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3 years ago

Anybody know the correct answer to this?

Mathematics

1 answer:

Digiron [165]3 years ago

4 0

$A=\{x|x=3n,\ n\in\{2,\ 3,\ 4\}\}=\{(3)(2),\ (3)(3),\ (3)(4)\}=\{6,\ 9,\ 12\}\\\\B=\{x|x=4m-3,\ m\in\{1,\ 2,\ 3\}\}\\=\{(4)(1)-3,\ (4)(2)-3,\ (4)(3)-3\}=\{1,\ 5,\ 9\}\\\\A\ \cap\ B=\{9\}$

Answer: 9

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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

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3 years ago