9514 1404 393
Answer:
90.1 m
Step-by-step explanation:
The length of the shortcut is the hypotenuse of a right triangle with side lengths 30 and 85. That length can be found using the Pythagorean theorem.
PQ² = 30² +85² = 8125
PQ = √8125 ≈ 90.1
The length of the shortcut is 90.1 meters.
Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:
Z = (X - mu)/sigma
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given as follows:
mu = 400, sigma = 50
The probability is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 500</u>, hence:
X = 550:
Z = (X - mu)/sigma
Z = (550 - 400)/50
Z = 3
Z = 3 has a p-value of 0.9987.
X = 500:
Z = (X - mu)/sigma
Z = (500 - 400)/50
Z = 2
Z = 2 has a p-value of 0.9772.
0.9987 - 0.9772 = 0.0215 = 2.15% probability.
More can be learned about the normal distribution at brainly.com/question/15181104
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Answer:
w = 
Step-by-step explanation:
We can find the formula for the width by isolating w:
V = lwh
Divide each side by lh to isolate w:
= w
N=7 because u subtract 5 from both sides that gives u 1. Then u add 6 and there’s ur answer
Answer:
(4n)^3
Step-by-step explanation:
Let n = number
4 times a number
4n
Cubed
(4n)^3
