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3 years ago

Evaluate each value expression for the given value of the variable : 5y- 8 when y=3

Mathematics

2 answers:

Oduvanchick [21]3 years ago

5 0

The answer is 7
5(3)-8
15-8
=7

Lerok [7]3 years ago

5 0

This equation will Equal to 7

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The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t

WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

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

$-1.475 = \frac{15.5 - \mu}{\sigma}$

$15.5 - \mu = -1.475\sigma$

$\mu = 15.5 + 1.475\sigma$

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

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

$1.28 = \frac{16.3 - \mu}{\sigma}$

$16.3 - \mu = 1.28\sigma$

$\mu = 16.3 – 1.28\sigma$

From above

$\mu = 15.5 + 1.475\sigma$

$15.5 + 1.475\sigma = 16.3 – 1.28\sigma$

$2.755\sigma = 0.8$

$\sigma = \frac{0.8}{2.755}$

$\sigma = 0.29$

The mean is

$\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93$

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

6 0

3 years ago

A farmer has a square garden that has an area of 100 feet squared. He needs to

stellarik [79]

Answer:

40ft

Step-by-step explanation:

The shape of the garden (square) tells you that both the length and the width of the garden are the same measure.

If the area is 100sqft, you can determine that side * side = 100. To find this answer, you can take the square root of 100. side=10, because 10 * 10= 100 (the area).

Now, we know that each side measures 10 feet. Try drawing and labeling a picture to help you visualize the garden. Next, label each side of the square garden 10ft. To find the feet of fencing is needed to enclose the garden,

We need to find the perimeter, so we can calculate

10ft * 4 sides = 40 feet of fencing.

5 0

3 years ago

The length of a rectangle is three times its width. The perimeter of the rectangle is at most 112cm. Which inequality models the

miss Akunina [59]

Answer: w ≤ 14 cm , L ≤ 42 cm

<u>Step-by-step explanation:</u>

width (w): w

Length(L): 3w

Perimeter (P) = 2w + 2L

P ≤ 112

2w + 2L ≤ 112

2(w) + 2(3w) ≤ 112

2w + 6w ≤ 112

8w ≤ 112

w ≤ 14

8 0

3 years ago

A square name tag has sides that are 5 centimeters long. What is the name tag's area?

katen-ka-za [31]

Answer:

Step-by-step explanation:

To get the area you multiply length and width. The length and width are both 5. 5 times 5 equals 25.

Hope this helped!

6 0

3 years ago

A music store buys instruments and then sells them for 30% more than they paid.

seropon [69]

Answer:135.2

Step-by-step explanation:

5 0

3 years ago

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