Answer:
0
Step-by-step explanation:
Let X to be a random variable that looks a binomial distribution which denoted the number of employees out of the 281 who earn the prevailing minimum wage or less
The sample size n = 281
The population parameter p = 5% = 0.05
Using normal approximation for the mean.
![\mu = np](https://tex.z-dn.net/?f=%5Cmu%20%3D%20np)
![\mu = 281\times 0.05](https://tex.z-dn.net/?f=%5Cmu%20%3D%20281%5Ctimes%200.05)
![\mu = 14.05](https://tex.z-dn.net/?f=%5Cmu%20%3D%2014.05)
The standard deviation is:
![\sigma = \sqrt{np(1-p)}](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7Bnp%281-p%29%7D)
![\sigma = \sqrt{281 \times 0.05(1-0.05)}](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B281%20%5Ctimes%200.05%281-0.05%29%7D)
![\sigma = \sqrt{281 \times 0.05(0.95)}](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B281%20%5Ctimes%200.05%280.95%29%7D)
![\sigma = \sqrt{13.3475}](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B13.3475%7D)
![\sigma =3.6534](https://tex.z-dn.net/?f=%5Csigma%20%3D3.6534)
By using continuity correction; the sample mean x is:
x = 30 - 0.5
x = 29.5
The z statistic test can now be as follows:
![Z = \dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![Z = \dfrac{29.5-14.05}{3.6534}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B29.5-14.05%7D%7B3.6534%7D)
![Z = \dfrac{15.45}{3.6534}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B15.45%7D%7B3.6534%7D)
Z = 4.23
Thus, the probability that company A will get a discount is
P(X ≥ 30) = P(Z >4.23)
= 1 - P(Z < 4.23)
By using the Excel function for the z score 4.23 i.e. "=1 - NORMSDIST(4.23)" we get;
= 0.0000
Answer:
x= -41/10
Step-by-step explanation:
2x-9/5= -10
2x= -10+9/5
2x= -41/5
(divide on both sides)
x= -41/10
Answer:
1500
Step-by-step explanation:
we can do simple triangle numbers to do this. 4 more seats per row. we take 10 which is the first row and add the last row which 110 because 4*25 rows is 100 more. now we can half the rows to 12.5 and multiply that by the 120 and we get 1500 and we are done
Answer:
6
Step-by-step explanation:
Each centimeter is equal to .01 meters
Or 100 centimeters = 1 meter
So if we convert Paula’s painting perimeter of 1.47 meters to centimeters, it would be 147 centimeters.
Now, since each ribbon comes in pieces that are each 25cm, we know are left with an easy division problem 147 divided by 25 or 5.88.
Since she needs the least amount of ribbons that it would take to wrap around the perimeter of the painting, we know it would be 6 because 6x25 = 150cm.