*2. If d; represents the number of feet a tortoise has crawled north of the starting line of a race and dr represents the number of feet a hare has traveled north of the same starting line, what do each of the following expressions represent? d;-dn a. d. b. 12 d d. с.

Q: If n(A ∪ B) = 50, n(A ∩ B) = 10, and n(B) = 20,find n(A).

A: Given,n(A∪B)=50,n(A∩B)=10 and n(B)=20 To find: n(A) Solution: We know,…

Q: If P(A or B) = 0.7 and P(A) = 0.44, and P(A and B) = 0.22, determine P(B)

A:

Q: If n(A) = 41, n(8) = 17, and n(A N B) = 4, find n(A U B).

A: In this question we have to find n(A U B)

Q: 1. gsin?x x2+7 6+ to Jo

A: We have to use comparison test in 1st part.

Q: Which number sentence can be used to find 42÷7=D? 4) 7÷ 42 = O 4) 42 x O = 7 42 – 7 = 0 7 x O = 42…

A: When the divisor multiply by quotient then we get the dividend

Q: If n(A) = 62, n(B) = 21, and n(An B) = 3, find n(A U B).

A:

Q: b. Write the set of natural numbers less than 23 needed) orete answ ers aS

A:

Q: For how many ne {1,2, ..., 570} is n a multiple of one or more of 8, 9, or 5? 215

A:

Q: If P (A) = 0.57, P(B) = 0.5, and P (A and B) = 0.48, find P (A or B). P(4 or B) =O

A: We have given that,  A and B are two events with P(A) = 0.57,          P(B) = 0.5 and P( A and B) =…

Q: represented as: Q- 20-P/3 O 50-1.5P O 50-1.5P if P> 20; 10-0.5P if P 20; 50-1.5P if P<20 Question 15

A:

Q: 4. If P(A) = 0.3867, P(BJA) = 04232, and P(A or B) = 0.5381, find а. Р(А and B) b. P(B) с. Р(АВ)

A: Given data,P(A)=0.3867P(B|A)=0.4232P(A or B)=0.5381

Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

A:

Q: 10 Suppose that Pr[A|B] = , Pr[B|A] = , and Pr[A'] = Find Pr[A n B']. 21 15 11

A: From Pr[A'] we find Pr[A]

Q: If n(A - B) = 18, n(A ∪ B) = 70 and n(A ∩ B) = 25, then find n(B).

A:

Q: Suppose that Pr[A|B]=4/7, Pr[B|A]=8/13, and Pr[A′]=8/21. Find Pr[A∩B′].

A: To calculate the required probability (using the data on conditional probability)

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In…

A:

Q: - A= 1 Then adjA IS 4 4 1 O -1 4

A: Topic:-  matrix algebra

Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: If n(A) = 45, n(B) = 18, and n(A ∩ B) = 7, find n(A ∪ B).

A: Given that  n(A) = 45, n(B) = 18, and n(A ∩ B) = 7. We find n(A ∪ B).

Q: a. If Set A = {x| xeZ and x is last five digits of your MEC ID } and Set B = {x|x is the letters of…

A:

Q: If 125% of x is 80 and x is n% of 400, what is the value of n? dd inages tere

A:

Q: What numbers could replace each letter to make both of the number sentences tru Nx N= 81 Nx P= 36

A: Given N*N=81 N*P=36   N=? P=?

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: 9. If RS = 10 and RU = 9, find (Qs.

A: Solve QS

Q: MR=5(a+9) and MP=13a+42

A:

Q: Suppose that Pr[A]=8/13, Pr[A|B]=5/7, and Pr[B|A]=5/8. Find Pr[A′|B′]

A:

Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: 3 a (a) In 23 6-3c-4 (b) In /b-a-2 4…

A: Given- ln a = 2 ln b = 3 ln c = 5 As part (a), (b) and (d) are already solved. Below is part (c)…

Q: 8- Char (R) = a) Char (R) b) Char (Q) c) Char (Z) d) None O a) O b) O c) d)

A:

Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: a4 (a) In 63c4 Preview (b) In Va*b*cT…

A:

Q: Determine if the table represent the one to one Runction tat 4. -4 23 41-5 -3-2 3. 4. 3. 5-1 -1 2-2…

A:

Q: 13. ху ху 14. s?t4 st 15. m²n? m'n4 |

A:

Q: If In a = 2, In b = 3, and In c 5, evaluate the following: a4 (a) In (b) In Va'b'c :

A: Given that  lna=2,lnb=3 and lnc=5 To find the following logarithmic functions

Q: If the following letters are (A B C D E M K L) how many four-letter words can be formed from these…

A: Total number of letters are 8 and four letter words are to be made. Then,…

Q: If n(B) = 24, n(A ∩ B) =5, and n(A ∪ B) = 42, find n(A).

A:

Q: If n(A) = 40, n(B) = 24, and n(A ∩ B) = 1, find n(A ∪ B).

A:

Q: If n(A) = 46, n(B) = 19, and n(A n B) = 8, find n(A u B) %3D

A: Given Data: The number of elements in set A is: n(A)=46 The number of elements in set B is: n(B)=19…

Q: Find the missing number: 1/4 X 1/4 X 1/4 = 4 X 4 X ? A) 1/1024 B) 1/64 C) 1/4 D) 4

A: A detailed solution is given below.

Q: If P(A) =.35 and P(B) = .45, then P (A∩B) A. is .10 B. is .80 C. is .20 D. Cannot be determined from…

A: Given information: PA=0.35PB=0.45

Q: If n(A) = 64, n(B) = 18, and n(AN B) = 7, find n(A U B).

A:

Q: If A = {vowels} and B {letters in the word “spare"}, = find: a) N{A} b) N{B} c) N(AN B) d) N(AUB)

A:

Q: +? 2 そ。 そいS+2-6- ッ4,ysi ャッ?-23 42

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: What numbers could replace each letter to make both of the number sentences true? Nx N= 64 Nx P= 56…

A:

Q: 4) Find x if m/DEJ = x + 51, m¿DEF = 160°, and mJEF x+ 131.

A: From figure m∠DEF=m∠DEJ+m∠JEF160=x+51+x+1312x=160-182=-22x=-11°

Q: If sM=4 and N=36, then s= a. 150 b. 6 c. 24 d. The number cannot be determined with the…

A: Given sM=4 and N=36.

Q: If n(A) = 101, n(A ∪ B) = 144, and n(A ∩ B) = 49, find n(B).

A:

Q: Given that a = (2, -3) , b = (3, 4) and c = (-1, 5) find the number.

A: Given: a = 2, -3, b = 3, 4, c = -1, 5  To find: The numbers, a) b·a-cb) b·a - b·c

Q: 6. If m2-23 = n², which of the following expressions must equal 23 ? (m+n) (m - n) .B (m- n) (m- n)…

A:

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

Q: d you will put 10 signs to his legs. How many different ways dition, you can put no signs to a leg,…

A: Given :  An octopus has 8 legs, and you will put 10 signs to his legs. n = 10, r = 8