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3 years ago

8

Please please help me!!

1 answer:

Andrej [43]3 years ago

6 0

Answer:

336 cm²

Step-by-step explanation:

Given a dilatation by a factor of 2 then the area factor is 2² = 4

area of figure = 4 × 84 = 336 cm²

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Consider the following sets of sample data: A: $30,500, $27,500, $31,200, $24,000, $27,100, $28,600, $39,100, $36,900, $35,000,

Alecsey [184]

Answer:

$CV=0.2$ ---- dataset 1

$CV = 7.2$ --- dataset 2

Step-by-step explanation:

Given

$A: 30500, 27500, 31200, 24000, 27100,28600, 39100, 36900, 35000, 21400, 37900, 27900, 18700,$ $33100$

$B: 4.29, 4.88, 4.34, 4.17, 4.52, 4.80, 3.28, 3.79, 4.84, 4.77, 3.11$

Required

The coefficient of variation of each

<u>Dataset A</u>

Calculate the mean

$\mu = \frac{\sum x}{n}$

$\mu = \frac{30500+ 27500+31200+24000+ 27100+28600+ 39100+ 36900+ 35000+ 21400+ 37900+ 27900+ 18700+33100}{14}$ $\mu = \frac{418900}{14}$

$\mu = 29921.43$

Next, calculate the standard deviation using:

$\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}$

So, we have:

$\sigma= \sqrt{\frac{(30500 - 29921.43)^2 +.................+ (18700- 29921.43)^2 + (33100- 29921.43)^2}{13}}$

$\sigma= \sqrt{\frac{487723571.42857}{14}}$

$\sigma= \sqrt{34837397.959184}$

$\sigma= 5902.32$

So, the coefficient of variation is:

$CV=\frac{\sigma}{\mu}$

$CV=\frac{5902.32}{29921.43}$

$CV=0.2$ --- approximated

<u>Dataset B</u>

Calculate the mean

$\mu = \frac{\sum x}{n}$

$\mu = \frac{4.29+ 4.88+ 4.34+ 4.17+ 4.52+ 4.80+ 3.28+ 3.79+ 4.84+ 4.77+ 3.11}{11}$

$\mu = \frac{46.79}{11}$

$\mu = 4.25$

Next, calculate the standard deviation using:

$\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}$

$\sigma = \sqrt{\frac{(4.29 - 4.25)^2 + (4.88- 4.25)^2 +.........+ (3.11- 4.25)^2}{11}}$

$\sigma = \sqrt{\frac{3.859}{11}}$

$\sigma = \sqrt{0.35081818181}$

$\sigma = 0.593$

So, the coefficient of variation is:

$CV=\frac{\sigma}{\mu}$

$CV = \frac{4.25}{0.5903}$

$CV = 7.2$ -- approximated

3 0

3 years ago

What is the answer to 43.26 ÷ 14

slamgirl [31]

Answer:

3.09

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve for g.<br> 3g + 3 = 9<br> g=

RideAnS [48]

Answer:g=2

3g+3-3=9-3

3g=6

3g/3=6/3

g=2

Step-by-step explanation:

there you go

8 0

1 year ago

Read 2 more answers

Question 23 HELP ME PLEASE Write an equation in slope-intercept from for the parallel to y=3x-2 that passes through the point (5

madreJ [45]

Answer:

y = 3x - 17

Step-by-step explanation:

Parallel lines have the same slope so the equation would be y = 3x + b

plugging in the points you get -2 = 3(5) + b

this is -17 = b

7 0

3 years ago

What is the value of (5.3 times 10 Superscript 4 Baseline) (4.2 times 10 Superscript 3) in scientific notation?

katovenus [111]

Answer:

$2.226X 10^8$

Step-by-step explanation:

We are to determine the value of $(5.3 X 10^4) (4.2 X 10 ^ 3)$ in scientific notation.

Given:

$(5.3 X 10^4) (4.2 X 10 ^ 3)$

STEP 1: Remove the brackets.

$(5.3 X 10^4) (4.2 X 10 ^ 3)=5.3 X 10^4X4.2 X 10 ^ 3$

STEP 2: Separate the numbers and index of 10.

$=5.3 X4.2X 10^4 X 10 ^ 3$

STEP 3: Multiply the Numbers and Index of 10

$=22.26X 10^{4+3}$

STEP 4: Simplify and write in Scientific notation

$22.26=2.226X10\\Therefore:\\22.26X 10^{4+3}=2.226X10X 10^{4+3}=2.226X10X 10^7=2.226X 10^8$

Thus:

$(5.3 X 10^4) (4.2 X 10 ^ 3)=2.226X 10^8$ in scientific notation

6 0

3 years ago

Read 2 more answers