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2 years ago

Evaluate the expression using order of operations 8-3[{4+2}+6]=?

Mathematics

1 answer:

DENIUS [597]2 years ago

3 0

8- 3[{4+2}+6]
= 8 - 3[6+6]
= 8 - 3 (12)
= 8 - 36
= -28

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Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi

Leokris [45]

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

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

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

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

$s = \sqrt{\dfrac{875.5}{7}} = 11.18$

$\text{ Sample variance} = s^2 = 125.07$

Population:

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

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

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

$\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46$

$\text{ Population variance} = \sigma^2 = 109.44$

7 0

2 years ago

What can equal 628 by multiplying? These things can be soooo challenging these days.

myrzilka [38]

Answer:

314 * 2

Step-by-step explanation:

5 0

2 years ago

When mrs. myles gave a test, the scores were normally distributed with a mean of 72 and a standard deviation of 8. this means th

irina [24]

The empirical rule states that in a normal distribution,
68% of data is within 1 std deviation of the mean
95% of data is within 2 std deviation of the mean
99.7% of data is within 3 std deviation of the mean

In this case 95% of the cases would be within two std deviations of the mean
mean - 8 and mean + 8
72 - 8 = 64 and 72 + 8 = 80

then 95% of the scores are between 64% and 80% on the test.

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2 years ago

What is the interception point of y=-1/3x+1 and y=2/3x+4

Kazeer [188]

Answer:

(-3,2)

Step-by-step explanation:

For further questions or graphing questions I would recommend the website desmos graphing calculator it really helps !!

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2 years ago

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Which is the graph of the solution set of 5x + 8y > 50?