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2 years ago

Find the volume of a CUBE if its side length is : x+2 in polynomial form

1 answer:

8 0

Volume = Length x Length x Length

Volume :

(x + 2) (x + 2) (x + 2)

= (x² + 4x + 4)(x + 2)

= x³ + 2x² + 4x² + 8x + 4x + 8

= x³ + 6x² + 12x + 8

Answer: x³ + 6x² + 12x + 8

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A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she

Nataly_w [17]

Answer:

The minimum sample size needed is $n = (\frac{1.96\sqrt{\sigma}}{4})^2$ . If n is a decimal number, it is rounded up to the next integer. $\sigma$ is the standard deviation of the population.

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:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error 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.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

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

$4 = 1.96\frac{\sigma}{\sqrt{n}}$

$4\sqrt{n} = 1.96\sqrt{\sigma}$

$\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2$

$n = (\frac{1.96\sqrt{\sigma}}{4})^2$

The minimum sample size needed is $n = (\frac{1.96\sqrt{\sigma}}{4})^2$ . If n is a decimal number, it is rounded up to the next integer. $\sigma$ is the standard deviation of the population.

4 0

2 years ago

Larquita is writing a book for her job, where she works the same number

ryzh [129]

so what u gotta do in this add and multiply everything up like monday she worked before and wor and during work, then tuesday she worked twice as much as monday then u gotta add and multiply everythin up, same thing all over again, then you get ur answer, nlow this app is too help you, i helped you, im not goona give ur answer, ur gonna give the answer to ur selfe, now i dont have time rn to answer it and if i did i would help you n answer but u gotta do ur work, have a great daay!

3 0

3 years ago

Tyler checked out two books from the school

kramer

Answer:

Step-by-step explanation:

224-146=78

3 0

1 year ago

Diego is thinking of two positive numbers. He says, 'If we triple the first number and double the second number, the sum is 34.'

UNO [17]

1st number: 0

2nd number: 17

Answer

Step-by-step explanation:

3x+2y=34 x is the first number, y is the second.

1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.

x+4y=68 solve for x.

x=68-4y add this into the first equation to solve for variable y.

3(68-4y)+2y=34 solve for y.

204-10y=34

-10y= -170

y=17

now to solve for x

x= 68-4(17)

x= 0

8 0

2 years ago

when you are dividing two decimals how can you check whether you have divided the decimals correctly?

Mice21 [21]

Dividing two decimals means that we need to make the following math operation:

$\frac{p}{q} \\ \\ where \ p \ and \ q \ are \ two \ decimals$

According to the following definition:

$If \ p \ and \ d \ are \ two \ real \ numbers \ (two \ decimals) \ it \ is \ true \ that:\\ \\ p=d\times q+r \\ \\ where:\\ \\ p:Dividend \\ d:Divisor \\q:Quotient \\ r:Reminder$

We can prove that our result is correct by multiplying the divisor by the quotient plus the reminder and verifying that this result matches the dividend. Also, we can use a calculator to prove that.

5 0

2 years ago

Read 2 more answers