The answer is a have a great day/night !
Z = 17.
2(4z -8) = 120
8z -16 = 120
z -2 = 15
z = 17
Answer:
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.
Step-by-step explanation:
For each class, there are only two possible outcomes. Either Ariana is on time, or she is not. The probability of Ariana being on time for a class is independent of other classes. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The probability that Ariana is on time for a given class is 69 percent.
This means that 
If there are 39 classes during the semester, what is the best estimate of the number of times out of 39 that Ariana is on time to class
This is E(X) when n = 39. So

Rounding
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.
Answer:
C
Step-by-step explanation:
Let x represent invested money at 9% and y at 7%
Now we write system:
x+y = 6300
1.09*x + 1.07* y = 6300 + 493 = 6793
1.09x + 1.09y = 6867
Here we multiplied first equation with 1.09 and now we will subtract second from first:
0.02y = 74
y = 3700
x = 6300-3700 = 2600
Michael invested 2600 at 9% and 3700 at 7%