Answer:
<em>A.) There is a 3.4% chance that a random sample of 50 expectant mothers will have a mean age of 26.5 years old or greater if the mean age for a first time mother is 26 years old.</em>
Step-by-step explanation:
The mean age for a first time mother is assumed 26 years old (null hypothesis) and <em>p-value</em> of the sample mean (26.5 years ) is found as 0.034.
This is the probability of having first time mother mean age 26.5 or greater <em>under the assumption of null hypothesis. </em>
Answer:
Step-by-step explanation:
![\dfrac{3}{6}=\dfrac{9}{18}=\dfrac{27}{54}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B6%7D%3D%5Cdfrac%7B9%7D%7B18%7D%3D%5Cdfrac%7B27%7D%7B54%7D)
![\dfrac{3*3}{6*3}=\dfrac{9}{18}\\\\\\\dfrac{3*9}{6*9}=\dfrac{27}{54}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%2A3%7D%7B6%2A3%7D%3D%5Cdfrac%7B9%7D%7B18%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B3%2A9%7D%7B6%2A9%7D%3D%5Cdfrac%7B27%7D%7B54%7D)
<u>Answer: </u>
Simplified form of given expression (2x – 9 )( x + 6 ) is ![2 \mathrm{x}^{2}+3 \mathrm{x}-54](https://tex.z-dn.net/?f=2%20%5Cmathrm%7Bx%7D%5E%7B2%7D%2B3%20%5Cmathrm%7Bx%7D-54)
<u> Solution:
</u>
We need to simplify following expression.
(2x – 9) ( x + 6)
For sake of simplicity lets first assume 2x – 9 = A
So expression becomes A(x+6)
= Ax + A6
Now replace A by 2x – 9
= (2x – 9 ) x + (2x – 9 ) 6
![=2 \mathrm{x}^{2}-9 \mathrm{x}+12 \mathrm{x}-54](https://tex.z-dn.net/?f=%3D2%20%5Cmathrm%7Bx%7D%5E%7B2%7D-9%20%5Cmathrm%7Bx%7D%2B12%20%5Cmathrm%7Bx%7D-54)
On simplification, we get
![=2 \mathrm{x}^{2}+3 \mathrm{x}-54](https://tex.z-dn.net/?f=%3D2%20%5Cmathrm%7Bx%7D%5E%7B2%7D%2B3%20%5Cmathrm%7Bx%7D-54)
Hence simplified form of given expression (2x – 9 )( x + 6 ) is ![= 2 \mathrm{x}^{2}+3 \mathrm{x}-54](https://tex.z-dn.net/?f=%3D%202%20%5Cmathrm%7Bx%7D%5E%7B2%7D%2B3%20%5Cmathrm%7Bx%7D-54)
The answer is The equation 3.5|6x – 2| = 3.5 has one solution