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bazaltina [42]
3 years ago
7

Statewide, there are 20 full-time employees to every 3 part-time employees. If there are 250,000 full-time employees, how many p

art-time employees are there statewide?
Mathematics
1 answer:
pickupchik [31]3 years ago
8 0

Divide total full time employees by 20 to find how many groups of 20 there are, then multiply that number by 3 to find total part time employees:

250,000 / 20 = 12,500

12,500 x 3 = 37,500 part time employees.

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The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
JulsSmile [24]

Answer:

1) n=114

2) n=59

3) On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

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

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by \alpha=1-0.80=0.2 and \alpha/2 =0.1. And the critical value would be given by:

z_{\alpha/2}=-1.28, z_{1-\alpha/2}=1.28

Part 1

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.06 or 6% points, and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have a prior estimate of \het p we can use 0.5 as a good estimate, replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.06}{1.28})^2}=113.77  

And rounded up we have that n=114

Part 2

On this case we have a prior estimate for the population proportion and is \hat p =0.85 so replacing the values into equation (b) we got:

n=\frac{0.85(1-0.85)}{(\frac{0.06}{1.28})^2}=58.027

And rounded up we have that n=59

Part 3

On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

5 0
3 years ago
to make a cheesecake, you need about 2 1/2 pounds of cream cheese. how many pounds of cream cheese will you need to make 2 chees
harina [27]

Answer:

5 pounds.

Step-by-step explanation:

2 1/2 = 2.5

2.5 x 2 = 5

6 0
3 years ago
I need to find the area of the shaded region
spin [16.1K]
Well first find the area of the semi-circle. 

If the area of a cricle is equal to pi*radius^2 , then you can just find that and divide by 2.

So, A = pi*2^2. = 4pi

We know that the radius is 2 because the length of the side of the rectangle is 4, meaning that the diameter of the semi-circle is 4, and so the radius is 2 as it is half of the diameter. 

We can easily calculate the area of the rectangle, which is
 Length * width = 6*4 = 24.

Next we divide 4pi by 2 in order to get the area of the semi-circle, giving us an area of 2pi

We can just subtract 2pi from 24 and get the area of the shaded region.

Area of the shaded region (answer): 17.7
4 0
3 years ago
Bianca has a paper route. She delivers 100 newspapers every 2 days. How many newspapers does she deliver in a week?
Vlad [161]

We know Bianca delivers 100 newspapers every 2 days.

So we must find out how many papers she delivers in 1 day.

100 ÷ 2 = 50

Bianca delivers 50 papers in 1 day.

Now we must multiply that by 7.

50 × 7 = 350

We get 350 papers per week.

The answer is 350.

8 0
3 years ago
Jane bough 1.5 pounds of chicken, then went back to the store and bought 1 13/16 More pounds, how many total pounds did she buy
Studentka2010 [4]

Answer:

Step-by-step explanation:

1.5 + 1 13/16

O.5 = 1/2

(1+1)+(1/2 + 13/16)

2 + (8/16 + 13/16) = 2 21/16

4 0
2 years ago
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