Answer:
37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the probability that randomly selected homework will require between 8 and 12 minutes to grade?
This is the pvalue of Z when X = 12 subtracted by the pvalue of Z when X = 8. So
X = 12



has a pvalue of 0.4052
X = 8



has a pvalue of 0.0329
0.4052 - 0.0329 = 0.3723
37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade
Answer: There will be 313600 population on beth's 16 birthday.
Step-by-step explanation:
Since we have given that
When Beth was born , the population of her has increased = 850 per year
Let the initial population be x
and let the number of year be n
So, our linear equation becomes,

On her 9th birthday,
The population becomes 307,650.
So, it becomes,

So, initial population becomes 300000.
Now, on 16th birthday,

So, there will be 313600 population on beth's 16 birthday.
It had to be 56 it can go aby higher than that
Answer:

Step-by-step explanation:
Using the rules of exponents
•
⇔ 
•
⇔ ![\sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
Hence
= 
=
=
= 