Answer: a. 0.6759 b. 0.3752 c. 0.1480
Step-by-step explanation:
Given : The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes
i.e.
minutes
minutes
Let x be the long-distance call length.
a. The probability that a call lasts between 5 and 10 minutes will be :-

b. The probability that a call lasts more than 7 minutes. :
![P(X>7)=P(\dfrac{X-\mu}{\sigma}>\dfrac{7-6.3}{2.2})\\\\=P(Z>0.318)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E7%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B7-6.3%7D%7B2.2%7D%29%5C%5C%5C%5C%3DP%28Z%3E0.318%29%5C%20%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C0.318%29%5C%5C%5C%5C%3D1-0.6248%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7Bby%20z-table%7D%5D%5C%5C%5C%5C%3D0.3752)
c. The probability that a call lasts more than 4 minutes. :

Answer:
If the child is currently 6 years old and the mom is 42, in three years she'll be 45 and he'll be 9
Step-by-step explanation:
The son is y and the mom is x
x=7y
x+3=5(y+3)
7y+3=5y+15
7y=5y+12
2y=12
y=6
A personal balance sheet provides an overall snapshot of your wealth at a specific period in time. It is a summary of your assets (what you own), your liabilities (what you owe) and your net worth (assets minus liabilities).
Answer:
I think this is the answer.
Step-by-step explanation:
I think it is C. but I am unsure, because I think it might also be able to be B.. Uh! I am so confused, but C. is my best guess.
• measure of the side: s = 3 in
You can find the height h by this formula:
s · √3
h = ————
2
3 · √3
h = ————
2
3√3
h = ———— in (exact value)
2
Using √3 ≈ 1.73,
3 · 1.73
h ≈ —————
2
5.19
h ≈ ————
2
h ≈ 2.60 in (approximate value)
I hope this helps. =)