There are 20 students in the drama club. Next year, 5

Mathematics

1 answer:

lakkis [162]3 years ago

7 0

Answer:

Step-by-step explanation:

Let d = number Of drama club members

let y = number of yearbook club members

now you can write two equations, one for the total number of students, and one for the difference between them.

d + y =64

d - y = 10

to solve for d, add these two lines together (so as to remove the y’s)

2d + 0y = 74

d = 37

now substitute back into one of the formulas

d+y=64

37+y=64

subtract 37 from each side,

y = 27

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DanielleElmas [232]

B d c is the answer if you look at the picture you will know which one is similar

8 0

3 years ago

According to a recent study, 1 in every 10 women has been a victim of domestic abuse at some point in her life. Suppose we have

vitfil [10]

Answer:

The probability that more than 22 of the women sampled have not been the victim of domestic abuse is P=0.537.

Step-by-step explanation:

This problem can be modeled by a binomial random variable.

The probability p can be calculated as the proportion of women that has not been a victim of domestic abuse at some point in her life:

$p=1-\dfrac{X}{n}=1-\dfrac{1}{10}=1-0.1=0.9$

The sample size is n=25.

We want to calculate the probability that more than 22 of the women of the sample have not been victim of domestic abuse.

The probability that exactly k women have not been victim of domestic abuse can be calculated as:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.9^{k} 0.1^{25-k}\\\\\\$

Then, the probability that more than 22 of the women sampled have not been the victim of domestic abuse is:

$P(x>22)=P(x=23)+P(x=24)+P(x=25)\\\\\\P(x=23) = \dbinom{25}{23} p^{23}(1-p)^{2}=300*0.089*0.01=0.266\\\\\\P(x=24) = \dbinom{25}{24} p^{24}(1-p)^{1}=25*0.08*0.1=0.199\\\\\\P(x=25) = \dbinom{25}{25} p^{25}(1-p)^{0}=1*0.072*1=0.072\\\\\\\\P(x>22)=0.266+0.199+0.072=0.537$