1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mel-nik [20]
3 years ago
14

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. ad

ults 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.
Mathematics
1 answer:
Dimas [21]3 years ago
6 0

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%

You might be interested in
Which equation is in point-slope form for the given point and slope?
Neko [114]
First,we need to understand the point-slope form:
y1 - y2 = m(x1 - x2)
Where x and y are the coordinates and m is the slope.

Put the above information into the equation:

y-(-6)=-3/4(x-2)
y+6 = -3/4 (x-2)

Therefore the answer is C.y+6 = -3/4 (x-2).

Hope it helps!
4 0
3 years ago
Which of the following is a good way to quickly determine whether 3⁄12 and ¼ are equal? A. Inverse multiplication B. Reciprocal
IRINA_888 [86]

D. , this is a good way because this way you can easily multiply and then you'll see your answer right in front of you.


** This is an opinionated question so you don't have to listen to my answer but please rate my answer. Thanks!

4 0
3 years ago
Read 2 more answers
Write an equation of the line passing through the points (4,6) and (-2, - 18).
olga_2 [115]

Answer:

y = 4x – 10

Step-by-step explanation:

slope formula: m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

point-slope formula: y-y_{1}=m\left(x-x_{1}\right)

  1. Use slope formula and plug in your numbers: m = \frac{-18-6}{-2-4 }
  2. Solve for slope m = 4
  3. Use the point-slope formula to solve for the equation: y-6=4\left(x-4\right)
  4. Solve and find equation: y=4x-10

Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!

Hope this helps! Please give Brainliest!

4 0
2 years ago
Find the slope and the y-intercept of the graph of y=6x – 5.
dolphi86 [110]

Answer:

y intercept is -5 and slope is 6/1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
There are three small rounds of cheddar cheese in Grace’s refrigerator.She want to bring a small wedge of cheese in her lunch fo
Snowcat [4.5K]

Answer: 1/4 round.

Step-by-step explanation:

Grace has 3 wheels of cheese and she wants to eat an equal amount each day for 12 days. So each wheel needs to last 12/3 = 4 days. So then she can eat 1 wheel/4 days = 1/4 wheel per day.

3 0
3 years ago
Other questions:
  • How do i do this?! Please Help me
    12·1 answer
  • 2(3x+4)=y and y=6x+5 has only one solution
    7·1 answer
  • A rectangular box has a square base. its height is one fourth the width of the base. find a function that models its volume v in
    7·1 answer
  • The vertex form of the equation of a parabola is y=3(x-40)^2-22. What is the standard form of the equation?
    9·1 answer
  • What sample size is needed to give a margin of error within +-6 in estimating a population mean with 95% confidence, assuming a
    12·1 answer
  • Have you ever seen 2 pretty best friends?
    7·2 answers
  • Which statement about this figure is true?
    14·2 answers
  • a motorcycle traveling at 25 m/s acceleration at the rate of 7.0 m/s for 6.0 seconds what is the final speed of the motorcycle?​
    13·2 answers
  • Given the function defined in the table below, find the average rate of change, in
    8·1 answer
  • A certain brand of crackers costs $2.89 for 12.4 ounces.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!