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In-s [12.5K]
3 years ago
10

Write an equation for a line that is parallel to the graph of y=-3x+6 and passes through the point at (-4,7)

Mathematics
1 answer:
Makovka662 [10]3 years ago
3 0
Parelell lines have the same slope
y=mx+b
m=slope
given
y=-3x+6
slope is -3

so
y=-3x+b is our equation
find b
use (-4,7)
x=-4 and y=7

7=-3(-4)+b
7=12+b
-5=b

y=-3x-5 is da equation
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Error Analysis jessie incorrectly said the rate 1/5 hour 1/10 acer can be written as the unit rate 1/50 per acer . What is the c
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8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators
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Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is <em>n</em> = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55

Construct a 95% confidence interval estimate for the population mean force as follows:

CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}

    =1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)

Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).

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