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lara31 [8.8K]
3 years ago
6

The ratio of boys to girls in a room is 4:9. There are a total of 39 people in the room.

Mathematics
2 answers:
eduard3 years ago
8 0
27 girls and 12 boys, the answer above is correct:))
Mumz [18]3 years ago
4 0

12 boys and 27 girls

1) Add 4 to 9. 13

2) 39 divided by 13 is 3

3)Multiple 3 to 4 boys and 9 girls. 3x4 is 12 boys, 3x9 is 27 girls

Hope this helps!

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Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t
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Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875

8 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (-4, 5) and (-1, 1)
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Answer:

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Step-by-step explanation:

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75% of n is 45. n is what percent of 90?​
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Answer:

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Step-by-step explanation:

75 /100 = .75

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60 is n

60/90 = .666667

.666667 * 100 = 66.67%

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Answer:

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