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3 years ago

Tell whether x and y show direct variation. Explain your reasoning. x=y+2

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

It does not show variation

Step-by-step explanation:

Given

$x = y + 2$

Required

Determine if there's direct variation between x and y

The general form of direct variation is:

$y = kx$

Make y the subject of formula in the given parameters;

$x = y + 2$

$y = x - 2$

Compare $y = x - 2$ to $y = kx$

<em>Since they are not of the same form, then the given equation do not show direct variation</em>

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

NeX [460]

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.

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

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

$X - 71.9 = -1.28*7.8$

$X = 62$

Grades between 62 and 64 result in a D grade.

6 0

3 years ago

2(6k+8)-6k=4<br> What is the answer

lina2011 [118]

Answer:

k=-2

Step-by-step explanation:

2(6k+8)-6k=4

12k+16-6k=4

6k+16=4

6k=-12

k=-2

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3 years ago

2b+8-5b+3=-13+8b-5<br> b=?

irina1246 [14]

Answer:

b=4

Step-by-step explanation:

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3 years ago

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PAINTING Lisa is painting a fence that is 26 feet long and 7 feet tall. A gallon of paint will cover 350 square feet. Write and

skelet666 [1.2K]

First we need to find the area of the fence, since paint covers square feet and squared units refers to area. The area of the fence is 26 x 7, which is 182 sq ft. If one gallon of paint will cover 350 sq ft, your proportion will look like this, with gallons of paint on top and square feet on the bottom. $\frac{1}{350} = \frac{x}{182}$ . Cross multiply to get 350x = 182 and x = .52, just a bit over a half of a gallon of paint.

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3 years ago

Where to locate the nonnegative abscissa, positive ordinate

Fofino [41]

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3 years ago