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3 years ago

Find the Mean Absolute Deviation. (71, 80, 63, 91, 77, 85)

Mathematics

1 answer:

Finger [1]3 years ago

3 0

Answer:

7.5

Step-by-step explanation:

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The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise al

matrenka [14]

Answer:

The coefficient of variation after the tax is imposed is 0.033

Step-by-step explanation:

Given

$\mu =1000$ --- mean

$\sigma^2 = 1200$ --- variance

$tax = 10\%$

Required

The coefficient of variation

The coefficient of variation is calculated using:

$CV = \frac{\sqrt{\sigma^2}}{\mu}$

After the tax, the new mean is:

$\mu_{new} = \mu * (1 + tax)$

$\mu_{new} = 1000 * (1 + 10\%)$

$\mu_{new} = 1100$

And the new variance is:

$\sigma^2_{new} = \sigma^2 * (1 + tax)$

$\sigma^2_{new} = 1200 * (1 + 10\%)$

$\sigma^2_{new} = 1320$

So, we have:

$CV = \frac{\sqrt{\sigma^2}}{\mu}$

$CV = \frac{\sqrt{1320}}{1100}$

$CV = \frac{36.33}{1100}$

$CV = 0.033$

6 0

3 years ago

Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

jeyben [28]

f(0) = 2(3)(0) = 0 ⇒ (0, 0)

f(1) = 2(3)(1) = 6 ⇒ (1, 6)

rate of change from x = 0 to x = 1

$\frac{y2 - y1}{x2 - x1}$ = $\frac{6 - 0}{1 - 0}$ = $\frac{6}{1}$ = 6

******************************************

f(2) = 2(3)(2) = 12 ⇒ (2, 12)

f(3) = 2(3)(3) = 18 ⇒ (3, 18)

rate of change from x = 2 to x = 3

$\frac{y2 - y1}{x2 - x1}$ = $\frac{18 - 12}{3 - 2}$ = $\frac{6}{1}$ = 6

*****************************************

Since it is the same line, they will have the same slope (aka rate of change).

5 0

3 years ago

Sean and his cousin are playing a game where they pick up colored sticks. Sean currently has 50 points and likes to pick up the

Aleonysh [2.5K]

Answer:

It would take 5 turns

Step-by-step explanation:

6 0

3 years ago

Write an equation that represents the line. Use exact numbers

aev [14]

Answer:

y= 2/3x + 1.25

Step-by-step explanation:

I can't see the exact number but it's probably 1.25. Sorry if it's wrong :)

5 0

3 years ago

Mathematics in the london eye answers

san4es73 [151]

CENTRAL ANGLE:
There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle.

The full circle in degrees is 360°, but you want radians. 
The full circle in radians is 2π. 
2π / 32 
= π/16 radians

ARC LENGTH 
The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32.

AREA OF SECTOR: 
Ditto on this. You have the full area from a prior question. Now just divide it by 32

6 0

4 years ago