Hi there! Since the ratios of students at Hanover High School are in different scales, we need to scale them up! First, let's take the ratio 1:2. This can be scaled up to 5:10. Now, combine the two ratios to find the ratio of freshmen to sophomores. 3:10 + 5:10 = 8:10. The remaining number is 2, since 8 + 2 = 10, so the ratio of freshmen to sophomores is 2:10!
Hope this was helpful!
F(x) = x² - 3x
g(x) = √x - 1
f(g(x))= (√x - 1)² - 3(√x - 1) = (√x - 1)(√x - 1 - 3) =(√x - 1)(√x - 4) =
= √x √x -1*√x -4*√x +4 = x -5√x +4
Answer: x -5√x +4
12/99 is the fraction form
Answer:
8 possibilities
Step-by-step explanation:
The pies we have to choose from are 1)Apple 2)Cherry 3)Blueberry or 4)Peach.
The beverages we have to choose from are 1)Milk and 2)Juice.
Here are the possibilities:
Apple + Juice
Apple + Milk
Cherry + Juice
Cherry + Milk
Blueberry + Juice
Blueberry + Milk
Peach + Juice
Peach + Milk
So we have a total of 8 possibilities for one pie and one beverage.
Answer:
Explained below.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of stars in a given volume of space.

The probability mass function of <em>X</em> is:

(7)
Compute the probability of exactly two stars in 16 cubic light-years as follows:

(8)
Compute the probability of three or more stars in 16 cubic light-years as follows:

(9)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.
(10)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in <em>t</em> cubic light years there will be, [<em>t</em> × (1/16)] stars.