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3 years ago

6

Which are equivalent expressions to 4x+8 (select all that apply)

2 answers:

mojhsa [17]3 years ago

4 0

Lets say that x=2(doesn't actually equal 2 is just plugging in a random number to make it easier)

4x+8=4*2+8=16

A is incorrect 4(x+8)=4(2+8)=40

B is correct 4(x+2)=4(2+2)=16

C is correct (8x+16)/2=(8*2+16)/2=16

D is correct 8+4x=8+4*2=16

E is incorrect (8x+8)/2=(8*2+8)/2=12

So the correct answers are: B C D

Ksju [112]3 years ago

3 0

C, b, and d
....................................

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3 years ago

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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

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ollegr [7]

Answer:

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Step-by-step explanation:

the ratio of the triangle measurements are:

60/45=75/x

60x=3375

<u><em>x=56.25</em></u>, therefore the distance of the new bridge is 56.25

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3 years ago

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kobusy [5.1K]

Answer:

The answer is DF which is choice A.

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4 years ago

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EastWind [94]

Answer:

-4.5 kilometers.

Step-by-step explanation:

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3 years ago

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