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
(Please help!)<br><br> Divide:<br> (4x² +33x+37) = (x+7)<br><br> Quotient:<br><br> Remainder:
Drupady [299]

Answer:

2

Step-by-step explanation:

4x² + 33 x + 37 = (4 x + 5) × (x + 7) + 2

5 0
3 years ago
Se golpea (chuta) un balón sobre el piso y sale dando botes parabólicos cada vez menores. Si se lanzo inicialmente con una veloc
Ipatiy [6.2K]

Answer:

a)d = 180,91 m

b)t = 11,76 seg

Step-by-step explanation:

Para el lanzamiento de proyectil, la ecuación que nos da la velocidad en V(y) es:

V(y)  = Voy - g*t

en donde Voy = Vo * senα    ( donde Vo es la velocidad inicial, α el angulo del disparo.

Si en esta ecuación hacemos V(y) = 0 estamos en el punto donde el componente en el eje y de la velocidad del proyectil es cero, ese punto es el punto medio del recorrido.

0 =  Vo*sen 60⁰     - g*t

g*t  =  Vo* √3/2

t  = { 32 [m/s] * √3 }2*9,8 [m/s²]

t = 16*√3  / 9,8

t = 2,8278 seg

El tiempo total del primer recorrido es entonces por simetría

t₁ = 2 * 2,8278           t₁  = 5,6556 seg

La distancia del primer impacto al suelo es:

x = Vox * t₁                        ( Vox es constante   Vx = Vo*cos 60⁰ )

x  =  32 * (1/2) * 5,6556

x₁  =  90,49 m

Aplicando los mismos criterios ahora para el segundo bote

Ahora Vo = 32 -  32*(1/4)

V = 24 m/s

g*t  =  24 * sen 50⁰

t =  24* 0,7660/ 9,8  

t =  1,8759

2*t  = 2*1,8759

t₂  = 3,7518 seg

x₂  =  Vox * t₂

x₂  =  24* 0,6428*3,7518

x₂  =  57,88 m

Y para el tercer bote Vo =  24 - 24(1/4)        Vo = 18 m/s     α = 40⁰

t = 18 *0,6428/9,8

t  = 1,18

2t  = t₃  = 2*1,18

t₃ = 2,36 seg

x₃  = Vox * 2,36                Vox = Vo*cos 40      Vox = 18*0,7660  

Vox = 13,79

x₃  = 13,79*2,36

x₃  = 32,54 m

La distancia total será

d = x₁  + x₂ + x₃

d  =  90,49  + 57,88 + 32,54

d = 180,91 m

y el tiempo total será la suma de los tiempos

t =  t₁  +  t₂  +  t₃

t  = 5,65 + 3,75 + 2,36

t = 11,76 seg

8 0
3 years ago
Tom ordered some books online and spent a total of $75. Each book cost $6 and he paid a total of $3 for shipping. How many books
BaLLatris [955]

Answer:

a)

_b+_=_

6B+3=75

B)

He ordered 12 books

Step-by-step explanation:

so each book (b) costs $6. he payed $75 total including the $3 shipping price

That gets us:

6b+3=75

6b=72

b=12

Therefore, Tom ordered 12 books

5 0
3 years ago
A fair charges 7.25 for admission and 5.50 for a ride pass. Ten friends visited the fair. Not all of the friends purchased ride
Free_Kalibri [48]
7.25(10) + 5.50p = 105.50
72.50 + 5.50p = 105.50
5.50p = 105.50 - 72.50
5.50p = 33
p = 33 / 5.50
p = 6 <=== there were 6 ride passes purchased
4 0
3 years ago
9. An inequality is shown
LenKa [72]
The answer is c 19
38/2=19
Step-by-step explanation
7 0
3 years ago
Read 2 more answers
Other questions:
  • I am needing to know the answer to 3/7 of what number is 9?
    12·2 answers
  • Use #s 2,0,1,9 to equal 13
    15·1 answer
  • Sue lives 6 miles from Gill. She also lives 1 mile closer to Taco Town restaurant than Gill does. Write an equation that shows t
    10·1 answer
  • Find the surface area of the rectangular and triangular prisms
    6·1 answer
  • Which inequality corresponds<br>to the following graph?​
    7·1 answer
  • Three trapezoids have the same base lengths, but different angle measures. Which trapezoid has the greatest area? Explain. The a
    10·1 answer
  • Please help me urgently ❤️ Plz
    12·1 answer
  • Y varies inversely as x. y = 12 when x = 7. Find y when x = 6.
    11·2 answers
  • The coordinates of the image of P(3,-4) under a reflection in the x-axis are:
    6·1 answer
  • Blake measures the lengths, in inches, of 10 insects. He records the lengths of the insects on this line plot. He adds the lengt
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!