A^2 + b^2 = c^2 in right triangles.
4^2 + b^2 = 8.5^2
16 + b^2 = 72.25
b^2 = 56.25
b = 7.5
He needs 13 cans of paint.
The lateral area is given by the area of 5 rectangles, whose dimensions are 15 by 5:
5(15)(5) = 375
Divide this by 30:
375/30 = 12.5 ≈ 13
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
Your equation is 6/25 = d/30. to solve this equation we have to get d by itself! to do this, you have to multiply each side by 30 since d is being divided by thirty. d/30 x 30 = d, 6/25 x 30 = 7.2, or 7 2/10
therefore, d = 7.2
hope this helps!