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A bowl is shaped like a hemisphere with diameter 76 cm. A heavy ball with diameter 12 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.)
If the compant plans to increase monthly advertising expenditures at the rate of 1.5 thousand dollars per month, how fast will sales rise?
Probability : Drawing Cards and Sampling Without Replacement, 3 cards are drawn in succession from a regular straight deck of 52 playing cards. Find the probability that
Imagine you've been left in charge of an ice cream stall and you have three flavours of ice cream to sell - vanilla, strawberry and chocolate.
Find the smallest positive integer with exactly n different positive factors when n is: By this approach for 6 the answer would be: 2*3*5*7*11*13?
Find the temperature at 9:01 A.M.,at 9:08 A.M.,and at 9:20 A.m.
An arrow is accidentally shot into the air. The formula y = - 14x2 + 56x + 18 models the arrow's height above the ground, y, in feet, x seconds after it was released.
a plot the data points with the best-fit line is given below. what is the numerical value of the height as perdicted by the best-fit line of an age of 20 weeks.
Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the 14.6-hour-per-week benchmark reported by BusinessWeek.
State Euler's Circuit Theorem. Explain why this theorem should be true and explain Cantor's Diagonalization Argument. Give examples and explain what this argument was used for.
For what values or range of values are the following functions undefined
A computer programming team has 12 members. How many ways can a group of 7 (out of the 12 members) be chosen to work on a special project? Explain.
The difference between the ages of two friends is 2 years. The sum of their ages is 74 years. Find the age of the older friend.
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