All categories

2 years ago

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

Mathematics

2 answers:

ad-work [718]2 years ago

7 0

Answer:

Option (b) is correct.

Step-by-step explanation:

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

We have to write it mathematically and choose the correct options out of given options.

Consider the given expression "four times the square of a number is thirty-six"

Then

let the number be x ,

Then four times the square of a number written mathematically as

And given "four times the square of a number is thirty-six" written mathematically as

Therefore, "four times the square of a number is thirty-six" written mathematically as

Lapatulllka [165]2 years ago

6 0

Answer:

Option (b) is correct.

$4x^2=36$

Step-by-step explanation:

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

We have to write it mathematically and choose the correct options out of given options.

Consider the given expression "four times the square of a number is thirty-six"

Then

let the number be x ,

Then four times the square of a number written mathematically as $4x^2$

And given "four times the square of a number is thirty-six" written mathematically as $4x^2=36$

Therefore, "four times the square of a number is thirty-six" written mathematically as $4x^2=36$

Option (b) is correct.

You might be interested in

Marie and fe work in a flower shop 6 hours on weekend to add their daily allowance in school. They spends 2 1/3 hours for making

Shkiper50 [21]

Answer:

2 1/6 hours

Step-by-step explanation:

2 1/3 + 1 1/2 + x = 6

convert all mixed numbers to improper fractions

7/3 + 3/2 + x = 6/1

change all numbers to have a common denominator

14/6 + 9/6 + x = 36/6

combine like terms

23/6 + x = 36/6

subtract 23/6 from both sides

x = 13/6

convert improper fraction to mixed number

2 1/6

7 0

3 years ago

Which table represents a linear function? (Will give brainliest)

34kurt

Only this function is lineer.
Because it is arithmetic.

6 0

3 years ago

Read 2 more answers

0.0215 has ____ significant figures

shepuryov [24]

Answer:

has 3 significant figures

Step-by-step explanation:

because zeros are counted if they are between the numbers

7 0

2 years ago

Read 2 more answers

Forks come in packages of 10 and spoons come in packages of 8.jayrod wants to have the same number of forks and spoons and does

uysha [10]

5 packages of spoons and and 4 packages of forks

7 0

2 years ago

AT&T would like to test the hypothesis that the proportion of 18- to 34-year-old Americans that own a cell phone is less tha

Vera_Pavlovna [14]

Answer:

The null and alternative hypothesis can be written as:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0$

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

This claim will be reflected in the alternnative hypothesis, that will state that the population proportion 1 (18 to 34) is significantly smaller than the population proportion 2 (35 to 49).

On the contrary, the null hypothesis will state that the population proportion 1 is ot significantly smaller than the population proportion 2.

Then, the null and alternative hypothesis can be written as:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0$

The significance level is assumed to be 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.63.

$p_1=X_1/n_1=126/200=0.63$

The sample 2, of size n2=175 has a proportion of p2=0.68.

$p_2=X_2/n_2=119/175=0.68$

The difference between proportions is (p1-p2)=-0.05.

$p_d=p_1-p_2=0.63-0.68=-0.05$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{126+119}{200+175}=\dfrac{245}{375}=0.653$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.653*0.347}{200}+\dfrac{0.653*0.347}{175}}\\\\\\s_{p1-p2}=\sqrt{0.001132+0.001294}=\sqrt{0.002427}=0.049$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.05-0}{0.049}=\dfrac{-0.05}{0.049}=-1.01$

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

$\text{P-value}=P(z$

As the P-value (0.1554) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

5 0

3 years ago