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3 years ago

Y = –8x + 8 y = –8x + 8

Mathematics

1 answer:

fiasKO [112]3 years ago

5 0

Answer:

x=0

y=8

Step-by-step explanation:

This is a simultaneous equation

So let's solve

y=-8x+8..(1)

y=-8x+8...(2)

Add (1) and (2)

2y=16

Make y the subject of formula by dividing both sides by 2

y=8

Substitute the value for y into (2)

8=-8x+8

Collect like terms

8-8=-8x

0=-8x

Divide both sides by-8

x=0

Therefore x is 0 and y is 8

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What is the value of the expression? ( 5/2 ) ^2 +3/4 ^3

NeX [460]

5/2 ^2 = 6 1/4 = 6.25

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3 years ago

An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the

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Answer:

Grades between 62 and 64 result in a D grade.

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:

$\mu = 71.9, \sigma = 7.8$

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

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

$-0.995 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -0.995*7.8$

$X = 64$

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

$-1.28 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -1.28*7.8$

$X = 62$

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Answer:

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