IV. If 80 persons are introduced to the product, determine the number of person who are expected to buy the product.

Q: 4. Suppose Pat has eight shirts and four pairs of pants. How many different outfits can Pat make by…

A: Every shirt combines with every pair of pants to make an outfit.  Shirt 1 creates an unique outfit…

Q: in how many ways can 5 children be arranged in a line for a photograph?

A:

Q: 38. How many different committees can be formed from 5 professors and 15 students if each committee…

A:

Q: In how many ways can 11 people be seated in a row?

A: There are 11 people to be seated in a row with 11 seats Assume that the first person chooses to sit…

Q: In how many ways can a committee men be formed from 8 people?

A: GIvenNo.of people(n) = 8

Q: Would you rather have $10,000,000 and a brand new BMW, or 1¢ today, 2¢ tomorrow, 4¢ on day 3, 8¢ on…

A: Option 1 is $10,000,000 and a brand new BMW   Option 2 is 1¢ on day 1, 2¢ on day 2, 4¢ on day 3, 8¢…

Q: if the browns plant 3/16 tomatoes, 1/4 cabbage, and 2/8 peppers, what fraction of their garden will…

A:

Q: How many ways can 12 students standing in a line be arranged if John must be first in line?

A:

Q: 4. A chef can prepare 20 different dinners. In how many ways can he select 6 of them for today's…

A: 4. Answer: In 38760 ways can he select 6 of them for today's menu out of 20.

Q: In how many ways can an adviser assign a different task to 9 students from a class of 15?

A: Here we need to assign a different task then we would use combination.   Combination formula: C(n,r)…

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

A:

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

Q: In how many ways can an advertising agency promote 12 items 6 at a time during a 12 - minute period…

A: Given that, n= 12 And = 6

Q: In how many ways can six books be lined up along a shelf?

A:

Q: In how many ways can 10 engineers be seated in a round table?

A: From the provided information, Total number of engineers = 10

Q: In a friend group of six, how many ways can we arrange them in a line for a photograph?

A: In a friend group of six, we have to arrange them in a line for a photograph.

Q: Question1:-If 6 seats are empty in a train box and two man entered in this coach than they seated…

A: Hi there! Thanks for the questions, since there are multiple questions we have solved the first…

Q: A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different…

A: Let, N be the number of different available plansFirst operation (choice of home design) can be…

Q: In how many ways can 6 different cupcakes be arranged in a circular stand?

A: The number of ways n items can be arranged in a circle is equal to n-1!. The formula for n! is…

Q: 3. The 2410 women undergraduates at the college comprise 54% of all undergraduates. How many…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3  Total shoes =4

Q: If 30.1 out of every 100 pregnant women in Indiana deliver their babies by C-section, how many…

A:

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: In how many ways can 5 people be seated in a circular table?

A: The given question is a multiple question, so as per the rule , we are doing only first question:…

Q: 1. A team of 17 softball players needs to choose three players to refill the water cooler

A:

Q: In how many ways can 6 bicycles be parked in a row?

A:

Q: 2. Af East Middle School, 28% of the students are in the band. If 168 students are in the band, then…

A:

Q: In how many ways can you arrange 4 people to be seated in a round table?

A:

Q: 4. How many ways can 10 different action figures or toy soldiers be arranged on a shelf?

A:

Q: 1. The population of the College of Business Administration has increased from 1, 260 to 1,440…

A: The population is increased from 1260 to 1440. Previous faculty number is 35.

Q: 4. The Recycling Club collected 196 cans on Monday, 248 on Tuesday, 205 on Wednesday and , 256 on…

A:

Q: d. If marbles from Bag C were drawn 10,000 times, about 600 red marbles are likely to be drawn. e.…

A: d. The number of red marbles are likely to be drawn from Bag C of 10,000 times is, Red…

Q: 5a. In a club consisting of 15 members, how many different ways can a 4-person committee where…

A: Determine the number of ways that a 4-person committee where everyone is considered equal. The…

Q: 36 is taken from a population

A:

Q: How many ways can five boys and five girls be seated alternately at a circular table?

A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…

Q: Miss Gray is handling a group of 10 children in a school for special children. In how many different…

A:

Q: 6. How many ways can my daughter put 50 pairs of shoes on 4 dolls ?

A: It is given that, We have 50 pairs of shoes and there are 4 dolls. We know that if n object can be…

Q: 2. How many 4 letter arrangements can be made from the letters MILKE D?

A: Explained below

Q: Suppose that a drama class has 22 students. a. In how many ways can four students be selected to…

A: a) We will select a group of 4 students from 22 students. So arrangement is not required. That means…

Q: b) two or three persons will make a purchase?

A: Here given 8 persons enter to super market  From past data 25% of entered people make purchase  Here…

Q: 11. How many 12-person juries can be made from a jury pool of 20 people?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How many ways can captain, co captain and team manager be assigned to a group of 10 runners at a…

A:

Q: your pizza, how many different pizzas can you order at Pizza Gut?

A: Pizza Gut sells only pizza. They offer five types of crust, five types of cheese, four meat toppings…

Q: Given 0, 2, 3, 4, 4, 5, 8, how many even numbers greater than 5 million can be created?

A: Here Given Numbers 0,2,3,4,4,5,8

Q: 43% of the students in a school are boys. If there are 399 girls in the school, what is the entire…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: 2. Forty students in a class took a Mathematics test. If 80% of the students passed the test, how…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: In how many ways can four children fall in line if the tallest be the last?

A: In how many ways can four children fall in line if the tallest be the last?

Q: 13. How many license plates consisting of two letters followed by two number repetition is allowed?

A: To find: the number of number plates.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.