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dalvyx [7]
3 years ago
13

Write the equation of a line whose slope is 2/3 and crosses the y axis at (0, -5)

Mathematics
1 answer:
postnew [5]3 years ago
7 0

The equation of line with slope 2/3 and crosses the y axis at (0, -5) is:

y=\frac{2}{3}x-5

Step-by-step explanation:

We will use the slope intercept form of the equation to make an equation of the given line

The slope-intercept form is:

y=mx+b

Here m is the slope and b is the y-intercept

Given

m = 2/3

Putting the value of slope

y=\frac{2}{3}x+b

The y intercept is -5 so we will put in the equation

y=\frac{2}{3}x-5

The equation of line with slope 2/3 and crosses the y axis at (0, -5) is:

y=\frac{2}{3}x-5

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrainly

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A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. The number of subjects needed to estima
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Answer:

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So the answer for this case would be n=65 rounded up to the nearest integer

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Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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The confidence interval for the mean is given by the following formula:

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2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Assuming that the deviation is known we can express the margin of error is given by this formula:

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And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

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