Suppose you randomly choose a card from the first deck, add it to the second deck and then randomly choose a card from the second deck. If the card drawn from the second deck was an ace, what is the probability that the card selected from the first deck was also an ace?

Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: Given letters {A,B,J,K,X,Y}   a)Number of 5-letter word with repetition is =6×6×6×6×6=7776 ways

Q: The future of Social Security and Medicare generates a lot of debate and political posturing.…

A: Given

Q: In the Perri Manufacturing Company, 26% of the employees are sales and administration staff, and 74%…

A: given 26% of the employees are sales and administration staff and 72% are production implies…

Q: The Venn diagram of two events, E and F, is shown in a sample space S, and the number of elements in…

A: From Venn Diagram,

Q: Prove or disprove: Vm, n = R, (m) (n) = mn.

A:

Q: Three instructors, Ms. Busby, Mr. Butler, and Mrs. Hutchison, assign projects in their precalculus…

A: a) The relative frequencies are obtained below:   Busby Butler Hutchinson Calculator…

Q: In a group of 35 children, 12 have blonde hair, 13 have brown eyes, and 6 have both blonde hair and…

A: Given: Total number of children=35, Number of children having blond hair, say represented by…

Q: B. 1. Given: Quadrilateral ABCD is a parallelogram with diagonals AC and BD intersecting at E. Prove…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: The U.S. national debt (in billions of dollars) for selected years from 1980 is shown in the…

A: Given,  The US national debt in US in billion of dollars since 1980.

Q: A survey of 100 students at New England College showed the following: 46 take English. 47 take…

A: We can slove this problem with the help of Venn Diagram:

Q: Credit card companies aggressively compete for credit card holders. The percentage of Americans…

A: The table is given as  n x y x2 xy 1 0 56.0 0 0 2 3 62.4 9 187.2 3 6 66.4 36 398.4 4 9…

Q: 8. Prove that two Lambert quadrilaterals are congruent* if the acute angle and an adjacent side in…

A: The objective is to show that two lambert quadrilaterals are congruent if the acute angle and an…

Q: Consider the following. (a) In how many different ways can a player select a diamond and a spade…

A: The total number of ways selecting 2 cards is, C252=52!2!52-2!=52×51×50!2!×50!=1275

Q: let R be for of King and acR.UThen a3-a Prove all that R is commutative

A:

Q: Professor Hickey assigned two homework problems to a class of 55 students. At the next meeting, 11…

A:

Q: A. Sequences 1. Given that a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4. 2. Given…

A:

Q: List the elements of the set. (Enter your answers as a comma-separated list. Enter your answers…

A: Concept: if we want to list all the element of set, then in Roster(or listing) form we cannot repeat…

Q: On a single toss of one die, find the probability of tossing the following. (Enter your…

A: The sample space of rolling a die is S=1,2,3,4,5,6. That implies n(S)=6. a) Let A be the event of…

Q: 100 3 7+12 +3 4 D 56 : 8 +3 · 5 · 2-4 5%3D 200 : 25 +8 · 9+6.6%3D %3D

A:

Q: Use the Trapezoidal rule to compute the work done in KJ. Work is given by = [ Pav PdV W = Pressure…

A:

Q: *5. Prove that no two lines in hyperbolic geometry are equidistant from one another by showing that…

A: Hyperbolic Geometry:        It is also a non-Euclidean geometry. It is through a point not on a…

Q: Consider the following. A = {x | x is a positive integer that is a multiple of 3 and less than 30} B…

A: Given: A=xx is a positive integer that is a multiple of 3 and less than 30B=xx is a positive integer…

Q: A sales table is piled with a jumble of sweaters. The sweaters are wool, cotton, or cotton-wool, and…

A:

Q: Use matrices to represent the information in these tables and use a matrix operation to find the…

A: Consider the table of data given for July 1997. This table of data can be converted to a 3×3 matrix…

Q: A sales table is piled with a jumble of sweaters. The sweaters are wool, cotton, or cotton-wool, and…

A: In probability OR is assosiated with + AND is associated with multiplication

Q: Three instructors, Ms. Busby, Mr. Butler, and Mrs. Hutchison, assign projects in their precalculus…

A: a) The frequency of a class or observation is the number of values corresponding to it. The relative…

Q: Julia, in the Budget Office of Artwork, Inc., knows the annual sales of the company for the last…

A:

Q: A tire company has two plants, one in Dallas and one in New Orleans. The Dallas plant can make 800…

A: From the given information, the objective function is Zmin=11,000x+6,000y, Subject to the…

Q: (a) Find the break-even point for the cost and revenue functions (Enter your answer as an ordered…

A:

Q: * ?Given the following expression grammar. Which of the following is true E->E *F|F+E | F F->F -F|id…

A: The given expressions are