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At 12pm, ship A is 150 km west of Ship B. Ship A is sailing east at 35 kim/hr and ship B is sailing north at 25 km/hr. How fast is the distance between the two ships changing at 4pm?
The perimeter of a triangle ABC is 54. If the triangle has side lengths AB=3x,BC=4x, and AC=5x, find the lengths of each side.
If q is the number of quarts of lemonade , then (1/4) q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade.
Suppose sunshine figures are independent identically distributed continuous random variables. Independent identically distributed continuous random variables
A particle moves according to the law d2y/ dx2 = 3x2 if y=3/4 when x = 0 and y = 2 when x = 1 find the value of y.
Your weekly paycheck is 15 percent less than your coworker's. Your two paychecks total 695. Find the amount of each paycheck.
A ball drops from a height of 23 feet. Each time it hits the ground, it bounces up 65 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
Provide brief justification for those that are and counter examples for those that are not.
A survey of 50 students found that on average they drink 2.3 beers a night with a standard deviation of 0.7. Calculate a 99% confidence interval for the population mean.
You select a random sample of n=14 families in your neighborhood and find the following family size (number of people in the family).
Test at the 1% level of significance, whether the two population proportions are significantly different. Formulate and test the appropriate hypotheses. Use the critical value approach.
Mary works due north of home. her husband Juan works due east. They leave for work at the same time. By the time Mary is 3 miles from home, the distance between them is one mile more than Juan's distance from home. How far from home is Juan?
Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $110,000. This distribution follows the normal distribution with a standard deviation of $40,000.
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