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A water tank has a square base of area 4 square meters. Initially the tank contains 30 cubic meters. Water leaves the tank, starting at t=0, at the rate of 2 + 4 t cubic meters per hour. Here t is the time in hours. What is the depth of water remaining in the tank after 3 hours?
The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. Find the mean study time.
Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05 , what was the average time for one of his earlier splits?
Assume the probability that a person has the desease is 0.04 for all people, independently of each other, and compute the expected number of tests necessary for each group.
An airplane is flying on a compass heading of 300 degrees at 450 mph. A wind is blowing with the bearing 205 degrees at 85 mph. Find the component form of the velocity of the airplane and find the actual ground speed and direction of the plane.
If Player A gets to throw 2 darts and Player B gets to throw 5 darts, how do you calculate the probability of Player A or Player B getting the highest total score?
23% of the seniors at a high school failed pre-calculus. If 1138 students failed pre-calculus, how many seniors are at this high school?
Find the Fourier series for the odd extention of the function
Which are knights and which are knaves? Explain your reasoning.
Explain the four-steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand? Please provide problems for the c..
How many tennis rackets of each type should CSD manufacture over the next two weeks to maximize the total profit contribution? Assume that because of the unique nature of their products, CSD can sell as many rackets as they can produce.
The temperature(at a randomly selected time) is normally distributed with mean 83 degrees Fahrenheit and standard deviation 5 degrees. Find the following probabilities:
What speed is the lamp's spot moving as it passes the point where it is perpendicular to shore? How fast is the spot moving along the shore when the spot is 1 km from the point at which it is perpendicular?
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