A certain long serving politician is careful to make 3 1/3 true statements for every lie he tells, checking his speeches very carefully and adding enough true statements to maintain this ratio. If a particular speech has 156 statements in it, how many are lies?

Q: In how many different ways can five teaching assistants be assigned to five sections of a course in…

A: It is given that 5 teaching assistants have to be assigned for 5 sections of a statistics course.…

Q: .On a particularly boring transatlantic flight, one of the passengers amused himself by counting the…

A: let B: black haired Let W :  whole row n(B ∪ W) = 37n(B) =33n(W) = 6

Q: If I have 3,493 points, right now, and I get 320 points every day, and I want to get 27,650 points,…

A: We have to find number of months to achieve 27650 points.

Q: One common system for computing a grade point average​ (GPA) assigns 4 points to an​ A, 3 points to…

A: The information is provided as:

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

A:

Q: A certain long serving politician is careful to make 3 true statements for every lie he tells,…

A: For every false statement, the politician makes 313=103 true statements.   Thus for x number of…

Q: Suppose 84% of students chose to study Spanish their junior year, and that meant that there were 378…

A: Then,

Q: A car insurance company claims that 92% of its customers are happy with their service. You randomly…

A: Given,   The sample proportion is,

Q: A person is 4 years old and his sister is half his age, so if this person is a hundred years old,…

A: Given: Age of the person = 4 years Age of the sister = 2 years (half of that of person's age)…

Q: A manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs. If 5% bulbs are…

A: It is given that a manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs.…

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: 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: The average age of a group of students is 12 years old. There are only 11-year- olds and 14-year…

A:

Q: A survey of American households found that 1/4 had a land line, 7/12 had cable, and 1/3 had neither.…

A: It is an important part of statistics. It is widely used.

Q: OProve that'

A:

Q: d.If the true percentage is 10% and this obstetrician has 146 pregnant women under his care, how…

A: Here we have two types of outcomes viz. the pregnant woman will deliver prematurely or not. The…

Q: In a class of 210 students, 60 students drink coffee only, 100 drink tea only and 180 drink either…

A:

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

A:

Q: You ask 300 people if they have served food to their friends that they have dropped on the floor.…

A: Given Information: You ask 300 people if they have served food to their friends that they have…

Q: How many different tests each with 15 questions can be constructed from a test blank containing 32…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements (order…

Q: In how many ways can a student choose to do 5 questions out of 11 on a test?

A: The question is based on permutation. We need to find the number of ways a student can choose 5…

Q: What is the sum of number 10 to 40?

A:

Q: In how many ways can twenty 1000-peso bills be given away to four of ten people where each of the…

A:

Q: A student is to answer 7 out of 9 questions on a midterm test. i) How many examination selections…

A: i) Given that there are total 9 questions and he has to select 7 questions. So the total number of…

Q: What is the correct conclusion?

A:

Q: vendor sells twenty-four sweatshirts for $15 each, fifty-one t-shirts for $10 each, and thirteen…

A:

Q: The golden ratio is commonly called the Greek ratio. O True O False

A:

Q: If repetitions are not permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many 4- digit number…

A:

Q: How many students were included in the collection?

A:

Q: A pattern has 4 blue triangles to every 12 yellow triangles. What is the ratio of blue triangles to…

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Q: How many blocks are needed to build an​ up-down-up staircase with 5 steps up and 5 steps​ down?

A: To solve the given problem

Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

A:

Q: I need help with this problem

A: To determine the number of students in the class.

Q: The average age of the students in Class A is more than 11 years old. If ten out of the eleven…

A:

Q: One common system for computing a grade point average​ (GPA) assigns 4 points to an​ A, 3 points to…

A: Note: Hi there! Thank you for posting the question. Seems like your question has repeated numbers in…

Q: In a certain company 80 of the employees are men. What is the total number of employees if 5 out of…

A: given In a certain company 80 of the employees are men. To Determine the total number of employees…

Q: If the cube had only been rolled 50 times, how many times would you expect a shm GREATER than 9 to…

A: From the table, we see that the sum of greater than 9 rolled (11+4+3)=18 times. In the table total…

Q: Can you do this problem?

A: Given:Number of paintings are (n) = 9.Number of paintings selected to hang side by side in a gallery…

Q: Given that the total household is 2000, suppose there are 50 missing values for electric usage…

A: total household is 2000, suppose there are 50 missing values for electric usage reading before and…

Q: one group (a) contains 510 people. one third of the people in group a will be selected to win $50…

A:

Q: In order to develop a more appealing​ cheeseburger, a franchise uses taste tests with 9 different​…

A: GivenTotal types of buns = 9Total types of Cheeses = 4Total types of Lettuces = 3Total types of…

Q: How many numbers that the thief could try would be accepted as valid?

A: Given that the PIN consists of 4 digits. Note that for each digit, there are 10 possible choices,…

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: Aaron had 7 tims as many sheep as Beth, and both together had 608. Howmany sheep had each?

A: Let number of sheep Beth had = x Number of sheep Aaron had = 7x

Q: here are 5 new books and 9 used books on a shelf.   (a) What is the ratio of new books to all…

A: Ratio is a type of continuous scale measure. It has two parts, they are numerator and denominator.…

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: If Baby 1 gains 1.2kg in one month, and Baby 2 gains 400g in one month, then what is the ratio of…

A: If Baby 1 gains 1.2kg in one month, and Baby 2 gains 400g in one month, then we have to find the…

Q: neither an iPhone nor an iPad. Twenty percent use an iPhone, while thirty percent use an iPad. How…

A: