What percent of 84 is 13?

Rashid is paid by the hour. He earned $50 for a 4-hour workday. How much does he earn for a 5 1/4-hour workday?

xeze [42]

ANSWER: $65.63

$50 divided by 4 hours = $12.50 per hour
1/4 can also be written as the fraction 0.25
So 5 1/4 hours is the same as 5.25 hours
$12.50 per hour x 5.25 hours = $65.625 rounded to the nearest cent = $65.63

5 0

3 years ago

Which expression is equivalent to 4(x+2)?

Alex73 [517]

Hello!

You can expand the 4

4x + 8

the answer is 4x + 8

Hope this helps!

5 0

3 years ago

true or false If x represents a random variable with mean 114 and standard deviation 40, then the standard deviation of the samp

Goshia [24]

Answer:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

Step-by-step explanation:

Let X the random variable of interest and we know that the true mean and deviation for this case are given by:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

6 0

3 years ago

Which expression is equivalent to (3-5x)(3+5x)

Levart [38]

I think the answer is 9-25x

5 0

3 years ago

The right cylinder in the diagram has a volume of 450 cm3. The other cylinder has a slant length of 10 cm, but the same base are

mezya [45]

A tilted or slanted cylinder has the same volume as its equivalent right cylinder, provided that
(a) the two bases of the tilted cylinder are parallel,
(b) the base areas of the tilted and right cylinders are equal,
(c) the vertical height of the right and tilted cylinders are equal.

This fact can be verified by slicing the tilted cylinder into thin, flat washers, as in integral calculus.

Because all 3 conditions are satisfied, the volume of the tilted cylinder is 450 cm³.

Answer: 430 cm³

5 0

3 years ago