Answer:
Use the normal distribution if the population standard deviation is known.
Use the student's t distribution when the population standard deviation is unknown.
Explanation:
A mound-shaped distribution refers to the normal distribution.
A good sample size for testing against the normal distribution should be
n >= 30.
The condition for the sample size is satisfied.
However, we are not given the population standard deviation, therefore it is assumed to be unknown.
Therefore the student's t distribution should be used.
12 is the number of $10 bills
20 is the number of $20 bills
<u><em>Step-by-step explanation:</em></u>
<u><em /></u>
Hello,
<u>Let's note</u>
a the number of $10 bills
b the number of $20 bills
The total value is $520 so we can write the first equation (1)

We know that there are 32 bills in total so we can write the second equation (2)

(1) - 10*(2) gives
10a + 20b - 10(a+b) = 520 - 320 = 200
10a + 20b - 10a - 10b = 10b = 200
So b = 200/10=20
and then from (2) a = 32 - 20 = 12
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
f(x) = (1/x) - 5
g(x) = x^2 + 2
=> f[g(x)] = [1/(x^2 +2)] - 5