Answer: 90% of people getting married for the first time get married before age of 31.13.
Step-by-step explanation:
Given : The average age (
) for a person getting married for the first time is 26 years (U.S. News and World Report, June 6, 1994).
We assume that the ages for first marriages have a normal distribution with a standard deviation (
) of 4 years.
Let x be the age before that 90% of people getting married for the first time get married.
From z-table , the value corresponds to p-value of 0.90 is 1.28155.
Formula : ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![1.28155=\dfrac{x-26}{4}\\\\ x-26=4\times1.28155\\\\ x-26=5.1262\\\\ x=5.1262+26=31.1262\approx31.13](https://tex.z-dn.net/?f=1.28155%3D%5Cdfrac%7Bx-26%7D%7B4%7D%5C%5C%5C%5C%20x-26%3D4%5Ctimes1.28155%5C%5C%5C%5C%20x-26%3D5.1262%5C%5C%5C%5C%20x%3D5.1262%2B26%3D31.1262%5Capprox31.13)
Hence, 90% of people getting married for the first time get married before age of 31.13.
Answer:
AB=36
Step-by-step explanation:
BC=AC
AB=√(AC²+BC²)=√[(18√2)²+(18√2)²]=√(2×18²×2)=2×18=36
If she wants to frame a square painting with an area of 400 square inches, all you would have to do is to find the square root of 400, which is 20. Thus, each side is 20 inches long.
If you have to set an equation up, it would simply be:
Cleary it fits 1 2/3 3/5 more than twice
Answer:
The diagonal length of a diskette is ![\sqrt{50}](https://tex.z-dn.net/?f=%5Csqrt%7B50%7D)
Step-by-step explanation:
Given:
sides = 5 inches
To Find:
diagonal length of a diskette = ?
Solution:
The diskette is in the shape of square
So the diagonal of square = ![s \sqrt{2}](https://tex.z-dn.net/?f=s%20%5Csqrt%7B2%7D)
where s is the side of the square
On substituting the square value
The diagonal of diskette = ![(5) \sqrt{2}](https://tex.z-dn.net/?f=%285%29%20%5Csqrt%7B2%7D)
The diagonal of diskette =
![[\because 5 = \sqrt{5} \cdot \sqrt{5} ]](https://tex.z-dn.net/?f=%5B%5Cbecause%205%20%3D%20%5Csqrt%7B5%7D%20%20%5Ccdot%20%5Csqrt%7B5%7D%20%5D)
The diagonal of diskette = ![\sqrt{50}](https://tex.z-dn.net/?f=%5Csqrt%7B50%7D)