20/28 = 3x / (4x + 2)
84x = 20(4x + 2)
84x - 80x = 40
4x = 40
x = 10
so the 2 lines are equal to 30 and 42
C because a is incorrect and so is b and d
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:
There are 35 adult dogs and 20 puppies
<em></em>
Step-by-step explanation:
<em>Represent the puppies with P and the Adult dogs with A</em>
Given

Dogs = 55
Required
Determine A and P
First, we need to sum the ratios;



Adult Dogs is then calculated as follows;




Puppies is calculated by subtracting the number of adult dogs from the total



<em>Hence;</em>
<em>There are 35 adult dogs and 20 puppies</em>
Washington, West Virginia, Wisconsin, Wyoming
Four states out of 50
4 / 50 * 100 = 8 per cent.