Basic Math question and answers for August 21, 2024
- Q Tristin is attempting to divefrom an 8 foot diving boardinto a tube that is located12 feet from the base of thediving board. What should behis angle of depression toensure he...
- Q Two persons are to run a race, but one can run 11 meters per second, whereas the other can run 6 meters per second. Ifthe slower runner has a 55-meter...
- Q From a hot-air balloon, Jace measures a 31 angle of depression to a landmark that's331 feet away, measuring horizontally. What's the balloon's vertical distance abovethe ground? Round your answer to...
- Q Josue leans a 26-foot ladder against a wall so that it forms an angle of 80 with theground. How high up the wall does the ladder reach? Round your answer...
- Q A man on the deck of a ship is 14 ft. above water level. He observes that the angle ofelevation of the top of a cliff is 40 and the...
- Q The angle of elevation from aship to the top of a 42-meter lighthouse onthe shore measures 33. How far is the shipfrom the shore? (Assume the horizontal line ofsight meets...
- Q GRIDDED RESPONSE To approach runway 17 ofthe Ponca City Municipal Airport in Oklahoma, the pilotmust begin a 3 descent starting from a height of 2714 ftabove sea level. The airport...
- Q A boat is heading towards a lighthouse, whosebeacon-light is 110 feet above the water. Theboat's crew measures the angle of elevation tothe beacon, 7. What is the ship's horizontaldistance from...
- Q The family trip to Grandma's consisted of both a train ride and a car ride. The average speed of the train ride was 68 miles per hour, and the average...
- Q A lottery system uses six digits The possible entries in these digits are the numbers 1 2 3 4 or letters n m o q s w and z The...
- Q Suppose 13 people qualify for a college cheerleading squad five women and eight men How many six member squads can be selected if exactly two of the members are male...
- Q Shelby does a probability experiment She spins this spinner and then filps a coin Green Yellow Purple Red Which list shows all the possible outcomes OA Green Heads Blue Heads...
- Q The owner of Brookstone coffee has 13 regular full time employees 7 are female and 6 are male As he plans the schedule he likes to ensure exactly two employees...
- Q For her show Outfront Alicia can air 2 segments If she has 14 segments to select from in how many ways can she arrange the segments for her show 91...
- Q Ms Bell s mathematics class consists of 13 sophomores 6 juniors and 11 seniors How many different ways can Ms Bell create a 5 member committee of seniors if each...
- Q B Guests at a wedding have an appetizer choice of soup or a salad an entr e choice of chicken steak or vegetarian then a dessert choice of vanilla or...
- Q There are 30 students in a high school senior class. In how many ways could the yearbook choose the winners of Most Athletic, Class Clown, and Best School Spirit?
- Q Customer account "numbers" for a certain company consists of 4 letters followed by 3 single-digit numbers. How many different account numbers are possible if repetitions of letters and digits are...
- Q In a high school basketball team there are 12 students competing to start a game. If 5 students can be chosen to start a game, how many different starting lineups...
- Q Please show all the work that you go through in order to complete the problems.1. As part of an exercise in an elementary school reading class, the students are given...
- Q For a certain website, your password must be 10 digits long. If the first 8 digits are any numbers and the last 2 digits are any lower case letters, how...
- Q How many different license plates can the State of lowa produce if the requirements are asfollows: 5 slots The first two slots are for letters. The next three slots are...
- Q There were 24 students running in a race. How many different arrangements of first, second, and third place are possible?
- Q A combination for a keypad is 6 digits long. The digits are from 0-9. The same digits MAYNOT be used more than once. How many different combinations are there?541,000,00060151, 200
- Q A lock has a 3-number code made up of 20 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers...
- Q Lorena has a bag containing 5 marbles of different colors to use for a statistics experiment. She asks a person to pull out 2 marbles, one at a time, without...
- Q (6 points) This test contains a total of 7 multiple choice questions, and each multiple choice question features 5 possible answers. (Someone guessing all "a's." for example, would have a...
- Q In 2010, the state of Nevada had two area codes. The first three are the area code and the next seven are the local telephone number. (Note that at this...
- Q In Pennsylvania, each standard automobile license plate number consists of three letters followed by a four-digit number. How many distinct Pennsylvania license plate numbers can be formed?
- Q How many three digit numbers can beformed under each condition?a) The leading digit cannot be 0.b) The leading digit cannot be 0 and norepetition of digits is allowed.c) The leading...
- Q Evaluate 6C310201815
- Q A college student is preparing a course schedule for the next semester. The student must select one of two mathematics courses, one of three science courses, and one of five...
- Q Simplify 7!/3!(7-3)!22120.5835
- Q How many code symbols can be formed using 3 out of 7 letters of A, B, C, D, E, F, G if the letters:a) are not repeated?b) can be repeated?c)...
- Q Twelve students entered an essay contest in which the winner gets $500, second place gets $200, and third place gets $100. How many ways are there to rank the students...
- Q (ii) How many groups of nine can be chosen that contain at least one man?As in Example 9.5.7b, consider the relationship between the set of groups that consist entirely of...
- Q Explain how you know when a scenario describes a permutation situation versus a combination situation.Give an example of a permutation scenario not mentioned in this lesson.
- Q A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at random, what is the probability that exactly 5 of them...
- Q Padlocks with digit dials are often referred to as "combination locks" According to the mathematical definition of combination, is this an accurate description? Explain.A combination is a subset of objects...
- Q A bag contains 5 red and 5 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty. Find the probability that the red...
- Q A license plate is to consist of 2 letters followed by 3 digits. Determine the number of different license plates possible if repetition of letters and numbers is permitted.650,000468,000676,0006,760,000
- Q How many ways can five people can be seated around a circular table if Dave is always immediately to the right of Pete?
- Q How many ways can twelve numbers be arranged around a circle?
- Q The combination to a lock consists of a sequence of three numbers in the range 0-42.a) How many combinations are possible in which no two consecutive numbers can be the...
- Q a) How many plates are possible when letters and numbers can repeat? Set up the expression that can be used to calculate the number of plates that are possible when...
- Q Radio stations in a certain country use a sequence of 4 or 5 letters as their station identification call letters. The first letter must be W, P, A, or Q....
- Q Glenn and Kim are members of a comedy troupe that has 11 members in all. How many ways can the 11 members line up if Glenn and Kim must stand...
- Q An automobile designer is considering three body designs, five hood designs, and three fender designs. How many models would be required to show all possible ways of combining the designs?454211
- Q A man has 4 shirts and 3 ties. How many different shirt and tie arrangements can he wear?
- Q CONSTRUCTING A TEST- A TEACHER IS CONSTRUCTING A MATHEMATICS TESTCONSISTING OF 10 QUESTIONS. SHE HAS A POOL OF 28 QUESTIONS, WHICH ARECLASSIFIED BY LEVEL OF DIFFICULTY AS FOLLOWS: 6 DIFFICULT...
- Q Evaluate the expression without using a calculator.7!/3!(7-3)!The answer is __(Type an integer or a simplified fraction.)
- Q Suppose there is a list of fifteen jokes about marriage and divorce. In how many ways can people select their five favorite jokes from this list?Five favorite jokes can be...
- Q Directions Answer the questions. All problems are with replacement.1. How many 3-digit area codes can be made with the digits 0 through 9?2. If area codes were changed from 3-digit...
- Q At a high school cafeteria, diners can choose one vegetable from a choice of 5 vegetables, one meat from a choice of 2 meats, one serving of bread from among...
- Q This test contains a total of 7 multiple choice questions, and each multiple choice question features 5 possible answers. (Someone guessing all "a's." for example, would have a string of...
- Q How many different ways can you rearrange the letters in each of the twowords below?ALFALFA ENFEEBLEMENT
- Q A box contains three cards. On one card there is a triangle (T), on another card there is a sun (S), and on the third card there is a question...
- Q Which conditions are needed to conduct a one-proportion z test? (Check all that apply)1. The probability of each sample is within 1 standard deviation of the mean2. The samples are...
- Q Ms. Bell's mathematics class consists of 13 sophomores, 6 juniors, and 11 seniors. How many different ways can Ms. Bell create a 5-member committee of seniors if each senior has...
- Q All Harold's ties are red except for two. All Harold's ties are blue except for two. All Harold's ties are brown except for two. How many ties does Harold have?Harold...
- Q A combination lock will open when the right choice of three numbers (from 1 to 35) is selected. How many different lock combinations are possible?128,62542,875122535105
- Q There are 14 members of the scholastic bowl team, 8 of whom are boys and 6 of whom are girls. The coach wants to play 3 boys and 1 girl...
- Q A state makes auto license plates that have two letters (excluding I, O, and Q) followed by four digits of which the first digit is not zero. How many different...
- Q You need to arrange seven of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the booksmakes a...
- Q An investor will randomly select 6 stocks from 20 for an investment. How many combinations are possible?
- Q Knowledge:1. A coin is tossed three times. What is the best description of the tree diagramthat illustrates this event?A 2 stages, 3 branches per stage, 6 outcomesB 3 stages, 2...
- Q Cameron is forming a password containing 3 characters. He has decided that thefirst character will be a capital letter and the last character will be a digit. All othercharacters will...
- Q The 13 players on a volleyball team are to line up for a team photograph. The seven shortest players will be in the front row. The remaining players will be...
- Q If the word PERMUTE is permuted in all possible ways and the differentresulting words are written down in alphabetical order (also known asdictionary order), irrespective of whether the word has...
- Q The trifecta at most racetracks consists of selecting the first-, second-, and third-place finishers in a particular race in their proper order. If there are twelve entries in the trifecta...
- Q A typical Chinese restaurant will often feature a Special Dinner, in which the customer has the choice of ordering one appetizer and one entree.1. If there are 8 appetizers and...
- Q Use: Cknn!k! (n-k)!to solve the combination.How many different combinations ofsix people can sit in four chairs?Assume one person sits in each chair.[?] ways
- Q As part of a quality-control program, 3 light bulbs from each batch of 100 are tested. In how many ways can this test batch be chosen? Note: nCr =n!/ r!n-r)!
- Q In how many ways can a password be made using 4 letters from the 26 letter English alphabet, if letters cannot be repeated? [?] ways Note: nPr = n! /...
- Q Suppose you choose four books to read from a summer reading list of 12 books. How many different combinations of books are possible?
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