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3 years ago

What is the variance of the data set? 8, 9, 10, 16, 17

1 answer:

6 0

Mean = (8 + 9 + 10 + 16 + 17) / 5 = 60/5 = 12.

x - mean:

8 - 12 = -4, -4² = 16

9 - 12 = -3, -3² = 9

10 - 12 = -2, -2² = 4

16- 12 = 4, 4² = 16

17- 12 = -5, -5² = 25

Sum of the squares = 16 + 9 + 4 + 16 +25 = 70

Variance = 70/5 = 14

Variance = 14

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A central angle of a circle measures 1.5 radians. If the radius of the circle is 3 cm, what is the area of the related sector?

soldi70 [24.7K]

Answer:

Option B. $6.75\ cm^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=3\ cm$

substitute

$A=\pi (3^{2})=9 \pi\ cm^{2}$

Remember that

$2\pi$ radians subtends the complete circle of area $9 \pi\ cm^{2}$

by proportion

Find the area of the related sector for a central angle of $1.5$ radians

Let

x------> the area of the related sector

$\frac{9 \pi}{2\pi}\frac{cm^{2}}{radians} =\frac{x}{1.5}\frac{cm^{2}}{radians}\\ \\x=9*1.5/2\\ \\x= 6.75\ cm^{2}$

7 0

3 years ago

David plants a tree that is 3 feet tall. at the end of the 4 years it has grown to be 6 feet tall, and then stops growing. after

Andrews [41]

I honestly have no clue but h(x)=g(x+2)-1

I just need points sry

5 0

3 years ago

.54545454 as a fraction

defon

The answer as a fraction is 6/11

4 0

3 years ago

Someone help me with 1&2?

g100num [7]

1. 60 because 5 x 12 = 60

2. 84 is the next one because 14 x 6 = 84

(if number two is wrong forgive me)

7 0

3 years ago

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

Vlad [161]

The simultaneous equations are
2x - 7y = 4 (1)
3x + y = -17 (2)

Write (2) as
y = - 3x - 17 (3)

Substitute (3) into (1).
2x - 7(-3x - 17) = 4
2x + 21x + 119 = 4
23x = -115
x = -5
This is the equation obtained after substituting y from the second equation into the first equation.
The solution for y is
y = -3(-5) - 17 = -2

Answer: x = -5

Note: The solution is x = -5, y = -2.

4 0

3 years ago