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Serjik [45]
3 years ago
15

What is the value of y for the line that has a slope of 1 and goes through the points (-4, y) and (-2, 8)?

Mathematics
1 answer:
Pavel [41]3 years ago
6 0

Answer:

y = 6

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (-4,y) and (-2,8). Substitute m = 1 and solve for y.

m = \frac{y_2-y_1}{x_2-x_1}\\\\ 1 = \frac{y-8}{-4--2}\\\\ 1 =\frac{y-8}{-2}\\\\-2=y-8\\\\6=y

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Explain how you can round 25.691 to the greatest place?
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Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar
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\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack

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