In a certain Soccer League, there are 23 boys from Orange County Soccer Club, 13 girls from Orange County Soccer Club, 11boys from LA Soccer Club, 12 girls from LA Soccer Club,15 boys from South Central Club and 9 girls from South Central Club. If the National Soccer Federation were to select a player, what is the probability that the player will be a girl?

Q: At a certain​ hospital, 18 patients have lung​ cancer, 16 patients​ smoke, and 14 have lung cancer…

A: It is given that, The hospital contains 90 patients. Number of patient who has lung cancer = 18…

Q: In a certain population of women, 40% have had breast cancer, 20% are smokers and 13% are smokers…

A:

Q: If a card is chosen at random from a pack of cards, what is the probability that the card is from…

A: From the provided information, Total number of cards in standard deck = 52 Total black cards = 26…

Q: Suppose you roll a six-sided die, with sides numbered 1, 2, 3, 4, 5, and 6, and with each number…

A: a) All possible outcomes= 1, 2, 3, 4, 5, and 6 So total 6 possible outcomes.   The possible outcomes…

Q: A university class has 12 students that are from within the state, 15 students from out of state,…

A:

Q: A restaurant critic has 10 new food trucks to try. If she tries half of them this week, what is the…

A: The probability formula is, Probability=Number of favourable outcomesTotal outcomes A restaurant…

Q: At a certain college, there were 400 Engineering majors, 300 Science majors, and 100 Mathematics…

A:

Q: At a certain college, there were 600 science majors, 200 engineering majors, and 400 business…

A:

Q: Suppose that in a class of 100 students, 25 students major in Economics, 30 in Finance, and 45 in…

A: In question, Given that in a class of 100 students, 25 students major in Economics, 30 in Finance,…

Q: A bag contains 77 greengreen marbles, 1010 blackblack marbles, and 55 whitewhite marbles. If two…

A: Given: 7 green marbles 10 black marbles 5 white marbles

Q: From an ordinary deck of 52 playing cards, what is the probability that if 5 cards are to be dealt,…

A: Total no.of cards=52no.of face cards=12

Q: Given that there are 3 different colours, Blue, Red and Green, and different group classisfied as…

A:

Q: Tom,Dick and Harry have three deck of cards.If each of them pick one card from their own deck at…

A: In each deck of 52 cards, there are 4 aces. So the probability of picking a ace is= 4/52 =1/13

Q: If the experiment is in state 2 on the third observation, what is the probability that it will be in…

A:

Q: if six different customers a, b, c, d, e and f arrive for service at random order, what is the…

A:

Q: If you pick up a card from a deck of 52, what is the probability that it will be a face card but not…

A:

Q: If 63% of the people at a certain conference are doctors, 48% are women, and 39% are doctors, what…

A: The following information has been given: The probability that people at a certain conference are…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

Q: In a class, there are 30 students from Ankara, 50 from Istanbul and 20 from other cities. If a…

A: We have given, 30 student's from Ankara, 50 student's from Istanbul,  20 student's from other…

Q: If out of a population consisting of 40% Hindus, 30% Muslims, 20% Sikhs, and 10% Christians, 10…

A:

Q: A bag contains 5 red marbles, 6 green marbles, and 3 blue marbles. If Cymra draws a marble, keeps it…

A: There are total (5+6+3)= 14 marbles in the bag. Among the 14 marbles, 5 are red   So, the…

Q: What is the probability of selecting a family that has either a Visa card or an American Express…

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Q: If two cards are selected from a standard deck of 52 cards without replacement, what is the…

A: Two cards are selected from a standard deck of 52 cards without replacement.TT

Q: In a sample of 20 individuals, 13 are of the age category (5-8), 5 are of the age category (8-17),…

A: Given: Sample size n = 20 Number of individuals of age category 5 - 8 = 13 Number of individuals of…

Q: In a certain high school, 20% of the students belongs to the math club, 10% belongs to the student…

A: here define events student belongs to math club = M student belongs to council = C p(M) = 0.20  p(C)…

Q: If a single die is rolled seven times, what is the probability it lands on 3 on the second, third,…

A: A single die is rolled seven times.Probability that a die rolled will land on three = 1/6Probability…

Q: you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail…

A: We want to find probability

Q: Given two urns, one containing two red, three green, and four yellow balls, the other containing…

A: First urn contains; 2 red 3 green 4 yellow Second urn contains; 4 red 2 green 3 yellow

Q: A bag contains seven black marbles, twenty-five white marbles, and three grey marbles. You pick one…

A: There are total 35 marbles. The probability that the marble will be white is 25 / 35. The…

Q: What is the probability that both of the cards are diamonds?

A: HERE FROM GIVEN INFORMATION, there are total 52 cards  13 cards of diamond card drawn at random and…

Q: A bag contains 43 black marbles, 84 green marbles, and 73 blue marbles. If a marble is drawn from…

A:

Q: If a person draws four cards from a standard deck (without replacing them), what is the probability…

A:

Q: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color…

A: Total number of cards = 52 Number of black cards = 13+13 = 26 Number of '3' cards = 4 Number of…

Q: a) If you choose a person at random, what is the probability that the person is color-blind? b) If a…

A: E1: Men   P(E1) = 0.5 E2: Female  P(E2) = 0.5 A: Color Blind P(A|E1) = 0.05 P(A|E2) = 0.0025

Q: If the president and vice-president are selected at random, what is the probability that they are…

A:

Q: If 9 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that exactly…

A: Solution: A standard deck of 52 playing cards contains 4 kings and 52–4=48 are non-kings. Here, 9…

Q: If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a…

A: It is given that, Two cards are drawn from the deck. Total number of cards in a deck=52 Total number…

Q: In a coffee shop "Scratch and Win" contest, one out of three cards is a winner. What is the…

A: From the given information, one out of three cards is a winner. P(winner)=1/3 Let us consider, the X…

Q: If 8 different customers A, B, C, D, E, F, G, and H arrive for service at random order, what is the…

A: Here Given total Number of customer=8

Q: In a certain Soccer League, there are 23 boys from Orange County Soccer Club, 13 girls from Orange…

A:

Q: Given a standard deck of cards, and you draw a single card at random. What is the probability of…

A:

Q: In a hospital, there are 11 male patients in ICU, 7 female patients in ICU, 5 male patients in…

A: Given that,  MALE Patients in ICU =11 MALE Patients in Cardiology= 5 MALE Patients in…

Q: In a certain card game, four players are dealt 13 cards each from a conventional deck of 52 cards.…

A: Answer: - In a certain card game, four players are dealt 13 cards each from a conventional deck of…

Q: A jar of marbles contains the following: two purple marbles, four white marbles, three blue marbles,…

A: Given that in a jar of marbles contains the following: two purple marbles, four white marbles, three…

Q: Tom,Dick and Harry have three deck of cards.If each of them pick pne card from their own deck at…

A: Given,  Tom,dick and Harry have three deck of cards. Each of them pick one card from their won deck.…

Q: If 4 cards are dealta from a standard deck of 52 cards, what is the probability thatthat 3 will be…

A: According to formula of combination, the number of ways to select r objects from n objects is equal…

Q: A 5-person basketball team consists of a point guard, a shooting guard, a forward, a power forward,…

A: a. P [selecting a complete team] = 0.2x0.25x0.33x0.5x1 = 0.00825 If a point guard is chosen from one…

Q: An urn contains 40 red balls, 30 green balls, 25 blue balls, and 10 yellow balls. If Alicia randomly…

A: Given, A urn contains 40 red balls, 30 green balls, 25 blue balls and 10 yellow balls. Probability =…

Q: 16. Consider a situation in which a used-car lot contains five Ford cars, four Nissan cars, and…

A: We have given that  Ford cars = 5 Nissan cars = 4 BMW cars = 3 Total number of cars = 12

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.