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Alex
2 years ago
9

3/4

Mathematics
1 answer:
Rudiy272 years ago
8 0

Answer:

1.25 serving(s)?

Step-by-step explanation:

3/4 is a serving yes?

if you add the 1/4, than you get a cup getting 1 1/4 a serving

i changed the 1/4 to .25 because it makes more sense

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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
A rectangular room has a perimeter of 70m and is 20m long write an equation to represent the area
ladessa [460]
70-40= 30
30/2 = 15
40/2= 20
15 x 20 = 300
5 0
3 years ago
Which number below best represents a depth of two meters below the ground?
Slav-nsk [51]

Answer:

-2

Step-by-step explanation:

We usually start measuring the height from the ground, so basically the positive direction is above the ground, for example  2 is the best number which represents 2m above the ground.

So the negative sign represents the depth below the ground.

7 0
1 year ago
Write the expression in standard form. five divided by quantity three minus fifteen i.
EleoNora [17]
Standard form is a+bi where a and b are real numbers
remeber that i²=-1

ok

\frac{5}{3-15i}
we got to get the i out of the denomenator
remember the differnce of 2 perfect squares where (a-b)(a+b)=a²-b²

so multiply the whole thing by \frac{3+15i}{3+15i}
we get
\frac{5(3+15i)}{3^2-(15i)^2}=\frac{15+75i}{9-225(-1)}=\frac{15+75i}{9+225}=\frac{15+75i}{234}=\frac{15}{234}+\frac{75i}{234}=\frac{15}{234}+\frac{75}{234}i=\frac{5}{78}+\frac{25}{78}i

in standard form, it is \frac{5}{78}+\frac{25}{78}i
5 0
3 years ago
Noor has 2 cups of hot chocolate in his thermos. He offers 3/8 cup servings of hot chocolate to some friends. What is the greate
mezya [45]
The greatest number of friends is 5. once he gives 5 friends, he'll have given away 15/8 cups. he has 2 (16/8) cups so he can't give any more.
6 0
3 years ago
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