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Bond [772]
3 years ago
11

Of all college degrees awarded in the United States, 50 % 50% are bachelor's degrees, 59 % 59% are earned by women, and 29 % 29%

are bachelor's degrees earned by women. Let P ( B ) P(B) represent the probability that a randomly selected college degree is a bachelor's degree, and let P ( W ) P(W) represent the probability that a randomly selected college degree was earned by a woman. What is the conditional probability that a degree is earned by a woman, given that the degree is a bachelor's degree? Please round your answer to the two decimal places.
Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Answer:

P(B|W)=0.5

Step-by-step explanation:

-Given that P(B)=0.5,P(B)=0.59 AND P(W)=0.29-Conditional probability is defined as the probability of one event occurring with relationship with one or more other events.

P(B|W)=\frac{P(W)\times P(B)}{P(W)}\\\\=\frac{0.50\times0.29}{0.29}\\\\=0.5

Hence, the conditional probability that a degree is earned by a woman, given that the degree is a bachelor's degree is 0.5

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A group of 52 people attend a ball game there were three times as many children as adults in the group set up a system of equati
xxTIMURxx [149]

Answer:

Therefore there total of 39 children presented in group of people who attended a ball game.

Step-by-step explanation:

Given:

Total people present=52 .

And there are 3 times children as adults

To Find:

No.of Children Present in Group.

Solution:

<em>Consider  'x'  be the children and 'y' be Adults presented in group.</em>

<em />

So there are total of 52 people.

Therefore Equation becomes,

x+y=52.

And also there  are 3 times children presented in group as adults were.

So

Children=3 times adults

i.e.x=3y

Using in above Equation we get ,

x+y=52

3y+y=52

4y=52

y=52/4

y=13

Hence there are 13 adults  presented in group

So ,

No.of Children=x=3y

=3(13)

=39

No.of.Children =39

4 0
3 years ago
Clarisa's annual gross pay as an account manager is $54,000. If the graduated state tax rate is 1% for the first $5,000 and 3% f
Hoochie [10]

Answer:

Total taxes = $1,520

Step-by-step explanation:

We have two separate calculations for the taxes:

The tax rate for the first $5,000 of Clarisa's gross pay is 1%, so the amount of tax paid in this case is

1% * 5000 = $50

The tax rate for the amount of value over $5,000 (that is, 54,000 - 5,000 = 49,000) is 3%, so the amount of tax is:

3% * 49,000 = $1,470

So, the total amount deducted for state taxes is:

Total taxes = 50 + 1470 = $1,520

4 0
3 years ago
A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin
Mrac [35]

Answer:

The margin of error M.O.E = 2.5%

Step-by-step explanation:

Given that;

The sample size = 1500

The sample proportion \hat p = 0.60

Confidencce interval = 0.95

The level of significance ∝ = 1 - C.I

= 1 - 0.95

= 0.05

The critical value:

Z_{\alpha/2} = Z_{0.05/2} \\ \\  Z_{0.025} = 1.96 (From the z tables)

The margin of error is calculated by using the formula:

M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}

M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}

M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}

M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}

M.O.E = 0.02479

M.O.E ≅ 0.025

The margin of error M.O.E = 2.5%

8 0
3 years ago
mariah owed her grandfather $2.25 but was only able to pay him back 1.50 , how much does mariah currently owe her grandfather
aleksandr82 [10.1K]

Answer:

0.75 cents

Step-by-step explanation:

You take...

$2.25 and subtract $1.50 to get 0.75 cents

In-depth...

Start off with taking a dollar away...

2.25 - 1.00 = 1.25

Then take off 0.50 cents...

We know that 0.50 cents are two 0.25 cents

So, we take off one 0.25 cent

1.25 - 25 = 1.00

Then the next 0.25 cents

*Remember: twenty-five (.25), fifty (.50), seventy-five (.75), a dollar (1.00)

<--- it is just adding 25 each time

If we subtract 0.25 cents from a dollar we get...

0.75 cents

3 0
3 years ago
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What is an out lire in math
lara31 [8.8K]
A value that "lies outside" (is much smaller or larger than)
3 0
3 years ago
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