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3 years ago

Equation of the line parallel to the equation y = -2x - 7 that passes through the point (3, 1).

Mathematics

2 answers:

-BARSIC- [3]3 years ago

6 0

$1=-2\cdot3+b\\
1=-6+b\\
b=7\\\\
y=-2x+7$

Vlada [557]3 years ago

3 0

$y=-2x-7\\\\equation\ of\ line\ parallel\ to \given \one\\\\y=ax+b\\\\If\ line\ is\ parallel\ a=-2\\\\y=-2x+b\\\\Substituting\ point\ (3,1)\\\\1=-2*3+b\\\\1=-6+b\\\\1+6=b\\\\b=7\\\\Equation\ of\ line\ y=-2x+7$

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san4es73 [151]

Answer:

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Step-by-step explanation:

The formula for calculating confidence interval is expressed as;

CI = xbar ± z×(s/√n)

Given

Mean (xbar) = $1264

z is the z score at 90% CI = 1.645

s is the standard deviation = $150

n is the sample size = 44

Substitute

CI = 1264±1.645(150/√44)

CI = 1264±1.645(150/6.63)

CI = 1264±1.645(22.624)

CI = 1264±37.22

CI = (1264-37.22, 1264+37.22)

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3 years ago

What’s the answer to 3\4(8x + 12) = 3

Artemon [7]

Answer:

x = - 1

Step-by-step explanation:

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3(8x + 12) = 12 ( divide both sides by 3 )

8x + 12 = 4 ( subtract 12 from both sides )

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2 years ago

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I do not know this answer

ch4aika [34]

Answer:

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Step-by-step explanation:

If you reflect it over the y-axis the first number will change to a positive and the second number will stay the same.

Hope this helps have a great day! :)

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3 years ago

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AveGali [126]

Answer:

Step-by-step explanation:

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schepotkina [342]

Answer:

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Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

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This is the pvalue of Z when X = 160. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{160 - 237}{54}$

$Z = -1.43$

$Z = -1.43$ has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

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3 years ago