/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 31. Taxi! In 2016, taxicabs in Los A... [FREE SOLUTION] | 魅影直播

魅影直播

Log out

Learning Materials

Features

Discover

Chapter 2: Q 31. (page 108)

Taxi! In 2016, taxicabs in Los Angeles charged an initial fee of \(2.85 plus \)2.70 per mile. In equation form, Fare=2.85+2.7(miles). At the end of a

month, a businessman collects all his taxicab receipts and calculates some numerical

summaries. The mean fare he paid was \(15.45with a standard deviation of \)10.20What are the mean and standard deviation of the lengths of his cab rides in miles?

Short Answer

Expert verified

Mean in miles, 渭mi.=4.6667miles

Standard deviation in miles,蟽mi.=3.7778miles

Step by step solution

01

Given information

Fare=2.85+2.7(miles)

Mean, 渭$=$15.45

Standard deviation,SD$=$10.20

02

Calculation

To get the number of miles from the fare, we must first reduce it by 2.85 and then divide the result by 2.7

Since

Fare=2.85+2.7(miles)

That becomes

miles=Fare鈭�2.852.07

Mean :

Because the mean represents the measurement's centre.

When each data value is reduced by 2.85 the measurement's centre is similarly reduced by 2.85

Similarly,

When all data values are divided by 2.7, the measurement's centre is likewise divided by 2.7

Then

The new standard deviation

蟽mi.=蟽$2.7=10.202.7鈮�3.7778miles

Thus,

The standard deviation of the length of the cab ride in miles is 3.7778 miles.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 魅影直播!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Normal highway driving? The dot plot shows the EPA highway gas mileage estimates in miles per gallon (mpg) for a random sample of 21 the model year 2018 midsize cars.11 Explain why this distribution of highway gas mileage is not approximately Normal.

Comparing batting averages Three landmarks of baseball achievement are Ty Cobb鈥檚 batting average of 0.420 in 1911, Ted Williams鈥檚 0.406 in 1941, and George Brett鈥檚 0.390 in 1980 These batting averages cannot be compared directly because the distribution of major league batting averages has changed over the years. The distributions are quite symmetric, except for outliers such as Cobb, Williams, and Brett. While the mean batting average has been held roughly constant by rule changes and the balance between hitting

and pitching, the standard deviation has dropped over time. Here are the facts:

Find the standardized scores for Cobb, Williams, and Brett. Who had the best performance for the decade he played?

Household incomes The cumulative relative frequency graph describes the distribution of median household incomes in the 50 states in a recent year.

a. The median household income in North Dakota that year was $55,766Is North Dakota an unusually wealthy state?

b. Estimate and interpret the 90th percentile of the distribution.

Travel time (1.2) The dot-plot displays data on students鈥� responses to the question 鈥淗ow long does it usually take you to travel to school?鈥� Describe the distribution.

Step right up! A dot plot of the distribution of height for Mrs. Navard鈥檚 class is shown, along with some numerical summaries of the data.

Suppose that Mrs. Navard has the entire class stand on a 6-inch-high platform and then asks the students to measure the distance from the top of their heads to the ground.

a. What shape would this distribution of distance have?

b. Find the mean and median of the distribution of distance.

c. Find the standard deviation and interquartile range (IQR) of the distribution of distance.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.