The number of combinations of eight items taken three at a time can be written as C(8-3) C(3, 8) P(8,3) C(8,3)
Q: On a varsity baseball team of the players are 1 seniors, of the players are juniors, and the re- 4.…
A: Let , total players be x.
Q: If x men working x hours a day for x days produce x bird houses then how many bird houses will be…
A:
Q: Miriam's art teacher presents her with five colors of paint but instructs her to use only three of…
A:
Q: There is an interest in finding a gasoline additive that reduces nitrogen oxides in the exhaust…
A: 1 2 3 4 1 A=21 B = 36 D = 20 C =25 2 D = 23 C = 20 A = 20 B = 27 3 B = 25 D = 13 C = 16 A =…
Q: Amy is playing an arcade bowling game. When she rolls a ball at the target, the ball will fall…
A:
Q: As a manager in a company, your department was assigned 3 projects to work on. In your department,…
A: It is given that there are 9 engineers and 3 projects to work.
Q: Cookies (4 Circle-shaped, 8 Heart-shaped, 3 Bear-shaped) Suppose you draw one cookie from the box at…
A: It is given as18 Chocolate Cookies (8 Circle-shaped, 6 Heart-shaped, 4 Bear-shaped) 15 Vanilla…
Q: please explain step by step, every concept in detail
A: To solve this problem, we can use the concept of combinations. Since the balloons of the same color…
Q: Out of 38 students in a class, 10 students like baseball, 20 students like football and 10 students…
A:
Q: “ You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least…
A: Note that the number of ways to select r objects from a group of n Objects is nCr. The total number…
Q: Bob plays soccer 2 out of the 5 weekdays. How many possible schedules are there to play soccer on…
A: Solution:- There are 3 possible weekdays for Bob to play soccer: Monday, Wednesday, or both. To…
Q: If 98 +3a = 4b, what is a in terms of b?
A:
Q: please explain step by step, each concept in detail
A: To solve this problem, we must determine the number of different committees of 4 students that can…
Q: You have four hours of free time today. You want to spend each hour doing something different. You…
A: Solution: From the given information, four hours to choose from seven hours.
Q: Find the number of ways to break a group of 12 people into 3 smaller groups, at least one person per…
A: The problem boils down to finding the number of solutions to x_1+x_2+...+x_r=n. We refer a standard…
Q: What are the possible orders for the elements of S6 and A6? What about A7?
A:
Q: From a club of 16 people, in how many ways can a group of five members be selected to attend a…
A: Given Data: The number of people in the club is: n=16 The number of members required is: x=5 The…
Q: Mrs. Smith has 6 activity tables she wants to play side-by-side in her classroom. (a) In how many…
A: Permutations and combinations are important concepts in combinatorics, a branch of mathematics…
Q: (d) At least 13 of them do not use the website.
A: It is given that the number of observations are independent of the probability of success p = 15% =…
Q: Please help me, i'm stumped.
A: our objective is to find the no. of ways
Q: Consider the following figure. 10 4 -10 -8 -6 -4 -2 10 6. 8. 10 -2 -4 -6 B -8 -10 Fill in the table…
A:
Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…
A: Given 16 smokers 22 non smokers
Q: A bag of coins contains nine pennies, six nickels, four dimes, and three quarters. Assuming that the…
A: Given information: A bag of coins contains nine pennies, six nickels, four dimes, and three…
Q: Find the value of a, b, and c if (a+b)(a+b+c)=21, (a+c)(a+b+c)=35, and (b+c)(a+b+c)=42.
A: First we need to make some equations and the we have to simplify them in order to get a, b and c.
Step by step
Solved in 2 steps
- The game of American Roulette consists of spinning a wheel in one direction and then spinning a small ball in the other direction, see videoOpens externally [+]. The ball will eventually fall into a slot of the wheel. The wheel is divided into 38 slots. There are 36 slots numbered from 1 through 36 and 2 slots which are labeled with zero "0" and double zero "00". The zero and double zero are colored green, 18 slots are colored red, and the other 18 are colored black. See the below picture.A common bet in the game is to bet on red or black which pays even money. For example, if you bet a $1.00 on red and the ball falls into a red slot, then you win $1.00. Otherwise, you lose $1.00. Suppose you play the game and you bet $6 on red. Let X = the amount you win.a.) Complete the probability distribution table. (Write answers as fractions.) X P(X) -6 6 b.) Find the expected value (mean) of X.μμ = (Write you answer as fraction or round to two decimal places.)c.) Find the…I'm struggling with variations! Scenario: You build a deck of cards from a collection. In the collection, there are 7x a cards and 8x b cards. What is the number of possible ways to choose 4 cards that are all a cards? The last time I asked this question it was all mushed up in a single line of text. Can you please separate the steps by 'enter' please and thank youCompute the following. (a) P8, 4.1(b) C8, 4.2(c) P3, 3.3(d) C4, 4.4
- Dr. Lawrence has minimized his wardrobe during the fall of 2020, since there's no reason to dress up fancy these days. He has three pairs of jeans, five sweatshirts, and four hats that he puts to regular use. If he were to select his outfit for the day at random, how many different jean-sweatshirt-hat combinations are there? 6.If n(B) = 415, n(ABC) = 120, n(ABC) = 145, and n(ACnBn c) = 125, what is n(ACnBn c9)?A survey of 145 college students was done to find out what elective courses they were taking. Let A=the set of those taking art, B= the set of those taking basketweaving, and C= the set of those taking canoeing. The study revealed the following information.n(A)= 45n(B)= 55n(C)=40n(AnB)= 12n(AnC)= 15n(BnC)= 23n(AnBnC)= 2 How many students were not taking any of these electives?
- Find the following: (A U B) n C A={4,5,6}, B={4,6,8} and C={6,7,8,9,10}Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Reaction None Mild Strong Column Total Within 5 Minutes After 5 Minutes 391 65 44 500 66 341 93 500 Row Total 457 406 137 1000 Let's use the following notation for the various events: W= washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.)If P(A) = 0.3, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B)
- If P(A) = 0.6 and P(B) = 0.25, and P(A and B) = 0.3, determine P(A or B)A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert? P(12, 3) 5 + 3 + 4 5 x 3 x 4 C(12, 3)9 (b,c). The following data was collected from 1 bag of Hershey Kisses®. Each Kiss® was weighed in grams with the wrapper and recorded in the table below. Hershey claims that there are 368 grams of chocolate in one bag. The following data was collected from 1 bag of Hershey Kisses®. Each Kiss® was weighed in grams with the wrapper and recorded in the table below. Hershey claims that there are 368 grams of chocolate in one bag. Hershey Kiss Weights in Grams 4.76 4.72 4.74 4.55 4.91 4.74 4.78 4.71 4.80 4.78 4.78 4.75 4.79 4.82 4.91 4.83 4.68 4.74 4.70 4.80 4.70 4.76 4.70 4.83 4.93 4.74 4.84 4.82 4.76 4.77 4.72 4.78 4.83 4.75 4.74 4.68 4.84 4.71 4.71 4.76 4.66 4.78 4.73 4.74 4.92 4.77 4.80 4.79 4.86 4.64 4.78 4.70 4.75 4.78 4.76 4.83 4.66 4.77 4.83 4.78 4.69 4.81 4.68 4.78 4.88 4.72 4.85 4.85 4.81 4.74 4.80 4.82 4.84 4.70 4.85 4.70 4.81 4.72 4.79 4.73 4.61 Standard Deviation & the Empirical Rule: Variation is a big factor in the analysis of most any…