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bazaltina [42]
3 years ago
14

It’s part of my lil brothers hw and I don’t feel like helping him

Mathematics
2 answers:
hammer [34]3 years ago
8 0
The answers are
A :90 B:150
Naddika [18.5K]3 years ago
7 0

Answer:

Part A: 90

Part B: 150

Step-by-step explanation:

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A grading scale is set up for 1000 students' test scores. It assumes the
astra-53 [7]

Answer:

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

This means that \mu = 75, \sigma = 15

How many students will score between 48 and 75?

First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So

X = 75

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

Z = \frac{75 - 75}{15}

Z = 0

Z = 0 has a p-value of 0.5

X = 48

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

Z = \frac{48 - 75}{15}

Z = -1.8

Z = -1.8 has a p-value of 0.0359

1 - 0.0359 = 0.4641

Out of 1000:

0.4641*1000 = 464

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

7 0
3 years ago
The total number of subsets of {A, B, C} is _____.. . . a.6. b.7. c.8
Triss [41]
The total number of subsets of {A, B, C} is 8. It can be found by cubing 2 and the resulting answer will definitely be 8. The correct option among all the options that are given in the question is the third option or option "c". I hope that this answer has come to your help.
5 0
3 years ago
Read 2 more answers
Keith started saving for retirement at age 45 with plans to retire at age 70. He invested an average of $500 per month in variou
saveliy_v [14]
500×((1+0.06÷12)^(12×25)−1)÷(0.06÷12)
=346,496.98
8 0
3 years ago
(13 less than a)<br> How would this be solved in algebraic expression
Delicious77 [7]

Answer:

<em>a </em>- 13

Step-by-step explanation:

a- 13 because you are taking 13 away from a

8 0
3 years ago
Read 2 more answers
|x+8|=x+8 what is x?
Darya [45]

Answer:

x ≥ 0

Step-by-step explanation:

The absolute value of x+8 equals itself, thus x must be a real number (0 or any positive number).

7 0
3 years ago
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