Answer: H
Step-by-step explanation:
Semester 1:
let the number of students in the art class be 2a, and the number of the students in the gym class be 7a. (check: the ratio is 2a:7a = 2:7)
so the total number of students is 9a.
semester 2:
the 9a students are go to the art class and gym class at a a ratio of 5: 4,
so 5a students go to the art class, and 4a students go to the gym class.
<span>75 students are in art class in second semester means that 5a=75,
so a=75/5=15.
In the 1st semester the number of students was:
art class: 2a=2*15=30
gym class: 7a=7*15=105</span>
Answer:
a) E(y) = 0.8
b) The average subcharge is $165
Step-by-step explanation:
We are given the following distribution in the question:
y: 0 1 2 3
P(y): 0.50 0.25 0.20 0.05
a) E(y)

b) Expected value of subcharge
Subcharge =

Expected value of subcharge =

Thus, the average subcharge is $165
To find the diameter of a circle, using only the circumference, you need to divide the circumference by π, or 3.14.
So in this case, you must divide 12 by 3.14, which gives you 3.82.
I even double checked this, and should be correct then.
Answer:
Option b
Step-by-step explanation:
To solve this problem use the law of the sines.
We have 2 angles of the triangle and one of the sides.

The law of the sines is:

Then:

