A mouse is placed at random in one of five compartments of a maze. The probability of it going to another compartment is given in the following transition matrix. Using this information, solve the problem.1 2345
Find the probability that a mouse ends up in compartment 5, if it started in compartment 5.
A. 0.2
B. 0
C. 1
D. 0.5
Answer: C
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Solve the problem.A formula for the length of a diagonal from the upper corner of a box to the opposite lower corner is where L, W, and H are the length, width, and height, respectively. Find the length of the diagonal of the box if the length is 20 inches, width is 14 inches, and height is 9 inches. Leave your answer in simplified radical form.
A. in.
B. in.
C. in.
D. in.
Two cards are dealt without replacement from a well shuffled deck of cards. Find the probability that the first card is a two or a nine.
What will be an ideal response?
Express the percent as a fraction or mixed number in simplest form.62.5%
A.
B. 6
C.
D. 1
Solve the linear programming problem.The Jillson's have up to $75,000 to invest. They decide that they want to have at least $25,000 invested in stable bonds yielding 6% and that no more than $45,000 should be invested in more volatile bonds yielding 12%. How much should they invest in each type of bond to maximize income if the amount in the more volatile bond should not exceed the amount in the more stable bond? What is the maximum income?
What will be an ideal response?