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General
A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each side through an angle θ. How should θ be chosen so that the gutter will carry the maximum amount of water? θ = radians
General
6 months ago
Suppose that a new scoring system for universities was created which has a scale of 0-100. The scores on this system are normally distributed with a variance of 100 and a mean of 65. What score would need to have in order to be in the top 10% of universities?
General
6 months ago
J&J Manufacturing issued a bond with a $1,000 par value. The bond has a coupon rate of 7% and makes payments semiannually. If the bond has 20 years remaining and the annual market interest rate is 9.4%, what will the bond sell for today?a. $761b. $787c. $746d. $785e. $796
General
6 months ago
Find the maximum and minimum values of the given quadratic form subject to the constraint x2 + y2 + z2 = 1 and determine the values of x, y, and z at which the maximum and minimum occur. 5. 9x2 + 4y2 + 3z2
General
6 months ago
What is different about the normality requirement for a confidence interval estimate of sigma and the normality requirement for a confidence interval estimate of mu?The normality requirement for a confidence interval estimate of sigma is ( less strict/ stricter) than the normality requirement for a confidence interval estimate of mu. Departures from normality have a (greater/ lesser) effect on confidence interval estimates of sigma than on confidence interval estimates of mu. That? is, a confidence interval estimate of sigma is (more/less)robust against a departure from normality than a confidence interval estimate of mu.
General
6 months ago
Paint manufacturer uses a machine to fill 1- gallon cans with paint- they want to estimate the mean volume of paint the machine is putting in the cans within 0.25 of an ounce. Determine the minimum sample size needed to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.85 ounces.
General
6 months ago
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.x^2 + y^2 = (3x^2 + 4y^2 ? x)^2(0, 0.25)(cardioid)y=?
General
6 months ago
The manager of a bulk foods establishment sells peanuts tor $6 per pound and premium cashews tore $12 per pound. The manager wishes to make a 105 pound nut mixture that will sell foe $10 per pound. Howe many pounds of peanuts should be used? A) 30 ponds of peanuts. B) 70 pound,of peanuts. C) 35 pounds of peanuts. D) 60 pounds of peanuts. E) None of these
General
6 months ago
The half life of a certain substance is about 4 hours. The graph shows the decay of a 50 gram sample of the substance that is measured every hour for 9 hours.A graph shows time (hours) labeled 1 to 10 on the horizontal axis and quantity (grams) on the vertical axis. A line decreases from 0 to 9.Which function can be used to determine the approximate number of grams of the sample remaining after t hours?y = 25(0.15)ty = 25(0.85)ty = 50(0.15)ty = 50(0.85)t
General
6 months ago
The points (–4, –3) and (–1, –8) are on a line. Find the intercepts to the nearest tenth.
General
6 months ago
One month diane rented 2 movies and 5 video games for a total of $33. The next month she rented 8 movies and 3 video games for a total of $30 . Frind the rental cost fr each movie and video game.
General
6 months ago
The table below shows all of the possible outcomes of rolling a six-sided number cube and flipping a coin.H2H3H4H5H6IET3T4T5T6Which outcome is represented by x?rolling a two and the coin landing on tailsrolling a three and the coin landing on tailsrolling a two and the coin landing on headsrolling a three and the coin landing on heads
General
6 months ago
HELP ASAP 80 POINTS!!!!!!!!!!552 = 502 + 352 − 2(50)(35)cos(A)After working through the problem above, we get cos(A) =
General
6 months ago
Compute the standard deviation of the following set of data to the nearest whole number: 10, 15, 15, 20, 20
General
6 months ago
Kareem cannot decide which of two washing machines to buy. The selling price of each is $495. The first is marked down by 30%. The second is marked down by 20% with an additional 10% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price.The sale price of the first washing machine is $nothing.(Round to the nearest dollar as needed.) (Then find the second one please)
General
6 months ago
Talia's gym membership costs $75 a month plus $30 additional for each month she brings a guest. Which equation shows the number of months Talia brings a guest if she spends $990 on a one year membership?
General
6 months ago
A poster is to have an area of 180 in2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top. Find the exact dimensions that will give the largest printed area.
General
6 months ago
The decimal number 0.2 5 is an example of a terminating decimal.true false PLEASE ANSWER
General
6 months ago
The radius of the large sphere is double the radius of the small sphere.2 spheres are shown. One sphere has a radius of 3 and the second sphere has a radius of 6.How many times is the volume of the large sphere than the small sphere?2468
General
6 months ago
Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 88 and 130?
General
6 months ago
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