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2 years ago

Find the area of the shaded region.

Mathematics

2 answers:

bezimeni [28]2 years ago

8 0

let's simply get the area of the larger square, and then get the area of the smaller square and subtract the area of the smaller square from that of the larger square, what's leftover is the shaded region.

$\stackrel{\textit{area of the larger square}}{(4x-6)(4x-6)\implies \stackrel{F~O~I~L}{16x^2-48x+36}} ~\hfill \stackrel{\textit{area of the smaller square}}{(x)(x)\implies x^2} \\\\[-0.35em] ~\dotfill\\\\ (16x^2-48x+36)~~ - ~~(x^2)\implies 15x^2-48x+36 \\\\\\ 3(5x^2-16x+12) \implies 3(5x-6)(x-2)$

jolli1 [7]2 years ago

7 0

Answer:

15x-36

Step-by-step explanation:

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3 years ago

Realtor Elaine Snyderman took a random sample of 12 homes in a prestigious suburb of

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Using the t-distribution, it is found that since the p-value of the test is of 0.0044 < 0.05, it can be concluded that found the average appraised market value is less than $825,000.

The null hypothesis is:

$H_0: \mu = 825000$

The alternative hypothesis is:

$H_1: \mu < 825000$

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 780000, \mu = 825000, s = 49000, n = 12$ .

The value of the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{780000 - 825000}{\frac{49000}{\sqrt{12}}}$

$t = -3.18$

The p-value of the test is found using a left-tailed test, as we are testing if the mean is less than a value, with t = -3.18 and 12 - 1 = 11 df.

Using a t-distribution calculator, it is of 0.0044.

Since the p-value of the test is of 0.0044 < 0.05, it can be concluded that found the average appraised market value is less than $825,000.

A similar problem is given at brainly.com/question/25369247

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2 years ago

Pls help if you only know the answer thanks! :)

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Answer:

point c

Step-by-step explanation:

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3 years ago

Read 2 more answers

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3 years ago

1) Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plan

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Answer:

The radius of the base of the small cone is 3 feet

Step-by-step explanation:

The question requires the determination of the radius of the smaller cone

Therefore, height of the larger cone = 10 feet

Base diameter of the larger cone = 10 feet

Height of horizontal plane of small plane above base of larger cone = 4 feet

Hence the height of the small cone = 6 feet

Therefore, by similar triangles, and tangents we have;

$\frac{Height \, of \, small \, cone}{Height \, of \, larger\, cone} =\frac{Diameter \, of \, base \, of \, small \, cone}{Diameter \, of \, base \, of \, larger \ cone} =\frac{6}{10} = \frac{x}{10}$

Where:

x = The diameter of the base of the small cone

Therefore;

${x} = \frac{6}{10} \times 10 = 6 \, feet$

The radius of the base of the small cone = half the diameter of the base of the small cone

∴ The radius of the base of the small cone = (6 feet)/2 = 3 feet.

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3 years ago