Answer:
4/3
Step-by-step explanation:
Your Welcome
Answer: -10/9
Step-by-step explanation: is this what you were looking for
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%
<h2>-2+5i and 2+5i</h2>
Step-by-step explanation:
Let the complex numbers be
.
Given, sum is
, difference is
and product is
.
⇒ 
⇒ 


Hence, all three equations are consistent yielding the complex numbers
.
Answer:
She purchased the item at a price of Rs 1,406.
Step-by-step explanation:
5% of discount:
This means that she paid 100% - 5% = 95% = 0.95 of the original price of x, that is, 0.95x, and 0.05x was the discount.
Original price:
She got the discount amount of Rs 74.
74 is 5% of the original price, that is:



What price she purchased:
74 subtracted from the original price, that is, x - 74. So 1480 - 74 = 1406.
She purchased the item at a price of Rs 1,406.