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mariarad [96]
3 years ago
15

What is the cube root of -216?

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0
(-6)*(-6)*(-6)=-216.

Therefore, the cubed root of -216 is -6.
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Which expressions are equivalent to the one below? Check all that apply.
V125BC [204]

Answer:

Step-by-step explanation:

The given expression is 10x.

We have to check which of he given options on simplification gives the same given expression.

(A) The expression is:

=\frac{50x}{5x}

=10

which is not equivalent to the given expression, thus this option is incorrect.

(B) The expression is:

=10(10x)-1

=100x-1

which is not equivalent to the given expression, thus this option is incorrect.

(C) The expression is:

=10(10x)+1

=100x+1

which is not equivalent to the given expression, thus this option is incorrect.

(D) The expression is:

=\frac{50x}{5}

=10x

which is equivalent to the given expression, thus this option is correct.

(E) The expression is:

=(\frac{50}{5})x

==10x

which is equivalent to the given expression, thus this option is correct.

(F) The expression is:

=x^5

which is not equivalent to the given expression, thus this option is incorrect.

8 0
3 years ago
Read 2 more answers
A random sample of 20 items is selected from a population. When computing a confidence interval for the population mean, what nu
kumpel [21]

Answer:

For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

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

For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

8 0
3 years ago
(REPEATING DECIMALS) do part A and B please
sertanlavr [38]

Answer:

.2121/1000

Step-by-step explanation:

42

7 0
3 years ago
A teacher is making identical packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets she can ma
Natali [406]
92 crayons
23sheets of paper
92÷23=4
4 crayons per sheet
Answer is 23 packets
5 0
3 years ago
Read 2 more answers
Does the table below represent a proportional relationship?
Ad libitum [116K]

Answer:

C

Step-by-step explanation:

Here, we want to know if the table represents a proportional relationship

Looking at the table, if we multiply the x-terms by -4, we get the y-terms

So the answer here is that Yes, because all the ratios of y to x are equal to -4

6 0
2 years ago
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