4(-3) + 3(-5) + 7
-12+-15+7=-20
Answer:
<h2>D. 0.389</h2>
Step-by-step explanation:
We need to find the probability of a studend taking a humanities class, given the student is male.
In this case, the total number of outcomes 180, which is the total number of male students. The possible event is 70, which is all male students which take humanities class.
So, the probability is

Therefore, the right answer is D., the probability that a student is taking a humanities class, given the student is male, is 0.389, rounded to the nearest thousandth.
Answer: The perimeter is 30ft.
Step-by-step explanation:
Let's define:
L = length of the longer side.
S = length of the shorter side.
P = perimeter
we know that for a common rectangle:
P = 2*S + 2*L
We aso know that:
L = 2ft + (1/3)*P
S = (1/10)*P
L = S + 9ft.
So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)
First, we can replace the third equation in the first equation, now we have a system with only two equations:
S + 9ft = 2ft + (1/3)*P
S = P/10
Now we can replace the second equation in the first equation, and get:
P/10 + 9ft = 2ft + P/3
Now let's solve this for P.
9ft - 2 ft = P/3 - P/10
7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)
(30/7)*7ft = P = 30ft.
The perimeter is 30ft.
Using the combination formula, it is found that he has 232 choices.
The order in which the sights are seen is not important, hence the <em>combination formula </em>is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:

In this problem, the choices are 8, 9, 10 or 11 sights from a set of 11, hence:

He has 232 choices.
You can learn more about the combination formula at brainly.com/question/25821700
9514 1404 393
Answer:
-5x² -4x +8
Step-by-step explanation:
Eliminate parentheses and collect terms.
(-2x² +3) -(3x² +4x -5)
= -2x² +3 -3x² -4x +5
= (-2-3)x² -4x +(3 +5)
= -5x² -4x +8