3 years ago

I NEED HELP RIGHT NOW ! PLEASE HURRY UP ASAP

Mathematics

1 answer:

Igoryamba3 years ago

6 0

Answer:

Step-by-step explanation:

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Read 2 more answers

Scores for a common standardized college aptitude test are normally distributed with a mean of 506 and a standard deviation of 1

aleksandrvk [35]

Answer:

25.14% probability that his score is at least 582.5.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 506, \sigma = 114$

If 1 of the men is randomly selected, find the probability that his score is at least 582.5.

This is 1 subtracted by the pvalue of Z when X = 582.5. So

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

$Z = \frac{582.5 - 506}{114}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486

1 - 0.7486 = 0.2514

25.14% probability that his score is at least 582.5.

6 0

3 years ago

SHOW STEPS!! 4. x + 4y -- 67 = -1 2x - y + 2z = -7 -x + 2y -- 43 = 5

mafiozo [28]

1.x+4y- - 67 =-1
x+4y+67=-1
x+4y=-1-67
X+4y=-68

2.2x-y+2z=-7
2x=-7+y-2z
x=-7/2+1/2y-z
x=-7/2+1/2y-z, y€R, z€R

Warning: I don’t have the € and R

3.-x+2y- -43=5
-x+2y+43=5
-x+2y=5-43
-x+2y=-38
x-2y=38

Hope this helps!
Please mark me brainliest if possible

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