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3 years ago

Write an equation of a line in a slope-intercept form that passes through (-2,1) with a slope of 5.

1 answer:

8 0

If they give you a point and slope, use point slope form.
Then simplify to get slope intercept form (y = mx + b)
slope (m) = 5
(-2, 1)

y - y1 = m(x - x1)
y - 1 = 5(x + 2)
y - 1 = 5x + 10

y = 5x + 11

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The owner of a restaurant is reviewing customer complaints. In a random sample of 227 complaints, 57 complaints were about the s

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$0.1375$ to $0.3624$

Step-by-step explanation:

Given :The owner of a restaurant is reviewing customer complaints. In a random sample of 227 complaints, 57 complaints were about the slow speed of the service.

To Find :Create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service.

Solution:

n = 227

x = 57

Formula of confidence for proportion: $\widecap{p}-z_{\frac{\alpha}{2}}\sqrt{\frac{\widecap{p}\widecap{q}}{n}}$ to $\widecap{p}+z_{\frac{\alpha}{2}}\sqrt{\frac{\widecap{p}\widecap{q}}{n}}$

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$\widecap{q}=0.75$

z at 95% is 1.96

Substitute the values in the formula :

Confidence for proportion: $0.25-1.96\sqrt{\frac{0.25 \times 0.75}{57}}$ to $0.25+1.96\sqrt{\frac{0.25 \times 0.75}{57}}$

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3 years ago

Read 2 more answers

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