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A bowl is shaped like a hemisphere with diameter 68 cm. A ball with diameter 16 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.
A textbook store sold a combined total of biology and sociology textbooks in a week. The number of biology textbooks sold was two times the number of sociology textbooks sold. How many textbooks of each type were sold.
he distribution of ant mounds on a farm can be accurately modeled by a Poisson distribution.
water flows from a container at the rate of 2.5 litres per minute. The water flows into a tank that already holds 50 litres. How long in seconds is it before there are 765 litres of water to be in the tank?
A surveyor standing 66 meters from the base of a building measures the angle to the top of the building and finds it to be 36°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 45°. How tall i..
An oil company distributes oil in a metal can shaped like a cylinder that has an actual radius of 5.1 cm and a height of 15.1 cm. A worker incorrectly measured the radius as 5 cm and the height as 15 cm.
Please evaluate the following integral using the formula for integration by parts,
What are all the values that a standard deviation s can possibly take?
Teresa and Jamie are among 10 students who have applied for a trip to Washington. Two students from the group will be selected at random . What is the probablitiy that Teresa and Jaime will be the 2 students.
The distinct equivalence classes of an equivalence relation on a set A provide us with a decomposition of A as a union of mutually disjoint subsets. Conversely, given a decomposition of A as a union of mutually disjoint, nonempty subsets, we can d..
a semicircular plate 14 feet in diameter sticks straight down into fresh water with the diameter along the surface. Find the force of the water on side of the plate. The weight-density of water is 62.4 lb/ft^3.
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?
An absent-minded nurse is to give Mr. Brown a pill each day. The probability that the nurse forgets to administer the pill is 2/3. If he receives the pill, the probability that Mr. Brown will die is 1/3.
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