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
jok3333 [9.3K]
3 years ago
9

he labor force participation rate is the number of people in the labor force divided by the number of people in the country who

are of working age and not institutionalized. The BLS reported in February 2012 that the labor force participation rate in the United States was 63.7% (Calculatedrisk). A marketing company asks 120 working-age people if they either have a job or are looking for a job, or, in other words, whether they are in the labor force. What is the probability that fewer than 60% of those surveyed are members of the labor force?
Mathematics
1 answer:
tangare [24]3 years ago
8 0

Answer:

z= \frac{0.6-0.637}{0.0439} =-0.843

So then we can find the probability like this:

P(p

And using the normal standard table or excel we got:

P(p

Step-by-step explanation:

For this case we can check if we can use the normal approximation for the proportion and we have this:

np = 120*0.637 =76.44 >10

n(1-p) = 120*(1-0.637) = 43.56>10

Then we can conclude that we can use the normal approximation. And we have this:

p\sim N (p, \sqrt{\frac{p(1-p)}{n}})

So the mean is given by:

\mu_p = 0.637

And the deviation is given by:

\sigma_p = \sqrt{\frac{0.637*(1-0.637)}{120}}= 0.0439

And for this case we want to find this probability:

P( p

And we can use the z score given by:

z = \frac{p -\mu}{\sigma_p}

And for this case the z score is:

z= \frac{0.6-0.637}{0.0439} =-0.843

So then we can find the probability like this:

P(p

And using the normal standard table or excel we got:

P(p

You might be interested in
stickers are made with the same ratio of width to length. a sticker 2 inches has a length of 6 inches. complete the table​
Furkat [3]
The answer is 2 x10 = 20
To the power of b which is 15
4 0
2 years ago
What is the average amount of milk used for an order of pancakes
Marta_Voda [28]

Answer:

a 4th of a cup maybe

Step-by-step explanation:

8 0
3 years ago
QUICK HELP!!!!!!!!!!!!!!!!
JulijaS [17]

Answer:

Its C im pretty sure. Also loveee your pfp!

3 0
3 years ago
Find the sum or difference. a. -121 2 + 41 2 b. -0.35 - (-0.25)
s344n2d4d5 [400]

Answer:

2

Step-by-step explanation:

The reason an infinite sum like 1 + 1/2 + 1/4 + · · · can have a definite value is that one is really looking at the sequence of numbers

1

1 + 1/2 = 3/2

1 + 1/2 + 1/4 = 7/4

1 + 1/2 + 1/4 + 1/8 = 15/8

etc.,

and this sequence of numbers (1, 3/2, 7/4, 15/8, . . . ) is converging to a limit. It is this limit which we call the "value" of the infinite sum.

How do we find this value?

If we assume it exists and just want to find what it is, let's call it S. Now

S = 1 + 1/2 + 1/4 + 1/8 + · · ·

so, if we multiply it by 1/2, we get

(1/2) S = 1/2 + 1/4 + 1/8 + 1/16 + · · ·

Now, if we subtract the second equation from the first, the 1/2, 1/4, 1/8, etc. all cancel, and we get S - (1/2)S = 1 which means S/2 = 1 and so S = 2.

This same technique can be used to find the sum of any "geometric series", that it, a series where each term is some number r times the previous term. If the first term is a, then the series is

S = a + a r + a r^2 + a r^3 + · · ·

so, multiplying both sides by r,

r S = a r + a r^2 + a r^3 + a r^4 + · · ·

and, subtracting the second equation from the first, you get S - r S = a which you can solve to get S = a/(1-r). Your example was the case a = 1, r = 1/2.

In using this technique, we have assumed that the infinite sum exists, then found the value. But we can also use it to tell whether the sum exists or not: if you look at the finite sum

S = a + a r + a r^2 + a r^3 + · · · + a r^n

then multiply by r to get

rS = a r + a r^2 + a r^3 + a r^4 + · · · + a r^(n+1)

and subtract the second from the first, the terms a r, a r^2, . . . , a r^n all cancel and you are left with S - r S = a - a r^(n+1), so

(IMAGE)

As long as |r| < 1, the term r^(n+1) will go to zero as n goes to infinity, so the finite sum S will approach a / (1-r) as n goes to infinity. Thus the value of the infinite sum is a / (1-r), and this also proves that the infinite sum exists, as long as |r| < 1.

In your example, the finite sums were

1 = 2 - 1/1

3/2 = 2 - 1/2

7/4 = 2 - 1/4

15/8 = 2 - 1/8

and so on; the nth finite sum is 2 - 1/2^n. This converges to 2 as n goes to infinity, so 2 is the value of the infinite sum.

8 0
3 years ago
The graph shows the solution to the previous system of equations.
patriot [66]

Answer:

Shade above 2x + y = 4.

Shade below 2x + y = 4.

Shade above 2y = 6 – 2x.

Shade below 2y = 6 – 2x.

Make the boundary line 2x + y = 4 dashed.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Can someone try to explain this? I'm super confused. my teacher is no help, he won't answer any of my emails :(​
    8·2 answers
  • What number makes the equation true?<br> − 15 = 64
    14·2 answers
  • The entire little league division that the Hawls belong to has the same ratios of redheads to everyone else. What is the total n
    5·1 answer
  • Find the slope of the line that contains the points named.
    15·1 answer
  • What is the answer to this? y+4= -2(x-1)
    15·1 answer
  • Pls helppp :))
    15·1 answer
  • Find the measure of angle A to the nearest degree
    11·1 answer
  • PLEASE HELP ASAP, I HAVE 10 MINUTES ;
    6·1 answer
  • Find the value of x<br>3(2x-4)=18 <br>​
    5·1 answer
  • Please help me <br> Find the product of ( 5x+2y)( 5x-3y) using the identity.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!