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A baseball team plays in a stadium that holds 56,000 spectators. With the ticket price at $10, the average attendance at recent games has been 24,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000. Find a function that models the revenue in terms of ticket price. (Let x be the ticket price and R(x) be the revenue.)
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 10 in. by 17 in. by cutting equal squares from the four corners and turning up the sides.
Find the gradient and the intercept of the following linear equation.
s to manufacture a box with a volume of 24 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necessary.
The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 ft³, which equation below could be used to find the depth of the pool?
What is the expected distance that the repairman has to cover if the repairman has just repaired the first machine in the column?
Find the equation of motion if the mass is initially released from equalibrium position with a downward velocity of 1 ft/s.
Find the linear correlation coefficient
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
A random sample of 50 employees at a company was obtained. The one-way distance from home to work was recorded for ach employee in the sample. Suppose the mean of the sample was 15.2 miles and the standard deviation was 4.2 miles.
Chuck travels 88 miles in the same time that Dana travels 78 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
The points (4, 1, 7) and (10,9,7) are endpoints of a diameter of a sphere. How to find the center and radius of the sphere?
Five numbers are chosen at random from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, without replacement. What is the probability that all the numbers are even?
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