According to the Chronicles of Contrived Statistics (March, 2016), the probabilit that Elon Musk will offer you a free trip into space in the next month is 24%. Th probability that either Elon Musk will offer you a free trip to space or that scienti will begin sales of pet aliens next month is 52%. Finally, they list that probability both happening in the next month is 28%. What is the probability that scientists begin sales of pet aliens next month?

Q: 9. Suppose P = spending s (in a. Is the profi $41,000? R $2000, etc.

A: Given function P = -0.1s3 + 6s2 + 400where P = profit s = spending on advertising

Q: (c) (2,-2) (1.0) (r. 8) - y (0 <1) (r< 0) 2 3 -1.5 -1.0

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is  the radius is…

Q: 1 −3 5 C= 2 2 -7 10 6 -19 -19 25 and = det (C) = 미

A: here 2 is multiply with all member of matrix  and determinat of matrix c = 2ndet(C) further…

Q: 4. Evaluate 1 2 2 ||(2x+3y +z)dxdydz 0 1 1

A:

Q: 3. (E1.7-Q8) Find A², A-2, and A-k (where k is any integer). -6 0 0 0 0 30 0 5

A: To find , , and  (where  is any integer).

Q: .5 .2 x° + 6,000x² + 1,000,000 lim 5x5 + 5,000x² X→-0

A:

Q: Expand and simplify    (i) (2k − 3)(k − 2)

A:

Q: 3. A polynomial containing exactly two terms is a(n) .......................

A: We know that, A polynomial containing exactly one term is a monomial. A polynomial containing…

Q: If A = -9 -31, then what is I + 2A + 3A² + 4A³ + 5Aª + ... ∞? 3.

A: We use definition of nilopotent matrix.

Q: 0.11 Let S(n) = 1 + 2 + + n be the sum of the first n natural numbers and let C(n) = 1³ +2³+...+n³…

A: By the method of mathematical induction we have to show  and .

Q: * Find.11 lim,(금- -2 O

A:

Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: 3 3) 4 x-= 5x - 22

A:

Q: 1. (P16, Page 11,.. ) Use the Method of Proof by Contradiction to prove that 3 ¢ Q. You may use the…

A:

Q: Ques. 2.Write down the K-T conditions for the following problem: Maximize 3 X-2x2 Subject to 2X1…

A: We are given a nonlinear optimization problem, and we have to find the the KKT-conditions for that…

Q: Find the rank of A=  (see picture attached) Ensure to explain the steps taken

A: Rank ensures the no. Of pivot elements in the matrix that is the no. Of linearly independent columns…

Q: 5. Show that 1.2+2·3+3.4+...+ (n − 1)(n) = (n³ − n)

A:

Q: What additional information would be needed in order to prove A CAT = A DOG by Side-Side-Side (SSS)?…

A: Given that △CAT≅△DOG by side-side-side(SSS) write down the additional information to be needed to…

Q: . If the circumference of a circle and the perimeter of a square are equal, then _______. (A) Area…

A:

Q: A saleswoman buys the five products say, bag, sunglass, watch, mal upplier. Let y = 78, xɔ = 25, x3…

A: A sales women buys the five products say  bag , sunglass, watch , makeup set and fountain pen from…

Q: -5 2 -2 4 5 Given A = what is the rank of ATA? 3 -4 -6 -2 -5

A: We find rank of A^TA

Q: 25. Rollerblading One day, you are rollerblading on a trail while it is windy. You travel along the…

A: 25.

Q: What is the possible value of (ꟾ -X ꟾ - X2) if (ꟾ -2X + 9ꟾ = 3)? a. -42 b. 42 c. 30 d. -30 e. None…

A: Topic:- basic algebra

Q: Particle size data for a sample of spherical particles is given as volume percentages recorded in…

A: Given that the particle size data for a sample of spherical particles is given as volume percentages…

Q: 2 Let A = then det(3AT) - 18 -6 -2 II

A:

Q: ) For each of the following statements, determine whether it is true or false. If you answer (P1,…

A:

Q: Which statement is FALSE? a. The sum of odd degrees is even b. The maximum degree is greater than…

A: Option (c) is False.

Q: Ex: 5 : R Ex: 5 € → R -5x1 – x2 – x3 T X2 x1 + 4x3 x3 Ex: 5 T -1 Ex: 5 -3

A:

Q: X- N(5,2). P(X>2) = ?. [Draw a figure]

A:

Q: 2 + 4 + 6+ . . . + 2n = n(n + 1)

A: On solving this we will get

Q: Find det(4). 1 2 2+a 3 3 3+a 3 4 4 4+a,

A: Remark:  Interchanging two rows or columns causes the determinant to switch sign. If we multiply a…

Q: by definition r(n+1) = n!

A:

Q: -1 1 1 -2 Let A= Then, ||A|l2 = Select one: a. 8+45 b. 7+45 C. 9+45 d. 10+45 2. 2.

A:

Q: 3). B = ( 1 2 4 2 :). Find 2A + 2B – 3C -4 and C = (* Given A = - 4 3 2 3

A: Given matricesA = 21243-1B = 104215C = -4213-212A + 2B - 3C = ?

Q: What do you mean by (iii) and (i). Could you be more specific?

A:

Q: Let B = -3 {CHEMED} 0 Find [x]s 3 3 and x = -8 23

A:

Q: .If a +b+c = 0, show that a x b= b x c = c x a. With one or two sentences, explain why this makes…

A: