Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win. The only
possible outcomes of the game are winning and losing.
What is the probability of winning?

Answers

Answer 1

Answer:

32.5% Win Rate

Step-by-step explanation:

I got this answer by first:

( 9 ) * x + ( -4 ) * ( 1 - x ) = 0

9x - 4 + 4x = 0

13x = 4

then finally:

13/4 = 3.25 | And to get that into percent you multiply that by 10, giving you a 32.5% win rate. or 325 / 1000. Meaning you will win 325 out of 1000 games you play. Hope this helped!

Answer 2

Probability of winning is 0.69.

What is probability?

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

According to the question

Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win.

The only possible outcomes of the game are winning and losing.

The probability of winning = [tex]\frac{9}{4+9}[/tex]

= [tex]\frac{9}{13}[/tex]

= 0.69

Hence, probability of winning is 0.69.

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Related Questions

You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 1.1 feet long, if the remaining piece needs to be 2.30 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.

Answers

Answer:

The board should be 4.7 feet long.

Step-by-step explanation:

To find the remaining piece, you just multiply 1.1 by 2.3 which is 2.53. That's the length of the remaining piece.

Then you add all the pieces together.

1.1+1.1+2.53 =

4.73

Round and add label.

4.7 feet

3. Identify the property of real numbers.
The cost of one item sold for $14.50 is $14.50.

Answers

Answer:

$14.50

Step-by-step explanation:

Is the answer because we don't put a decimmel pint after the number

The property of real numbers demonstrated in the given statement is the "Reflexive Property of Equality."

The Reflexive Property of Equality is one of the fundamental properties of real numbers, stating that any real number is always equal to itself. In mathematical terms, for any real number 'a,' the Reflexive Property is expressed as:

a = a

This property is self-evident, as it simply means that any quantity or value is identical to itself. In the provided statement, the cost of one item sold for $14.50 is precisely $14.50, showing that the item's cost is equal to itself.

To further illustrate this concept, consider any real number 'x.' According to the Reflexive Property, we have:

x = x

This applies to all real numbers, whether they are whole numbers, decimals, fractions, negative numbers, or irrational numbers. For example:

1 = 1

5.3 = 5.3

-2 = -2

π = π (pi)

No matter what value 'x' represents, the Reflexive Property holds true for all real numbers. It is a fundamental principle that underpins many mathematical operations and proofs.

In summary, the Reflexive Property of Equality states that any real number is equal to itself. The given statement, "The cost of one item sold for $14.50 is $14.50," exemplifies this property, showing that $14.50 is indeed equal to $14.50, thus reaffirming the reflexive nature of real numbers.

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Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add?


Original
(Gallons)
Added
(Gallons)
New
(Gallons)
Amount of Detergent
1.98
0

Amount of Solution
11
g


StartFraction 1.98 Over 11 + g EndFraction minus StartFraction 12 Over 100 EndFraction = 1
StartFraction 1.98 Over 11 + g EndFraction + StartFraction 12 Over 100 EndFraction = 1
StartFraction 11 + g Over 1.98 EndFraction = StartFraction 12 Over 100 EndFraction
StartFraction 1.98 Over 11 + g EndFraction = StartFraction 12 Over 100 EndFraction

Answers

Answer:

its A

Step-by-step explanation:

i took the quiz :)

Answer:

B on edge 2022

Step-by-step explanation:

for the math experts again!

Answers

Answer:

985

Step-by-step explanation:

The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.

Help plsssssssssssssssssss

Answers

1. 4/4 Equal to
2. 7/5 More than
3. 2/3Less than

If the number is less than a 1, it’s going to be less. If the number is greater than 1 it will be more. I’m this case, you can just look at what’s being multiple and apply that rule- so just excuse the 7/75.

Frances earns $9.25 an hour at his part-time job. Last week he worked 16 hours.
What was his gross pay for the week?

Answers

Answer:

$148

Step-by-step explanation:

$9.25 x 16 hours = $148

The answer will be £148

On Monday the price of gas is $3.50 on Tuesday the price drop my $.50 and I won’t say the price increase by $.65 or I am Santa edition equation to show final price of gas

Answers

If on Monday it is $3.50 and the price dropped down on Tuesday by $.50 It would be $3.00 if on Wednesday it increases by $.65 it would be $3.65

please help questions on picture​

Answers

Answer:

32  

Step-by-step explanation:

4+8 = 12  

12 + 6 = 18

18 x 2

= 32

hope i helped you!

How many cups of 15% juice
must be added to 10 cups of
20% juice so that the mixture is
17% juice?

Answers

Answer:

15 cups

Step-by-step explanation:

20% of juice has:

10*0.2 = 2 cups of extract

If x cups of juice added we'll have:

2 + x*0.15 = 0.17(10 + x)2 + 0.15x = 1.7 + 0.17x0.17x - 0.15x = 2 - 1.70.02x = 0.3x = 0.3/0.02x = 15

Solve the x 2/3x +5 1/2 = -10

Answers

Answer:

x = 2/3x + 5 1/2 = -10 = x = -93/4

Step-by-step explanation:

please help i hate geometry

Answers

Answer:

a) 4/5 b) -3/4

Step-by-step explanation:

lines that are parallel have the same gradient. So the gradient is 4/5

Lines that are perpendicular have "opposite reciprocal" gradient: flip the sign, then flip the numerator and denominator (top/bottom). So the gradient  is -3/4

Answer:

a) 4/5 b) -3/4

Step-by-step explanation:

lines that are parallel have the same gradient. So the gradient is 4/5

Lines that are perpendicular have "opposite reciprocal" gradient: flip the sign, then flip the numerator and denominator (top/bottom). So the gradient is -3/4

need help on calculus

Answers

Answer: 3

Step-by-step explanation:

an acute angle is an angle which is_______

Answers

Answer:

less then 90º

Step-by-step explanation:

an acute angle is an angle which is less then 90º

Less than a 90 degree angle

Can someone please help me!

Answers

Step-by-step explanation:

x1=6

y1=8

x2=1

y2=6

then ,

distance =

[tex] \sqrt{(6 - 1) {?}^{2} { + (8 - 6)}^{2} } \\ \sqrt{25 + [/tex]

What’s -2 + -9 =
please help me because tomorrow i have a test in math class , about integers and someone please explain too me . thank you if anyone can help

Answers

Negative 2 plus Negative 9 is negative 11. You are adding to negative integers, therefore it will get less.

Answer:

-11

Step-by-step explanation:

-2+-9=

add like terms

-11

How tall are redwood trees? ( statistical not statistical​

Answers

Answer:

It's a statistical question.

and there between 250-300 feet.

Unit 1 : Algebra basics Homework 1: the real numbers

Answers

Real numbers may be explained as all set of numbers which may be used for counting, fractions or decimals. Real numbers may be any set of natural, whole, integer, rational or irrational numbers.

NATURAL NUMBERS which are all set of positive whole numbers from 1. Examples : (1, 3, 5, 8, 100)

WHOLE NUMBER are set of all natural numbers .while numbers also include the value value (0, 1, 200, 500) are whole numbers

INTEGERS : include all positive and negative natural or whole number values. They include (-1, - 10, 10, 5)

RATIONAL numbers are real numbers which can be expressed in the form m/n where both m and n are integer values and the denominator, n ≠ 0 Examples : (1/2, 0.9, 10/1, √4, 3.5)

IRRATIONAL numbers are real numbers which are not integer values and cannot be expressed in the form m/n Non-terminating and non-repeating decimal numbers are IRRATIONAL numbers. (√3, 1.43136..., 1.4141..., π)

Learn about similar question on : brainly.com/question/5305024

5(n-7)=2(n+14) with steps

Answers

Answer:n =21

Step-by-step explanation:

Is this right answer??

Answers

Yes that is correct

HELP WITH B, C, & D PLS: g(x) = 2x2 + 5x + 1, find: -3g(3)

Answers

B
Answer
24f+7g

Explanation

Multiply each number 4 time 6 equal 24 and 7 time one equal 7…

سر
.
A particular satellite is 15 m wide. A model
of it was built with a scale of 1 cm: 5 m.
How wide is the model?

Answers

Answer:

3cm

Step-by-step explanation:

A particular satellite is 15 m wide

Model of it was built with a scale of 1 cm: 5 m

=> scale of the model will be: 1/500cm and  A particular satellite is 1500 cm wide

=>1500*1/500=3(cm)

Solve the equation without using the Distributive Property.
8(x-3)= 16
x -3 =
please show an Example because Im lost... lol

Answers

8(x - 3) = 16

Distributive property says that,

a(b - c) = (a * b) - (a * c)

Using distributive property, you should multiply both the numbers or variables in the bracket.

Which is,

(8 * x) - (8 * 3) = 16

8x - 24 = 16

8x = 16 + 24

8x = 40

Taking 8 from 8x to the LHS from the RHS.

x = 40/8

hence, x = 5

Hope this helps. If you have any questions plz let me know.

2x(5-x)+3x^2
shown work please

Answers

[tex]\\ \rm\Rrightarrow 2x(5-x)+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x-2x^2+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+(-2+3)x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+x^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+10[/tex]

2x(5-x)+3x²
=x(2(5-x)+3x)
=x(10-2x+30x)
=x(10+x)

OR

2x(5-x)+3x²
=10x-2x²+3x²
=10x+x²

Hope my answer helped u :)

Solve the equation 7 (x+3) = 72-4 how may solutions does it have​

Answers

Answer:

x = 47/7 or 6.714

Step-by-step explanation:

7 (x+3) = 72-4

7x + 21 = 68

7x = 68 - 21

7x = 47

x = 47/7 or 6.714

This three pleaseee

Answers

Answer:

Hi. 6.2 is rational

Step-by-step explanation:

Irrational numbers never end. They go on forever.

x^3*x^8=x^11 (When you multiply, add the powers)

First one is x^11 and the second one 13/50

Find the value of ab when a=1/10 and b=7/10​

Answers

Answer:

7/100

Step-by-step explanation:

ab = (a) x (b) = (1/10) x (7/10) = 7/100

the sum of three consecutive even integers is less than or equal to 42. find the largest set of these numbers

Answers

Answer:

13, 14, 15

Step-by-step explanation:

13 + 14 + 15 = 42

Better explanation:

n + (n+1) + (n+2) = 42

42 - 2 - 1 = 39

n + n + n = 39

3n = 39  divide by 3 to isolate n

n = 13

So it starts with 13 and goes up from there.

please help me with these questions I am begging anyone please help

(a)• production cost of a wooden cupboard is Rs.30,000.the manufacturer marked the price in order to obtain a 20% profit .if the payment is done outright 2% discount is given

questions


(1) what is the marked price of the cupboard?

(2) what is the outright price of the cupboard?

(3) find the price percentage gained by selling the cupboard for outright price ?

(b)• a furniture seller asks for 5% commission to sell 5 cupboard of Rs.35.000 each find the commission he receives



please help me ​

Answers

Answer:

1)rs.6000

Step-by-step explanation:

1)30 000*20/100=rs.6000

Sorry I don't know the answers for other questions cause I don't know outright price

2/9+1/3 thx for helping I need ASAP

Answers

Step-by-step explanation:

[tex] \frac{2}{9} + \frac{1}{3} \\ by \: taking \: out \: the \: lcm \: of \: 9 \: and \: 3 \: \\ we \: get \: 9\: as \: lcm \\ now \\ \frac{2 \times 1 + 1 \times 3}{9} \\ \frac{2 + 3}{9} \\ \frac{5}{9} [/tex]

(a) Find the slope of the curve y= x^2 - 2x - 3 at the point ​P(2​,​ -3) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(2, -3)

Answers

Answer:

Step-by-step explanation:

P=(2,-3)

Q=(a,a²-2a-3)

[tex]\Delta y=a^2-2a-3-(-3)=a^2-2a\\\Delta x=a-2\\\\\displaystyle \lim_{a \to 2} \dfrac{a^2-2a-3-(-3)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a^2-2a}{a-2} \\\\=\lim_{a \to 2} \dfrac{a(a-2)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a}{1} \\\\=\lim_{a \to 2} a \\\\=2\\[/tex]

Proof:

y'=(x²-2x-3)'=2x-2

y'(2)=2*2-2=2

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