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insens350 [35]
4 years ago
13

which equation represents a proportional relationship that has a constant of proportionality equal to 1/5

Mathematics
2 answers:
Sophie [7]4 years ago
5 0

Answer:

Option C is correct

y = \frac{1}{5}x

Step-by-step explanation:

The Proportional relationship says that:

y \propto x then

the equation is of the form :

y = kx .....[1] where k is the constant of Proportionality

As per the statement:

Constant of proportionality (k) = \frac{1}{5}

Substitute in [1] we get;

y = \frac{1}{5}x

Therefore, an equation represents a proportional  relationship that has a constant of proportionality equal to 1/5 is y = \frac{1}{5}x

Ymorist [56]4 years ago
5 0

Answer:

Option C is correct

y = 1/5 x

Step-by-step explanation:

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Answer:

SAS

Step-by-step explanation:

The two triangles share a side, so that would be reflexive to show that side is congruent. Also, keep in mind that all right angles are congruent! The picture already tells us that the two outer side are congruent. So in conclusion, the two angles are congruent by SAS.

Hope this helps! :)

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3 years ago
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An education researcher claims that 58​% of college students work​ year-round. In a random sample of 400 college​ students, 232
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Answer:

The proportion of college students who work​ year-round is 58%.

Step-by-step explanation:

The claim made by the education researcher is that 58​% of college students work​ year-round.

A random sample of 400 college​ students, 232 say they work​ year-round.

To test the researcher's claim use a one-proportion <em>z</em>-test.

The hypothesis can be defined as follows:

<em>H</em>₀: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> = 0.58.

<em>Hₐ</em>: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> ≠ 0.58. C

Compute the sample proportion as follows:

 \hat p=\frac{232}{400}=0.58

Compute the test statistic value as follows:

 z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.58-0.58}{\sqrt{\frac{0.58(1-0.58)}{400}}}=0

The test statistic value is 0.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

 p-value=2\times P(z

*Use a z-table for the probability.

The p-value of the test is 1.

The p-value of the test is very large when compared to the significance level.

The null hypothesis will not be rejected.

Thus, it can be concluded that the proportion of college students who work​ year-round is 58%.

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