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Chapter 6: Problem 8

a. A random check of 150 Southwest Air flights last month identified 127 of them that arrived on time. What on-time percent does this represent? b. Write the ratio of late arrivals to on-time arrivals verbally and as a fraction.

Short Answer

Expert verified
Answer: The on-time percentage for Southwest Air flights is 84.67%. The ratio of late arrivals to on-time arrivals is 23 to 127 or \(\frac{23}{127}\).

Step by step solution

01

Find the number of flights that arrived on time

We are given that out of 150 flights, 127 flights arrived on time.
02

Calculate the on-time percentage

Divide the number of flights that arrived on time by the total number of flights and multiply the result by 100. On-time percentage = \(\frac{127}{150} \times 100\) On-time percentage = \(84.67 \%\)
03

Find the number of late arrivals

Subtract the number of flights that arrived on time from the total number of flights. Late arrivals = Total flights - On-time flights Late arrivals = 150 - 127 Late arrivals = 23
04

Write the ratio of late arrivals to on-time arrivals verbally and as a fraction

To find the ratio of late arrivals to on-time arrivals, divide the number of late arrivals by the number of on-time arrivals. Ratio = Late arrivals : On-time arrivals Ratio = \(\frac{23}{127}\) The ratio of late arrivals to on-time arrivals is 23 to 127 or \(\frac{23}{127}\).

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