If. 12Pr+2 = 12P, then r = Enter your answer

Q: If X~N(μ , 5), Find μ if P(X>12) = 0.02118

A: We have given that.    X~N( μ , ?^2 )    μ = ?    , ? = 2.23607   Z-score =( x - μ )/?

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

A:

Q: Suppose a, = —4а,-1 — За,-2 — 2а,-3 аnd aд — 21, аз — -77, and as — 259. Find aj, az, and ag- az =

A:

Q: If A -B=0, implies that A*=B"

A: Given a statement

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: Show that we can have: (a) ANB = ANC without B = C. (b) AUB = AUC without B = C.

A:

Q: Suppose ?:ℝ→ℝ where ?(?) = ⌊? / 2⌋.  a. If ?={?|1≤? ≤6}, find ?(?). b. If ?={3,4,5}, find ?−1(?).

A: Consider the set A=x:1≤x≤6 and B=3,4,5.  The function Fx be x/2 is defined on ℝ→ℝ.

Q: -1 2 -2 + S = 4 If S 4 then, S? = 13x3 3 4 -4 true O False

A:

Q: If a = 1+ v3, b = 1- v3, then what is the value of a? + b? ?

A:

Q: Given that P = ) and Q = ( 2-3. Then: 3Q =

A: Given:Q=6-44-3we know that any constant multiply with matrix is each element in the matrix is…

Q: If P(B) = 0.3, P(A or B)= .06, and P(A and B)= .2, find P(A)

A: From the properties of probability, for any two events A and B we have

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: Find ST if S(-3,10) and T(-2,3).

A: Given,  S(-3,10)  and    T(-2,3)   We have to find ST.

Q: If P(A) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

Q: If 0 <0 < 2T and-6cos 0+4=4, determine the values of 0. Provide your answer below:

A:

Q: If n(A) 102, n(A U B) = 142, and n(A n B) = 44, find n(B). %3D

A:

Q: If P(A) = 0.2, P(B|A) = 0.45, P(A ∪ B) = 0.67, find P(B)

A: Given,   P(A)=.2P(BA)=.45PA∪B=.67 We have, PA∪B=PA+PB-PA∩B ⇒PB=PA∪B+PA∩B-PA…

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: If a = 3 and b= 6, then -a+ 2b = 3. %3D O True O False

A:

Q: If 0≤θ<2π and 4cos^2θ+3=7, determine the values of θ.

A: GIven that 4 cos2 θ + 3 = 7, where θ varies 0 ≤ θ &lt; 2π We have to determine the value of θ by…

Q: If b + 0, then b°

A: b0

Q: If 0 <0 < 2n and -12cos20-8 = -17, determine the values of 0

A:

Q: . If an+1 = 2an + 3 and ao = 1, then a7 509 513 496 487

A:

Q: If P(A)=0.32, P(B)=0.16, and P(A | B)=0.625, find P(A and B), P(A or B) and P(B|A).

A: This question is based on Probability formula.

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 P(A) = 0.68, P(A c B) = 0.91, and P(A n B) = 0.35, then P(B) = %3D

A:

Q: If ​P(B)=0.55​,P(A | B)=0.9​0, P(B′​)=0.45​, and​ P(A | B′​)=0.4​0, find​ P(B |​ A).

A:

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

A: Topic- sets

Q: Give the value of each of the following. A 1. 4- 2. 9-1 3. (3)-' 4. (5-)-

A: Given1.4-12.9-13.(23)-1 4.(5-1)-1    To find Value of all the subdivisions.

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: (a) If x 3, then -3x ? -9. (d) If x < -3, then –x ( ? + 3.

A: Since you have posted a question with multiple sub parts. We will solve the first three sub parts…

Q: If = 72, which equation is true? O n = 72 ÷ 9 %3D O n= 72 x 9 O n= 9÷ 72 O n= 72 +9

A: Given that n/9=72

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: If P(A) = 0.3, P(B) = 0.7, and P(A and B) = 0.2, find P(A or B). P (A or B) =

A: Given information- P(A) = 0.3 P(B) = 0.7 P(A and B) = 0.2 We have to find P(A or B)-

Q: If –8cos 0 – 4 = -4, where 0 <0 < 2n,what are the values of 0?

A: Zgeneral solution for cos x = 0 will be x = (2n+1)π/2, n∈I, as cos x has a value equal to 0 at π/2,…

Q: If the numberr of elements h=50 ৭০d । (6) = ५ and 1(5)3D41(h), then the numbor of elements -

A: Answer can be given using the simple concept of  probability.

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 n(A) = 41, n(B) = 21, and n(A n B) = 9, find n(A U B).

A: Given n(A) = 41 n(B) = 21 n(A n B) = 9

Q: If 'P; +5° p, =º P,, Find r. _10

A: Expand given expression

Q: If e7z = 26, then x =

A:

Q: If y= ex , then what will ∆y give you

A:

Q: If b ≠ 0, then b0 =_______.

A: Given: b≠0, then b0=? Concept Used: Any number power zero is one.

Q: If P (A) =0.56, P(B) = 0.6, and P(A and B)=0.41, find P(A or B). or

A: We have to find given probability

Q: Find ST if S(-3, 10) and T(-2,3).

A: Given  S=-3,10              T=-2,3   To find ST,   Let S=x1,y1 and T=x2,y2   we know, if…

Q: If x = 4 and y = 9 then h = ?                                      a = ?…

A: Given that, x= AD= 4 y=DB=9 h=DC a=BC b=Ac c=AB=x+y=13 As we know, Pythagorean Theorem,…

Q: If P (A) =0.45, P (B) =0.7, and P (A and B) = 0.4, find P (A or B).

A: Given,P(A)=0.45P(B)=0.7P(A∩B)=0.4

Q: 72,wh

A: Introduction: The division operation is the inverse of the multiplication method. In multiplication,…

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

A: Given: a=2,-3, b=3,4 and c=-1,5

Q: If P(A) = 0.5,P(B)= 0.6 and P(AnB)=0.3, find P(B) and P(ANB) %3D

A: Solution: From the given information,