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%
-12/6+2
=-12/6+2/1
=-2/1+2/1
=-2+2/1
=0
From looking at that equation you put this is my solution.
Answer:
x= -1 or x = -2
Step-by-step explanation:
Your equation:
(x−3)^3−(x−1)^3+7x^2=7(3x−4)
Step 1: Simplify both sides of the equation.
x^2+24x−26=21x−28
Step 2: Subtract 21x-28 from both sides.
x^2+24x−26−(21x−28)=21x−28−(21x−28)
x^2+3x+2=0
Step 3: Factor left side of equation.
(x+1)(x+2)=0
Step 4: Set factors equal to zero.
x+1=0 or x+2=0
which equals to x=−1 or x=−2
Answer:
64
Step-by-step explanation: