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Dmitry_Shevchenko [17]
4 years ago
8

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and n

oticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing
Mathematics
2 answers:
djverab [1.8K]4 years ago
6 0
2/20-w=3/20+w
40+2w=60-3w
5w=20
w=4mph
kipiarov [429]4 years ago
5 0
<span>Hint: let w=speed of wind in mph. Then 2/(20-w)=3/(20+w). Cross multiply and solve for w.</span>
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Step-by-step explanation:

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2 years ago
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Maslowich

Answer:

(\frac{88}{100})^{75} + \binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100}) + \binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}

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If a watch has fewer than three defects, then either 1.) It has no defects, 2.) it has exactly 1 defect, or 3.) it has exactly 2 defects.

1.) The probability that the watch has no defects is (\frac{88}{100})^{75}, because for every chime there is a probability of \frac{88}{100} that there is no defect

2.) The probability that the watch has exactly 1 defect is (\frac{88}{100})^{74}(\frac{12}{100}) times the number of ways you can choose 1 of 75 of the chimes to be defective, which is \binom{75}{1}, so the probability that the watch has exactly 1 defect is \binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100}).

3.) For the same reason as 2.), the probability that the watch has exactly two defects is \binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}

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