<span>Simplifying
z + 18 = y
Reorder the terms:
18 + z = y
Solving
18 + z = y
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-18' to each side of the equation.
18 + -18 + z = -18 + y
Combine like terms: 18 + -18 = 0
0 + z = -18 + y
z = -18 + y
Simplifying
z = -18 + y</span>
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
Normal Probability Distribution
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, for n instances of a normal variable, the mean is
while the standard deviation is
.
In this problem:
- Mean of 4 candies, hence
. - Standard deviation of 1.5 candies, hence
. - She visited 35 houses, hence

The probability is the <u>p-value of Z when X = 122</u>, hence:

By the Central Limit Theorem



has a p-value of 0.
Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
A similar problem is given at brainly.com/question/24663213
That is in standard form except the -7 would be written as a power next to the 10. As an ordinary number it is 0.000000475
I think that the answer will be c
.22a is the algebraic expression. I hope this helps and have a great day!