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3 years ago

Find three consecutive intergers such that the sum of twice the smallest and 3 times the largest is 126

Mathematics

1 answer:

Firlakuza [10]3 years ago

5 0

Answer:Answer:

Step-by-step explanation:

Let's call the smallest integer

. Then the next two consecutive integers are

and

"Sum of twice the smallest and 3 times the largest is 126"

(

)

(

)

126

120

So the smallest integer is

The three consecutive integers are then:

, and

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Find the mean and standard deviation for the set of data.

dem82 [27]

The mean and standard deviation for the set of data will be 16 and 5.87. Then the correct option is A.

<h3>What is a standard deviation?</h3>

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The set of data is given below.

16, 22, 8, 5, 20, 18, 14, 17, 24

The mean of the data set will be

μ = (16 + 22 + 8 + 5 + 20 + 18 + 14 + 17 + 24) / 9

μ = 144 / 9

μ = 16

Then the standard deviation of the data set will be

$\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}} \\\sigma = \sqrt{\dfrac{(16 - 16)^2 +(22 - 16)^2 + (8-16)^2 + ......+(24-16)^2 }{9}} \\\sigma = \sqrt{\dfrac{310}{9}}\\$

Simplify the expression further, then we have

σ = √34.44

σ = 5.87

The mean and standard deviation for the set of data will be 16 and 5.87.

Then the correct option is A.

More about the standard deviation link is given below.

brainly.com/question/12402189

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1 year ago

100 points!!! Show your work on paper

lyudmila [28]

Answer:

10 cm, 15 cm

Step-by-step explanation:

Set ratios and solve for x

<u>Corresponding sides are AC with A'C' and CB with C'B'</u>

AC/A'C' = CB/C'B'
(x - 1)/2 = (x + 4)/3
3(x - 1) = 2(x + 4)
3x - 3 = 2x + 8
3x - 2x = 8 + 3
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<u>Find the values of AC and CB:</u>

AC = x - 1 = 11 - 1 = 10 cm
CB = x + 4 = 11 + 4 = 15 cm

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