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3 years ago

Line z has a slope of 2.5 and goes through point (4, 13). Which equation best represents line z?

Mathematics

1 answer:

AnnyKZ [126]3 years ago

3 0

Answer:

y - 13 = (5/2)(x - 4)

Step-by-step explanation:

Here we know the slope and one point on the line. Use the point-slope formula:

y - k = m(x - h).

Substituting 13 for k, 4 for x and 2.5 for m, we get:

y - 13 = (5/2)(x - 4)

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Answer:

it will take 10 weeks for him to pay his brother completly

Step-by-step explanation:

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3 years ago

Im begging someone help me please

Tems11 [23]

Answer:

c. a: 4

b: 12

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3 years ago

What is the equation of a parabola that opens left with a vertex of (-1,1)

xeze [42]

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3 years ago

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that $\mu = 434$

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

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3 years ago

Rewrite 20 = 8x + 4r

3241004551 [841]

Answer:

Step-by-step explanation:

20 = 8x + 4r can be rewritten in multiple ways.

1. Reduce the coefficients: 5 = 2x + r

2. Solve for r: r = 5 - 2x

5 - r

3. Solve for x: x = -----------

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3 years ago