Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%
Step-by-step explanation:
Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.
Let x be the weights of legal U.S. quarters .
Required probability: 
![=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275 \ \ \ [By\ P-value\ calculator]](https://tex.z-dn.net/?f=%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B5.33-5.67%7D%7B0.07%7D%29%2BP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B5.81-5.67%7D%7B0.07%7D%29%5C%5C%5C%5C%3DP%28z%3C-4.857%29%2BP%28z%3E2%29%5Capprox0.02275%20%20%20%20%5C%20%5C%20%5C%20%5BBy%5C%20%20P-value%5C%20calculator%5D)
The percentage of legal quarters will be rejected by the vending machine = 2.275%
Answer:
(-5,24)
Step-by-step explanation:
2f+3g-h
first we substitute in the numbers
2(-3)+3(1)-2
-6+3-2
-3-2
-5
Then again
2(5)+3(4)-(-2)
10+12+2
22+2
24
hope this helps!:)
Alright, so we know that there are 7 days a week with 24 hours per day.
24x7= 168 hours a week.
Convert the problem to an equation using the percentage formula: P% * X = Y.
Let's take the 40% that is Sleep and use it in the percentage formula with the 168 hours.
40%x168= roughly 67 hours.
Hope this helped!
Answer:
sorry I don't have the answer right now but ill let you know
Answer: A) 18.3 x 7 and D) 5.4 x 2.8
Step-by-step explanation:
A) 18.3 x 7 = 128.10
We can infer that 1 is in the tenths place.
B) 6.5 x 4.31 = 28.015
We can infer that 1 is not in the tenths place but rather the hundredths place.
C) 8.54 x 2.3 = 19.642
We can infer that 1 is not in the tenths place.
D) 5.4 x 2.8 = 15.12
We can infer that 1 is in the tenths place.
