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Tomtit [17]
3 years ago
15

‼️Name the vertex and sides of the angle below

Mathematics
1 answer:
mariarad [96]3 years ago
3 0
Vertex= D
Side=E
Side=F
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2 years ago
A Martian couple has children until they have 2 males (sexes of children are independent). Compute the expected number of childr
Ne4ueva [31]

Answer:

a) 6

b) 4

c) 3

Step-by-step explanation:

Let p be the probability of having a female Martian, and of course, 1-p the probability of having a male Martian.

To compute the expected total number of trials before 2 males are born, imagine an experiment simulating the fact that 2 males are born is performed n times.

Let ak be the number of trials performed until 2 males are born in experiment k. That is,

a1= number of trials performed until 2 males are born in experiment 1

a2= number of trials performed until 2 males are born in experiment 2

and so on.

If a1 + a2 + … + an = N

we would expect Np females.  

Since the experiment was performed n times, there 2n males (recall that the experiment stops when 2 males are born).

So we would expect 2n = N(1-p), or

N/n = 2/(1-p)

But N/n is the average number of trials per experiment, that is, the expectation.

<em>We have then that the expected number of trials before 2 males are born is 2/(1-p) where p is the probability of having a female. </em>

a)

Here we have the probability of having a male is half as likely as females. So

1-p = p/2 hence p=2/3

The expected number of trials would be

2/(1-2/3) = 2/(1/3) =6

This means <em>the couple would have 6 children</em>: 4 females (the first 4 trials) and 2 males (the last 2 trials).

b)

Here the probability of having a female = probability of having a male = 1/2

The expected number of trials would be

2/(1/2) = 4

This means<em> the couple would have 4 children</em>: 2 females (the first 2 trials) and 2 males (the last 2 trials).

c)

Here, 1-p = 2p so p=1/3

The expected number of trials would be

2/(1-1/3) = 2/(2/3) = 6/2 =3

This means<em> the couple would have 3 children</em>: 1 female (the first trial) and 2 males (the last 2 trials).

5 0
3 years ago
Could someone please help me solve this? Brainly if correct
Scorpion4ik [409]

You will need to deposit  $ 10,957 each year until retirement to achieve your retirement goals.

<h3>What is compound interest, and how does it work?</h3>

Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.

Principal(P)=$40,000

(Time period)T=25+15 = 40 year

R=8%

The final balance is $273,938.99 and the total compound interest is $233,938.99.

The amount he has to deposit each year is found as;

⇒$273,938.99/25

⇒ $ 10,957

Hence. you will need to deposit  $ 10,957 each year until retirement to achieve your retirement goals.

To learn more about compound interest, refer to brainly.com/question/14295570

#SPJ1

7 0
2 years ago
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