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3 years ago

Find the measure of center: 9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

Mathematics

2 answers:

marin [14]3 years ago

7 0

Answer:

Mean : 16.75

Median: 15.5

Mode: 13

Step-by-step explanation:

Given/To Find:

Find the measure of center:

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

Solve:

Mean: Average

Formula: Adding all number in data then divide by the total number in data.

9 + 10 + 12 + 13 + 13 + 13 + 15 + 15 + 16 + 16 + 18 + 22 + 23 + 24 + 24 + 25 = 268

268/16 = 16.75

Median: Middle Number

Formula: Number in the middle

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

15 + 16 = 31

31/2 = 15.5

Mode: Most often number: 13

Kavinsky

arsen [322]3 years ago

5 0

Answer:

Mean : 16.75

Median: 15.5

Mode: 13

Step-by-step explanation:

Find the measure of center:

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

Find the measure of center:

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

Find the measure of center:

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

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vi is going in the positive direction (up). (That's my choice). a (acceleration) is going in the minus direction (down). The directions could be reversed.

Givens

vi = 160 ft/s

vf = 0 (the rocket stops at the maximum height.)

a = - 9.81 m/s

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Remark

YOu have 4 parameters between the givens and what you want to solve. Only 1 equation will relate those 4. Always always list your givens with these problems so you can pick the right equation.

Equation

a = (vf - vi)/t

Solve

- 32 = (0 - 160)/t Multiply both sides by t

-32 * t = - 160 Divide by -32

t = - 160/-32

t = 5

You will also need to solve for the height to answer part B

t = 5

vi = 160 m/s

a = - 32

d = ???

d = vi*t + 1/2 a t^2

d = 160*5 + 1/2 * - 32 * 5^2

d = 800 - 400

d = 400 feet

Part B

You are at the maximum height. vi is 0 this time because you are starting to descend.

vi = 0

a = 32 m/s^2

d = 400 feet

t = ??

formula

d = vi*t + 1/2 a t^2

400 = 0 + 1/2 * 32 * t^2

400 = 16 * t^2

400/16 = t^2

t^2 = 25

t = 5 sec

The free fall takes the same amount of time to come down as it did to go up. Sort of an amazing result.

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