Plz help due tonight

Mathematics

2 answers:

MariettaO [177]3 years ago

6 0

Sum of the interior angles of any triangle equal to 180 degrees thus :

60 + 70 + 8x + 2 = 180

8x + 132 = 180

Subtract both sides 132

8x + 132 - 132 = 180 - 132

8x = 48

Divide both sides by 8

8x ÷ 8 = 48 ÷ 8

denis23 [38]3 years ago

5 0

Answer:

I think I did this right x = 6

Step-by-step explanation:

Since all angles are supposed to add up to 180°, I just added 70° and 60° together to get 130°, and then subtracted it from 180° to get 50. Next I plugged it in to

8x + 2 = <u>50</u>, and from that I subtracted 2 on both sides to get 48 and then divided 8 on both sides, to get x by its self, and that leaves us with x = 6 because 48 ÷ 8 = 6.

I hope this helped :)

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gayaneshka [121]

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2 years ago

Help me find Sample variance and standard deviation

AnnZ [28]

First, find the mean. You'll need it to compute the variance.

$\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11$

The variance of the sample is then computed with the formula

$s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5$

The standard deviation is the square root of the variance, so

$s=\sqrt{35.5}\approx5.958$