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3 years ago

6

The birdwatching club has 27 members, 18 girls and 9 boys. What is the ratio of the girls to boys in the birdwatching club?

1 answer:

V125BC [204]3 years ago

6 0

<span>the ratio of the girls to boys in the bird-watching club is 18/9 = 2/1

answer
2/1</span>

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An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3, -2). Find the other endpoint.

Dimas [21]

Answer:

(-8,1)

Step-by-step explanation:

Using the equation for midpoints we can find:

$\frac{(5+y)}{2} =3, \frac{(4+x)}{2} =-2$

$y+5=6, 4+x=-4$

$y=1, x=-8$

sry it's backwards

(-8,1)

Hope this helps!

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3 years ago

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

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3 years ago

Find the slope and the y-intercept of the graph of the linear equation.<br> 0 = 1 - 2y + 14x

yarga [219]

The slope is 7 and the y intercept is (0,1/2):)

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3 years ago

From a set of 27 marbles, 4 white, 12 black, and 11 green, we choose one at random. What are the odds in favor of choosing a

garik1379 [7]

Answer:

4/27 chance of getting a white marble.

Step-by-step explanation:

There are 4 white marbles but there are 27 marbles in total. If you wanted a percentage, then divide 4 by 27 and place the decimal two places to the right once you founded your answer.

(sorry if it's a bad explanation)

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4 years ago

Tracy has 5 cans of vegetable juice in her refrigerator. Four of the cans each have 6 ounces of juice. Write an expression for t

mojhsa [17]

Answer:

4(6)+12=36

Step-by-step explanation:

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