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Question: On Halloween, 10 identical apples are distributed to 7 children.
a. How many distributions are possible? (Hint: One possible distribution is that child 1 gets 3 apples, child 2 gets 0 apples, child 3 gets 2 apples, child 4 gets 0 apples, child 5 and child 6 get 1 apple each, and child 7 gets 3 apples. Although the problem says apples are distributed to children, think of assigning a child's name to each apple; a child's name can go to more than 1 apple.)
b. How many distributions are possible if each child is to receive at least 1 apple?
A common Stock pays an annual dividend per share of $1.60. The risk-free rate is 5 percent and the risk premium for the stock is 4 percent. If the annual dividend is expected to reemain at $1.60 per share, What is the value of the stock?
An industry is being charged by the Environmental Protection Agency (EPA) with dumping unacceptable levels of toxic pollutants in a lake.
A plane flying horizontally at an altitude of 2 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your ans..
Suppose that a dynamic array stack doubles its capacity when it is full, and shrinks (on Pop only) its capacity by half when the array is half full or less.
0 2 4 1 3 5 (imagine the vertical sets of numbers are surrounded by a large parenthesis, as it is in a binomial expression)
The annual insurance premium on Maria Snyder's home is $2,074 and the annual property tax is $1,403. If her monthly principal and interest payment is $1,603.
Find the value of the linear correlation coefficient r.
Johnson's Furniture bought a table for $262 and marked it up 85% based on the cost. For a special promotion, it was marked down 25%.
Find the average rate of change of f(x) on the interval [3,3+h]. Your answer will be an expression involving h.
Associative Property of Multiplication
Find the area and the circumference of a circle with diameter3cm. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.
The bonus is half the difference between 1000 and the expenses. So, for example, if expenses were 800, the bonus would be 100. Find the expected value of the bonus in each of the given cases.
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