Answer:
8,64,216,512
Step-by-step explanation:
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
Answer:
x=−12
Step-by-step explanation:
Let's solve your equation step-by-step.
5x+6=2(2x−3)
Step 1: Simplify both sides of the equation.
5x+6=2(2x−3)
5x+6=(2)(2x)+(2)(−3)(Distribute)
5x+6=4x+−6
5x+6=4x−6
Step 2: Subtract 4x from both sides.
5x+6−4x=4x−6−4x
x+6=−6
Step 3: Subtract 6 from both sides.
x+6−6=−6−6
There 60 pints in 15 gallon
6.83 as a mixed number is:
6 83/100
