3 years ago

Use the figure to complete each of the following. (Lesson 1-1)

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

3 0

Answer:

what figure I think there is more

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Find the standard deviation of 21, 31, 26, 24, 28, 26

Vesnalui [34]

Given the dataset

$x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}$

We start by computing the average:

$\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26$

We compute the difference bewteen each element and the average:

$x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}$

We square those differences:

$(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}$

And take the average of those squared differences: we sum them

$\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69$

And we divide by the number of elements:

$\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5$

Finally, we take the square root of this quantity and we have the standard deviation:

$\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39$

8 0

3 years ago

Someonepleasehelp me asap <br>evaluate (8)-2(15-8)

AnnZ [28]

Answer:

-6

Step-by-step explanation:

You have to multiple -2 by 15 and -8 separately

8 - 2(15-8)

8 -30 + 16

24-30 = -6

4 0

2 years ago

A circle has a diameter of 16 mm. How long is its radius?

konstantin123 [22]

Radius = half of diameter
16 mm/2 = 8 mm
Solution: 8 mm

8 0

2 years ago

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Which expression is equivalent to 1/2 (14x-2)-1/4(4x-24)?

kkurt [141]

1/2 (14x-2)-1/4(4x-24) = 6x + 5

6 0

3 years ago

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Please help I don’t understand

charle [14.2K]

Answer:

$\huge\boxed{\sf$

Step-by-step explanation:

Since AB is parallel to CD,

∠h = 80° (alternate angles)

$\rule[225]{225}{2}$

Hope this helped!

6 0

2 years ago

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