Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.
The score that cuts off the bottom 2.5% is 48.93.
To find the slope of the line, you need two points.
(-2 , 5) and (3 , -5)
5 - (-5) / -2 - 3
10 / -5 = -2
The slope of the line is -2. So your answer is C.
Polynomial are expressions. The equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.
<h3>What are polynomial?</h3>
Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
In order to find the equivalent four-term polynomial of the given quadratic equation, we will break constant b(16) into two parts such that the sum of the parts is 16, while their product is equal to the product of the constant a(1) and c(48).
Therefore, the solution of the polynomial is,
Hence, the equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.
Learn more about Polynomial:
brainly.com/question/17822016
Step-by-step explanation:
a. 2(y-8)
= 2y-16
b. 3(x-5)
= 3x-15
c.6(b-4)
= 6b-32
d.7(d-2)
= 7d-14
e.5(2-y)
= 10-5y
f.3(4-t)
= 12-3t
g.5(b-a)
=5b-5a
h.7(2-h)
= 14-7h
