Answer:
C. 0.60
Step-by-step explanation:
We need to find out a couple things first:
- How many students are from Westville?
- How many students did not attend the game that are from Westville?
We need to find specifically Westville, because we don't want to accidentally pick someone from North Beach who attended.
So let's look:
- Total from Westville: 150
- Total who did not attend from Westville: 90
Now in order to find a probability, we need to divide the smaller number from the biggest number. Let's do that:
90/150 = 0.6
And for this question, we specifically have to round to two decimal places. In order to do this, we just write the extra 0 at the end:
0.6 = 0.60
Look at that, 0.60 is one of our answers! :D
Answer:
9) It will be congruent to the original image. Or stay the same.
10) It gets enlarged
Step-by-step explanation:
![\bf \begin{array}{|cl|ll} \cline{1-2} term&value\\ \cline{1-2} f(1)&\\ f(2)&\\ f(3)&7\\ f(4)&7r\\ f(5)&7rr\\ &252\\ \cline{1-2} \end{array}\qquad \qquad 7rr=252\implies 7r^2=252\implies r^2=\cfrac{252}{7} \\\\\\ r^2=36\implies r=\sqrt{36}\implies r=6 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|cl|ll} \cline{1-2} term&value\\ \cline{1-2} f(1)&\stackrel{\frac{7}{6}\div 6}{\cfrac{7}{36}}\\ &\\ f(2)&\stackrel{7\div 6}{\cfrac{7}{6}}\\ &\\ f(3)&7\\ f(4)&42\\ f(5)&252\\ f(6)&1512\\ \cline{1-2} \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Ccl%7Cll%7D%20%5Ccline%7B1-2%7D%20term%26value%5C%5C%20%5Ccline%7B1-2%7D%20f%281%29%26%5C%5C%20f%282%29%26%5C%5C%20f%283%29%267%5C%5C%20f%284%29%267r%5C%5C%20f%285%29%267rr%5C%5C%20%26252%5C%5C%20%5Ccline%7B1-2%7D%20%5Cend%7Barray%7D%5Cqquad%20%5Cqquad%207rr%3D252%5Cimplies%207r%5E2%3D252%5Cimplies%20r%5E2%3D%5Ccfrac%7B252%7D%7B7%7D%20%5C%5C%5C%5C%5C%5C%20r%5E2%3D36%5Cimplies%20r%3D%5Csqrt%7B36%7D%5Cimplies%20r%3D6%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Ccl%7Cll%7D%20%5Ccline%7B1-2%7D%20term%26value%5C%5C%20%5Ccline%7B1-2%7D%20f%281%29%26%5Cstackrel%7B%5Cfrac%7B7%7D%7B6%7D%5Cdiv%206%7D%7B%5Ccfrac%7B7%7D%7B36%7D%7D%5C%5C%20%26%5C%5C%20f%282%29%26%5Cstackrel%7B7%5Cdiv%206%7D%7B%5Ccfrac%7B7%7D%7B6%7D%7D%5C%5C%20%26%5C%5C%20f%283%29%267%5C%5C%20f%284%29%2642%5C%5C%20f%285%29%26252%5C%5C%20f%286%29%261512%5C%5C%20%5Ccline%7B1-2%7D%20%5Cend%7Barray%7D)
notice, once we know what the common factor "r" is, from the 3rd term we can simply multiply it by "r" to get the next term, and divide the 3rd term by "r" in order to get the previous term, namely the 2nd term, and then divide the 2nd by "r" to get the 1st one.