find​ Pr[A ∩​ B].

Q: Find all values of x for which rank(A) = 2. 2207 A = 8 || -4 -2 x -7 -6 -4 -2 -14

A:

Q: Find x, and x2. -1 -3 Xq 13 5-1 X2 -31 X2 3=

A:

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

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

Q: For S = {3, 4}, find g(S) and g-1(g(S)).

A: Given that, S = {3, 4}

Q: Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive? Why or why not.

A: We know that, mutually exclusive events are  events which can not happen at the same time.

Q: For fx) = x+6, find each of the following a. (-1) e. (for xs97) (5) a. f-1)-5 b.r (5)-0

A: Given query is to find the indicated valen do the function.

Q: If P (A)=0.6, P (B)=0.1, and A and B are mutually exclusive, find P (A or B).

A:

Q: A salesperson gets a commission of $1,600 for the first $10,000 of sales, and then $800 for each…

A:

Q: p(a)= 0.7 p(b)=0.2 and A and B are mutually exclusive, find p(A and B)

A: Given that  p(A)=0.7 , p(B)=0.2

Q: If P(A) = 0.7, P(B) =0.2, and A and B are mutually exclusive, find P (A or B). P(4 or B) = D

A:

Q: Let f(x) = x³ – 6x ln x + 6x + 1000. Find all x-coordinates of the inflection points. O x = -1 and x…

A:

Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

A:

Q: Let, A = [ 1 2 x 3 −1 2 ] and B = [ x y 1 ]. If AB = [ 6 8 ], find x and y.

A: Let, A = [ 1 2 x3 −1 2 ] and B = [xy1]. If AB = [68], find x and y.

Q: Let P(x) = ax² + bx³ + x +1 where a and b are real numbers. Find values of a and b such that P(2i) =…

A:

Q: If P(A) =0.7, P(B) = 0.1 and A and B are mutually exclusive, find  P(A and B)

A: From the provided information, P (A) = 0.7, P (B) = 0.1

Q: If K(x) =|x- 3|+x, find K(-1).

A: Using the property of mod function,

Q: C. Given f(x) = 3 – 2x – x2, Determine each of the following. a.) f(-6) b.) f c.) f(x²) d.) f(x – 1)

A:

Q: Given that ƒ (-2) = −10, find ƒ−¹ (−10).

A: The answer is in step 2.

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: Find the Domain of 1, if f(=) 0(s-6) %3D O Domain: y is all real numbers O Domain: y N0 O Domain: NO…

A: Given f(x)=6(x-6)2 To find f-1, assume y=f(x) then swap variables to find f-1

Q: Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

A:

Q: If P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7, find P(ANB). P(AUB).

A:

Q: Given that a + bv3 = V151+ 28V3, where a and b are positive integers, calculate the value of a and…

A: To find- Value of a and b.

Q: Solve for for the equation y = aln(x + )+ 4tan(;)– 2x O a. T O b. In(4 + x) O c. none of these O d.…

A:

Q: Given f(x) = 3– 2x – x, Determine each of the following. C. a.) f(-6) b.) fG c.) f(r*) d.) f(x-1)…

A: Topic = Functions

Q: Find x. A (2x – 15)* (2x 15)° - C

A:

Q: If [x² - 2x + a] = 0 has no solution, then find where [] represents the greatest integer).

A:

Q: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

A:

Q: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: L{t(u0 – u1) + t²u1}.

A:

Q: On the set of real numbers x2 + y2 = 1 Function. If x is a real number and y is an integer number:…

A:

Q: (6],[X]=[4],

A: [6]10 [x]10=[4]10   Implies, [x]10 = [4]10  or [9]10

Q: For z = -V3 - j3, evaluate

A: Given that , z=-3-j3 evaluate 1z*e-jπ2

Q: If + =], then a d is equal to L8 L8 d.

A:

Q: If det(A) = 2, find det(A5).

A: Given:detA=2det5A=?FORMULA:detcA=c detA