Answer:
x = 1
Step-by-step explanation:
Substitute a number for each variable
Ex.
2x x=5
(2)(5)
=10
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
You are correct there's at least one obtuse angle
The answer would be -7.
7 - (-4) - 18 (Simplify 3 * (-6) to -18)
7 + 4 - 18 ( Simplify brackets )
-7 (Simplify).
