Can someone help me?

Evaluate the expression described below if the number is 4. The difference between a number squared and the number. A. 0 B. 4 C.

svet-max [94.6K]

What the above statement is saying is:
If the number is 4, find the difference between the square of the number (the number is 4) and the number itself (the number is still 4).

The square of the number is:
The number^2
= 4^2
= 4 × 4
= 16

The difference between the square of the number and the number is:
The number^2 - The number
= 16 - 4
= 12

Hope this helps! :)

5 0

3 years ago

Which dimensions cannot create a triangle?

zavuch27 [327]

Angles that create a triangle always add up to 180.

To find sides that create triangles, we have to use the Triangle Inequality Theorem.
It's where side A + B will <em>always</em> be greater than side C
and B + C will always be greater than side A
<em>and</em> A + C will always be greater than side B.

So let's check all of these answers and pick the one that's incorrect.

A.
10 + 25 + 145 = 180?
Correct!

B.
9 + 15 > 9?
Correct!
15 + 9 > 9?
Correct!
9 + 9 > 15?
Correct!

C.
40 + 70 + 60 = 180?
Incorrect! 40 + 70 + 60 = 175 which is less than 180.

The answer is three angles measuring 40 m, 70 m, and 60 m.

Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)

7 0

3 years ago

Read 2 more answers

A number divided by three less two is at most two

Marina CMI [18]

x ≤ 12

Solution:

Let us take the number be x.

A number : x

A number divided by three : $$\frac{x}{3}$

A number divided by three less two : $$\frac{x}{3}-2$

A number divided by three less two is at most two : $$\frac{x}{3}-2\leq 2$

Now, simplify the inequality,

$$\Rightarrow\frac{x}{3}-2\leq 2$

Add 2 on both sides of the inequality,

$$\Rightarrow\frac{x}{3}-2+2\leq 2+2$

$$\Rightarrow\frac{x}{3}\leq 4$

Multiply by 3 on both sides of the equation,

$$\Rightarrow\frac{x}{3}\times3\leq 4\times3$

$$\Rightarrow x\leq 12$

Hence x ≤ 12.

5 0

4 years ago

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters

storchak [24]

Answer:

134.4 centimeters

Step-by-step explanation:

This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).

replace the values in the equation.

83²+x²=158²

get rid of the exponents.

6,889+ x² = 24,964.

subtract 6,889 from 24,964.

x²=18,075.

find the square root on both sides of the equation.

x=134.4432966.

I am assuming you want this rounded to the nearest tenth.

134.4 is your answer.

Read more on Brainly.com - brainly.com/question/14113423#readmore

8 0

3 years ago

The claim that 40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable j

Bad White [126]

Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

$H_0: p \geq 0.4$

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

$H_1: p < 0.4$

The test statistic is:

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

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

0.4 is tested at the null hypothesis:

This means that $\mu = 0.4, \sigma = \sqrt{0.4*0.6}$

74 out of the 200 workers sampled said they would return to work

This means that $n = 200, X = \frac{74}{200} = 0.37$

Value of the test statistic:

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

$z = \frac{0.37 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}$

$z = -0.87$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.

Looking at the z-table, z = -0.87 has a p-value of 0.1922.

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

7 0

3 years ago