a random sample of 81 U.S. adults gives a mean weekly computer usage time of 8.5 hours and that from prior studies, the population standard deviation is assumed to be ? = 3.6 hours.Based on this information, what would be the point estimate for ??(a) 81(b) 8.5(c) 3.6(d) None of the above.We are 95% confident that the mean number of weekly hours that U.S. adults use computers at home is:(a) between 8.1 and 8.9.(b) between 7.8 and 9.2.(c) between 7.7 and 9.3.(d) between 7.5 and 9.5.(e) between 7.3 and 9.7.Which of the following will provide a more informative (i.e., narrower) confidence interval than the one in problem 3?(a) Using a sample of size 400 (instead of 81).(b) Using a sample of size 36 (instead of 81).(c) Using a different sample of size 81.(d) Using a 90% level of confidence (instead of 95%).(e) Using a 99% level of confidence (instead of 95%).(f) Both (a) and (d) are correct.(g) Both (a) and (e) are correct.How large a sample of U.S. adults is needed in order to estimate ? with a 95% confidence interval of length 1.2 hours?(a) 6(b) 12(c) 20(d) 36(e) 144
General
2 months ago
How would you describe the relationship between the real zeros and x-intercepts of the function y=log4(x-2)
General
2 months ago
Given below are the number of successes and sample size for a simple random sample from a population. xequals6, nequals50, 90% level a. Determine the sample proportion. b. Decide whether using the one-proportion z-interval procedure is appropriate. c. If appropriate, use the one-proportion z-interval procedure to find the confidence interval at the specified confidence level. d. If appropriate, find the margin of error for the estimate of p and express the confidence interval in terms of the sample proportion and the margin of error.
General
2 months ago
Get the general term for the sequence being your t3 = 11 and the t20 = 244.2
General
2 months ago
A restaurant offers the following limited lunch menu. Main Courses: Beef, Pork Roast, Duck, Quiche, Vegetables Corn, Green Beans. Beverages: Coffee, Tea, Milk. Desserts: Ice Cream, Brownies. If one item is selected from each of the four groups, in how many ways can a meal be ordered?
General
2 months ago
One positive number is 8 more than twice another. If the product is 731
General
2 months ago
If a particular set of data is approximately normally distributed, we would find that approximately A) 2 of every 3 observations would fall between ±1 standard deviation around the mean. B) 4 of every 5 observations would fall between ±1.28 standard deviations around the mean. C) 19 of every 20 observations would fall between ±2 standard deviations around the mean. D) All of the above.
General
2 months ago
please solve.this question
General
2 months ago
If the farmer has 250 feet of fencing to create a rectangular pen, define a function f that expresses the area of the field (measured in square feet) as a function of the width of the side of the field w (measured in feet). What is the maximum area possible?
General
2 months ago
(TIMED)Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses 1/3 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 1/2 cup of oil and 1 egg. Alan has 4 cups of oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan wants to maximize the money raised at the bake sale. Let x represent the number of blueberry muffins and y represent the number of bran muffins Alan bakes. What are the constraints for the problem?
General
2 months ago
The area of a rectangle playgrond is 78 square meters. If the length of the playground is 13 meters, what is its width?
General
2 months ago
A toy rocket was shot into the air. The graph below represents the height over the time of the rocket. Which of the following are true? Select all that apply.A. The rocket was launched from a platform 4.9 feet above the groundB. The rocket reached a maximum height of 59 feetC. It took the rocket 3.5 seconds to reach its maximum heightD. The rocket landed after 34 secondsE. The equation that represents the rocket’s height over time has two solutions
General
2 months ago
Help please! Math Nation Section 6 Test Yourself Practice Tool.
General
2 months ago
WILL GIVE BRAINLIEST ANSWER TO THE FIRST PERSON TO ANSWER CORRECTLY!Draw any two convex pentagons. For each of them measure the sum of its interior angles using a protractor. Explain the result of the measuring.
General
2 months ago
Raj made this argument: The Triangle Inequality Theorem states that if the lengths of three sides of a triangle are a, b, and c, then a + b > c. For this reason, since a, b, and c are all positive numbers, the square of a + b must be greater than the square of c. However, for a right triangle, the Pythagorean Theorem states that if the lengths of the legs are a and b, and if the length of the hypotenuse is c, then a2 + b2 = c2, not a2 + b2 > c2. Therefore, since the Pythagorean Theorem is known to be correct, and since right triangles should adhere to the Triangle Inequality Theorem, the Triangle Inequality Theorem must be incorrect. What is wrong with Raj’s argument?A) The square of a + b is not equal to a2 + b2. B) One cannot assume that a, b, and c are all positive numbers. C) It’s not true that right triangles should adhere to the Triangle Inequality Theorem. D) It’s not true that according to the Triangle Inequality Theorem, a + b > c.
General
2 months ago
PLEASE HELP! Drag a reason to each box to complete this proof. If 5x-4+13=5 , then x=1/2
General
2 months ago
What is the area of a sector with a central angle of 2pi/9 radians and a diameter of 20.6mm? Use 3.14 for Ali and round your answer to the nearest hundredth.
General
2 months ago
Complete the synthetic division problem below. What is the quotient in polynomial form?
General
2 months ago
In ABC what is the measure of C
General
2 months ago
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