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Zepler [3.9K]
3 years ago
9

Which quadratic function in vertex form can be represented by the graph that has a vertex 3.-7) and posses

Mathematics
1 answer:
vovangra [49]3 years ago
5 0

Answer:D

Step-by-step explanation:

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A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that
ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 problem, we have that:

\mu = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

5 0
3 years ago
Show two different ways to factor -12x+24-18y
klasskru [66]
I’m not sure what they are asking for. One way is -6(2x -4 + 3y)

That’s really the only way to factor it
5 0
3 years ago
A boy is 6 years older than his sister. In three years time he will be twice her age. What
Masja [62]

Answer:

12 years old

18-6=12

3 0
3 years ago
N a​ triangle, the measure of the first angle is twicetwice the measure of the second angle. the measure of the third angle is 6
11111nata11111 [884]
2x+x+x+68=180                          
4x=112                                        
x=28

Angle 1: 56 degrees
Angle 2: 28 degrees
Angle 3: 96 degrees 

I hope that helps.

6 0
3 years ago
Write (p^4)^2 without exponents
Sonbull [250]

Answer:

(p^4)^2 = p x p x p x p x p x p x p x p

Step-by-step explanation:

(p^4)^2 = p^8 = p x p x p x p x p x p x p x p

4 0
2 years ago
Read 2 more answers
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