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Korolek [52]
3 years ago
5

The formula c = 5p + 220 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to p, the number of

people attending. If Allie's parents are willing to spend $345 for a party, how many people can attend? The number of people that can attend the party is​
Mathematics
1 answer:
denis23 [38]3 years ago
5 0

Answer:

25 people

Step-by-step explanation:

c = 5p + 220

345 = 5p + 220

-220          -220

125 = 5p

/5       /5

25 = p

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The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
Elis [28]

Answer:

84.13% probability a particular tire of this brand will last longer than 57,100 miles

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 60000, \sigma = 2900

What is the probability a particular tire of this brand will last longer than 57,100 miles

This is 1 subtracted by the pvalue of Z when X = 57100. So

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

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