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Dvinal [7]
2 years ago
7

Are these angles supplementary or congruent,

Mathematics
1 answer:
rusak2 [61]2 years ago
6 0
They are supplementary
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A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the
Nana76 [90]

Answer:

a) There is a 15.3% probability that a randomly selected person in this country is 65 or older.

b) Given that a person in this country is uninsured, there is a 2.2% probability that the person is 65 or older.

Step-by-step explanation:

We have these following percentages:

5.3% of those under the age of 18, 12.6% of those ages 18–64, and 1.3% of those 65 and older do not have health insurance.

22.6% of people in the county are under age 18, and 62.1% are ages 18–64.

(a) What is the probability that a randomly selected person in this country is 65 or older?

22.6% are under 18

62.10% are 18-64

The rest are above 65

So

100% - (22.6% + 62.10%) = 15.3%

There is a 15.3% probability that a randomly selected person in this country is 65 or older.

b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older?

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So, what is the probability that a person is 65 and older, given that the person is uninsured.

P(B) is the probability that a person is 65 and older. From a), we have that P(B) = 0.153

P(A/B) is the probability is uninsured, given that that person is 65 and older. So P(A/B) = 0.013

P(A) is the probability that a person is uninsured. That is the sum of 5.3% of 22.6%, 12.6% of 62.1% and 1.3% of 15.3%. So:

P(A) = 0.053*(0.226) + 0.126*(0.621) + 0.013*(0.153) = 0.0922

So

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.153*0.013}{0.0922} = 0.022

Given that a person in this country is uninsured, there is a 2.2% probability that the person is 65 or older.

6 0
2 years ago
Five dozen cds were bought for $90 a peddlar sold them at 5 for $12 calculate his profit.
valina [46]
If 12 dozen were bought for $90 that means each CD was bought at the price of $0.66

If he sold all 60 of the CD's for 5 for $12, he'd make $144. 

Subtract the income by the original buying price to find his profit. $144 - $90

The peddler made $54 profit.
5 0
3 years ago
Read 2 more answers
18-23(if you want) I don’t understand what do, please help!
Tamiku [17]

Answer:

-22

Step-by-step explanation:

1.Factor out the negative sign.

2.Calculate (add for question 18)

3. Add the negative sign back.

Hope this helps :)

3 0
2 years ago
Read 2 more answers
In the diagram, ΔPMN ≅ ΔQSR<br><br> If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN
Tamiku [17]
PN=20
Because,/_\PMN_~/_\QSR
6 0
3 years ago
Read 2 more answers
Amanda's checking account balance was -$245. She deposited $60 three times. What is her current balance?
VLD [36.1K]

Answer:

Amanda currently has a balance of negative $65

Step-by-step explanation:

60×3=180

-245+180= -65

8 0
2 years ago
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