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Zina [86]
3 years ago
14

What is the gross pay per pay period?

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Divide 71,290 with 2

71,290 / 2 = 35,645

Then, divide 35,645 with 12 ( because theres 12 months in 1 year )

35,645 / 12 = 2970.42

a) 2970.42 is your answer.

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What is true about angles that are complementary to the same angle
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I believe they are all equivalent

Ex.). If angles A, B, and C are all complementary to an angle that is 30 degrees, then all three would be 60 degrees (60+30=90)
7 0
2 years ago
A middle school took all of its 6th grade students on a field trip to see a play. The students filled 660 seats, which was 55% o
Elan Coil [88]

Answer:

1200 seats

Step-by-step explanation:

<u>  x  </u>  =  <u> 660 </u>

100        55

55x = 66,000

x = 1200

7 0
3 years ago
How much trail mix will each person get if 5 people share 1/2 pound of trail mix?
Tresset [83]
First you write an equation 1/2 divided by 5 than you change the division sign to a multiplication sign then you change the 5 to 1/5 then you multiply 1/2 times 1/5 and you get 1/10
8 0
3 years ago
Three angles are in the ratio 2 : 3 : 5 The smallest angle is 50 degrees Work out the sizes of the other two angles
kvasek [131]

Answer:

Step-by-step explanation:

Let angles are 2x,3x,5x

So given 2x=50

X=25.

3x=3×25=75.

5x=5×25=125.

7 0
2 years ago
An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th
monitta

Answer:

a) n =1623

b) ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

Step-by-step explanation:

1) Notation and definitions

n random sample taken

\hat p=0.19 estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

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{p(1-p)}{n}})

Part a

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 96% of confidence, our significance level would be given by \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be given by:

z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538

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 0.02 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)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912  

And rounded up we have that n=1623

Part b

The margin of error is given by:

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

So then if w replace the value of n obtained from part a we got:

ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

3 0
3 years ago
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