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Travka [436]
3 years ago
7

Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.

Mathematics
1 answer:
Reil [10]3 years ago
3 0
If it's parallel to x - y = 7, that means the slope of that equation is the slope for the equation you're looking for. To get the slope, you need to put the given equation into slope intercept form, so move x to the other side. You should get: -y = 7 - x Then, to get the y positive, divide by -1: y = -7 + x Slope intercept form is as follows: y = mx + b, so whatever the number is in front of x is your slope. In this instance, your slope is 1. You now have your slope, and a point in which your new line passed through. Using slope intercept form, y = mx + b, if you substitute in what you know, you can find your answer. Right now you know y, m, and x, and you're looking for b. x=1; y=0; m=1. So, substituting, you'd get 0 = (1)(1) + b 0=1+b Solve You should get b= -1, leaving your final answer as y = x - 1
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<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

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Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
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Answer:

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Step-by-step explanation:

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=

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Simply your answer (6/10) to get 3/5

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Step-by-step explanation:

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