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Marina CMI [18]

3 years ago

14

Please help Write an inequality for the given graph

1 answer:

Oduvanchick [21]3 years ago

8 0

Answer:

y < 1/2x - 3

Step-by-step explanation:

You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.

This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.

y < 1/2x - 3 y > 1/2x - 3

0 < 1/2(0) - 3 0 > 1/2(0) - 3

0 < -3 0 > -3

The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.

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3 years ago

To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p

Over [174]

Answer:

The minimum sample needed to provide a margin of error of 3 or less is 52.

Step-by-step explanation:

The confidence interval for population mean (<em>μ</em>) is:

$\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

<u>Given:</u>

MOE = 3

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**Use the <em>z</em>-table for critical values.

Compute the sample size (<em>n</em>) as follows:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52$

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

7 0

3 years ago

A circular mirror is surrounded by a square metal frame. The radius mirror is 6x the side length of the medal frame is 18x. What

wolverine [178]

Answer:

Step-by-step explanation:

Given:

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Length of metal frame, l = 18x

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Area of square = 18x × 18x

= 324 x^2.

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= 36π x^2.

The expression for the area of the frame is subtracting the mirror from the metal frame = As - Ac

= 324x^2 - 36πx^2

= 36x2 (9 - π).

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3 years ago

Read 2 more answers

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Verdich [7]

Its C if m is 6 then the answer is C

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3 years ago

The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin

atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

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We have to find here the probability that in randomly selected year the number of lightning strikes is 0

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Hence probability that X=0 is given by

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3 years ago