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olasank [31]
3 years ago
14

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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After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alu
valentina_108 [34]

Answer:

P-value for this hypothesis test is 0.00175.

Step-by-step explanation:

We are given that the alumni association conducted a survey to see if alumni were in favor of firing the coach.

A simple random sample of 100 alumni from the population of all living alumni was taken. Sixty-four of the alumni in the sample were in favor of firing the coach.

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SO, Null Hypothesis, H_0 : p = 0.50   {means that the majority of alumni are not in favor of firing the coach}

Alternate Hypothesis, H_A : p > 0.50   {means that the majority of alumni are in favor of firing the coach}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p  = sample proportion of the alumni in the sample who were in favor of firing the coach = \frac{64}{100} = 0.64

            n = sample of alumni = 100

So, <em><u>test statistics</u></em>  =  \frac{0.64-0.50}{{\sqrt{\frac{0.64(1-0.64)}{100} } } } }

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Therefore, the P-value for this hypothesis test is 0.00175.

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