A. Write an equation for the sentence. Six times a number n is 132

Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level. sim

charle [14.2K]

Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level.

Given expression is $6n^3$ . the given expression is for the nth level.

To simplify the expression for the $n^2$ level, we plug in $n^2$ in the place of 'n' in the given expression

$6n^3$

$6(n^2)^3$ (multiply the exponents)

$6n^6$

5 0

3 years ago

Read 2 more answers

Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

DedPeter [7]

Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

And replacing we got:

$ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392$

Now we have everything in order to replace into formula (1):

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

7 0

3 years ago

Given a/b=x+5, solve for B

anygoal [31]

Answer:

Refer the attachment for the answer

Hope it helps

Please mark me as the brainliest

Thank you

7 0

3 years ago

What are the values of x and y given that ABCD ≅ EFGH?

Margarita [4]

Answer:

x = 7

y = 8

Step-by-step explanation:

Since the shapes are similar then <B = <F and <A = <E

<B = <F so

10x + 65 = 135 subtract 65 from both sides

10x = 70 divide both sides by 10

x = 7

<A = <E so

4y - 4 = 28 add 4 to both sides

4y = 32 divide both sides by 4

y = 8

7 0

3 years ago

Please help !!! How many centimeters

solmaris [256]

First you take the area,

4 x 2 = 8 cm

Then you take 72 cm and divide it by 8 cm to get your length

So the answer for the length is 9 cm

5 0

3 years ago

A. Write an equation for the sentence. Six times a number n is 132​

A. Write an equation for the sentence. Six times a number n is 132