Answer:
A. As the Study time in increases the Test score increases.
B. Yes, the relation appears linear. The data points lie mostly on a straight and noticeable line.
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➷ Split 30 into the ratio 2 : 3
12 : 18
12 / 18 + x = 1/5
Cross multiply:
12(5) = 1(18 + x)
60 = 18 + x
Subtract 18 from both sides:
x = 42
42 girls entered the classroom
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Answer:
0.75x+15=2+0.5x-1
0.25x=1-15
0.25x=-14
x=-56
Step-by-step explanation:
Answer:
Christopher can take 56 different groups of 5 shirts.
Step-by-step explanation:
Christopher has 8 unique shirts.
Out of these only 5 can fit in his bag.
So the number of ways in which he can choose 5 shirts from the available 8 is given by ![\[_{5}^{8}\textrm{C}\] ](https://tex.z-dn.net/?f=%5C%5B_%7B5%7D%5E%7B8%7D%5Ctextrm%7BC%7D%5C%5D%0A)
This can be evaluated as ![\[\frac{8!}{5!*3!}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B8%21%7D%7B5%21%2A3%21%7D%5C%5D)
Simplifying further,
= ![\[\frac{6*7*8}{1*2*3}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B6%2A7%2A8%7D%7B1%2A2%2A3%7D%5C%5D)
= 56
So Christopher has 56 choices to select 5 shirts out of 8.
