Combine like terms
2x^2 + -7x^2 = -5x^2
-9x + 4x = -5x
3 + -2 = 1
put back together
-5x^2 - 5x +1
Answer:
absolute value is the number itself regardless if it is negative or positive
Answer:
See attachment for triangle
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Step-by-step explanation:
Given
Shape: Equilateral triangle

Required
Draw the triangle
First, we determine the side lengths.
The perimeter of an equilateral triangle is:

So, we have:

Solve for Length


<em>See attachment for triangle</em>
Answer: 15 with a remainder of 3
Answer:
Probability that exactly 5 of them have blue eyes is 0.1165.
Step-by-step explanation:
We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.
The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 40 students
r = number of success = exactly 5
p = probability of success which in our question is % of people
having blue eyes, i.e; 8%
<em>LET X = Number of students having blue eyes</em>
So, it means X ~ 
Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)
P(X = 5) = 
= 
= 0.1165
Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.