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3 years ago

Can you please help me with this question

Mathematics

1 answer:

Reptile [31]3 years ago

3 0

Answer:

The answer is 384

A = 6 a^2 = 6 · 8^2 = 384

A = area

There are 6 sides to a cube, so you multiply the surface( 8 in ) squared by the sides.

In short, 8 · 8 (8^2) = 64

64 · 6 = 384

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A Pew Research Center report on gamers and gaming estimated that 49% of U.S. adults play video games on a computer, TV, game con

Veseljchak [2.6K]

Using the z-distribution, it is found that the 95% confidence interval for the proportion of all U.S. adults who play video games is (0.4681, 0.5119). It means that we are 95% sure that the true proportion of all U.S. adults who play video games is between 0.4681 and 0.5119.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have that:

95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

49% out of 2001 U.S. adults play video games, hence $\pi = 0.49, n = 2001$ .

The lower bound of the interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 - 1.96\sqrt{\frac{0.49(0.51)}{2001}} = 0.4681$

The upper bound of the interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.96\sqrt{\frac{0.49(0.51)}{2001}} = 0.5119$

The 95% confidence interval for the proportion of all U.S. adults who play video games is (0.4681, 0.5119). It means that we are 95% sure that the true proportion of all U.S. adults who play video games is between 0.4681 and 0.5119.

To learn more about the z-distribution, you can take a look at brainly.com/question/25730047

5 0

3 years ago

Where is the blue point on the number line

tia_tia [17]

Y=x blue point of a number line

7 0

3 years ago

Step by step workout of ; log x^3+log 5x=5 log 2-log 2/5

Charra [1.4K]

Answer:

x = 2

Step-by-step explanation:

$log \: {x}^{3} + log \: 5x = 5log \: 2 - log \: \frac{2}{5} \\ \\ \therefore \: log( {x}^{3} \times 5x) = log {2}^{5} - log \: \frac{2}{5} \\ \\ \therefore \: log( 5{x}^{4}) = log 32 - log \: \frac{2}{5} \\ \\ \therefore \: log( 5{x}^{4}) = log \bigg(32 \times \frac{5}{2} \bigg) \\ \\ \therefore \: log( 5{x}^{4}) = log \bigg(16 \times 5) \\ \\ \therefore \: 5{x}^{4}= 16 \times 5 \\ \\ \therefore \: {x}^{4}= {2}^{4} \\ \\ \huge \purple{ \boxed{\therefore \: {x} = 2}}$

4 0

3 years ago

Mary has $2,300. She has decided that she will withdraw a fixed whole-dollar amount of money every month of the year. The fixed

Brrunno [24]

Given : Mary has $2300

Given : Mary decides to withdraw a fixed amount of money every month of the Year.

I'm Solving this Question by Verification of the Given Options

Let us Assume, She Withdraws a fixed amount of $190 every Month

⇒ The Amount she has withdrawn in a year = (190 × 12) = $2280

⇒ The Amount left over will be : (2300 - 2280) = $20

But, we can see that there is no $20 among the 2nd Blank Options. So, This Fixed amount of money cannot be the Answer.

Let us Assume, She Withdraws a fixed amount of $181 every Month

⇒ The Amount she has withdrawn in a year = (181 × 12) = $2172

⇒ The Amount left over will be : (2300 - 2172) = $128

But, we can see that there is no $128 among the 2nd Blank Options. So, This Fixed amount of money cannot be the Answer.

Let us Assume, She Withdraws a fixed amount of $180 every Month

⇒ The Amount she has withdrawn in a year = (180 × 12) = $2160

⇒ The Amount left over will be : (2300 - 2160) = $140

But, we can see that there is no $140 among the 2nd Blank Options. So, This Fixed amount of money cannot be the Answer.

Let us Assume, She Withdraws a fixed amount of $191 every Month

⇒ The Amount she has withdrawn in a year = (191 × 12) = $2292

⇒ The Amount left over will be : (2300 - 2292) = $8

We can see that there is a $8 among the 2nd Blank Options. So, This Fixed amount of money is the Answer.

The Fixed whole-dollar amount of money she takes from her account every month is $191 and she'll have 8 left over.

First Blank : $191

Second Blank : $8

4 0

3 years ago

Pls help me i need to fill in the boxes that dont have anything in them but i aldo need to fill in the one that says "A="

yawa3891 [41]

Step-by-step explanation:

$\bf \red { Area: \; \boxed{ 24 } units^2}$

Formula of area of a parallelogram is :

Area of parallelogram = b × h

○ b denotes base

○ h denotes height

Here,

Base of the parallelogram is 6 units and height is 4 units.

→ Area of the parallelogram = 6 units × 4 units

→ Area of the parallelogram = 24 units²

$\therefore$ Area of the parallelogram is 24 units².

$\bf \purple { Perimeter: \; \boxed{ 22 } units}$

Perimeter of parallelogram = Sum of all sides

Since, opposite sides of a parallelogram are equal. So,

○ First side = 6 units

○ Second side = 5 units

○ Third side = 6 units

○ Fourth side = 5 units

→ Perimeter = ( 6 + 5 + 6 + 5 ) units

→ Perimeter = ( 12 + 10 ) units

→ Perimeter = 22 units

$\therefore$ Perimeter of the parallelogram is 22 units.

$\boxed{ \sf { AREA \; FORMULA }}$

$\boxed { \sf { A = Base \times Height }}$

7 0

3 years ago