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A major tire manufacturer wishes to estimate the mean tread life in miles for one of its tires. It wishes to develop a confidence interval estimate that would have a maximum sampling error of 500 miles with 90 percent confidence. A pilot sample of n=50 tires showed a sample standard deviation equal to 4,000 miles. Based on this information, what is the required sample size?
General
4 months ago
Isaac wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Isaac has 550 feet of fencing, you can find the dimensions that maximize the area of the enclosure. a) Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). Write an function for the area A of the enclosure in terms of w. (HINT first write two equations with w and l and A. Solve for l in one equation and substitute for l in the other). b) What width w would maximize the area?c) What is the maximum area?
General
4 months ago
Three friends share a full bag of jellybeans. Mike took 1/3 of the jellybeans in the full bag, Zac took 1/2 of the jellybeans in the full bag and Kary took what was left. Mike ate 1/2 of his jellybeans, Zac ate 1/3 of his jellybeans and Kary ate all of hers. If Mike and Zac now have a total of 45 jellybeans together, how many jellybeans did Kary eat?
General
4 months ago
The volume of a cube is increasing at a rate of 181818 cubic meters per hour. At a certain instant, the volume is 888 cubic meters. What is the rate of change of the surface area of the cube at that instant (in square meters per hour)?
General
4 months ago
Find the equation of a circle with a center at (-1,5) and a point on the circle is (4,4).
General
4 months ago
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the sample standard deviation?
General
4 months ago
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 753 hours. A random sample of 28 light bulbs has a mean life of 726 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At alphaequals0.05, do you have enough evidence to reject the manufacturer's claim?
General
4 months ago
A classic experiment in the 1960s eloquently illustrated the technical side of conservatism bias. The researchers presented subjects with two urns: one containing 3 blue balls and 7 red balls, the other containing 7 blue balls and 3 red ones. Subjects were given thisinformation and then told that someone had drawn randomly 12 timesfrom one of the urns [with replacement]. Subjects were told that thisdraw yielded 8 reds and 4 blues. They were then asked, "What is theprobability that the draw was made from the rst urn?" Formulate the problem in terms of Bayes' Rule. State all of your assumptions and all assignments explicitly.
General
4 months ago
If perpendicular lines m and n intersect at (0,b) in the standard (x,y) coordinate plane, what is the value of b ? (1) The slope of the line m is \small -\frac{1}{2} (2) The point (-1,0) is on line n.
General
4 months ago
given that 8-sqrt(18) over sqrt(2) = a + b sqrt(2) where a and b are integers find the value of a and b
General
4 months ago
In Lewis Carroll’s Through the Looking Glass, Tweedledum says, "The sum of your weight and twice mine is 361 pounds." Tweedledee replies, "The sum of your weight and twice mine is 362 pounds." Find both of their weights.
General
4 months ago
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack.
General
4 months ago
Find the sum. ???? 2 0−2 3???? + ????1 50 1????
General
4 months ago
Find all solutions to the following system of equations y=-2x+3 ; y=x²-6x+3.Illustrate with a graph.
General
4 months ago
Find all solutions to the following system of equations (x-2)²+(y+3)²=4 ; x-y=3. Illustrate with a graph.
General
4 months ago
Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.
General
4 months ago
Find all solutions to the following system of equations x+2y=0 ; x²-2x+y²-2y-3=0. Illustrate with a graph.
General
4 months ago
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
General
4 months ago
Solve each system of equations by writing a new system that eliminates one of the variables.3x+2y=44x+7y=1
General
4 months ago
Solve each system of equations by writing a new system that eliminates one of the variables.2x+y=254x+3y=9
General
4 months ago
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