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Andrej [43]
3 years ago
14

A square with the side length s has an area of 324 square centimeters. This equation shows the area of the square. x^{2} =324 Wh

at is the side length of the square in centimeters?
Mathematics
1 answer:
wariber [46]3 years ago
4 0
The previous person was incorrect because if you check it (the area equals the length times the width), 81 times 81 is not 324, it is 6561. You actually have to find the square root of 324 which is 18. And to check it 18 times 18 is 324.
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A random sample of 87 eighth grade students’ scores on a national mathematics assessment
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There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

<h3>What is a statistical hypothesis?</h3>

A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:

The null hypothesis:

\mathbf{H_o \leq 283}

The alternative hypothesis:

\mathbf{H_i > 283}

From the population deviation, the Z test for the true mean can be computed as:

\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}

\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}

Z = 0.756

Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:

P(z > 0.756)

P = 0.225

Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

Learn more about hypothesis testing here:
brainly.com/question/16251072

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A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
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Answer:

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Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}

Therefore, the slope (<em>m </em>) = 10/9.

Next, the <u>y-intercept</u> is the point on the graph where it crosses the y-axis, and has the coordinates, (0, <em>b </em>). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

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