Setting them equal to whatever the perimeter is
Answer:
It is a combination answer
495 ways
Step-by-step explanation:
In this question, we are tasked with calculating the number of ways in which a manager can select 4 people out of 12 for the Sunday evening shift.
Firstly, the question talks about selecting a particular number from a mix, this is a combination question since the key word SELECT is mentioned.
Now, how do we go about it? To select a partial number from a mix , we use the combination formula as stated.
Mathematically, say we are selecting a number r from a total of numbers n, the number of ways we can do this is nCr = n!/(n-r)!r!
In this case however, we are simply selecting 4 out of 12
Our combinational equation thus becomes 12C4 = 12!/(12-4)!4! = 12!/8!4! = 495 ways
A is the weight
B is the frequency
C is weight times frequency
D is mean minus weight
E is D raised to the 2nd power ; variance
F is E times frequency ; total variance
A B C D E F
65 1 65 7.97 63.47 63.47
68 2 136 4.97 24.70 49.40
69 5 345 3.97 15.76 78.80
70 8 560 2.97 8.82 70.57
71 7 497 1.97 3.88 27.17
72 3 216 0.97 0.94 2.82
90 2 180 17.03 290.02 580.04
95 <u> 2 </u> <u> 190 </u> 22.03 485.32 <u> 970.64</u>
30 2,189 1,842.91
2,189 / 30 = 72.97 mean
1,842.91 / 30 = 61.43 variance
√61.43 = 7.8377 or 7.84 standard deviation.
Alright, so we have 1.3/0.0338. Since it's easier (in my opinion) to work with whole numbers, we can multiply the fraction by 10000/10000 to get 13000/338. With a bit of guess and check, we can see that
338*30=338*3*10
1 2 (what I carry is at the top)
338
x3
____
1114
Multiplying that by 10, I get 11140, which isn't enough. Trying 338*40, which is 338*4*10, we can add 338 to 338*3 to get 338*4 to get
2
1114
+338
____
1462
Multiplying that by 10, we get 14620, which is more than 13000 - something we don't want. Repeating this for 338*35 (which is 338*3.5*10, and 3.5 is 3*338+338/2)=11830 and which isn't enough, we then move on to something between 35 and 40 (the number doesn't matter), say 39. 338*39=338*3.9*10, and 338*3.9 is 338*3+338*9/10, and
338*39 results to 13182, which is more than 13000 , but only by a tiny bit, so we can try 38 using the same method, getting 12844, which is smaller, so we know it's between 38 and 39. Finding the difference between 13000 and 12844, we get 13000-12844=156 and the answer is therefore 38+156/338
Answer:
<em>$</em>![11.9](https://tex.z-dn.net/?f=11.9)
Step-by-step explanation:
For this problem, you would divide the total amount by the number of weeks and that would be how much they pay for each week.
= ![11.9](https://tex.z-dn.net/?f=11.9)
A customer will pay $
each week.
![= 59.5](https://tex.z-dn.net/?f=%3D%2059.5)