A certain game consists of rolling a single fair die and pays off as​ follows: ​$88 for a​ 6, ​$22 for a​ 5, ​$11 for a​ 4, and no payoff otherwise. Find the expected winnings for this game.   The expected winnings for this game are ​--. ​(Round to the nearest​ hundredth.)

Q: List all values of x for which each rational expression is undefined.

A: Given information:The given function is as shown below: 

Q: Let x represent one number and let y represent the other number. The sum of two numbers is 9. If one...

A: Given x and y are two numbers.Sum of x and y= x+y. So, x+y=9

Q: The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of ...

A: Drag force F directly varies with surface area A and square of the speed s.Wet surface area of boat ...

Q: Evaluate the expression without using a calculator. log5( log232 log 5 ( log 232) Enter your answer ...

A: Given expression is, 

Q: Suppose that the functions u and w are defined as follows. =u(x)=x^2+6 w(x)=√x+1 Find the following....

A: Given information:The function u and w defined asu(x)=x^2+6w(x)=√x+1

Q: For f(x) vx and g(x)=x-4, find the following functions. a. (fo g)(x), b. (gof(x); c. (f o g)(5); d. ...

A: Given that two function:

Q: A pet store offered a baby monkey for sale at $1.25. The monkey grew, and the next week it was offer...

A: The amount of baby monkey is $1.25; the next week it is offered at $1.89.Then, raised to $5.13, then...

Q: #23

A: Given: The point that the line passes through is (−2,3).The equation of the line which is perpendicu...

Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a fun...

A: (a)We have to find the time taken by the ball to reach at maximum height.The height function of the ...

Q: #32

A: Question: To write the equation of a line in Slope-Intercept form and Standard form that has a slope...

Q: The following equation is given. x3-3x-4x+12=0 X a. List all rational roots that are possible accord...

A: a. Find the possible rational roots.

Q: In 2000, 51% of the residents in a large city regularly used newspapers for getting news and this ha...

A: It is given that the percentage of Residents who get news by reading newspaper is 51%.It is also giv...

Q: K

A: Given,

Q: Solve for x: 3x+1 = 27

A: The equation is given by,

Q: Simplify the difference quotient f(x)−f(a)/x−a for the given function.   f(x)=2-6x-x^2

A: The given function is f (x) = 2– 6x – x2. Substitute x = a in f (x) = 2– 6x – x2 to obtain f (a). f ...

Q: How do I solve 6x/x-6 =9 +7x2/x-6?

A:

Q: Write the quotient in standard form: f (x) = 5+i / 5−i

A: we are given a complex value as 

Q: Evaluate the following expression without using a calculator. log 93 log g3=(Type an integer or a fr...

A: Given expression is, 

Q: #33

A: The slope-intercept form is y=mx+b. Given that slope=m= 3/5 . And it passes through (-7,-12). We can...

Q: 33 and 34

A: (13)      Let Felix invests $ x amount at 7% annual interest and then according to question, the amo...

Q: How do i solve  -2(3y-2)-4 = -4(y-2)

A: Refer to the question, here we have to find the value of y for the provided equation,

Q: A motorboat travels 216km in 4 hours going upstream and 520km in 5 hours going downstream. What is t...

A: let the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:Speed...

Q: The length of a rectangle is seven more than it’s width. If the area of the rectangle is 170sq cm, w...

A: Let the width of a rectangle be x cm.Then the length will be (x + 7) cm             [because, length...

Q: Scientific notation is a common way of writing very large numbers. In everyday life we see this when...

A: (1)It is given that phone has 10 GB (gigabytes) free storage:Since,

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.7 meg...

A: Given that a  Web music store offers two versions of a popular song. The size of the standard versio...

Q: Write a linear combination that shows possible combinations of p and nthat can be used to purchase t...

A: It is given that, the total amount used to purchase candy is $0.96.Also,

Q: 72 voters are asked to rank four brands of soup: A, B, C, and D. The votes are summarized in the fol...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: Let A1, A2 and A3 be mutually exclusive and exhaustive events of some sample space S, where P(A1) = ...

A: In this question, it has been given that A1, A2 and A3 are mutually exclusive and exhaustive events....

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a distance, rate, time problem using a system of linea......

A: Let speed of the boat is x and the speed of the current is y.

Q: Condense the expression to the logarithm of a single quantity. log x −2log(x +1)

A: Given, 

Q: Determine the domain of the function f (x) = 1 − x.

A: The domain of f(x)=1-x is the possible values of x.

Q: Evaluate the piecewise function at the given values of the independent variable. 2x+5 if x <0 f(x) 3...

A: -3&lt;0 so we will use f(x)=2x+5 to find f(-3)Answer(a): f(-3) =-1 

Q: Step by step explanation how to solve this problem.

A:

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =2x"-11x +4 has a real: zero bet...

A: We first have to find f(-2).

Q: (2-4i)(5-7i) =

A: The steps  of simplification are shown on board. Here we se the result i^2 =-1 and then collect the ...

Q: Factor the algebraic expression 4/10 1/10 X - X

A: Given algebraic expression is,x4/10-x1/10

Q: The parent function f(x)=x3 is related to g. Use function notation to write g in terms of  f. g(x)=(...

A: The parent function f(x)=x3

Q: The hypotenuse of a right triangle is 5 ft long. The shorter leg is 1 ft shorter than the longer leg...

A: The length of the hypotenuse of right triangle is 5 ft.Let the length of longer side is x ft.Let the...

Q: 33) Use the numerical representation of f(x) below to give a numerical representation of g(x)-f(2x) ...

A: To evaluate g(x) at various points using the definition in terms of f(x)

Q: Solve the equation by factoring. Please explain how you did your work. 4x2+11x-45=0.

A: We have to compare 4x^2+11x-45=0 with ax^2+bx+c. So, a=4 , b= 11 , c = -45. In ax^2+bx+c form we hav...

Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given ...

A: Calculation:The given quadratic function is f(x)=4(x–5)²–3 , which is the parabola.let the function ...

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: We have been given a system of linear equation in 3 variables that we need to solve.

Q: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, ...

A: Consider the provided function.

Q: Over the last 3 evenings, Amanda received a total of 77 phone calls at the call center. The third ev...

A: Let she received x calls on the first evening. The third evening she received 8 calls more than the ...

Q: Question 14

A: (a) Known fact is that the dim of E1+ E2 is the sum of the dim of  E1 and E2 minus dim of their inte...

Q: Find the quadratic function y ax +bx+ c whose graph passes through the given points. (-2,14), (1,-7)...

A: Given that, 

Q: Condense the expression to the logarithm of a single quantity (a) ln2+ln x

A: The given expression is,

Q: Which expression is equivalent to162   Question 6 options:   6¯10 • 68    ...

A: This expression is not equivalent to 162.

Q: find the equation of a circle whose diameter has endpoints (-3,-3) and (-3,6)

A: We have been given endpoints of diameter of circle as (-3,-3) and (-3,6) and we need to find the equ...

Q: Find the domain of each of the functions below. f (x) = 5x^2 +2x −1 f (x) = 1−2x^ 2 f (t) = 4/ t

A: Given information:The given function is shown below:a) f (x) = 5x^2 +2x −1b) f (x) = 1−2x^ 2c) f (t)...

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.