Answer:
22.29% probability that both of them scored above a 1520
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:

The first step to solve the question is find the probability that a student has of scoring above 1520, which is 1 subtracted by the pvalue of Z when X = 1520.
So



has a pvalue of 0.5279
1 - 0.5279 = 0.4721
Each students has a 0.4721 probability of scoring above 1520.
What is the probability that both of them scored above a 1520?
Each students has a 0.4721 probability of scoring above 1520. So

22.29% probability that both of them scored above a 1520
Answer: Sales tax is $4.80 and the total cost is $64.80
Step-by-step explanation: Take the difference in the total before and after tax and divide by the price before tax.
To get $4.80, find the sales tax of $60.00 of 8%
We can use this formula: (selling price x sales tax rate)
The sales tax is: $4.80
To find the total cost, add 60.00 by the sales tax. ($4.80)
60.00 + 4.80 = $64.80
Therefore, these are your answers: $4.80 and $64.80
Answer:
The student will have to reimburse 2,991.03 two years later.
Step-by-step explanation:
This is a compound interest problem:
The compound interest formula is given by:

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:
A is the amount the student will have to reimburse two years later.
P is his loan. so 
The bank loans this money at a rate of 9 % capitalized monthly. This means that
and
, since the money is compounded monthly, this means, 12 times in a year.
He will have to reimburse two years later, so 



The student will have to reimburse 2,991.03 two years later.