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
8/3
divide both sides by 3 and you get x=8/3
Answer:
M(4, -3)
Step-by-step explanation:
Reflecting over the x-axis is simple:
If the x is positive, the reflection would be negative and vice versa.
In this case, the <em>y </em>isn't affected since it's only reflecting over the x-axis.
So, M is at the coordinates (4, -3)
the scale factor is 2.
because
if you look at the length <em>AL</em><em> </em>in the smaller shape, it is 2 squares.
now if you look at the length <em>AL</em><em> </em>in the enlarged shape, it is 4 squares.
to find the scale factor, do 4 ÷ 2 which is 2.
therefore the scale factor is 2
Answer:
1.
Step-by-step explanation:
The > symbol shows that you have to be older than 13, and there must be a line underneath to signify a can be equal to the number (meaning you can be 13 to do this).
