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:
-99.12525
Step-by-step explanation:
diagonal is sqrt of (s^2 x 2)
8^2 = 64
64*2 = 128
sqrt(128) = 11.3137
round answer as needed
Answer:
2.83 inches
Step-by-step explanation:
The formula for surface area of cube = 6s²
Where
s = side length of cube
S.A = 6s²
s² = S.A/6
s = √S.A /6
For cube a
Surface area = 1200 in²
Hence,
side length = √1200/6
Side length = √200
= 14.14 inches
For cube b
Surface area = 768 in²
Hence,
side length = √768/6
Side length = √128
= 11.13 inches
How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?
Therefore,
14.14 inches - 11.13 inches
= 2.83 inches
