There are 40 female performers in a dance recital. The ratio of men to women is 3:5. How many men are in the dance recital?

Mathematics

1 answer:

Savatey [412]3 years ago

8 0

There are twenty-four [ 24 ] men

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A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year

alexdok [17]

Answer: 0.009

Step-by-step explanation:

Formula we use here : Binomial distribution formula

Probability of getting success sin x trial = $P(X)=^nC_xp^x(1-p)^{n-x}$ , where n is the sample size and p is the probability of success in each trial .

Given : A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.

i.e. p= 0.65

Sample size : n= 11

Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-

$P(X)=^{11}C_{11}(0.65)^{11}(1-0.65)^{11-11}\\\\=(1)(0.65)^{11}(1)\\\\=0.00875078317401\approx0.009$

Hence, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating = 0.009

8 0

3 years ago

Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. After how many w

ZanzabumX [31]

Answer:

After 33 weeks.

Step-by-step explanation:

Let w be number of weeks.

We have been given that Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. So the balance after w weeks will be 20w+40.

To figure out number of weeks Gina will have exactly $700 in her account, we will equate the balance after w weeks to 700.

$20w+40=700$