There is a game at the carnival that costs $20 to play. There are two outcomes: either you win $100 , or you lose. To play you roll a die. If a six appears you win; all other rolls you lose. if 1000 people played this game during one afternoon what would you expect to be the outcome?

A. the game earns $3330

B. the game earns $1660

C. the game loses $3330

D. the game loses $1660

Answers

Answer 1

Outcome on winning = $100 - $20 = $80
Outcome on losing = $20

Probability of winning = 1/6
Probability of losing = 5/6

Expected Value = 1/6 (80) +5/6(-20) = -3.333

This shows on average from each game, the game earns $ 3.333.

So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330

So, the answer to this question is option A

Answer 2

Correct answer is Option(A) . The game earns $3330

Carnival Game Expected Outcome

To determine the expected outcome, we first need to calculate the expected value of playing this game once.

The cost to play is $20. If a six is rolled, the player wins $100; otherwise, they lose their $20.

Calculations:

Probability of rolling a six = 1/6Probability of not rolling a six (1, 2, 3, 4, or 5) = 5/6

Expected value (EV) for one game:

EV = (1/6 x ($100 - $20)) + (5/6 x (-$20))EV = (1/6 x $80) + (5/6 x -$20)EV = $80/6 - $100/6EV = -$20/6EV ≈ -$3.33

This means that on average, each player loses approximately $3.33 per game.

Outcome for 1000 Players

If 1000 people play the game, the total expected loss for the players will be:

Total Expected Loss = 1000 x EVTotal Expected Loss ≈ 1000 x (-$3.33) = -$3330

Therefore, the game earns approximately $3330.

Related Questions

Which pair of triangles can be proven congruent by using the HL theorem?

Answers

Answer: figure C.

Explanation:

The HL theorem is the hypotenuse leg theorem.

The HL theorem is referred to the congruency of right triangles.

This theorem states that two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

Figure A shows the congruency of two pairs of legs. So, this is not the answer.

Figure B shows the congruency of one pair of legs and one pair of angles. So, this is not the answer.

Figure C. shows the congruency of the two hypotenuses and one pair of legs. So, this is the righ answer.

You earn $56 for washing 8 cars. How much do you earn for washing 5 cars?

Answers

You earn $56 for washing 8 cars.

First find out how much you earn washing one car. Divide 56 with 8

56/8 = 7

You earn $7 for washing 1 car.

Now find out how much you earn washing 5 cars.

7/1 (being $7 per 1 car)
5/5 (amount of cars washed)

7/1 x 5/5 = 35/5

For 5 cars, you earn $35.

$35 is your answer

hope this helps

Hello there!

$56 = 8 cars
$x = 5 cars

Now we can do cross multiply

8 * x = 5 * 56

8x = 280

Now we can divide both sides by 8

8x/8 = 280/8

x = 35

Thus,

You earned $35 for washing 5 cars!

Henry cut a piece of yarn that was 11/6 into two pieces. List to different pairs of fractions that could show the lengths , in feet , of the two pieces.

Answers

you could have 11/12 or 22/24

6.
Valdez Construction signed a note with a payment of $5,200 per quarter for 5 years.
Find the amount they must set aside today to satisfy this capital requirement in an account earning 8% compounded quarterly.

$30,506.32

$126,346.32

$51,054.38

$85,027.44

Answers

If P = Periodic payments done quarterly (that is, four time in a year) = $5,200, n = number of years (5), R = Annual interest rate = 8% = 0.08, and A = Amount to be set aside today, then

A = P [1-(1+R/4)^4n]/(R/4) = 5200 [1-(1+0.08/4)^4*5]/(0.08/4) = $85,027.45

Therefore, Valdez construction should set aside $85,027.44 now to satisfy the capital requirement.

simplify 3.2-5.1n-3n+5

Answers

The answer is
-8.1n+8.2

To do this you have to combine terms that are alike

3.2+5= 8.2
-5.1n-3n= -8.1n

Now you combine the two and get an answer of -8.1n-8.2

Two friends bring hamburger meat to your cookout. One brings 2.7 pounds, and the other brings 3.54 pounds. How much hamburger meat do they bring?

Answers

Answer:
They bought 6.24 pounds of hamburger meat

Explanation:
We are given that:
The first friend brought 2.7 pounds of hamburger meat
The second friend brought 3.54 pounds of hamburger meat

The total amount of hamburger meat they both brought would be simply the summation of what they brought individually.

This means that:
Total amount brought = 2.7 + 3.54
Total amount brought = 6.24 pounds of hamburger meat

Hope this helps :)

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+ By=C. (3,2) and (5,8)

Answers

The equation of the line passing through points (3,2) and (5,8) in the form of Ax+By=C will be written as follows:
equation of the line is given by the formula:
a(x-x1)=y-y1
where a is the slope
a=(y-y1)/(x-x1)
thus using our values:
a=(8-2)/(5-3)=6/2=3
thus the equation of the line will be:
3(x-3)=y-2
simplifying the above and writing in the form of Ax+By=C we shall have:
3x-9=y-2
3x-y=-2+9
3x-y=7
thus 3x-y=7 is in the form of Ax+By=C where A=3, B=-1 and C=7

Which description best describes the three-dimensional object that is formed when the segment is rotated about the axis as shown?

an oblique cylinder
a cone with an open base
a triangular prism
a hollow pyramid

Answers

Second option is correct. A cone with open base is formed when the segment is rotated about the axis as shown in figure.

What is solid revolution?

A solid revolution is a three dimensional figure obtained by rotating a two-dimensional figure or (curve) around a straight line(called the axis) that lies in the same plane.

According to the question

If we see in the given figure, there is a triangle about a vertical line. As the triangle is revolved about a line, the vertices A and C remain stationary. While the vertex B which follows the path of circle. As the triangle rotates, AB creates the outline of cone.

Hence, Option second is correct i.e. a cone with an open base.

Learn more about the solid revolution here:

https://brainly.com/question/24201856

#SPJ2

Answer: A cone with an open base.

Step-by-step explanation:

The correct answer is a cone with an open base. When this segment is rotated around the axis as shown, the three-dimensional object formed will be a cone with no base. If you imagine mirroring the segment shown, you will create a triangle with no base. Next, if you imagine spinning this triangle around, you will be left with a cone. Since the segment does not connect to the axis at the bottom, the resulting cone will have an open base.

A visual example of a cone is attached below.

Find the lengths of the sides of the right triangle?

Answers

You can guess from your knowledge of Pythagorean triples that the triangle is a 5-12-13 right triangle. Since one side is 7 less than the other, this guess is confirmed.

The lengths of the sides are:
2x = 12
2x -7 = 5

_____
You can use the Pythagorean theorem to write the relationship between the sides.
(2x)² +(2x -7)² = 13²
4x² +4x² -28x +49 = 169 . . . . . eliminate parentheses
8x² -28x -120 = 0 . . . . . . . . . . . put in standard form
4(2x² -7x -30) = 0 . . . . . . . . . . . factor out 4
(x -6)(2x +5) = 0 . . . . . . . . . . . .. divide by 4 and factor further
x = 6, -5/2 . . . . . . . . . . . . . . . . .. only the positive solution (x=6) is useful
Then 2x = 12; 2x-7 = 5.

Logarithmic Functions Question, Many Points
I got the first part of this question correct, I believe.
I was supposed to find the graph with a base of 3 (attached), but now I need to justify my answers, which I don't understand. Here are the choices:

The graph of f(x)= log_3 x+c must intersect with the line y= c+1 when x= 3.

The graph of f(x)= log_3 x+c must intersect with the line y= c when x= 3.

The graph of f(x)= log_3 x+c must intersect with the line x= c when y= 3.

The graph of f(x)= log_3 x+c must intersect with the line x= c+1 when y= 3.

Answers

The best choice appears to be the first one.
The graph of [tex]f(x)=\log_{3}(x)+c[/tex] must intersect with the line y= c+1 when x= 3.

_____
See the attachment for plots of base-3 logarithms. Note that when [tex]c=1.4[/tex], the value of f(3) is 1 more than the value of [tex]c[/tex].

An eagle can fly at a speed of 50 mph and a starling can fly at 78 mph. How far will the starling fly in the time it takes the eagle to fly 125 miles?

PLZ HELP ASAP!!!!!!
20 POINTS!

Answers

The starling would fly 195 miles

1.
50*x=125
x=2.5

2.
2.5 * 78 = 195 miles

Answer:

195 miles

Step-by-step explanation:

50*x=125

x=2.5

2.5*78=195miles

3. Jared has two ropes. Each rope is 9 inches long. How many inches of rope does he have in all?

Answers

the answer is super easy all you have todo is to add nine plus nine and then you will get your answer to save time the answer is 19.

The length of one rope = 9 in

Number of ropes Jared have = 2.

The total inches of rope does Jared have will be calculated as under -

We can add the length of two ropes as = 9 in + 9 in = 18 in

Or we can do it by other method as well.

The other method is by multiplying -

The total inches of rope does Jared have = The length of one rope × Number of ropes Jared have

The total inches of rope does Jared have = 9 in × 2 ropes = 18 in

Suppose you want to transform the graph of the function y=tan(x+pi/4)-1 into the graph of the function y=-tan(x+pi/2)+1

Answers

If you want to get y=-tan(x+π/2) +1 then;
In the given equation
+1 will shift the function upward by 1 unit
minus(-) sign will reflect the graph across x_axis

see the attached diagram of -tan(x+π/2) +1

Answer:

A) Reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up

Given that tan^2 e= 3/8 what is the value of sec e? A. +√8/3 B.+ √11/8 C. 11/8 D. 8/3

Answers

ANSWER

[tex]{ \sec}(e) = \pm \: \sqrt{\frac{11}{8} } [/tex]

EXPLANATION

We use the Pythagorean Identity,

[tex] { \sec}^{2} (e) = 1 + { \tan}^{2} (e)[/tex]

It was given that,

[tex] { \tan}^{2} (e) = \frac{3}{8} [/tex]

We substitute the values into the identity to obtain,

[tex] { \sec}^{2} (e) = 1 + \frac{3}{8} [/tex]

[tex]{ \sec}^{2} (e) = \frac{11}{8} [/tex]

We take square root of both sides to get,

[tex]{ \sec}(e) = \pm \: \sqrt{\frac{11}{8} } [/tex]

Answer:

sec e = √(11/8) ⇒ answer B

Step-by-step explanation:

* Lets revise some identities in trigonometry

# sin²x + cos²x = 1

- Divide both sides by cos²x

∴ sin²x/cos²x + cos²x/cos²x = 1/cos²x

∵ sinx/cosx = tanx

∴ sin²x/cos²x = tan²x

∵ cos²x/cos²x = 1

∵ 1/cosx = secx

∴ 1/cos²x = sec²x

* Now lets write the new identity

# tan²x + 1 = sec²x

- Let x = e

∴ tan²e + 1 = sec²e

- Substitute the value of tan²e in the identity

∵ tan²e = 3/8

∴ 3/8 + 1 = sec²e

- Change the 1 to the fraction 8/8

∴ 3/8 + 8/8 = sec²e ⇒ add the fractions

∴ 11/8 = sec²e

- Take square root for the two sides to find sec e

∴ sec e = √(11/8)

∴ The answer is B

Julia had 2/3 quart of cleaning liquid. She used 1/4 of it to clean the sink. How much cleaning liquid did Julia use?

Answers

She had 2/3 quart. She used 1/4 of it.

That means you have to find 1/4 of 2/3

1/4 × 2/3 = 2/12

2/12 simplified = 1/6

Your answer is 1/6

Hope this helped!

She had 2/3 quart. She used 1/4 of it.

That means you have to find 1/4 of 2/3

1/4 × 2/3 = 2/12

2/12 simplified = 1/6

Your answer is 1/6

Hope this helped!

hey can you please help me posted picture of question

Answers

The correct answer is: 12 (Option A)

Explanation:
Total outcomes of rolling a die = 6 (as there are six sides)Total outcomes of tossing a coin = 2 (there are two sides)
Total number of possible outcomes of both = 6*2=12 (Option A).

It represents the number of leaves required on the tree diagram.

A patient is given a 50 mg dose of medicine the medicines effectiveness decreases every hour at a constant rate of 40% what is the exponential decay function that models this scenario how much medicine will be left in the patient's system after two hours

Answers

exponential decay formula is
[tex]y = a(1 - r)^{x} \\ y = 50(1 - .40) ^{x} [/tex]
x= hours past
[tex]y = 50(1 - .40)^{2} \\ y = 18[/tex]
after 2 hours, there are 18 mg of medicine left

Answer:

[tex]A=50(0.6)^x[/tex]

18 mg of medicine will be left in the patient's system after two hours.

Step-by-step explanation:

Given,

The initial quantity of the medicine, P = 50 mg,

Also, it decreases every hour at a constant rate of 40%

That is, r = 40 %,

Thus, the quantity of the medicine after x hours,

[tex]A=P(1-\frac{r}{100})^r[/tex]

[tex]=50(1-\frac{40}{100})^x[/tex]

[tex]=50(1-0.4)^x[/tex]

[tex]=50(0.6)^x[/tex]

Which is the required exponential decay function that models this scenario.

The quantity of the medicine after 2 hours,

[tex]A=50(0.6)^2=18\text{ mg}[/tex]

what is a verbal expression?

Answers

A mathematical verbal expression is a translation into words of an algebraic expression that can consist of different operations, numbers and varibles ur welcome.

For example, the following is a verbal phrase: "John went to the store and bought five apples. Each apple cost $1.25. How much did John spend before tax?" To translate it to a verbal model, the problem solver represents the problem in simplified words that represent the cost of the apple times the number of apples bought. To translate it further to a mathematical phrase, the problem solver puts numbers in the problem: "$1.25 times 5."

after lily's graduation party, 1/2 of of the cake was left. she shared the remaining cake equally with her sister Kayla and her brother Logan. what fraction of the original cake did each of them get?

show all your work please

Answers

they each got 1/4

1/2 = 50%

50% / 2 = 25%

25%= 1/4

estimate the difference between 9,030 and 738

Answers

The way you can estimate this easily is to round 9,030 and 738 to the ones place.

9,030 ⇒ 9,000
738 ⇒ 700

9,000 - 700 = 8,300

what is 12.81 repeated rounded to the nearest hundredth

Answers

In order to round to the nearest hundreth,, we must look at the second number behind the decimal. If this number is smaller than 5 then we round down,, but if it is 5 or larger then we round up. Looking at the second number from the decimal point,, you can see that it is smaller than 5. This means that we round down to make our final answer 12.8.
Let me know if you have any further questions.
:)

Make up an equation of the form y = kx +b, the graph of which passes through the following points: C (–19, 31) and D (1, –9)

Answers

Try this way:
it is possible to make up the system of two equations using the coordinates of points C and D:
31=k*(-19)+b - if to substitute the coordinates of point C;
-9=k*1+b - if to substitute the coordinates of point D.
[tex] \left \{ {{-19k+b=31} \atop {k+b=-9}} \right. \ =\ \textgreater \ \ \left \{ {{20k=-40} \atop {k+b=-9}} \right. \ =\ \textgreater \ \ \left \{ {{k=-2} \atop {b=-7}} \right. [/tex]
y=-2x-7

answer: y=-2x-7

Greg has 8/9 of a small box of cereal. He also has 5/6 of a pint of milk . He needs to pour 2/3 of each into a bowl.

Answers

Missing questions:
How much cereal was poured? How much milk was poured?

Solution:
Cereal poured = 2/3 of 8/9 of a small box of cereal = 8/9*2/3 = 16/27 of a small box of cereal.

Milk poured = 2/3 of 5/6 pint of milk = 5/6*2/3 = 5/9 pint of milk

At 0°C, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of the gas increases by 225. Write an equation that represents the volume of the gas in terms of the temperature.

Answers

At [tex]T=0^{\circ}C[/tex], the volume of the gas is V=22 L.

At temperature [tex]T=1C[/tex], the volume of the gas is (22+225) L.

This means that if we increase the temperature by [tex]k[/tex] degrees:
[tex]T=k^{\circ}C[/tex]
the volume of the gas is
[tex]V=22 + 225 k [L][/tex] (1)

Since T=k, we can rewrite eq.(1) as
[tex]V= 22 + 225 T [L][/tex]
which gives the expression for the volume of the gas in liters, as a function of the temperature T in Celsius.

Answer:

V=2/25T+22

Step-by-step explanation:

Someone please help I only have enough points for one use.

Answers

a-- i) 4/25 ii) 2/15
b . i)6/25 ii) 4/15

I would apprectiate a 5 star review and a Brainliest

What form of a quadratic function would be graphed having the vertex at the same point as the y-intercept

Answers

9514 1404 393

Answer:

a form with no horizontal translation of the parent function

Step-by-step explanation:

If the vertex is the y-intercept, then it has not moved horizontally from its position in the parent function. The form of the quadratic is one without any horizontal translation.

A quadratic function with its vertex and y-intercept at the same point would be in the form f(x) = ax². The coefficients b and c must be zero for the vertex to be at the origin (0,0), and by varying a, we can achieve a vertical stretch or shrink without altering the y-intercept.

The student's question pertains to the graph of a quadratic function with specific conditions on its vertex. If a quadratic function has its vertex at the same point as its y-intercept, then the vertex is located at the origin (0,0), because the y-intercept is the point where the graph crosses the y-axis, and at the vertex, the value of y is at its maximum or minimum depending on the direction of the parabola.

The standard form of a quadratic function is f(x) = ax² + bx + c. For the function to have its vertex at the origin, both b and c would need to be zero, making the function f(x) = ax². This represents a parabola that opens upwards if a is positive, or downwards if a is negative.

To maintain the y-intercept, we must ensure that the transformation applied to the graph, such as a vertical or horizontal shrink, does not alter the location of the vertex. A horizontal shrink is achieved by making a larger absolute value while ensuring that it remains positive or negative in accordance with the original direction of the parabola.

which expression is in simplified form for the given expression and states the correct variable restriction u+3/u^2-9

Answers

Simplifying the expression given we shall have:
(u+3)/(u²-9)
factorizing (u²-9)=(u-3)(u+3)
thus plugging the substitute in the expression we shall have:
=(u+3)[(u-3)(u+3])
=1/(u-3)
Hence the answer is 1/(u-3)
u can take any values except 3.

What is the area of the rhombus shown below? A. 110.5 square units B. 129.2 square units C. 221 square units D. 15 square units

Answers

the answer is A. 110.5

The area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.

What is a rhombus?

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have a rhombus shown in the picture with dimensions:

As we know,

The area of the rhombus is given by:

A =pq/2

p and q are the lengths of the diagonal of a rhombus.

p = MK = 13 units

q = JL = 17 units

Plug the values in the formula:

A = (13×17)/2

A = 221/2

A = 110.5 square units

Thus, the area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.

Learn more about the rhombus here:

brainly.com/question/22825947

#SPJ5

will give braniliest....... Mom put plums and apples onto a plate. The ratio of the number of plums to the number of apples was 3:2. How many fruit did mom put on the plate, if after Ed took 6 there number of plums on the plate became the same as the number of apples?

Answers

There would be 18 plums and 12 apples. Or, 18:12. If Ed ate 6 plums, then the ratio is 12:12
So she would have put 30 fruits (18 plums and 12 apples) on the plate
Hope this helps!

A jacket has a regular price of $80. It is on sale for 10% off. The sales tax is 7%. What is the total cost of the jacket including tax?

Answers

STEP 1:
Sale Price= Cost - (Cost * Discount %)

Sale Price= $80 - (80 * 10%)
=80 - 8
=$72 sale price

STEP 2:
use sale price from step 1 in this equation

Final Price= Cost + (Cost * Tax %)

Final Price= $72 + (72 * 7%)
= 72 + 5.04
= $77.04

ANSWER: The final price after a 10% discount and 7% sale tax is $77.04.

Hope this helps! :)

Answer:

77.04

Step-by-step explanation:

Other Questions

Which of the following statements best describes early Nazi military success during WWII?Nazi Germany was much more successful in North Africa than in Europe.Nazi Germany conquered most of Europe and some of North Africa.Nazi Germany was successful at first but was stopped by the British.Nazi Germany had grand goals of expansion but accomplished little initially. A square garden has an area of 64 square feet. What is the length of the garden? What is the acceleration of a skateboarder of mass 46 kg who is being pushed forward with a force 120N? Parker was able to pay for 44% of his college tuition with his scholarship. The remaining $10,054.52 he paid for with a student loan. What was the total cost of Parker's college tuition? Round your answer to the nearest dollar. Tuition cost = $_ what is the ability to carry out financial transactions using mobile devices such as tablets and phones? He hormone oxytocin suppresses energy metabolism during pregnancy. reduces the ability of blood to clot during the birth process. increases a woman's appetite during pregnancy. enables the "let-down" reflex to occur when a woman breastfeeds her baby. If its the weekend, the chances of Allison going to the store is 4/5. If its a weekday, the chances are 2/5. Given that Allison will not go to the store, what is the probability that its the weekend? Lydia is a family therapist who intends to resolve the marital conflicts that exist between mr. and mrs. jefferson. according to lydia, mr. and mrs. jefferson pretend to have a stable marital relationship and express concern about their son's delinquent behavior. however, lydia feels that the main issue that the couple is facing is the poor quality of their marital relationship, which can be improved through the _____ technique. In the lock-and-key analogy for neurotransmitters, the lock refers to the _____, whereas the key refers to the _____. How did Pasteurs experiment with the flasks help disprove the idea that living things could just appear or come from nonliving things like water and air? When the above equation is balanced the coefficients in order are Cholera-causing bacteria have a single flagellum that allows these bacteria to ? Explain why high blood pressure is a threat to cardiovascular health [tex] \sqrt[3]{ 3x + 1 - 4 = - 6} [/tex] According to a forbes study, what percentage of executives agreed that diversity encourages innovation? there are 28 students in sharons class one fourth of the students were absent on monday how many students were present on monday Many dogs have ticks and fleas in their fur. Ticks and fleas feed upon the blood of dogs to get nutrients is that competition, parasitism, mutualism or commensalism The invasion of hungary in 1956 by the soviet union and the building of the berlin wall in 1961 are examples of In your own words, and in complete sentences - what could explain one country having an advantage in wooden table production? State the reason why some drugs are considered drugs of abuse.