In 2003, approximately 0.38% of the U.S. population had HIV/AIDS. Of these, it was estimated that 24.8% were not aware they have the disease. What is the probability that a randomly selected 82 Chapter 3 Conditional Probability and Independence person who does not know whether or not he or she has the disease will actually have it

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{2.3}{\sqrt{1083}} = 0.18[/tex]

Rounding to one decimal place, 0.2.

The lower end of the interval is the sample mean subtracted by M. So it is 4 - 0.2 = 3.8 reproductions

The upper end of the interval is the sample mean added to M. So it is 4 + 0.2 = 4.2 reproductions.

The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.

Answer:

Kela will be able to travel for 7 stops before her money runs out.

Step-by-step explanation:

Since Kela wants to visit a friend who lives 8 kilometers away, and she'll ride the subway as she can before walking the rest of the way, and she needs to buy an access pass that costs $ 5.50 and there is also a fee of $ 1.25 for each stop, if Kela doesn't want to spend more than $ 15 on the trip, to determine the largest number of stops she can afford, the following calculation must be performed:

(15 - 5.5) / 1.25 = X

9.5 / 1.25 = X

7.6 = X

Therefore, Kela will be able to travel for 7 stops before her money runs out.

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You have 12 marbles and you have 4 of each color.

The arc length will be option B. 13.6 cm.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

If radius of the circle is of r units, then

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

The superscript 'c' shows the angle measured in radians.

Given; A sector has a radius of 12 centimeters and an angle of 65 degrees.

So we input our values in the formula:

2π (12) x 65/360

= 24π x 65/360

= 13.6

Hence, the arc length will be option B. 13.6 cm.

Learn more about angle, arc length relation here:

https://brainly.com/question/15451496

#SPJ2

Answer:

10 g

Step-by-step explanation:

40/2 = 20 g

20/2 = 10 g

If half-life of a radioactive kind of tellurium is 2 months. If you start with 40 grams of it, then 10 gm of it left after 4 months.

Half-life is the time required for a quantity to reduce to half of its initial value.

Given,

The half-life of a radioactive kind of tellurium is 2 months

It started with 40 grams of radioactive kind of tellurium

As given, half is for two months

In first two months it becomes 20 gm

40/2= 20gm

In second two months the 20 gm is reduced by half

20 gm/2=10gm.

Hence, 10gm of radioactive kind of tellurium is left after 4 months.

To learn more on Half life click:

https://brainly.com/question/24710827

#SPJ2

Answer:

We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the cosine identity:

cos(x) = adj/hyp.

Here, adj = 2 and and x = 50° and hyp is unknown and what we are solving for.

adj/cos(x) = hyp, 2/cos(50) = hyp.

hyp = 3.11

Answer:

Step-by-step explanation:

x = 1

Therefore 1 + 3x = 1 + 3 (1)

= 1 + 3

= 4

Answer:

Step-by-step explanation:

1 + 3x

[By putting the value of x =1]

= 1 + 3×1

= 1 + 3

= 4 (Ans)

Answer:

A = 30

Step-by-step explanation:

it's a 30,60,90 triangle by the sides but to prove it:

sohcahtoa

cos A = 3√2/2√6 = 4.24/4.899 = .865

A = 30°

Answer: g

Step-by-step explanation:

Answer:

no sé amigo Thu tcug

Step-by-step explanation:

v8ftuuurk

Answer:

Current deposit amount  = $324.65 (Approx.)

Step-by-step explanation:

Given:

Cost of bicycle = $400

Future amount = $400

Rate of interest = 11% = 0.11

Number of year = 2 year

Find:

Current deposit amount

Computation:

Compound interest formula

A = P[1+r]ⁿ

Future amount = Current deposit[1+Rate of interest]ⁿ

400 = Current deposit[1+0.11]²

400 = Current deposit[1.11]²

400 = Current deposit[1.2321]

Current deposit amount  = 400 /1.2321

Current deposit amount  = $324.65 (Approx.)

Answer:

5/6

Step-by-step explanation:

Step-by-step explanation:

Distance between points (-7, 2) and (-2, 14) is 13

Answer:

x= 29

Step-by-step explanation:

Answer:

n = 4

Step-by-step explanation:

3(n + 3) = 6n - 3

3n + 9  = 6n - 3

12 = 3n

n = 4

Answer:

A) choice on the left

B) choice on the right

C) choice on the right

D) choice on the right

Step-by-step explanation:

Answer:

0.2 I think

Step-by-step explanation:

7x6=42

35÷42=0.2

Answer:

-3

Step-by-step explanation:

Answer:

hi sjsjsejrjhrhrjrjehhwhkekekhehe

Step-by-step explanation:

d part is the answer

it it was the same as the last time you had

Answer:

Luis

Step-by-step explanation:

One hour is 60 minutes total, leaving and extra 30 minutes for Ava, which is half of 60. So, in fraction form, she walked 1 1/2 OR 1 2/4 hours, which is less than Luis. He walked about an hour and 45 minutes total, or 105 minutes.

Answer:

The answer is 16 for the blue dot

I'm think it's 16

Step-by-step explanation:

This is because it seems that it jumps from 0 to 4. So you add four to the number 4...

Answer:

2's volume is 93 3/4 and 3's volume is 40

Step-by-step explanation:

Just use the formula to find volume, length x width x height. For 2, it would be 5x5x3 3/4 to give you a product of 93 3/4. For 3, it would be 3x2x6 2/3 which equals 40.

I hope this helps!

Answer:

42

Step-by-step explanation:

Y=3((2×4)+6)

Y=3(8+6)

Y=3(14)

Y=42

Answer:

40

explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.

Answer:

B po

Step-by-step explanation:

Kase interquartile range po yan

Answer:

5x, 4x and x.

Step-by-step explanation:

Like Terms. "Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. So say we have 4,5,and 3x. 4 and 5 would be like terms because they are just whole numbers. If we added another number with a coefficient of x, it would be 3x's like term. It's not as simple though, because a number having letters doesn't just make it a like term. It has to be the same letter(s). 4x and 5y are not like terms but 4x and 5x would be. 4xy and 5yz are not like terms but 5yz and 6yz would be like terms.

Hope this helps!

To learn more about like terms go to https://brainly.com/question/11361920 !