Basic Math question and answers for October 10, 2024
- Q Simplify the following trigonometric expression,considering only the values of a for which theexpression is definedcos(a) tan(a) sec(a) cot(a)Remember to put the arguments of anytrigonometric functions in parentheses.
- Q A rabbit population reaches a maximum of 500 on July 1 and a minimumof 200 on December 1. The rabbit population is increasing most rapidlyon April 1, and it reaches...
- Q Which statement is correct about the parent sine function? The amplitude is 0 and the maximum value is y=1. The midline is y=0, the amplitude is 1, and the minimum...
- Q The angle of depression of an object refers to the angle whose initial side is a horizonal line above the objectand whose terminal side is the line-of-sight to the object...
- Q Considering only the values of ? for which the expression is defined, which of the following isequivalent to the expression below?sin(-a) tan a cot(-a)Select the correct answer below:csc ?tan ?sin...
- Q Nora is certain that cos(x + 2) = sinx. She is mistaken.Note: The unit circle could be very helpful in thinking about why Nora is mistaken and about the next...
- Q Choose your own numbers (other than 1 or 0) for the parameters: a, b, c, and d iny = asin(bx + c) + d.a. Use Desmos to draw your graph...
- Q Use linear approximations to estimate the following quantity. Choose a value of a that produces a small error.sin 6The linear approximation of sin 6 is(Round to five decimal places as...
- Q 5. An airplane is travelling at a speed of 400 miles per hour with a bearing of 200 degrees. The planeencounters a wine blowing with a velocity of 60 miles...
- Q Two soccer players are warming up by kicking soccer balls at a goalie. The two players are located 10 yards apart, and the angle from each player to the goalie...
- Q When shelled corn is stored in a cone-shaped pile 20 feet high, the diameter of the pile'sbase is about 94 feet.(b) Find the angle of repose for shelled corn. (Round...
- Q A ladder 35 feet in length rests against a vertical wall. The foot of the ladder is 10 feet from the wall. What angle, 8, does the ladder make with...
- Q Find all six trigonometric functions of 0 if the given point is on the terminal side of 0. (If an answer is undefined, enter UNDEFINED.)(-9, 12)
- Q Juliet stands at the window of her apartment so that her eyes are 38.4 feet above theground. Juliet spots her boyfriend down the street a few blocks away. She knows,...
- Q The angle of elevation fromthe bottom of the ski lift tothe top of the mountain is 62.If the vertical height of themountain is 1,760 feet, what isthe total distance traveled...
- Q Nick is stuck at the top of aFerris wheel. His mother isstanding 38 feet from the baseof the wheel watching him. Ifthe angle of elevation fromNick's mom to Nick is...
- Q A hot-air balloon is attached to the ground by a cable that is 200 meters long. The cable makes a 57 angle with the ground.How many meters above the ground...
- Q A weather balloon is launched from the ground at a spot 250 yards from a 65 foot royalpalm tree. What is the minimal angle of elevation at which the balloon...
- Q A study reports that 61 of Americans support increased funding for public schools If 3 Americans are chosen at random what is the probability that a All 3 of them...
- Q Find the magnitude of the horizontal and vertical components of a force of 465 newtons at a bearing of 19 from the horizontal. Round to the nearest whole number.horizontal component:...
- Q Suppose the body mass index BMI of a group of athletes has a population mean of 24 98 and a standard deviation of 4 18 If a random sample of...
- Q e probability is 0 3 that a traffic fatality involves an intoxicated or alcohol impaired driver or nonoccupant In six traffic fatalities find the probability that the number Y which...
- Q 20 The numbers 1 through 8 are written in separate slips of paper and the slips are placed into a box Then 4 of these slips are drawn at random...
- Q 2 It is thought by some researchers that exercise for college students is related to the sex of the student A survey was taken of 470 college students in California...
- Q 39 9 of consumers believe that cash will be obsolete in the next 20 years Assume that 6 consumers are randomly selected Find the probability that fewer than 3 of...
- Q t a large high school outside of Chicago there are two students running for class president Ronald and Bo 60 of the students in the school support Bo and the...
- Q A bag contains 10 marbles Four of them are red three blue two white and one yellow A marble is drawn at random What is the probability that it is...
- Q Select the correct answer from each drop down menu Of the 16 cards drawn from a standard deck of 52 cards experimental probability of drawing a spade is a spade...
- Q Select the correct answer from the drop down menu A number cube is biased to land on the number 3 about 50 of the time It is rolled 42 times...
- Q Suppose a game consists of two steps First you roll a die If you roll a 6 you continue otherwise you lose the game If you rolled a 6 an...
- Q Say that a game consists of two steps First you roll a die If you roll a 1 or a 6 you continue otherwise you lose the game If you...
- Q The city of Raleigh has 11200 registered voters There are two candidates for city council in an upcoming election Brown and Feliz The day before the election a telephone poll...
- Q All changes An archery target is shown The length of a side of the inner square is 6 ft and the length of a side of the outer square is...
- Q Edna is fouled hard in an exciting basketball game It is ruled a flagrant foul and the opponent is tossed from the game As a result Edna is allowed to...
- Q Of the 16 cards drawn from a standard deck of 52 cards 5 of the cards are spades Based on the cards that were drawn the and the difference of...
- Q You have a bad habit of overpacking On an overnight field trip with the school you packed five shirts and one pair of jeans Two of your shirts are yellow...
- Q Parte Part 1 of 2 a Find the probability that both prizes are won by men The winning ticket is not replaced Enter your answer as a fraction or a...
- Q In a certain Algebra 2 class of 28 students 9 of them play basketball and 17 of them play baseball There are 6 students who play neither sport What is...
- Q There is a 80 chance that a person eats dinner a 70 chance a person eats dessert and a 40 chance the person will eat dinner and dessert Which of...
- Q Out of 9 700 college students surveyed 776 responded that they do not eat breakfast What percent of the students not eat breakfast Percent of the students
- Q In a study of data derived from a variety of natural phenomena F A Benford formulated an empirical law regarding the frequency of occurrence of the first digit d in...
- Q Tim works for a cell phone company and is testing their new biometric security feature He conducted a test in which 4 000 attempts were made to unlock the phone...
- Q instructul Skyward bhoney cake pictur Harry surveyed soccer athletes on what drink they preferred during their athletic competition The results are in the following Two Way Frequency Table Gender Gender...
- Q Suppose the circle graph shows the percent of people in a certain region with the various types of blood If one person in the egion is selected at random use...
- Q Rodney s Repair Service has a lug nut tightening machine that works well 85 of the time They got a new machine that works well 99 of the time Each...
- Q Paul needs to randomly select one of his four children to go first in a board game Which simulation tools could he use in this situation two coins a standard...
- Q Suppose that Jason recently landed job offers at two companies Company A reports an average salary of 51 500 with a standard deviation of 2 050 Company B reports an...
- Q Suppose a county s recent health report gives a pet allergy prevalence of 0 16 for kids There is a new at home test kit for pet allergies on the...
- Q 7 The principle of redundancy is used when system reliability is improved through redundant or backup components Assume that a student s alarm clock has a 17 1 daily failure...
- Q 3 2 31 According to a study 79 of K 12 schools or districts in a country use digital content such as ebooks audio books and digital textbooks Of these...
- Q There are seven white dogs five black dogs six white cats and three black cats What is the probability of randomly selecting a white animal or a dog Use the...
- Q Your college is having a housing lottery The probability that you will get a single room all to yourself next year is 0 2 the probability of getting a double...
- Q An unusual number cube with 6 sides has the numbers 2 2 4 4 6 and 6 on its faces It is rolled once Match the outcome to its probability...
- Q A warehouse employs 27 workers on first shift 16 workers on second shift and 14 workers on third shift Eight workers are chosen at random to be interviewed about the...
- Q 10 points In a class of 30 students 13 have a cat and 10 have a dog There are 4 students who have a cat and a dog What is...
- Q Al changes 3 A five question multiple choice quiz has five choices for each answer Use the random number table provided with 0 s representing incorrect answers 1 s representing...
- Q A large white canvas 9 x 21 has two triangles painted on it one with a base of 1 and height of 3 and the other with a right triangle...
- Q A lottery consists of 36 numbers You must pick the six winning numbers to win What is the chance of you winning Enter your answer as an exact value Type...
- Q Internet Use in 2000 The following pie chart shows the percentage of the population that used the Internet in 2000 broken down further by family income and based on a...
- Q A company has 9000 arrivals of Internet traffic over a period of 21 060 thousandths of a minute Let the random variable x represent the number of such Internet e...
- Q Type the correct answer in each box Spell all words correctly and use numerals instead of words for numbers The coach of a soccer team is determining which of the...
- Q A single serving coffee machine is programmed to dispense 8 ounces of coffee per serving Occasionally the machine will start to overfill or underfill cups of coffee and require recalibration...
- Q Instead of using the values 1 2 3 4 5 6 on dice suppose a pair of dice have the following 1 2 2 3 3 4 on one die...
- Q Hal earns a B on 75 of his tests He divides a spinner into 12 equal spaces to model the grades he earns on his tests with nine of the...
- Q Based on probability and if it is appropriate for a decision to be left up to chance choose every situation that is both statistically fair an morally fair Situation 1...
- Q Convert the two way table to a relative frequency table Has siblings Does not have siblings Rides the bus to school Does not ride the bus to school Has siblings...
- Q 0 A survey asks 1500 workers Has the economy forced you to reduce the amount of vacation you plan to take this year Forty one percent of those surveyed say...
- Q The positions on a lacrosse team are called defenders D midfielders M and attackers A One player is chosen at random to lead the team in exercises before each game...
- Q 4 Consider the following scenarios using two strings Part A Is it possible to construct a square with the two strings Explain your answer Part B Is it possible to...
- Q Question spinner contains the numbers 1 through 80 What is the probability that the number that is not a multiple of 12 Give your answer in fraction form
- Q The results from a test to detect the presence of a bacteria in a sample are shown in the table Test is positive Test is negative 68 58 126 Contains...
- Q 17 During a word game Sara draws tiles at random from the group of letter tiles shown below A B B L 1 16 3 E R S C R...
- Q Use the following scenario to solve the first four problems A card is drawn from a card deck Tell whether events A and B are inclusive or mutually exclusive and...
- Q At LaGuardia Airport for a certain nightly flight the probability that it will rain is 0 07 and the probability that the flight will be delayed is o 19 The...
- Q Let in a binomial distribution consisting of 5 independent trials probabilities of exactly 1 and 2 successes be 0 4 and 0 6 respectively Then the probability of getting exactly...
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