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dybincka [34]
3 years ago
8

Steve got his car fixed for $557. After taxes it cost him $594. What was the tax rate to the nearest %?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0
You're nearly there. Just some more steps.
557 * x = 594 tells us 
x = 594 / 557 (divide both sides by 557)
x ≈ 1.066427

When we've found this number we must realise the following:
the '1' in this answer is the 100% the car fixing costs (without taxes)
the '0.66427' stands for the tax rate.

To find the tax rate we multiply 0.66427 by 100, which gives us:
0.66427 * 100 = 6.6427 ≈ 7

So, rounded to the nearest %, the tax rate is 7%
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5/4324 = 0.001156337

Step-by-step explanation:

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Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}

Now compute each combination separately:

\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700

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\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

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