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3 years ago

Write an equation of the line that passes through (4,1) and is parallel to y=-2x+7

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

Answer:

It would be y= -2x+9

GrogVix [38]3 years ago

5 0

Answer:

y = -2x + 9

Step-by-step explanation:

Using the slope intercept equation y=mx+b, we can see that the slope of the line parallel to y = -2x + 7 is -2.

m = -2

Use the point slope formula y - y1 = m(x - x1) to find the line that runs through (4,1)

y - 1 = -2(x - 4)

Simplify

y - 1 = -2x + 8

y = -2x + 9

You can check your answer by putting in the point and seeing if the equaiton is true

1 = -2(4) + 9

1 = -8 + 9

1 = 1

True

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4 years ago

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Yes, there is sufficient evidence to support the claim that the mean cost is $1.

Step-by-step explanation:

Data Given:

The population standard deviation $\sigma$ = $0.2

The sample mean cost $\bar {X}$ = $0.93

The sample size n = 12

From above we can use the Z-test for testing the mean from the above given data.

To check whether the mean cost of newspaper is $1.00

$\mathbf{H_o}$ : $\mu$ = $1

$\mathbf{H_1}$ : $\mu$ $\neq$ $1

The test statistics Z = $\frac{\bar {X}- \mu}{\frac{\sigma }{\sqrt{n}} }$

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Since the value of P is more than the significance level; do not reject the $\mathbf{H_o}$

Conclusion: We therefore conclude that there is sufficient evidence to support the claim that the mean cost is $1.

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3 years ago