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3 years ago

Which of the following represents "four times the square of a number is thirty-six"?

Mathematics

2 answers:

lara31 [8.8K]3 years ago

7 0

Answer:

Answer B ) 4 x² = 36 .

Step-by-step explanation:

Given : four times the square of a number is thirty-six".

To find : Which of the following represents the statement.

Solution : We have given four times the square of a number is thirty-six".

Let the number = x

According to question :

Square of the number = x².

4 times square of the number is 36

4 x² = 36 .

Therefore, Answer B ) 4 x² = 36 .

dusya [7]3 years ago

6 0

I would have to say b but not sure correct

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The average heights of a random sample of 400 people from a city is 1.75 m. It is known that the heights of the population are r

Dimas [21]

Answer:

The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So

$\sigma = \sqrt{0.16} = 0.4$

Then

$M = 1.96*\frac{0.4}{\sqrt{400}} = 0.0392$

The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m

The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m

The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.

4 0

3 years ago

What is this answer i didn’t go to school for it

Oksana_A [137]

Answer:

-2 -1,1, and 2 only

Step-by-step explanation:

6 0

2 years ago

Please ANswer ASAP & show all work. If you put an incomplete or absurd answer I WILL report you.

bogdanovich [222]

Answer:

1 ft²

Step-by-step explanation:

The scale factor = 1 : 20

<u>The area is the product of two dimensions, so the area of the model part to actual part is:</u>

1 ² : 20 ² =
1 : 400

<u>If the actual plane has wing area of 400 ft², then the model will have wing area:</u>

400 ft² / 400 = 1 ft²

7 0

2 years ago

There are 7 socks in a bag. 2 of those socks are blue.

Romashka [77]

Answer:

2/7 or about 28% depending on what type of answer your teacher is looking for

3 0

2 years ago

Choose the best answer:

Oksi-84 [34.3K]

Answer:

The length of the hypotenuse is 2 square root of 13 ⇒ c

Step-by-step explanation:

The rule of the area of the right triangle is A = $\frac{1}{2}$ × leg1 × leg2, where

leg1 and leg2 are the sides of the right angle

∵ The area of a right triangle is 12 in²

∵ The ratio of the length of its legs is 2: 3

→ Let leg1 = 2x and leg2 = 3x

∵ leg1 = 2x and leg2 = 3x

→ Substitute them in the rule of the area above

∴ 12 = $\frac{1}{2}$ × 2x × 3x

∵ 2x × 3x = 6x²

∴ 12 = $\frac{1}{2}$ × 6x²

∴ 12 = 3x²

→ Divide both sides by 3 to find x²

∴ 4 = x²

→ Take √ for both sides

∴ x = 2

→ Substitute x in the expressions of leg1 and leg2 to find them

∴ leg1 = 2(2) = 4 inches

∴ leg2 = 3(2) = 6 inches

∵ hypotenuse = $\sqrt{(leg1)^{2}+(leg2)^{2}}$

∴ hypotenuse = $\sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}$

∵ The simplest form of $\sqrt{52}$ = 2 $\sqrt{13}$

∴ The length of the hypotenuse = 2 $\sqrt{13}$ inches

3 0

2 years ago