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mel-nik [20]
2 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]2 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%

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981 rounded to nearest 100
sergey [27]

Answer: 1000

Step-by-step explanation:

     9         8       1

Hundred tens one

The question is asking for to round to the nearest hundred (100) which means is rounding to [9] in this question.

The number of the place before the hundreds place is [8] on the tens place.

  • When numbers are greater than or equal to 5, you round up a digit.
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[8] is greater than 5, so you round 9 up. When rounding 9 up, you get 10.

<h2>So, the final number will be 1000</h2>
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3 years ago
Page 7:
borishaifa [10]

Answer:

p, m, n.

Step-by-step explanation:

It is given that,

n=p(m)

Here, p is the name of the function and its variable is m which is independent.

Independent variable : Whose value does not depend on another variable.

Dependent variable : whose value depends on the another variable.

Since the value of n depends on the value of p(m) which is a function of m, therefore n is a dependent variable which depends on the variable m.

∴ If n = p(m), p is the function name, m is the independent variable,  and n is the dependent variable.

8 0
3 years ago
1. Which of the following describes the end behavior of the function ƒ(x) = x^4 + 3x^3 – 2x + 7?
snow_tiger [21]

Hello, when x tends to \infty the term with the highest degree will lead the behaviour.

In other words.

\displaystyle \lim_{x\rightarrow+\infty} {x^4+3x^3-2x+7}\\\\=\lim_{x\rightarrow+\infty} {x^4}\\\\=+\infty\\\\\\\displaystyle \lim_{x\rightarrow-\infty} {x^4+3x^3-2x+7}\\\\=\lim_{x\rightarrow-\infty} {x^4}\\\\=+\infty

So, the answer B is correct.

Thank you.

6 0
3 years ago
Your school's drama club charges $4 per student for admission to Our Town. The club borrowed $400 from parents to pay for costum
inna [77]

Answer:

125 students attend.

Step-by-step explanation:

We already know that the drama club made $500 (500 - 400 = 100)

divide 500 by 4 to find out how many students attend the play, and paid $4

500 ÷ 4 = 125

125 students attend.

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3 years ago
Sum of two consercutive integers is -49
lianna [129]
The answer is B. Hard to explain but it is B.
8 0
3 years ago
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