Complete the problems. Show your work.
1 answer:
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Answer:
1/6
1/6
1/36
Events A and B are independent
Step-by-step explanation:
Suppose:
A = event that first die lands on 2
B = event that second die lands on 2
Sample space:
Die 1 = 1,2,3,4,5,6
Die 2 = 1,2,3,4,5,6
Sample space of both die combined is attached below
Probability = (total number of required outcomes / total number of possible outcomes)
Probability that first die lands on 2:
P(A) = 1/6
Probability that second die lands on 2:
P(B) = 1/6
Probability of A and B:
P(A and B) = 1/6 × 1/6 = 1/36
Evebts A and B are independent because, the outcome of one event does not affect the occurrence of the other event.
The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
<h3>How to order the functions?</h3>The rate of change is calculated using:
For function g at the interval [2,3], we have:
This gives
For function h at the interval [0,2], we have:
Where:
h(2) = 3(3)^2 - 9 = 18
h(0) = 3(3)^0 - 9 = -6
This gives
For function f at the interval [1,2], we have:
This gives
Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
Read more about average rates of change at:
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