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boyakko [2]
3 years ago
5

In a certain​ country, the true probability of a baby being a boy is 0.524. Among the next five randomly selected births in the​

country, what is the probability that at least one of them is a girl​?
Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0

Answer:

The probability that at least one of them is a girl is 0.96049.

Step-by-step explanation:

In a certain​ country, the true probability of a baby being a boy is 0.524.

This is a binomial problem.

p(boy) = 0.524

n = 5

p(girl) = 1-0.524=0.476

P(at least one girl) = 1 - p(5 boys) =1-0.524^5 = 0.96049

Hence, the probability is 0.96049.

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A family has two children. When asked if he has at least one daughter named Ann, the fatherreplies, "Yes." What is the probabili
Leviafan [203]

Answer:

33.3% probability that both children are girls, if we know that the family has at least one daughter named Ann.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The family has two children.

The sample space, that is, the genders of the children may be divided in the following way, in which b means boy and g means girl.

b - b

b - g

g - b

g - g

We know that they have at least one girl. So the sample space is:

b - g

g - b

g - g

What is the probability that both children are girls, if we know that the family has at least one daughter named Ann?

Desired outcomes:

Both children being girls, so

g - g

1 desired outcome

Total outcomes

b - g

g - b

g - g

3 total outcomes

Probability

1/3 = 0.333

33.3% probability that both children are girls, if we know that the family has at least one daughter named Ann.

4 0
3 years ago
What is the probability of rolling a number less than or equal to 8 with two dice, given that at least one of the dice must show
jeka57 [31]
List you need to see how many of are less than of euqal to 8.
(6, 1)
(6, 2)
(6, 3)
(6, 4)
(6, 5),
6, 6)
(5, 6),
4, 6)
(3, 6)
(2, 6)
(1, 6<span>)
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7 0
3 years ago
Read 2 more answers
Solve the following:<br> a. 4x^2 + 5x + 3 = 2x^2 − 3x<br> b. c^2 − 14 = 5c
Jet001 [13]

Answer:

(a) x = -0.418 , -3.581

(B) c = 6.855, -1.855

Step-by-step explanation:

(A) We have given equation 4x^2+5x+3=2x^2-3x

2x^2+8x+3=0

On comparing with standard quadratic equation ax^2+bx+c

a = 2, b = 8 and c = 3

So roots of the equation will be x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4\times 2\times 3}}{2\times 2}=\frac{-8\pm 6.324}{4}=-0.418,-3.581

(b) c^2-14=5c

c^2-5c-14=0

a = 1, b = -5 and c= -14

So c=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-5)\pm \sqrt{(-5)^2-4\times 1\times (-14)}}{2\times 1}=\frac{5\pm 8.71}{2}=6.855,-1.855

7 0
3 years ago
Please look at the question in the picture it’s a statistics problem
Klio2033 [76]

B is the correct answer

5 0
3 years ago
A geometric sequence has an initial value of 2 and a common ratio of 3. Which formula would be more practical to use if you were
Makovka662 [10]

Answer:

19th term = ar^18

19th term = 774,840,978

Step-by-step explanation:

First term, a = 2

Common ratio, r = 3

nth term of a geometric sequence = ar^(n-1)

19th term = ar^(19-1)

19th term = ar^18

= 2 × 3^18

= 2 × 387,420,489

= 774,840,978

19th term = 774,840,978

8 0
3 years ago
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