Answered: In a city, the bus route numbers…

In a city, the bus route numbers consist of a natural number less than 100, followed one of the letters of the letters A, B, C, D, E, F, and G. How many different bus routes are possible?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 10ECP: In Example 10, the team must consist of six boys and six girls. How many different 12-member teams...

See similar textbooks

Related questions

Q: is the probability that all books within the same subject will be adjacent?

A: here total books 6+5+4+3 = 18 here use total arrangements

Q: There are 50. The teacher had only 20 free tickets for the Art Museum for this class. Therefore, the…

A: The intersection of two events indicate that two events are occurred simultaneously. If the two…

Q: Which of the following is true about the probability density function (pdf) of a continuous random…

A: We have given that the statement about to the probability density function of a continuous random…

Q: 56. Fishing The probability that a fisherman catches a tuna in any one excursion is .15. What is the…

A: Let X be the random variable from binomial distribution with probability (p) = 0.15 and sample size…

Q: onstruct the confidence interval for the population mean u. c= 0.95, x= 15.9, o = 5.0, and n= 100…

A: Given that Sample size n =100 Sample mean =15.9 Population standard deviation=5

Q: Two dice are rolled. Find the probability that first die lands on an even number and the second die…

A: The sample space of all the 36 possible outcomes for the two dice is shown below:

Q: Medical researchers developed a test that determines whether a person has a particular disease. The…

A: From the provided information, P (D’|N) = 0.91 and P (D|N’) = 0.79 P (N’) = 0.09

Q: cel File: data10-11.xlsx Sample 1 10 7 13 7 9 8 Sample 2 8 7 8 4 6 9 Compute the two sample means.…

A: From the given information we calculate confidence interval for two sample mean t test.

Q: Find a constant C such that p is a probability density function on the given interval and compute…

A: To find the value of C we will use the fact that the integration of pdf f(x) over whole range of X…

Q: Suppose that the weights of cats are normally distributed with an unknown mean and a standard…

A: Let population mean μ Standard deviations σ=2.3

Q: 3. True or false? а. The values of a continuous variable are arrived at by counting. b. A continuous…

A: Discrete Discrete data set is the data in which value is countable and finite. Example {1,2,3,4,6}…

Q: Application/ TIPS (must have numerical answers!) 12. The population of a school has the following…

Q: Two out of the following cities will be randomly selected for a feature in a travel show: milan, New…

Q: the bag and not replaced. If the number is even, a second disc is drawn from the Bag. If the IirSt…

A: here given, A bag contains seven discs, numbered from 1 to 7 inclusive. A disc is drawn at random…

Q: You wish to test the following claim (H.) at a significance level of a = 0.02. H.:µ = 53.1 Ha:µ +…

A: Given information Hypothesized mean µ = 53.1 Sample size (n) = 52 Mean M = 47.2 Standard deviation…

Q: Answer the following items by calculating the probability of committing an error. Given: u = 300, x…

A: Given information:- μ=300, x¯=290σ=25, n=35

Q: A 5 card hand is dealt from a standard 52-card deck. Then the cards are replaced, the deck is…

Q: An urn contains 7 white balls, 4 red balls, and 4 blue balls. What is the probability of selecting 9…

A: Given that An urn contains White balls = 7 Red balls = 4 Blue balls = 4 Total balls in urn = 7 + 4…

Q: The probability that a provincial bus departs on time is 0.4; the probability that it arrives on…

A: Solution

Q: As the manager of a hedge fund, your yearly investment strategy entails a large “left-tail” risk…

A: As the manager of a hedge fund, your yearly investment strategy entails a large “left-tail” risk…

Q: Out of 800 families with 4 children each, what percentage would be expected to have no girls? Assume…

A: From the provided information, There are 800 families with 4 children each. The probability of girl…

Q: Explain the meening of the following percentiles in parts (a) and (b). (a) The 5th percentile of the…

A: We have given that the statements about to the percentile. Here, need to find out the correct choice…

Q: "Time headway" in traffic flow is the elapsed time betvween the time that one car finishes passing a…

Q: 1. A wafer is randomly selected from a batch that is classified by contamination ane location.…

A: b. The probability that the wafer is in the center of sputtering tool is, Pcenter of sputtering…

Q: The weather channel reports that the chance of rain for the next 3 days is 40%. What is the…

A: A number of events are said to be independent if the probability of occurrence of any one of them is…

Q: In a group of 20 friends, 9 like pizza, 11 like coke and 5 like both. If you know someone in the…

A: Given that Total friends=20 Like pizza=9 Like coke=11 Like both=5

Q: 7 The population of a country follows a normal distribution with mean height 180 cm and standard…

A: Population mean μ=180, standard deviations σ=5 X be the population of the country X~N(μ=180, σ=5)…

Q: Use the spinner below. 12 1 11 2 10 3 4 8 7 5 6 P(>2) =

A: For the given data p(>2)=? p(odd number ) =?

Q: INSTRUCTION: EXPLAIN THE STEP BY STEP SOLUTION IN SENTENCES/PARAGRAPH. An adult rabbit's average…

A: Let X be the random variable from normal distribution with mean (μ) = 30 and standard deviation (σ)…

Q: I toss a coin 4 times, and let X be defined as the number of heads I observe. Find the range of X,…

Q: Show V(X)

A: The joint probability mass function of X and Y is f(x,y)=(x+y)/21 , x=1,2,3 and y=1,2

Q: Activity: Which events are independent? Determine whether the events are independent or dependent.…

A: Dependent events : The events which influence the probability of other events Independent events :…

Q: If the sample size is n = 2 and the population variance is o =7.75, what is the variance of the…

A: NOTE-AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION ONLY

Q: Test the claim that the mean GPA of night students is significantly different than 2.1 at the 0.01…

A: Given Population mean μ=2.1, level of significance ɑ=0.01

Q: 300 students were surveyed. 100 students from 3 different grades were identified and asked if they…

Q: Determine the following probabilites. Write your answer in the form given in the information in the…

A: It is given that the probability that a person will get the flu in a given year is 9%.

Q: For x = 1, 2, 3 and y = 1, 2, let the joint pmf of X and Y be defined by f X,Y (x, y) = (x+y)/21…

Q: Claim: The standard deviation of pulse rates of adult males is more than 10 bpm. For a random sample…

A: Givensample size(n)=175standard deviation(s)=10.9

Q: Probability: An Event and its Complement Determine the following probabilites. Write your answer in…

A: Given,The probability that a person will get the flu in a given year is 14%.

Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

A: It is given that n is 153 and p=0.22.

Q: A claim is made that employees work less than 15 hours/week, on average, at "Joe's Pretty-Good…

A: Given that A claim is made that the employee work less than 15 hours per week on average

Q: A teacher categorized students by whether they regularly completed their homework (or not) and…

A: Given that Completed homework Did not Completed homework Total Passed the course 23 8 31…

Q: Answer the problem involving permutations and combinations. SHOW YOUR SOLUTION. 1.) In how many…

A: (1) No.of senators selected in a committee,r = 6 Total no.of senators,n = 12 The no.of ways can…

Q: Avendor specializing in outdoor gear offers customers three ways telephone using a catalog. Of the…

A: Given Information: Of the total, one half i.e., 1/2 orders are made online. One quarter i.e., 1/4…

Q: For x = 1, 2, 3 and y = 1, 2, let the joint pmf of X and Y be defined by f X,Y (x, y) = (x+y)/21…

A: Given that The joint probability mass function of X and Y is f(x,y)=(x+y)/21 , x=1,2,3 and y=1,2…

Q: About 1% of the population has a particular genetic mutation. 500 people are randomly selected. Find…

A: For the given data find mean =?

Q: ur he amou of weght that mais onlegedents gan during thair freshman year are nomaly derued wth amean…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 7.1 inches,…

A: Mean(µ) = 7.1Standard deviations (σ) = 2.2X ~ N (µ, σ )= N (7.1, 2.2)

Q: Random Processes and Relative Frequency Part 1: A six sided die is rolled repeatedly. The possible…

A: Given that , A six sided die is rolled repeatedly. The possible equally likely outcomes are 1, 2, 3,…

Q: A company launches 15 products, and each of them hasa 40% chance of being profitabile in S years. If…

A: Given that n=15 , p=40%=0.40 , q=1-p=1-0.40=0.60 X~Binomial(n=15,p=0.40) X= Number of successful…

Question

K1. In a city, the bus route numbers consist of a natural number less than 100, followed one of the letters of the letters A, B, C, D, E, F, and G. How many different bus routes are possible?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The order of the two letters is not important.)
In Example 10, the team must consist of six boys and six girls. How many different 12-member teams are possible?
A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?
Eight people are going for a ride in a boat that seats eight people. One person will drive, and only three of the remaining people are willing to ride in the two bow seats. How many seating arrangements are possible?
License Plate Numbers In a certain state, each automobile license plate number consists of two letters followed by a four-digit number. To avoid confusion between “O” and “zero” and between “I” and “one,” the letters “O” and “I” are not used. How many distinct license plate numbers are possible in this state?