Translate and solve the algebraic statement for the given number below:

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

carlos can write 3 to 4 pages in his journal in 2/3 hour. if he writes for 5 hours, what's a reasonable number of pages he can w

zheka24 [161]

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

$\frac{5}{\frac{2}{3}}=7.5$

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

8 0

3 years ago

Find the value of x, rounded to the nearest tenth?

Stolb23 [73]

Answer:

Step-by-step explanation:

we can use the trigonometric function in a right triangle

cos x = adjacent side to the angle /hypothenuse

cos 36°= x/10 ; multiply both sides by 10

10 * cos 36° = x ; make sure your calculator mode is in degrees

8.1 = x

4 0

3 years ago

3 is 15% of what number

vazorg [7]

Use the rule of 3 simple

x mean 100%
3 mean 15%
-------------------
x = 3*100/15 = 300/15 = 20

hope this will help you

6 0

3 years ago

Read 2 more answers

explain why multiplying the numerator and denominator of a fraction by the same number results in an equivalent fraction

Tomtit [17]

Think: You're treating the numerator and the denom. in precisely the same way. In doing so you are NOT changing the value of the fraction, only the appearance.

Example: start with 2/3. Mult num. and den. both by 7: 14/21.

2/3 and 14/21 result in precisely the same decimal fraction, showing that the latter set of fractions is equivalent to the former set.

8 0

4 years ago