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3 years ago

Find the value of x.

Mathematics

1 answer:

Ann [662]3 years ago

7 0

Answer:

d. $8\sqrt{2}$

Step-by-step explanation:

This is a 45-45-90 right triangle with a Pythagorean triple of (x, x, x√2). Because this is a 45-45-90, both legs have the same measure, namely 8. Therefore, according to the Pythagorean triple, x = 8 (NOT the x in your diagram...the x in the Pythagorean triple). That means that the hypotenuse has a measure of $8\sqrt{2}$ , which is d.

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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts

Hunter-Best [27]

Answer:

The value of the test statistic is $t = 2.1$

Step-by-step explanation:

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the expected value, $\sigma$ is the standard deviation and n is the size of the sample.

The level of ozone normally found is 7.5 parts/million (ppm).

This means that $\mu = 7.5$

The mean of 24 samples is 7.8 ppm with a standard deviation of 0.7.

This means that $X = 7.8, \sigma = 0.7, n = 24$

Test Statistic:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{7.8 - 7.5}{\frac{0.7}{\sqrt{24}}}$

$t = 2.1$

The value of the test statistic is $t = 2.1$

7 0

3 years ago

Name

Anvisha [2.4K]

Answer:

4x+8

6x-8

$48x^2+30x-4$

Step-by-step explanation:

a) 4(x + 2)=4x+8

b) 2(3x - 4) =6x-8

c) 4(3 - 6x) 2x + 18-2(2 – 3x)

$=(12-24x)2x-4+6x$

$=24x-48x^2-4+6x$

$=-48x^2+30x-4$

4 0

3 years ago

A group of friends were working on a student film. They spent $476 on equipment, which was 85% of their total budget. What was t

xenn [34]

By by by the answer is 560

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3 years ago

The graph of a function f(x) passes through the following points:

Alex

The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)

Let

f(x) = ax² + bx + c

Plug x = 0, and y = 2

c = 2 ...(1)

Plug x = 1 and y = 0

a + b + c = 0 ..(2)

Plug x = -1 and y = 0

a - b + c = 0 ...(3)