Construct a grouped frequency distribution for the data. Use 41​ - 45 for the first class and use the same width for each subsequent class.   Type the frequency value for each class.   Age Frequency ​41-45 ________

Q: A new line of pens comes in 9 color options and 9 possible tips (fine, medium, etc.). How many…

A: See the detailed solution below.

Q: ass-code is either a sequence containing a digit followed by 3 letters or a sequence containing 2…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: Telephone area codes are three-digit numbers of the form XXX. Originally, the first and third…

A:

Q: In how many ways is it possible to elect a president, a vice-president, a treasurer, and a secretary…

A: Given Data: The total number of members in the club is: n=43 From the given club a president, a…

Q: A ballroom is full of people (say more than 200). What is the least number of people that you must…

A:

Q: True or False: In a group of fifty (50) people, there must be at least 5 people who were born in the…

A: True or False: In a group of fifty (50) people, there must be at least 5 people who were born in the…

Q: how can the children in ms. varner's class tell if there is an even or odd number of children in the…

A: The children's are :

Q: word is made from the following nine letters (m,a,t,h,i,s,f,u,n). How many different four letter…

A:

Q: Five country CDs and four rap CDs are to be placed in a display window. How many ways can they be…

A: The CDs are to be placed by category. there are 2 categories Country CD and Rap CD. therefore, the…

Q: In the 2012 presidential election, a total of 7,867,867 votes were cast in a certain state for…

A:

Q: Suppose a set of 8 numbers are selected from the set: {1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13;…

A: It is given that 8 numbers are selected from the set 1,2,3,4,5,6,7,8,9,10,11,12,13,14.

Q: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10. a. How many…

A: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10.   a. Number of…

Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

A:

Q: As of 2011, the following are the ages at which a country's presidents were inaugurated. 68, 43, 45,…

A:

Q: If six black, five red, four white, and two green disks are to be arranged in a row, what is the…

A: Permutation: the permutation is determining the number of possible arrangements in a set when the…

Q: Show that if there are 8 people in a room, then at least two of them must have been born on the same…

A: There are 7 days in a week.  So we can have 7 people who can have different birthdays from Sunday to…

Q: Is the set O of all odd counting numbers (1, 3, 5… ) closed for multiplication? Why or why not?

A:

Q: How many ways are there to select a set of 4 U.S. s

A: A combination is a mathematical technique that determines the number of possible arrangements in a…

Q: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose a…

Q: Let S={1,2,3,4,5,6,7,8,9,10,11}   How many subsets contain at least one odd number?

A:

Q: How many people must be chosen to be certain that at least two of them will have a. A birthday on…

A: To solve the problem, we use Pigeonhole principle.Pigeonhole principle: If there are more pigeons…

Q: In a certain​ country, area codes have three digits and are subject to the following restrictions.…

A: The total number of digits from 0 to 9 is 10.

Q: 33 56 75 98 45 67 51 41 30 11 10 29 26 35 33 53 64 79 41 87 84 20 21 43 75 56 68 42 23 38 41 69 61…

A: First we enter the given data in Excel sheet then we arrange the data in ascending order.  And…

Q: 2) A car dealership offers a particular model in 3 trim levels, 5 colors, and 2 different interiors.…

A: We have to find nom of ways to make car model.

Q: In how many ways can the judges in the Miss USA pageant choose the American representatives to the…

A: The number of ways can the judges in the Miss USA pageant choose the American representatives to the…

Q: A class has 11 students. What is the probality that exactly 4 of the students were born on a weekday…

A: We have to find given probability.

Q: An ATM personal identification number (PIN) consists of four digits, each a 0, 1, 2,… 8, or 9, in…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Suppose that there are 27 students in discrete mathematics class. Show that the class must have at…

A: Here we solve this question by contradiction.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.