Answer: 95.45 %
Step-by-step explanation:
Given : The distribution is bell shaped , then the distribution must be normal distribution.
Mean : 
Standard deviation :
The formula to calculate the z-score :-

For x = 13

For x = 19

The p-value = 

In percent, 
Hence, the percentage of data lie between 13 and 19 = 95.45 %
(2x - 3y + 5z) - (-4x - y + 8z)
= 2x - 3y + 5z + 4x + y - 8z
= 6x - 2y - 3z
In short, Your Answer would be Option D
Hope this helps!
Answer:
0.6154 = 61.54% probability that the student is an undergraduate
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Foreign
Event B: Undergraduate.
There are four times as many undergraduates as graduate students
So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.
Probability the student is foreign:
10% of 80%
25% of 20%. So

Probability that a student is foreign and undergraduate:
10% of 80%. So

What is the probability that the student is an undergraduate?

0.6154 = 61.54% probability that the student is an undergraduate
Well we know that sin(angle) = opposite/hypotenuse. using the angle of 38 degrees we see that the opposite is 24 and the hypotenuse is x. So we fill in equation:
sin (38) = 24/x
x *sin (38) = 24
x = 24/ sin (38)
x = 38.98
x = 39.0
How am i supposed to draw it ??