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ZanzabumX [31]
3 years ago
10

Miguel score 35 fewer points in second bowling game than his first game his total score for the two games was 395 how many point

s did he score in each game? (plz show step by step)
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0
So, let's say he scored "a" points in his first game. and "b" on the second.

his second game's score "b", and it was 35 fewer points, so is b=a - 35.

we also know that the total score for both games was 395, thus

\bf \begin{cases}
a+\boxed{b}=395\\
a+\boxed{a-35}=395
\end{cases}
\\\\\\
2a-35=395\implies 2a=395+35\implies 2a=430\implies a=\cfrac{430}{2}
\\\\\\
a=215

how many did he score in the second game?  well, b = a - 35.
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Answer:

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Step-by-step explanation:

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Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

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P ( X < a) = P (X-u/o < a - u/o) = 0.9

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And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

3 0
2 years ago
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