4. Which of the following statements is/are true. a. When o is divided by a constant, the result is zero. b. When o is multiplied by a constant, the result is oo. c. When o is added to a constant, the result is constant. d. When a constant is divided by ∞ , the result is zero. Select one: O a. band c O b. d only O c.a only O d. band d

Q: If P(A) = 0.33%, P(B) = 0.79%, and A and B are mutually exclusive, what is P(A ∩ B)?

A:

Q: Given n(S)=31n(S)=31, n(T)=18n(T)=18, and n(S∪T)=45n(S∪T)=45, determine n(S∩T)n(S∩T).

A:

Q: Given s(t) = t3 − 5t + 8, evaluate. s(−1)

A:

Q: t+1, if 0 <t< 5 4 - s(t) = %3D 3/5VE - 51 if 5 <t < 10 4.

A:

Q: If "C, = "C,, then n is equal to 4.

A:

Q: Show that the following four conditions are equivalent :(i) A ⊂ B…

A:

Q: Let A = 2 and U = H Then A2017U is equal to A D

A: Given A = -120-1  and  U = 10

Q: If m ∠ D R C = ( 5 x + 42 ) ∘ and m ∠ C R A = ( 2 x + 75 ) ∘, then x =____?

A: Given,         ∠DRC=5x+42° and ∠CRA=2x+75°

Q: 4. 12 Dovin coue that rinco th e diaa cuG + hat ince tho

A:

Q: Given P(E or F) = 0.66, P(E) = 0.26, and P(E and F) = 0.07, what is P(F)?

A:

Q: o(12) is equal to: O Option 1 O 27 O 28 O None of the choices

A:

Q: Given P(E or F) = 0.92, P(F) = 0.20, and P(E and F) = 0.10, what is P(E)?

A: Given : P(E or F) = 0.92, P(F) = 0.20, and P(E and F) = 0.10

Q: Disprove by Contradiction If a,b,c ∈ ℕ, then at least one of a-b, a+c and b-c is even.

A:

Q: D. Two cylinders each with a height of 50 inches are shown. 50 in. Which statements about cylinders…

A: Volume of a cylinder = π·r2·h where r is radius and h is height of the cylinder.

Q: Given P(E or F) = 0.55, P(E) = 0.46, and P(E and F) = 0.03, what is P(F)?

A: Given P(E or F) = 0.55, P(E) = 0.46, and P(E and F) = 0.03, what is P(F)?

Q: . Given P(E or F) = 0.66, P(F) = 0.12, and P(E and F) = 0.06, what is P(E)?

A: Given, P(E or F) = 0.66 P(F) = 0.12 P(E and F) = 0.06 P(E)=?

Q: Suppose that S = { x | x ∈ N , and 3 ≤ x ≤ 260 }  What is | S |

A:

Q: Given P(E or F) = 0.18, P(E) = 0.40, and P(F) = 0.46, what is P(E and F)?

A: Solution-: Given: P(E or F)=0.18, P(E)= 0.40, P(F)=0.46  We want to find P(E and F)=?

Q: A management consultant estimates that the number h of hours per day that employees will work and…

A:

Q: If t = 12, then Y12 = 4, 727, 272e (In 1.17 10 12 5,707, 340

A:

Q: Given P(E or F) = 0.50, P(E) = 0.41, and P(E and F) = 0.12, what is P(F)?

A:

Q: Given P(E or F) = 0.17, P(E) = 0.33, and P(F) = 0.48, what is P(E and F)?

A: General addition rule is given by:

Q: Given P(E or F) = 0.79, P(F) = 0.40, and P(E and F) = 0.07, what is P(E)?

A: Let E and F are two events The known probabilities are,        P(F)   = 0.40, P(E or F)  = 0.79, P(E…

Q: Given P(E or F) = 0.04, P(E) = 0.35, and P(F) = 0.26, what is P(E and F)?

A: Given Information P(E or F) = 0.04 P(E) = 0.35 P(F) = 0.26 P(E and F)

Q: oçeztezao elsewheren ts p-dif- Fint fre ţ <x< ) and frt-s<*)

A: Given that  The probability density functions of X is  f(x)=2x  , 0&lt;x&lt;1          = 0   ,…

Q: 8. A recent survey askec According to the surve for a raise; and of tho raise. If a woman is se a. P…

A: Let the two events be defined as : A and B such that, A = asking for rasieB = got a raise a.…

Q: Nohe that in a veeter spae 6 said te be

A: Please check step 2 for the solution.

Q: Given P(E) = 0.45, P(F) = 0.44, and P(E and F) = 0.11, what is P(E or F)?

A: P(E or F) = P(E) +P(F) - P(E and F)

Q: 4. Suppose n ( U)=180, n ( A ) = 42, and n ( B) = 78. Ifn (AU B) = 100, find n(A B). %3D A B.

A:

Q: Suppose, X|0~ Binom(10,0) and o~U (0, 0.25), then E(Y)is equals to, a) b) 2.15 1.25 5.02 10.06

A: Answer: b) 1.25.

Q: For the following Venn diagram, what is p{(AU B)C}? C. 0.24 0.06 0.08 0.04 0.23 0.23 0.07 A 0.914…

A: See the handwritten solution

Q: 4. Which of the following is a reasonable domain for how many people can safely travel in a compact…

A:

Q: Which of the following is equal to C(200, 50) C(150, 50) О С(200,100) O C(200, 150) O C(150,100)

A: The formula for C(n,r) is evaluated as C(n,r) =n!n-r!·r! C200,50 = 200!200-50!·50! = 200!150!·50!

Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?

A:

Q: 2. Prove or disprove the following. (a) For all r, y E Z, if xy + x is odd, then x and y have…

A:

Q: If P(A) = 0.45, P(B) = 0.40, and if A and B are independent, then P(AUB) equals

A:

Q: 2. In © Q, MN = 7, NO = 28 and MP = x + 5. Find x. M N P

A: Given : In given ⊙Q,              MN = 7, NO = 28 and MP = x + 5

Q: Given P(E) = 0.29, P(F) = 0.49, and P(E and F) = 0.15, what is P(E or F)?

A: Addition Theorem of Probability P( A U B ) = P(A) + P(B) - P(A n B)

Q: Nhich of the following is true? * If A = (x: x [B| |A| < |B[ |A|

A: To solve the following problem, we use the defination of cardinality of a set. Cardinality of a Set…

Q: Peter deposit $400 nie an ACCout uuth ninterA He hen begins to Cshmate ha m geul il collect w ista…

A: Given data is : P=$400r=6% Compounded annually, therefore n=1 To find the amount after 10 years t=10…

Q: Answer the following muitiple-choice awestion belonw algubra 200 2 1- 402 -200 15 equal to: Al (2 B)…

A: We need to find product of matrix.

Q: If F=, and S: r=, Osus10svsa/2. Then FondA is equal to O a. 2 O b. O C. 1 O d.-1

A: Given F→=0,cosz,cosyand S: r→=u2,u,v, 0≤u≤1, 0≤v≤π2

Q: Which of the following is equivalent to the statement "If any book that any member has checked out…

A: The statement given is as follows: "If any book that any member has checked out is overdue, that…

Q: 2. Suppose A and B are independent. If Pr[A ∪ B] = .6 and Pr[A] = .4, find Pr[A ∩ B Compliment]

A: Given that, P(A U B) = 0.6 P(A) = 0.4

Q: If P(A) = 0.36%, P(B) = 0.61%, and A and B are mutually exclusive, what is P(A ∩ B)?

A: We have given that,  A and B are Mutually exclusive events and P(A) = 0.36%, P(B) = 0.61% then,  We…

Q: Let 38c2 312 3 3104 S = 1+ 3°c + 2! 3! 4! If In S = 2187, then find c. 23 O 7 27 31 47 19

A:

Q: In O Q, MN = 7,NO = 28 and MP = x + 5. Find x. M N P

A: We know that, if a tangent segment and a secant segment are drawn to a circle from an exterior…

Q: Given P(E or F) = 0.06, P(E) = 0.15, and P(F) = 0.44, what is P(E and F)?

A: Solution: From the given information, P(E or F)=0.06, P(E)=0.15 and P(F)=0.44.

Q: Given P(E or F) = 0.52, P(E) = 0.26, and P(E and F) = 0.19, what is P(F)

A: P(E or F) = 0.52 P(E) = 0.26 P(E and F) = 0.19

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.