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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

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Let X be the total number of guests
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For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?
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6 0
3 years ago
Please help and explain please !!!!!!
weeeeeb [17]


The answer for number one is 4. 

How do you simplify the square root of 4? It's simple. What times itself equals 4?   The answer would be 2! And because its √4×√4 it is simplified into 2×2=4

For number 2  the same thing applies. What times itself equals 12?

This one is a little tricky because it is not a perfect square (like how √4 is.)

But the square root of 12 is 3.46, which we can round to about 3.5.

Now what is the square root of 6? Once agian it is not a perfect root so the answer will be a decimal. 2.44 or rounded to 2.45. 

Now what is 3.5 × 2.45? Answer is the answer is about 8.57 or rounded
 8.60.

For the third question what is the square root of 7? The answer would be  about 2.65.
Remember PEMDAS. Parenthesis, exponents, multiply, divide, add, subtract. (yeah you know this:)
First comes parenthesis. SO 1 minus 2.65 is equal to  - 1.65.
Next set of parenthesis is 1+ the square √7 so it would be the opposite of what we just did. So 1 plus 2.65. That equals 3.65.

Now when there are 2 sets of parenthesis next to eachother )( 
That means we need to MULTIPLY the two sides.
So 
-1.65 × 3.65 ≈  - 6.

Last but not least Number 30. It might look scary but  its not.

What is the square root of 2? 
Its about 1.5. 
The fraction is just another form for  this  3÷1.5 
The answer is 2. 

Hope this was Helpful, sorry it was a little long but you needed an explanation :)



6 0
3 years ago
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