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ryzh [129]
3 years ago
9

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

Let us subtract 40 from both sides of equation.

20w+40-40=700-40

20w=660

Upon Dividing both sides of our equation by 20 we will get,

\frac{20w}{20}=\frac{660}{20}

w=\frac{660}{20}

w=33

Therefore, after 33 weeks Gina will have exactly $700 in her account, excluding interest.

6 0
4 years ago
Can anyone help me with this
marin [14]

Answer:

27

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help they’re 2 questions
IgorLugansk [536]

i think it’s is a for the first one

4 0
3 years ago
Solve the following system x=3 y=3x-1
astraxan [27]

Answer:

x = 3

y = 8

Step-by-step explanation:

Since it gives you x, you need to plug in the number given for it into the equation:

y = 3x - 1

y = 3(3) - 1

y = 9 - 1

y = 8

So now you have, x = 3 and y = 8

5 0
3 years ago
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