Discrete Math Final Exam Review: Matrices

The birth rates and survival rates for a particular population of female sheep are shown in the chart. The initial population distribution of the sheep, in order of age 1 to 5, is 20, 16, 7, 11, and 15.

Approximately how many 3 year old sheep would you expect there to be in 5 years?

• 10

• 11

• 12

• 13

What is the value of x in the matrix equation?

Tags

CCSS.HSN.VM.C.8

• [26 -2]

• [28 4]

• [-28 -4]

• [-26 2]

Fred is stocking up on his canned goods in order to prepare for the apocalypse. He recently got a good deal on several cans of corn and tuna. The corn he bought costs $0.75 a can, and the tuna he bought costs $1.40 a can. Altogether, he spent $79.70 on a total of 82 cans.

How many cans of tuna did he buy?

• 24

• 28

• 32

• 36

Tags

CCSS.8.EE.C.8C

Lars always does one of three activities in the evening: read, watch television, or play a video game. The probability of him doing each of these activities depends on what he did the night before. These probabilities are given in the Markov chain.

If he reads on Monday evening, what is the approximate probability that he plays a video game that Friday evening?

• 62%

• 69%

• 76%

• 83%

For what value of x does the inverse of the matrix not exist?

Tags

CCSS.HSA.REI.C.9

Which of the following operations are possible?

Mark ALL that apply.

Tags

CCSS.HSN.VM.C.8

• -7

• -5

• 0

• 2

What is the sum of x and y in the matrix equation below?