Answer:
Sue must score 94 on the final test to earn a B.
Step-by-step explanation:
There are five tests in total.
Sue's average on the first four tests is 84.
If after the final test, she scores X, she will have a B on average of five tests.
We have the following equation:
86 = (4 × 84 + X)/5
<=> X = 5 × 86 - 4 × 84
=> X = 94
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:
14 + 16 - 35 = ?
Step-by-step explanation:
do the math and that should be the answer
3280.839895 ft = 1 km
60 ft = 60/3280.839895 = 0.018288 km
60 ft/s = 0.018288 km/s = 0.018288 x 60 x 60 = 65.8368 km/h
Ok so the wording is confusing
is it
A. 3 friends took 1 slice each (total is 3 slice) or
B. 3 friends took 1 slice total
if A, go to AAAAAA
if B. to to BBBBB
AAAAAAAAAA
3 slices taken
fraction is parts out of whole
what is left
left=original-taken
taken=3
original=8
8-3=5
5=left
fraction is 5/total=5/8
BBBBBB
taken=1
fraction is parts out of whole
what is left
left=original-taken
taken=1
original=8
8-1=7
7=left
fraction is 7/total=7/8
if 3 slices taken total then 5/8 left
if 1 slice taken totl then 7/8 left