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IrinaK [193]
3 years ago
15

The ordered pairs represent a function.

Mathematics
1 answer:
Goryan [66]3 years ago
6 0
(0,-1)(1,0)(2,3)(3,8)(4,15)
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A diver’s elevation is −30 feet relative to sea level. She dives down 12 feet. What is her elevation after the dive
nignag [31]
I think it is -42 Your welcome
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3 years ago
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You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1536cm3. Deter
Katen [24]

Answer:

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

Step-by-step explanation:

The volume of the box can be calculated with this formula:

The volume of the box = area of square base X height of the box.

We are given that the length of one side of the square base is = x cm, and its height is h cm.

Area of square base = x^{2}cm^{2}

The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.

In this case, the volume of the box will be x^{3}=1536cm^{3}

from this, x =3\sqrt{1536}= 11.53cm

There fore, the box has its length, height, and width all having the same values.

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

8 0
3 years ago
By what percent will a fraction decrease if its numerator is decreased by 85% and its denominator is decreased by 25%??
belka [17]

Answer:

106.67%

Step-by-step explanation:

85% as a fraction is 4/5

25% as a fraction is 3/4

<h2>\frac{4}{5}/\frac{3}{4}=\frac{16}{15} </h2>

Convert 16/15 to a decimal: 1.067

Multiply: 1.067 · 100= 106.67%

4 0
4 years ago
Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the
Reil [10]

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let <em>X</em> = diameter of bolts.

It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.

A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

Z\sim N(0, 1)

The formula to compute the <em>z</em>-score is:

z=\frac{x-\mu}{\sigma}

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.

Compute the <em>z</em>-score for this value as follows:

z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

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3 years ago
Based on the graph, what is the cyclist's speed in miles per
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The answer is a) 16mph
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