Answer:
It's -39/125
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
Find the Greatest Common Factor (GCF) of 312 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8
Therefore
X=39/125
In conclusion,
−0.312=−39/125
When we say cubic root, it means that the exponent of your divisor is three. You can solve this by counting how many three's are there in a ten. So there are three three's. the other x has an exponent one and therefore is denoted by ∛x. The answer would be x³∛x.
Answer:
Multiply it by 100%
Step-by-step explanation:
1/2 = 1/2×100% = (1/2×100)% = 50% . . . . . for example
_____
Equivalently, express the ratio with 100 as the denominator.
... 1/2 × 50/50 = 50/100 = 50%
_____
It can be useful to think of "%" as a shorthand way to write "/100".
Answer:
12
Step-by-step explanation:
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%
