A survey of U.S. adults found that 67% oppose raising the Medicare eligibility age from 65 to 67. You randomly select 80 U.S. adults S and ask them how they feel about raising the Medicare eligibility age from 65 to 67. Find the probability that the number who oppose raising the age is (a) at least 65, (b) exactly 50, and (c) more than 60, and (d) identify any unusual events. Explain.

Answers

Answer 1

Answer:

0.477%

6.55%

5.05%

Event in question (a)

Step-by-step explanation:

Given that:

p = 0.67 ; n = 80

Using Normal approximation :

Mean (m) = np = 80 * 0.67 = 53.6

Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057

probability that the number who oppose raising the age is

(a) at least 65

65 - 0.5 = 64.5 = x

Z = (x - m) / s

Z = (64.5 - 53.6) / 4.2057 = 2.592

P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)

(b) exactly 50

x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5

Z = (50.5 - 53.6) / 4.2057 = - 0.737

Z = (49.5 - 53.6) / 4.2057 = - 0.974

P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)

0.23056 - 0.16503 = 0.06553

(c) more than 60, and (d) identify any unusual events

x = 60 + 0.5 = 60.5

Z = (60.5 - 53.6) / 4.2057 = 1.64

P(Z > 1.64) = 0.0505

D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%


Related Questions

Richard is walking around her neighborhood. If he walks
1
3
mile in
1
6
hour, how fast is Richard walking, in miles per hour?

Answers

Answer:2 miles per hour

Step-by-step explanation:

1/3 times 6

To determine how fast is Richard walking, the concept of average speed comes into picture. The average speed of Richard is 2 miles per hour. Therefore the correct option is option B

What is Average speed?

Average speed can be calculated by dividing total distance traveled by a body to the total time taken for the body to reach its destination.

Now determine how fast is Richard walking, in miles per hour

We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time

Total distance traveled by Richard = 1/3 mile

Total time taken = 1/6 hour

Average speed =  total distance /  total time

Average speed = (1/3) / (1/6)

Reciprocal the denominator term, and we get

Average speed = (1/3) × 6

Average speed = 2 miles per hour

Therefore, Richard is at an average speed of 2 miles per hour

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For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 17
2. 12.7
3. 11
4. 12.2

Answers

Answer:

12.7

Step-by-step explanation:

[tex] \sin \: 42 \degree = \frac{x}{19} \\ \\ 0.6691306064 = \frac{x}{19} \\ \\ 0.6691306064 \times 19 = x \\ \\ x = 12.7134815 \\ \\ x \approx 12.7[/tex]

A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.

Answers

Answer:

18 miles / hour


Beanie works cleaning carpets. He charges $99 per room. If he cleans 3 rooms in one home, 5 in another, and 4
in a third home, how much will he make?

A. $693
B. $1188
C. $891
D. $792

Answers

Answer:

B. $1188

Step-by-step explanation:

If he makes $99 per room, add all the rooms first:

3 + 5 + 4 = 12 rooms total

Then multiply the number of rooms by the price per room:

$99 * 12 = $1188

A large pot of water is heating up on a stove at a constant rate. After three minutes of heating it had a temperature of 100 ℉. After nine minutes of heating the temperature was at 148 ℉. Let T be the temperature and n be the number of minutes. Write a linear equation for T in terms of n.

Answers

Answer:

Given function:

y=9.5x+62.1

We have to find the number of minutes x, when y=138.1°F

Put value of y in function.

138.1=9.5x+62.1

Subtract 62.1 from both sides.

76=9.5x

Divide both sides by 9.5.

8=x

or

x=8 minutes

Answer: After 8 minutes the temperature of water will be 138.1°

Step-by-step explanation:

Answer:

T= 8n+76

Step-by-step explanation:

First you need to find the average rate of change:

( 3, 100)

(9,148)

Subtract:

148-100= 48

9-3= 6

Then divide them:

48/6=8

This is your slope, now we must find our y- intercept by using the formula

y= mx+b:

y=mx+b

Plug in what you know:

y= 8x+b

To find your y-intercept use one of the 2 points above, either (3,100) or (9,148)

Plug in your x's and y's into your almost complete equation:

100= 8(3)+b

Then solve to get b:

You should get b=76

Hope this helps

My last oneeeeee help please​

Answers

Answer:

C  HOPE THIS HELPS MARK BRain leist

Step-by-step explanation:

Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios.

Which table shows the same data?

Answers

Answer:

d

Step-by-step explanation:

What basic fact can you use to divide 2,800 by 7

Answers

Step-by-step explanation:

2800/7 = 400, ,

please you can see the upper paper which

can to solve this division math

These points are linear. Find the slope.

Answers

Answer:

5

Step-by-step explanation:

To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 10) and (3, 15).

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{15-10}{3-2}[/tex]

          = 5

PLZ HELP ASAP WILL GIVE BRAINLIEST

Answers

can anyone help me on my recent question please

god please help me i’ve been stuck on this problem for hours and i’m so hungry:(

Answers

Answer:

B

Step-by-step explanation:

u should go eat

Answer:

A)

because it passes the line twice instead of once

(fuctions only cross once)

hope that helped you:)

please make my answer brainiest as im trying get 3 brainiest answers

Someone please help me

Answers

4 (3n-2) is the answer.

Woops. Sorry I had no idea that it said expression (s) instead of expression, but that is one of the answers though.

Answer:

second box fourth box and 5th box

Step-by-step explanation:

What is the sum of ? × ? + ? =297

Answers

Answer:

145 x 2 + 7 = 297

- I hope this helps have a great night!

Answer:

297 is the sum.

99 x 3 + 0 = 297 or 58 x 5 + 7 = 297 are the solutions to the "?"

Step-by-step explanation:

Well, the sum of a number is the answer of something when doing addition, so technically, this is already revealed.

If you meant what numbers the question marks represent, then this could be a number of answers. However, the easiest solutions would be:

99 x 3 + 0 = 297 or 58 x 5 + 7 = 297

Hope this helps! :)

PLZ answer the QUESTION IF U KNOW THE ANSWER

what two properties were using this equivalent expression ​

Answers

1. Associative property
2. Distributive property

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.
The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each
topping. How many toppings need to be added to a large cheese pizza from
Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the
same, not including tax?

Answers

Answer:2

Step-by-step explanation:

.9x+6.8

.65x+7.3

Find x by graphing it

Whoops wrong question

Help me out hereeeeeeeeee

Answers

Answer:

0.28

Step-by-step explanation:

Simplify 8 over negative 3 divided by negative 4 over 9.

−8
−6
6
8

Answers

Answer:

The answer is 6. Hope this helped :D

Whats the slope of the line?​

Answers

Answer:

-4,5

Step-by-step explanation:

There are two ways you can figure it out.

One way is to choose any two distinct points (x1,y1) and (x2,y2) on the line then use the slope formula below to find the slope m.

m=y2−y1x2−x1. So your points are (-2,2) and (-2,3)

So you need to find the y and x coordinates-

Should I continue explaining? Or r u good?

A 3-yard roll of wrapping paper costs $8.64. What is the price per inch?

Answers

0.08$

Step-by-step explanation:

1yrd=36inch

3yard=108inch

108 inch costs 8.64$

8.64/108=0.08$ ( 1 inch cost)

Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save.

Answers

Answer:

75.23=10.27x

Step-by-step explanation:

x will represent how many months Luis will save and it will equal 75.23. To find the value of x, divide 10.27 on both sides and get x=7.32. That means Luis will need to earn 10.27 for 7.32 months to get Jordans.

sin θ = 12/37. Find tan θ.

Answers

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA.

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex]

Opposite side length= 12

Hypotenuse length = 37

Find the adjacent side length (b) using the Pythagorean theorem.

[tex]12^2 + b^2 = 37^2[/tex]

b = 35

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = 12/35

Choice B is the correct answer.

Answer:

Step-by-step explanation:

using sin inverse rule to get  theta

[tex]sin^{-1} (\frac{12}{37} ) =18.9246[/tex]  <---- theta

so tan(18.9246) =12 /35

What is this! I will mark u as branilyst

Answers

The answer is -6

because the triangle angles must measure to 180 and the scalene triangle states that the base angles add up to 86. Subtract 86 from 100, you get 94. Angle two is 94. 94-100=x

if the nth term of a sequence is n^2 -3, find the first 3 terms and the 10th term.

Answers

Answer: -2, 1, 6,...97

Step-by-step explanation:

1st term: 1^2 - 3 = -2

1^2 = 1

1-3=-2

2nd term: 2^2-3 = 1

2^2 = 4

4-3=1

3rd term: 3^2-3 = 6

3^2 = 9

9 -3 = 6

10th term: 10^2-3 = 97

10^2 = 100

100-3=97

A basketball player makes 65% of all free throws in her first 5 seasons. In her 6th season she makes 105 out of 150 free throws. How does the observed frequency of her 6th season compare to the expected frequency? Provide a possible explanation for any similarities or differences in the frequencies. 7.50.3.7
(35 points i think)

Answers

If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.

What is the observed frequency of her 6th season?

The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:

Expected frequency = (65/100) * 150 = 97.5

The observed frequency of successful free throws in the 6th season is 105.

To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:

z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))

total sample size = 150

expected frequency = 97.5

observed frequency = 105

z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28

The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.

Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.

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Alec types
3
5
of a paragraph in
2
3
minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?

Answers

Answer:

9/10 of a paragraph in a minute

Step-by-step explanation:

find out how much he can type in 1/3 of a minute

(3/5)/2     3/5=6/10    (6/10)/2   3/10

(3/10)*3=9/10

Answer:

9/10

Step-by-step explanation:

hope it worked

The owner of a health club decides to reduce the $35 membership fee by five dollars what is the approximate percent decrease in the fee

Answers

Answer:

14%

Step-by-step explanation:

5/35 = About 0.14

it's c

have a nice day mark me brainlist!

possible number of extrema a 4th degree polynomial could have is:

A. 3 or 1 extrema
B. 4 or 2 extrema
C. 5 extrema
D. none ​

Answers

Answer:

A

Step-by-step explanation:

given that 16 ounces equal 1 pound , how many ounces are in 6.7 pounds

Answers

Answer:107.2

Step-by-step explanation:

Answer:

107.2

Step-by-step explanation:

6 x 16 = 96

.7 x 16 = 11.2

add them to get 107.2

The price of a 40-inch television is $268 plus 8% sales tax rate. What is the amount of the sales tax for the television, in dollars and cents?

Answers

$268.00 base price
8% is $21.44
Total with tax $289.44

5/13 as a decimal rounded to the nearest hundredth

Answers

Answer:

0.40

Step-by-step explanation:

5/13 = 0.38461538461. Hundreths place is the 2nd number after decimal so if you round 8 it'll be .40

Answer:

5/13 as a decimal to the nearest hundredth is 0.39 or 0.40.

Step-by-step explanation:

You simply need to divide 5 by 13, and you get 0.384615, but round to the nearest hundredth gets you 0.40

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