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MATH SOLVE
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The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. What is the probability we could select a sample of 50 adults and find that the mean of this sample is between 98 and 103?
General
4 months ago
A 300 m wide river flows 2 m/s due east (downstream). Your friend is in the river 150 m north and 100 m west of you (you are on the shoreline). Your friend drifts at the speed of the river, but you can swim at 3 m/s relative to the water. Assuming you start swimming immediately, a) At what angle (relative to north) should you swim to reach your friend in the shortest amount of time? b) How far downstream (i.e., east of your original location) are you when you reach your friend?
General
4 months ago
Which of the following gives an equation of a line that passes through the point (,-19) and isparallel to the line that passes through the origin and point (-2, -12)?
General
4 months ago
The Great Pyramid of Giza has a length and width of 230.4 meters, and it has a height of 138.8 meters. A full-scale model of the pyramid will be built, and materials for the model will be delivered in trucks that measure 13 meters by 8 meters by 40 meters.How many truckloads will be needed to deliver all of the materials for the model?At least ___________ truckloads will be needed to deliver all of the materials.
General
4 months ago
What is an equation of the line that passesthrcugh the point (-2,5) and is parallel to theline x - 2y = 6?
General
4 months ago
A buoy floating in the ocean is bobbing in simple harmonic motion with period 7 seconds and amplitude 6ft. Its displacement d from sea level at time t=0 seconds is -6ft, and initially it moves upward. (Note that upward is the positive direction.)Give the equation modeling the displacement d as a function of time t.
General
4 months ago
You own a company that employs three salespeople, Quentin, Michael and Bubba. Quentin makes 30% of the sales, Michael 45%, and Bubba 25%. While they are all competent, they do not enjoy completing the paperwork on their sales as required by the SEC. Of the sales Quentin makes, he completes paperwork 90% of the time. When Michael makes a sale, he completes the paperwork 80% of the time. When Bubba makes a sale, he completes paperwork 85% of the time. You were recently fined by the SEC for this reason, and have instituted tough new policies on this manner. However, you recently selected a file at random and found that the paper work was not in order. Who is the most likely culprit?
General
4 months ago
he U.S. Department of Transportation reported the accompanying data on the number of speeding-related crash fatalities during holiday periods for the years from 1994 to 2003. Holiday Period 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 New Year's Day 141 142 178 72 219 138 171 134 210 70 Memorial Day 191 174 185 197 138 183 156 190 188 181 (a) Compute the standard deviation for the New Year's Day data. (Round the answer to three decimal places.) (b) Without computing the standard deviation of the Memorial Day data, determine whether the standard deviation for the Memorial Day data would be larger or smaller than the standard deviation of the New Year's Day data. larger smaller
General
4 months ago
A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of protein, 2 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 1 unit of protein, 1 unit of carbohydrates, and 1 unit of fat. Every package must provide at least 7 units of protein, at least 11 units of carbohydrates, and no more than 10 units of fat. Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package. a. Write a system of inequalities to express the conditions of the problem.b. Graph the feasible region of the system.a. Fill in the chart.FruitNutsRequirements per packageProteinnothing unit(s) per ouncenothing unit(s) per ounceAt least nothing unit(s) Carbohydratesnothing unit(s) per ouncenothing unit(s) per ounceAt least nothing unit(s)Fatnothing unit(s) per ouncenothing unit(s) per ounceNo more than nothing unit(s)
General
4 months ago
Bill is putting his baseball cards in a binder. For the amount of baseball cards he has, he knows he can use either 5 on each page with none left over, or 9 on each page with none left over. Which is the least amount of baseball cards Bill has?
General
4 months ago
Bill and Jose are going to order T-shirts for their school clubs. The T-shirts will have the clublogo printed on the front. Bill asks two local T-shirt companies to give him a price.Paula's Printing charges $21.50 for each T-shirt.Shantay's Shirts has a one-time set-up fee of $63 and then charges $18 for each T-shirt.Bill needs to order 30 t-shirts for his club. Which company should Bill choose tospend the least amount of money? Use math to justify your recommendation.
General
4 months ago
Which situation represents a proportional relationship?Question 4 options:A. The cost of purchasing a basket of apples for $1.25 per pound plus $5.00 for the basketB. The cost of purchasing bananas for $5.00 per box of bananas with the delivery charge of $3.00C. The cost of purchasing limes for $ 0.65 per pound with a coupon for $1.00 off the total costD. The cost of purchasing avocados for $1.75 per pound plus a shipping fee of $0.16 per pound.
General
4 months ago
The circle C has equation[tex](x - 6)^{2} + (y - 5)^{2} = 17[/tex]The lines L1 and L2 are each a tangent to the circle and intersect at the point (0, 12). Find the equations of L1 and L2, giving your answers in the form y=mx+c.
General
4 months ago
The company is building a scale model of the theater's main show tank for an investor's presentation. Each dimension will be made 1/6 of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
General
4 months ago
The coordinates of the endpoints of directed line segment ABC are A(-8,7) and C(7,-13). If AB:BC = 3:2, the coordinates of B are
General
4 months ago
The cost C(x) (in $1000) for a city to remove x% of the waste from a polluted river is given by [tex]C(x)=\frac{80x}{100-x}[/tex]a. Determine the cost to remove 20%, 40%, and 90% of the waste. Round to the nearest thousand dollars.b. If the city has $320,000 budgeted for river cleanup, what percentage of the waste can be removed?
General
4 months ago
The cost to produce a certain product depends on 3 main variables, denoted p, q, and r. If C(p, q, r) = C0e−2p + 7q − 9r represents the cost function, find the greatest rate of decrease of this function at the point P0(100, 55, 10).?
General
4 months ago
A rather flimsy spherical balloon is designed to pop at the instant its radius has reached 3 centimeters. Assuming the balloon is filled with helium at a rate of 10 cubic centimeters per second, calculate how fast the radius is growing at the instant it pops. (The volume of a sphere of radius r is V = 4/3 πr3. Round your answer to two decimal places.)
General
4 months ago
Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked.(a) What is the (approximate) probability that X is at most 30?(b) What is the (approximate) probability that X is less than 30?(c) What is the (approximate) probability that X is between 15 and 25 (inclusive)?
General
4 months ago
An oil change at City Auto is regularly $30. Mr. Allen has a coupon for 15% off. He wants to know the sale price of the service.What is the relationship between the sale price and the regular price of an oil change? Complete the statement.The sale price is (1,2 or 3)% of the regular price.1. 15%2. 30%3. 85%
General
4 months ago
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