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The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 35 cubic i

Alla [95]

You first might want to divide 36 by 3, giving you 12. Multiply 12 by 5, which results in your answer of 60in^3. The equation for this is V = 1/3(blh)

6 0

3 years ago

How many gallons are in 8 1/4?

wlad13 [49]

The total number of gallons in 8.25 quartz is 2.0625 gallons

<h3>Conversion of gallons to quartz</h3>

According to the given question, we are to convert 8 1/4 quartz to gallons

According to the standard conversion

1 gallons = 4 quarts

x = 8.25 quartz

Take the ratio

1/x = 4/8.25
4x = 8.25

x = 8.25/4

x = 2.0625 gallons

Hence the total number of gallons in 8.25 quartz is 2.0625 gallons

Learn more on gallons to quartz here: brainly.com/question/898411

#SPJ1

7 0

2 years ago

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

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

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

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

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

8 0

3 years ago

AS a salesperson at trading cards unlimited Justin receives a monthly base pay plus commission on all that he sales. If he sales

Lelechka [254]

In this item, we will be able to form a system of linear equation which are shown below,
292 = 400x + y
407 = 900x + y
where x is the percent of the commission that he gets and y is the wage. The values of x and y from the equations are 0.23 and 200. This means that Justin earns a fixed wage of 200 per day and a commission which is equal to 23%.

Substituting the known values to the equation,
S = (0.23)(3200) + 200 = 936.

Therefore, Justin could have earned $936 had he sold $3,200 worth of merchandise.

5 0

3 years ago

Chang spent $16

alexandr1967 [171]

Answer:

76 percent

Step-by-step explanation:

8 0

3 years ago