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Dmitriy789 [7]
3 years ago
8

For every 140 feet that kelly rides on her bicycle, the wheels turn 20 times. About how many times do the wheels turn in 5 miles

? ( 1 mile = 5,280 feet)​
Mathematics
2 answers:
daser333 [38]3 years ago
8 0

Answer:

3771

Step-by-step explanation:

o-na [289]3 years ago
6 0

Answer:

Approximately 3771 times

Step-by-step explanation:

Let x be the number of times the wheels turn in 5 miles.

Given that, 1mile = 5,280ft

Thus, 5 miles=5 × 5,280ft=26400ft

From the question ,we can deduce the following ratios :

140 ft : 20 mins

26400ft : x

Cross multiply;

\implies  \: x \times 140 = 26400 \times 20

\implies140x =528000

Divide through by 140.

\implies \frac{140x}{140} =  \frac{528000}{140}

\implies  x=3771.43

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A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
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Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

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Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

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