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2 years ago

If I you have to mix a gallon of liquid solution 3 parts water and 1 part alcohol, how much alcohol do you mix in?

Mathematics

2 answers:

Ivahew [28]2 years ago

5 0

1 quart alcohol and 3 quarts water

Veseljchak [2.6K]2 years ago

5 0

If the alcohol is absolute alcohol to make 1 gallon (4 quarts), then mix in 3 quarts water and 1 quart alcohol.

However, most of the time, alcohol comes in 96.5% alcohol, then we will define x=volume of alcohol in gal, then 1-x=volume of water, and solve following equation for x:
0.965x+(1-x)*0=0.25
x=0.25*0.965=0.259 gal
will need 0.259 gal of 96.5% alcohol and 0.741 gal. of water.

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Oksanka [162]

Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of $\mu = 441.84$ .

The standard deviation is of $\sigma = 120$ .

The lower bound of the top 30% is the 70th percentile, which is X when Z has a p-value of 0.7, so <u>X when Z = 0.84.</u>

$Z = \frac{X - \mu}{\sigma}$

$0.84 = \frac{X - 441.84}{120}$

$X - 441.84 = 0.84(120)$

$X = 542.64$

A production worker has to make $542.64 a week to be in the top 30% of wage earners.

You can learn more about the normal distribution at brainly.com/question/24663213

3 0

2 years ago

Geometry Need help/........

vekshin1

6 inches would be the answer

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3 years ago

The ratio of the perimeter of two similar polygons is 5:7. The area of the smaller polygon is 30 sq. cm. Find the area of the la

Debora [2.8K]

Answer:

42sq

Step-by-step explanation:

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30/5=6 sq for 1 of the ratio

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2 years ago

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KATRIN_1 [288]

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1 year ago