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3 years ago

4. Find x. Then find each indicated measure.

Mathematics

1 answer:

Zigmanuir [339]3 years ago

3 0

Answer:

$x=4\\\\EG=9\\\\ED=18$

Step-by-step explanation:

$\dfrac{x+5+9}{x+5}=\dfrac{12}{6}\\\\\dfrac{x+14}{x+5}=2\\\\x+14=2(x+5)\\\\x+14=2x+10\\\\14-10=2x-x\\\\x=4\\\\EG=4+5=9\\\\ED=9+9=18$

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The following data give the prices of seven textbooks randomly selected from a university bookstore.

swat32

Answer:

a) Mean = $121

Sum of deviations = $0

b) Standard deviation = 41.19

Variance = 1696.67

Range = $120

Step-by-step explanation:

We are given the following data:

$91 , $176 , $108 , $115 , $56 , $157 , $144

a) Mean and sum of deviations

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{847}{7} = 121$

Sum of deviations =

-30 + 55 - 13 - 6 - 65 + 36 + 23 = 0

The sum of deviations is zero dollars.

b) range, variance, and standard deviation

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of square of differences =

900 + 3025 + 169 + 36 + 4225 + 1296 + 529 = 10180

$\sigma = \sqrt{\dfrac{10180}{6}} = 41.19\\\\\sigma^2 = 1696.67$

Sorted data: 56, 91, 108, 115, 144, 157, 176

Range = Maximum - Minimum

Range = 176 - 56 = 120

5 0

3 years ago

How to solve 2/10b=99

soldier1979 [14.2K]

Multiply both sides by 10.
2b=990
divide both sides by 2
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3 years ago

**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?

Alborosie

We analyze the linear function to find that it has equation $y=x$ . Drawing the line, we find that it will intersect the circle at negative and positive x-coordinates.

We can prove this by substituting $y=x$ into the given equation:

$x^2+x^2=36$

$2x^2=36$

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Hence, $x = 3\sqrt{2}$ or $-\sqrt{2}$ , so there are both positive and negative values for $x$ .

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3 years ago

Which expression represents how many years are in X months

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Answer:

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Step-by-step explanation:

2year = 2(X)

so you know one year 12 months you can put 12 on the x value

2 years = 2(12)

2 years = 24 months

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2 years ago

Which statement is true about the function shown in the graph?

lutik1710 [3]

Answer:

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2 years ago