2 years ago

Given a triangle with angles of 23°, 90°, 67°.

Mathematics

1 answer:

marishachu [46]2 years ago

8 0

The answer is that it's a right triangle. One angle is 90°

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The answer is B.4. It is 4 because you have to multiply -0.04 x 150 since the x after -0.04 represents miles driven which was 150 and then add 10 which then you get 4

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Find the standard deviation for a data set that has a variance of 82.81.

igomit [66]

Answer:

Standard Deviation = 9.1

(Please vote me Brainliest if this helped!)

Step-by-step explanation:

Standard deviation = square root of variance

= $\sqrt{82.81}$ = 9.1

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3 years ago

Find the population variance and standard deviation. 8â€‹, 17â€‹, 29â€‹, 35â€‹, 41 Choose the correct answer below. Fill in the

Nuetrik [128]

Answer:

(a) σ² = 144

(b) s² = 12

Step-by-step explanation:

(a) Population variance σ² = ∑(X - $\overline{X}$ )² / N

The arithmetic mean $\overline{X} = \frac{8 + 17 + 29 + 35 + 41}{5}$

$\overline{X} = \frac{130}{5}$

$\overline{X} = 26$

σ² = $\frac{(8 - 26)^{2} + (17 - 26)^{2} + (29 - 26)^{2} + (35 - 26)^{2} + (41 - 26)^{2}}{5}$

= $\frac{(- 18)^{2} + (- 9)^{2} + (3)^{2} + (9)^{2} + (15)^{2}}{5}$

= $\frac{324\ +\ 81\ +\ 9\ +\ 81\ +\ 225}{5}$

= $\frac{720}{4}$

σ² = 144

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$= \sqrt{144}$

= 12

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The answer is B.

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2 years ago