The U.S. Senate has 100 members. For a bill to pass with a supermajority, at least twice as many senators must vote in favor of the bill as vote against it. If each of the 100 senators votes either in favor of or against a bill, how many must vote in favor for it to pass with a supermajority? (Round your answer to the nearest whole number.) at least  senators

Q: A Broadway theater has 800​seats, divided into​ orchestra, main, and balcony seating. Orchestra…

A: x= number of orchestra​ seats y= number of main​ seats z= number of balcony seats

Q: In a football league, each team plays each of the other teams twice during the season, once at home…

A: Here we will going to use basic concept of Combination.

Q: A Broadway theater has 500​seats, divided into​ orchestra, main, and balcony seating. Orchestra…

A: Solution:-        given→A Broadway theater has 500 seats divided into…

Q: An appropriations bill passes the U.S. House of Representatives with 59 more members voting in favor…

A:

Q: McBurgerQueen fast food company had 2350 burger stores in 2012.  Due to bad service and lousy…

A:

Q: In a recent international sports​ competition, the top three countries—Country A, Country​ B, and…

A:

Q: A toy manufacturer estimate that 6% of its products are defective. If 550 toys are produced in one…

A:

Q: If you expect to have four times as many women (compared to men) at a 20-person Emergency Room…

A:

Q: Find the number of bags of 103 pieces of vegetables that can be made out of carrots, tomatoes,…

A: Consider the given Number of carrots in the bag=even Number of tomatoes  in the bag=multiple of 5…

Q: An egg-packaging factory can package eggs in cartons that hold 12 eggs or in cartons that Kold…

A: Given: Smaller cartons can hold 12 eggs. Larger cartons can hold 18 eggs. To pack 5,616 eggs in…

Q: An international company has 25,100 employees in one country. If this represents 16.8% of the…

A: We can solve the given problem by using the concept of percentage.

Q: In a certain year, there were 82 female officials in Congress, which is comprised of the House of…

A: Let there were x female senators. Since, there were 50 more female members of the house of…

Q: s owned at least two. The U.S. Census Bureau tells us that there were 117 million households in…

A:

Q: Poker tournament rules state that 10% of those who pay the entry fee will finish in the money. If…

A: It is given that, according to poker tournament rules 10% of those who pay the entry fee will finish…

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: The given question requires number of pairs between two teams. Note that if team A and team B are…

Q: A president, vice president, and 3 at-large members are selected for a school council from 9 people.…

A: Given that president, vice president and 3 at-large members are selected from 9 people.   Number of…

Q: Only 30% of teams beat The Great Escape Challenge. If 15 teams beat the challenge, how many teams…

A: It is given that 15 teams beat the challenge, which is the 30% of the teams that played The Great…

Q: An appropriations bill passes the U.S. House of Representatives with 101 more members voting in…

A:

Q: On a multiple-choice quiz of 25 questions, a correct answer is awarded 4 points and an incorrect…

A:

Q: A new restaurant is to contain four-seat booths and three-seat round tables. Fire codes limit the…

A: let x be number of  four seat booths and y be number of 3 seat tables. according to question,…

Q: A Broadway theater has 490 seats, divided into orchestra, main, and balcony seating. Orchestra seats…

A:

Q: If there are 10 multiple-choice questions on an exam, each having three possible answers, how many…

A: From the provided information, There are 10 multiple-choice questions on an exam. Each question has…

Q: A president, vice president, and 2 at-large members are selected for a school council from 7 people.…

A: It is given that 4 persons (a president, vice president, 2 at-large members) are selected for a…

Q: In a recent international sport competition, the top three countries-Country A, Country B, and…

A: Country A, Country B, and Country C- won a total of 123 Country B won 7 more medals than Country C.…

Q: The number of ways a team of 2 players can be chosen out of 6 players is

A: Our Aim is to tell the number of ways a team of 2 players can be chosenout of 6 players is ____

Q: in a hospital, there are 8 nurses and 4 doctors. a committee of 3 nurses and 2 doctors is to be…

A: Given information: Number of nurses = 8 Number of doctors = 4 Committee of 3 nurses and 2 doctors is…

Q: Broadway

A: Please refer to the image below

Q: In a volleyball league consisting of 10 teams, each team plays each of the other teams exactly…

A: As per our guidelines we are supposed to answer only one question at a time..So I am solving the…

Q: A pottery studio gives three- hour and four- hour ceramics classes for $49 an hour. If the studio…

A:

Q: The U.S. House of Representatives has 435 members. If an appropriations bill passes the House with…

A: Member in favor =51 more than the member in against, Total members = 435

Q: The best sports dorm on campus, Lombardi House, has won a total of 11 games this semester. Some of…

A: lets assume : number of soccer game won= x  number of football game won= y

Q: A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats…

A:

Q: In a recent international sport​ competition, the top three countrieslong dash Country ​A, Country​…

A:

Q: A president, vice president, and 2 at-large members are selected for a school council from 10…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: If a machine can produce 2,550 metal parts in 7 ½ hours, how many hours would it take the machine to…

A: 2550 = 7 12 hrs converting hours to minutes 7 12 hrs= 450 mins 2550 metal parts=450 mins 1 metal…

Q: In a particular year, a total of 47,933 students studying and two of the most popular host countries…

A: Given Total students of two most popular host countries = 47,933

Q: From a group of 8 junior employees and 4 senior employees, how many different teams of four can be…

A:

Q: while selecting candy for his students,Professor Murphy must choose between gummy candy and licorice…

A: Alternative 1: Choose gummy candy. Step 1: Choose a size. Since there are 5 sizes, Step 1 has 5…

Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

A: Given (1) Gummy candy packets come in  sizes=5  (2)packets of licorice nibs come in sizes= 4

Q: There are five action, three drama, and four comedy films showing at a local  mall. If Phoebe goes…

A:

Q: According to the Census​ Bureau, there are​ 328,239,523 people in the United States and​ 38,732,263…

A: n = 328,239,523 x = 38,732,263

Q: student club consists of 10 freshmen and 7 sophomores. How many different six-person committees can…

A:

Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

A: First of all, Professor Murphy has to select between gummy candy and licorice nibs.

Q: A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all,…

A:

Q: The number of ways a team of 2 players can be chosen out of 6 players is ______________

A: given a team of 2 players can be chosen out of 6 players and we have to find the numbers of ways…

Q: new restaurant is to contain six-seat booths and three seat round tables. Fire codes limt the…

A:

Q: In recent election Corrine Brown recurved 13,616 more votes than Bill Randall. If the total number…

A: Explanation of the answer is as follows

Q: A company has recently been hiring new employees. Today the company has 35% more employees than it…

A:

Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.