Answer:
C.
Step-by-step explanation:
Since 40% of the students prefer chocolate ice cream, 60% don't prefer chocolate ice cream. Use this proportion set equal to 25 to find the number of students who prefer vanilla ice cream, instead of chocolate ice cream.
Answer:
Step-by-step explanation:
<u>First, Let's solve for x in -2x+2y=-4:</u>
<u>Subtract 2y from both sides:</u>
<u>Divide both sides by -2:</u>
<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>
→ let x=2+y
<u>Simplify:</u>
<u>Now, let's solve for y in 6+6y=-18</u>
<u>Subtract 6 from both sides:</u>
<u>Divide both sides by 6:</u>
<u>Now, substitute y=-4 into x=2+y:</u>
→ let y = -4
Therefore, x=-2 and y=-4.
<u>_____________________________________</u>
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
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (pi x 1^2) / 4
A = 1pi / 4
A = 0.79 square centimeters
Hope this helps! :)