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Police estimate that 84% of drivers wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. If they stop 140 cars, what is the probability they find at least 27 drivers not wearing their seatbelts? Use a Normal approximation.
General
3 months ago
slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to complete the form is normally distributed witha standard devait of the 30 minutes:a. What percent of people would you expect to complete the form in less than 5 hours?b. What time interval would you expect to include the middle 50 % of the tax filers?
General
3 months ago
Consider a rectangle that is inscribed with its base on the x-axis and its upper corners on the parabola y=C−x2, with C>0. What are the width and height that maximize the area of this rectangle? What is that maximal area?
General
3 months ago
A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides. Find the value of h that maximizes the volume of the box ifA = 7 and B = 12
General
3 months ago
The random variable X is normally distributed with mean 5 and standard deviation 25. The random variable Y is defined by Y = 2 + 4X. What are the mean and the standard deviation of Y ? The mean is 20 and the standard deviation is 102. A) The mean is 20 and the standard deviation is 50. B) The mean is 22 and the standard deviation is 102. C) The mean is 22 and the standard deviation is 100. D) The mean is 22 and the standard deviation is 50.
General
3 months ago
How much money should be deposited today in an account that earns 7% compounded semiannually so that it will accumulate to $11,000 in three years?The amount of money that should be deposited is $ N(Round up to the nearest cent.)
General
3 months ago
Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?
General
3 months ago
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1004 Chevrolet owners and found that 482 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use α = 0.01.What is the sample test statistic?What is the p value of the test statistic?
General
3 months ago
A model for the density δ of the earth’s atmosphere near its surface isδ=619.09−0.000097pwhere p (the distance from the center of the earth) is measured in meters and δ is measured in kilograms per cubic meter. If we take the surface of the earth to be a sphere with radius 6370 km, then this model is a reasonable one for:6.370×106≤p≤6.375×106 Use this model to estimate the mass of the atmosphere between the ground and an altitude of 5 km.
General
3 months ago
The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and a population standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. A sample of 100 welders is taken and the mean annual income of the sample is $50,350. If the level of significance is 0.10, what conclusion should be drawn?A. Do not reject the null hypothesis as the test statistic is less than the critical value of z. B. Do not reject the null hypothesis as the test statistic is less than the critical value of t. C. Reject the null hypothesis as the test statistic is greater than the critical value of t. D. Reject the null hypothesis as the test statistic is greater than the critical value of z.
General
3 months ago
How would you use a model to determine the approximate formula for the circumference of a circle with a diameter of 8 cm, and connect the model to the actual formula?
General
3 months ago
The expression square root of 576/64 in simplest form is
General
3 months ago
A ball is thrown into the air from the edge of a 48 foot cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds. For which interval is the ball’s height always decreasing? A. 48B.0C.2.5D.146
General
3 months ago
Which rule can be used to describe the growth of the y-values of the function y=12^x over each interval from x=-1 to x=3?
General
3 months ago
Solve 2 log 2x = 4. Round to the nearest thousandth if necessary
General
3 months ago
The diameter of small nerf balls manufactured at a factory in china is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches. suppose a random sample of 20 balls is selected. find the interval that contains 95.44 percent of the sample means.
General
3 months ago
Which properties justify the steps taken to solve the system?4x+3y=252x+−5y=19Drag the answers into the boxes to match each step.
General
3 months ago
Which classification best describes the following system of equations?12x+5y-3z=36x-2y+4z=39x-10y+5z=27inconsistent and dependentconsistent and dependentconsistent and independentinconsistent and independent
General
3 months ago
You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand G costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one Brand F grill. In either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. You will pay off a Brand F grill in five years of monthly payments, and you will pay off a Brand G grill in three years of monthly payments. Assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.) a. Brand G will end up costing $159.48 less than Brand F. b. Brand G will end up costing $50.00 less than Brand F. c. Brand F will end up costing $134.28 less than Brand G. d. Brand F will end up costing $91.08 less than Brand G.
General
3 months ago
triangle abc has vertices a(1 4) b(-2,4) c(-1,-1) . A dilation with a scale factor of 0.25 and center at the origin is applied to the triangle. what are the coordinates of B in the dilated image?
General
3 months ago
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