You can find the answer with the steps in the app(cymath)
The answer to this question is 2.
Assignment: ![\bold{Find \ Area \ Of \ Figure}](https://tex.z-dn.net/?f=%5Cbold%7BFind%20%5C%20Area%20%5C%20Of%20%5C%20Figure%7D)
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Answer: ![\boxed{\bold{532 \ M^{2} }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7B532%20%5C%20M%5E%7B2%7D%20%7D%7D)
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Explanation: ![\downarrow\downarrow\downarrow](https://tex.z-dn.net/?f=%5Cdownarrow%5Cdownarrow%5Cdownarrow)
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[ Step One ] Find Base And Height Of Square
Note: ![\bold{Area \ Of \ Square: \ Base \ \cdot \ Height}](https://tex.z-dn.net/?f=%5Cbold%7BArea%20%5C%20Of%20%5C%20Square%3A%20%5C%20Base%20%5C%20%5Ccdot%20%5C%20Height%7D)
![\bold{Base \ = \ 18}](https://tex.z-dn.net/?f=%5Cbold%7BBase%20%5C%20%3D%20%5C%2018%7D)
![\bold{Height \ = \ 18}](https://tex.z-dn.net/?f=%5Cbold%7BHeight%20%5C%20%3D%20%5C%2018%7D)
[ Step Two ] Multiply
![\bold{18 \ \cdot \ 18 \ = \ 324}](https://tex.z-dn.net/?f=%5Cbold%7B18%20%5C%20%5Ccdot%20%5C%2018%20%5C%20%3D%20%5C%20324%7D)
[ Step Three ] Interpret Base & Height Of Large Triangle
![\bold{Base \ = \ 18}](https://tex.z-dn.net/?f=%5Cbold%7BBase%20%5C%20%3D%20%5C%2018%7D)
![\bold{Height \ = \ 16}](https://tex.z-dn.net/?f=%5Cbold%7BHeight%20%5C%20%3D%20%5C%2016%7D)
[ Step Four ] Find Area Of Triangle
Note: ![\bold{Area \ Of \ Triangle: \ \frac{1}{2}Base \ \cdot\ Height}](https://tex.z-dn.net/?f=%5Cbold%7BArea%20%5C%20Of%20%5C%20Triangle%3A%20%5C%20%5Cfrac%7B1%7D%7B2%7DBase%20%5C%20%5Ccdot%5C%20Height%7D)
[ Step Five ] Solve
![\bold{9 \ \cdot \ 16 \ = 144}](https://tex.z-dn.net/?f=%5Cbold%7B9%20%5C%20%5Ccdot%20%5C%2016%20%5C%20%3D%20144%7D)
[ Step Six ] Find Base & Height Of Smaller Triangle
![\bold{Base \ = \ 8}](https://tex.z-dn.net/?f=%5Cbold%7BBase%20%5C%20%3D%20%5C%208%7D)
![\bold{Height \ = \ 16}](https://tex.z-dn.net/?f=%5Cbold%7BHeight%20%5C%20%3D%20%5C%2016%7D)
[ Step Seven ] Multiply
![\bold{4 \ \cdot \ 16 \ = 64}](https://tex.z-dn.net/?f=%5Cbold%7B4%20%5C%20%5Ccdot%20%5C%2016%20%5C%20%3D%2064%7D)
[ Step Eight ] Add
![\bold{324 \ + \ 144 \ + \ 64 \ = \ 532}](https://tex.z-dn.net/?f=%5Cbold%7B324%20%5C%20%2B%20%5C%20144%20%5C%20%2B%20%5C%2064%20%5C%20%3D%20%5C%20532%7D)
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Answer: 0.26
Step-by-step explanation:
Binomial probability formula :-
, where P(x) is the probability of getting success in x trials , n is total number of trials and p is the probability of getting success in each trial.
Given : The probability of winning = ![\dfrac{1}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B6%7D)
Let X be the random variable that represents the number of sodas.
Since he is guaranteed that he will win one soda .
If Cody buys 6 sodas, then the probability that he will win at least one more soda will be :
![P(x\geq2 )=1-(P(0)+P(1))\\\\=1-(^6C_0\ (\dfrac{1}{6})^0\ (1-\dfrac{1}{6})^{6-0}+^6C_1\ (\dfrac{1}{6})^1\ (1-\dfrac{1}{6})^{6-1})\\\\=1-((\dfrac{5}{6})^6+(\dfrac{5}{6})^5)\approx0.26](https://tex.z-dn.net/?f=P%28x%5Cgeq2%20%29%3D1-%28P%280%29%2BP%281%29%29%5C%5C%5C%5C%3D1-%28%5E6C_0%5C%20%28%5Cdfrac%7B1%7D%7B6%7D%29%5E0%5C%20%281-%5Cdfrac%7B1%7D%7B6%7D%29%5E%7B6-0%7D%2B%5E6C_1%5C%20%28%5Cdfrac%7B1%7D%7B6%7D%29%5E1%5C%20%281-%5Cdfrac%7B1%7D%7B6%7D%29%5E%7B6-1%7D%29%5C%5C%5C%5C%3D1-%28%28%5Cdfrac%7B5%7D%7B6%7D%29%5E6%2B%28%5Cdfrac%7B5%7D%7B6%7D%29%5E5%29%5Capprox0.26)
Hence, the true probability he will win at least one more soda =0.26