1. The average of 3 numbers is 60. If two of the numbers are 50 and 60, what is the third number?

Q: o(18) is equal to: 28 O 39 O 6 None of the choices

A: Mcq

Q: If a = (3, 2) and  b = (-5, 3), what is a + b ?

A: Given, a= (3,2), b = (-5,3)

Q: 13. If 1 is 35, what is the sum of Z3 and 8 ?

A: It is observed that lines l and m are parallel and the transverse line is k .  Here the interior…

Q: 2. In a group of 45 students, 23 take history, 18 take biology and 10 take both history and biology.…

A: Given :  Total number of students = 45 Number of students taking history = 23 Number of students…

Q: 2. You have read 175 novels of the 350 in your home, but your sister has read 190, of which only 55…

A: Let us denote : A= number of novels read by me B= number of novels read by sister Given that…

Q: If "C, = "C,, then n is equal to 4. If "P, = 840, "C, = 35, then r = 5. "C, + "C, - "C, - "C, = 6.

A: Permutations are for lists (order matters) and combinations are for groups (order doesn’t matter).…

Q: If the average of 5 numbers 23, 36, 15, x, 19 is 20 then the value of x is:

A: The objective is to find the value of x.

Q: A is two years old older than B who is twice as old as C. If the total of ages of A, B, & C be 27,…

A: Let the age of C  be x . Then B's age and A's age are 2x and x respectively.Then formulate an…

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…

A:

Q: 3. Answer the following: (i) In how many ways can 3 boys and 2 girls sit in a row? (ii) In how many…

A: Here will use the concept of permutations and arrangment Given that  Number of boys = 3 Number of…

Q: For how many ne {1,2,., 490} is n a multiple of one or more of 9, 8, or 7? ...

A:

Q: mary ann,hazel,and analyn want to know what numbers can be assigned for the frequency of of heads…

A: The sample space of a fair coin flip is {H, T}. The sample space of a sequence of three fair coin…

Q: If n(A) = 120, n(B) = 110, and n(A U B) = 170, what is n(A n B)? %3D

A: Given;n(A)=120n(B)=110and n(AUB)=170

Q: 9. There are 5 roads leading to a town from a village. The number of different ways in which a…

A:

Q: If n(A) = 41, n(B) = 15, and n(A ∩ B) = 2, find n(A ∪ B).

A: We will use the following n(A U B) = n(A) + n(B) - n(A ∩ B)

Q: (1) 5. How many different class pictures can be taken if there are 2 teachers and 15 students and…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: If m 1=75 and m 2=40°, what is the m4?

A:

Q: 1. How many white tiles will there be in pattern number 10? 2. How many grey tiles will be there is…

A:

Q: In a group of 15 students, 6 students are girls.  In how many ways can a team of 10  students be…

A:

Q: If a = (1, -3, 2) and  b = (3, 4, -5), what is b - a ?

A: Given :a = (1, -3, 2) b = (3, 4, -5)

Q: If n(A) = 145, n(B) = 110, and n(A ∪ B) = 220, what is n(A ∩ B)?

A: Event:  The collection of outcomes in an experiment is called as an event. Addition rule:

Q: If 40% of x is 160 , what is x ?

A: The answer is

Q: For how many n E {1,2, ..., 490} is na multiple of one or more of 9, 8, or 7?

A:

Q: 2. There are three trails to the top of a mountain. In how many ways can a person hike up and down…

A: According to the provided data, there are three trails available to the top of a mountain. a) The…

Q: How many ways are there to go from B to D?

A: here given  A boy lives at B and wants to go to school at D. From his home B he has to first reach C…

Q: 2 ,2 + 2

A:

Q: The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts; 77 like…

A:

Q: 41oHo α2 4lodor 1 2α2 4lolor), 12 2α2| 4πα2 72 lolor παζ - 2α2| B2mr = Β2πι B2π = Β B = B = 1 2 14…

A: why does r^4/4a^2 gets to be r^2/2a^2?

Q: Please refer question in attached image

A: We have given the matrix

Q: AT MOST two pairs of sneakers?

A:

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: Given we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and…

Q: 1. If a=5, b=7, c =4, what is b x c - a + b^2 - (b-a)^4 /c + b -a? *

A: topic - algebraic operations

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

Q: Consider the following problem: In Ms. Brown’s class, there are 24 students. There are 6 more girls…

A: Given 24 students in class And 6 more girls than boys

Q: How many ways can A, B, C, D, and E stand in a line if C and D must stand next to each other?

A: C and D will stand next to each other. So we can assume CD as one element C and D can arrange in 2…

Q: n(A) = 47, n(B) = 15, and n(A ∩ B) = 8, find n(A ∪ B). n(A ∪ B)=

A: Given: n(A)=47 n(B) = 15 n(A ∩ B) = 8

Q: 15. There are 3 ways to get from Town A to Town B, 4 ways to get from Town B to Town C, and another…

A: Given Number of ways to get from town A to B = 3 ways Number of ways to get from town B to C = 4…

Q: a) the sum of two numbers is at least eight? b) that the two numbers whose product is even? c)…

A: According to the answering guidelines,  we can answer only three subparts of a question and the rest…

Q: 6. If all three prizes is $60, in how many different ways can the prizes be awarded? A. 4,455,100 C.…

A: Permutation : The number of distinct permutations of n objects, taken r at a time, is determined by…

Q: If M(a, b)stands for the larger number in the parentheses, and m(a, b)stands for the lesser number…

A:

Q: If ​n(A)equals 7 ​, ​n(B)equals 10   and​ n(A intersect   ​B)equals 3 ​, what is​ n(A union…

A: Suppose that two sets are A and B.

Q: Solve the following: 11)  A committee of 6 officials is to be chosen from 8 men and 7 women. If the…

A:

Q: If N{A} 7 and N{B) 7 and N(A U B) = 7, how are A and B related?

A: Given:NA=7NB=7NAUB=7NA∩B=?Formula:NA∪B=NA+NB-NA∩B

Q: we are 2 whole numbers less than or equal to 12, our LCM is 24, our GCF is 1

A:

Q: Five boys and four girls are waiting for the MRT to arrive at Guadalupe Station. In how many wa can…

A: there are total 5 boys and 4 girl total =9

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Given : 3 objects ( pencil , eraser , desk) to find :  In how many ways 2 object can be choosen…

Q: If the ratio of male teachers to female teacher at CSA is 4 to 7, which of these shows possible…

A: We will find out the required value.

Q: A photographer at a wedding must shoot six people in a row, including the bride and groom. How many…

A: Product rule: If one event can occur in m ways and a second event can occur in n ways, the number of…

Q: Q. 3 professors and 3 students are sit in a row (i) How many seating arrangements are there?, (ii)…

A: 3 professors and 3 students are sit in row   i) Calculate the number of seating arrangements 6!=720…

Q: If​ P(A or ​B)equals=0.70.7​, ​P(A)equals=0.30.3​, and​ P(A and ​B)equals=0.250.25​, find​ P(B).

A: The given information isP (A or B) =0.70P (A) =0.30P (A and B) =0.25