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4 years ago

-9×-(17-7×) combine like terms

1 answer:

8 0

Sure. So we have -9x, and then we can distribute the negative, just as we would do with a number. That gives us -9x-17-7x. We can combine the -9x and -7x to get -16x. Therefore, our answer is -16x-17. Hope this helped!

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PLEASE HELP!!! The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the vol

never [62]

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Formula :
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Volume = Length x Width x Height

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Find volume :
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$\text { Volume = } 4\dfrac{1}{4} \times 5 \times 2$

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Change to improper fractions :
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$\text { Volume = } \dfrac{17}{4} \times \dfrac{5}{1} \times \dfrac{2}{1}$

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Combine into single fraction :
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$\text { Volume = } \dfrac{170}{4}$

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Simplify:
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$\text { Volume = } 42 \dfrac{1}{2} \ cm^3$

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Answer: Volume = 42 1/2cm³ (Answer c)
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6 0

3 years ago

Read 2 more answers

In a poll, 1,004 adults in a certain country were asked whether they favor or oppose the use of "federal tax dollars to fund m

WARRIOR [948]

Answer:

The range of values likely to contain the true value of the population parameter is between 44% and 52%.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

These bounds are dependent of the sample mean and of the margin of error.

The lower bound is the sample mean subtracted by the margin of error, while the upper bound is the margin of error added to the sample mean.

The confidence interval is likely to contain the true value of the population parameter.

In this question:

Sample mean: 48%

Margin of error: 4%

48 - 4 = 44%

48 + 4 = 52%

The range of values likely to contain the true value of the population parameter is between 44% and 52%.

7 0

3 years ago

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

Arturiano [62]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

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".

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

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n 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)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

The margin of error is given by this formula:

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

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

4 0

3 years ago

Please help, I really need this

Nady [450]

9514 1404 393

Answer:

(a) -- the correct choice is highlighted

Step-by-step explanation:

The units of specific heat tell you what quantities make up the ratio.

$\dfrac{390\text{ J}}{1\text{ kg$\cdot^\circ$C}}=\dfrac{-12.0\text{ J}}{0.012\text{ kg}\cdot\Delta T}\\\\\Delta T=\dfrac{-12.0}{0.012\cdot390}\ ^\circ\text{C}\approx-2.56\text{ $^\circ$C}$

The temperature will decrease by 2.56 C.

4 0

3 years ago

Round 2.71828 to the hearest thousandth.

Colt1911 [192]

Answer:

2.718

Step-by-step explanation:

The thousandths place is 3 to the right of the decimal (the 8).

Since the next number is 2, the number stays the same and does not round up.

Hope this helps :)

4 0

3 years ago