Please write out the problem on paper

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

3 years ago

If n = 8, evaluate 26 - 3 (n + 8) ÷ 4

sasho [114]

Answer:

14

Step-by-step explanation:

PLUG 8 in for n. Use the order of operations to evaluate. 26-3(8+8)/4=

becomes: 26-3(16)/4=; multiply 3 x 16 = 48, use order of operations to divide 48/4=12. Then problem becomes: 26-12 = 14.

7 0

3 years ago

Lisa's pet shop has 2 fish tanks.Tank A contains smaller fish who are fed 1 gram of food each per day.Tank B contains 2/3 the nu

Nutka1998 [239]

Answer:

Lisa will not be able to feed both tanks the same amount of food.

Step-by-step explanation:

This question is incomplete, here is the complete question :

"Lisa pet shop has 2 fish tank . Tank A contains smaller fish who were fed 1 gram of food each per day. Tank B contains larger fish who are fed 2 gram each per day. If tank B contains 2/3 the number of fish Tank A contains,will Lisa ever feed both tanks the same amount of food."

Let the number of fish in tank A = f

Lisa fed 1 gram of food each per day = f × 1 = f

So,the number of fish in tank B = $\frac{2}{3}f$

Lisa fed 2 gram of food each per day = $\frac{2}{3}f\times 2$

If both the tanks are fed with same amount of food then

$f=\frac{2f}{3}\times 2$

$f=\frac{4f}{3}$

⇒ 3f = 4f

⇒ 3 = 4

But 3 ≠ 4

Therefore, Lisa will not be able to feed both tanks the same amount of food.

5 0

3 years ago

Write the standard form of the equation of the circle with radius 7 and center (4,−9).

Troyanec [42]

Answer:

x^2 + y^2 - 8x + 18y + 48 = 0

Step-by-step explanation:

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the centre of circle and r is the radius of circle. hence the standard form of equation can be obtained by expanding

(x-4)^2 + {y-(-9)}^2 = 7^2

7 0

3 years ago

7. 103 x n = 630<br> What does the N <br> equal

alexira [117]

Answer:

i dont know if its supposed to be a whole number, fraction, decimal.

Step-by-step explanation:

but, one possible answer is 103 x 6 + 12 = 630

5 0

3 years ago

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