A club prepares three types of games: football, badminton and tennis. The club has 70 members where each member plays one or more games. Let F, B and T be sets of members playing football, badminton, and tennis respectively. Given that n(F) = 32, n(B) = 38, find x, y and z as shown in the Venn diagram. S T Ⓡ 3 8 4 19 X B (a) If a member is selected at random from all the members of the club, find the probability that the person selected (1) plays all the three games does not play tennis (b) If a football player is selected at random, find the probability that he/she plays tennis but does not play badminton.

Q: 2. Eight persons are to be assigned to two different rooms. Let A one room must have 3 persons. B…

A: Probability can be found by using combinations.

Q: A residential building is to be constructed where each floor has one of three possible floor plans…

A: Yes, it is possible to have exactly 34 three-rooms, 33 two-rooms, and 55 one-rooms apartments as a…

Q: A bag contains 3 red marbles, 2 green ones, 1 lavender one, 1 yellow, and 3 orange marbles. HINT…

A: Given that there are 3 red marbles, 2 green ones, 1 lavender one, 1 yellow, and 3 orange marbles. So…

Q: Let U=(2,-1,0,-3) ,V=(1,-1,-1,3) and W=(1,3,-2,2) then -4U+2V- 2W is: * O skip O (-8 -4 2 14) O (-8…

A: U = (2,-1,0,-3) V = (1,-1,-1,3) W = (1,3,-2,2) find -4U + 2V -2W = ? -4(2,-1,0,-3) + 2(1,-1,-1,3) -…

Q: In Muscat city, there are two types of services at a gas station. The gas station has a single…

A: Given Information: A\B 0 1 2 PA(A) 0 0.14 0.02 0.09 0.25 1 0.05 0.29 0.05 0.39 2 0.10 0.13…

Q: 1. Given that m= -3, n = 2, p = -1 Find: m (p – n)2 _____3p + m Select one: a. 4½ b. 27/8 c.…

A:

Q: 18-20. Reler to the illustration below: One of your dreams is to have a new cell phone. You went to…

A: To find available cell phones from which we can choose.

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A:

Q: D(-4, 3), E(-2, 3), F(-1, 1), G(-4, 1) 11) and L(1, –1), M(3, –1), N(6, –3), P(1,–3)

A:

Q: a box contains 5 white balls and 3 black balls. draw two balls without replacement. if x represents…

A: Given Information: There are 5 white balls and 3 black balls. Total number of balls is 8. Two balls…

Q: (2) Write v as a lincar combination of u₁, U₂, U3 if possible, where U₁ = (2,3,5), u₂ = (1, 2, 4),…

A: Given that,  V=(10, 1,4)  u1=(2, 3,5), u2=(1, 2,4) , u3=(-2, 2,3)  To find : a, b, c such that…

Q: A bag contains an unknown number of red and black marbles, but you do know that there are more black…

A: X1,X2,..,XNare random samples with same mean μ and standard deviation σ . The sampling distribution…

Q: If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 },C = { 2, 4, 6, 8, 10, 12, 14, 16 }, D =…

A: Since you have asked multiple sub parts in a single request, we will be answering only the first…

Q: Traditionally, the game of Rock, Paper, Scissors is played with two people. Each of the two people,…

A: **Step 1: Understand the Outcomes**Each player can choose among three options (rock, paper,…

Q: 7 1 Let A = and D = -7 -3 -3 -7 Find A-D. A - D = |||

A:

Q: Ehsaan and TJ play a game in which Ehsaan flips 2 fair coins, and TJ flips 3 fair coins. Represent…

A:

Q: A hat contains one thousand-dollar bill and four five-dollar bills. Five persons, one at a time,…

A:

Q: -27 [11 i). a, =| C 7 b=-5 ,az : |5 [1 ii). a, =0 ,a, |-2 5 ,b: -7 8. 3. 2.

A: Find the system of equation and solve

Q: Given u = (10, 9) and v = (5, - 2), find v-u. O (-10, – 3) O (-5, - 2) O (-15, – 8) O (-5, – 11) O…

A: Givenu=(10, 9)v= (5 ,-2)

Q: 1. There are two boxes, each of which contains a certain number of cubes and balls, painted in…

A: Given:   Box 1 Box 2   Red Blue Red Blue Cube 6 24 28 42 Ball 14 56 12 18 Total 20 80 40…

Q: U = {-V6,-5, –4.5, –4, –3, – 2.8, – 2, –1,0,1, /2, 2, V5, 3, V10,- 2' ,4,5, 6,7, 8, 9, 10, 11} A =…

A: Given universal set U=-6 , -5 , -4.5 , -4 , -3 , -2.8 , -2 , -1 , 0 , 1 , 2 , 2 , 5 , 3 , 10  ,72 ,…

Q: How large was the audience of each of the four companies at the end of that year? Microsoft Time…

A: Here by solving given equation retrieve value of x ,y,z and u

Q: Find the value of p: 1 2.9 = 1.2p + ¬p %3D 4

A: Solution:

Q: A 4 Variable Karnaugh map has eight cells. Select one: O True O False

A: A Karnaugh map provides a systematic method for simplifying Booleanexpressions.

Q: a. The total cost of 11 pencils and 3 erasers is $64 and the total cost of 8 pencils and 3 erasers…

A: Given that  The total cost of 11 pencils and 3 erasers is $64 The total cost of 8 pencils and 3…

Q: Let a = [1, -3, 5], b = [4, 0, 8], c = [-2, 9, 1]. Find: |a + c² + |a − c|² - 2(|a|² + |c|²)

A:

Q: Let a = (2, 4, 6) and b = (4, 2, 4). - (å – 6) × (å + 6)

A: Given: a→=2i^+4j^-6k^ b→=4i^+2j^+4k^ a→-b→=2i^+4j^-6k^-4i^+2j^+4k^          =-2i^+2j^-10k^…

Q: Let â = (2,0, –3), %3D b = ( and -4, –7,1) c = (1,1,–1). Find

A: The given vectors are a⇀=2, 0, -3, b⇀=-4, -7, 1  and  c⇀=1, 1, -1.

Q: I have a bag containing 40 blue marbles and 60 red marbles. I choose 4 marbles (without replacement)…

A:

Q: At a science fair, 4 different groups of students from a local school are showcasing their projects.…

A: At a science fair, 4 different groups of students from a local school are showcasing their projects.…

Q: a +b+c+1 a + 26 + 2c + 2 Let m(a, b, c) = Set a + 26 + 3c + 4 a + 26 + 3c+d, M = {m(a, b, c) : a, b,…

A: Here we find value of d