A game is played by randomly throwing a dart at the hexagon. If it lands on the dotted sector the player wins $60. Otherwise, the player loses $10. What is the value of the game?

Answers

Answer 1

The value of the game would be 13.33 dollars.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Value of the game = E(x)

[tex]= [(60\times\frac{5}{6}) + (-10\times\frac{1}{6})]\\\\=50 -1.66\\\\= 48.33[/tex]

P(Plain surface) = 2/6 and

P(Not plain surface) = 1 - 2/6 = 2/3

Let x: Value won/lost in the game

Value of the game

[tex]= [(60\times\frac{2}{6}) + (-10\times\frac{2}{3})]\\\\=20 -6.66\\\\= 13.33[/tex]

Hence, the value of the game would be 13.33 dollars.

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A Game Is Played By Randomly Throwing A Dart At The Hexagon. If It Lands On The Dotted Sector The Player

Related Questions

Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?

Answers

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π = 3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

What is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12?

Answers

Answer:

Step-by-step explanation:

Multiples of 16 are [tex]16,32,48,64,80,...[/tex]

Find product of each of the multiple of 16 until a number is obtained, the product of whose digits is a multiple of 12.

[tex]16=1(6)=6\\32=3(2)=6\\48=4(8)=32\\64=6(4)=24[/tex]

Here, 24 is a multiple of 12.

So,

24 is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12.

A corporation is under orders to reduce the time office workers spend filling out their TPS reports. Previously the average time spent on the TPS report was 6.3 hours. In order to test whether the time to fill out the TPS report has been reduced, a sample of 48 office workers was randomly chosen, and their completion times recorded. The mean completion time for their TPS reports was 5.7 hours with a standard deviation of 1.8 hours. In order to test that the time to complete the TPS report has been reduced, state the appropriate null and alternative hypotheses.

Answers

Answer:

The null hypothesis, H₀ is that the mean completion time for the TPS report remains at the duration of 6.3 hours

The alternative hypothesis, H₁ is that the mean completion time for the TPS report is less than 6.3 hours

Step-by-step explanation:

The given parameters are;

The average time spent on the TPS report = 6.3 hours

The number of workers in the sample used for the test = 48 office workers

The mean completion time of the TPS report for the sample = 5.7 hours

The test aim; To find out whether the mean time required to fill out the TPS report has been reduced

The null hypothesis, is H₀; μ = 6.3 hours

The alternative hypothesis, H₁; μ < 6.3 hours

Quadrilateral A'B'C'D'A

A, prime, B, prime, C, prime, D, prime is the image of quadrilateral ABCD , A B, C, D under a dilation with a scale factor of 4.

What is the length of segment \overline{C'D'}
ill really like the help.
Thank you.

Answers

Answer:

41 I think

Step-by-step explanation:

I looked it up for you!

Help p please:)......

Answers

the answer should be 3+3=6

The answer is 12

You have to add all sides

Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.

Answers

Answer:

[tex]Pr = \frac{1}{216}[/tex]

Step-by-step explanation:

The sample space of a single dice is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S) = 6[/tex]

Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

[tex]n(6) = 1[/tex]

In a roll of dice, the probability of rolling a 6 is:

[tex]P(6) = \frac{n(6)}{n(S)}[/tex]

[tex]P(6) = \frac{1}{6}[/tex]

In 3 rolls, the probability is:

[tex]Pr = P(6)^3[/tex]

[tex]Pr = [\frac{1}{6}]^3[/tex]

[tex]Pr = \frac{1}{216}[/tex]

please help!
AABC ~ AQRS
Find the missing side length, n.
5
R
12.5
n
Q
10
B
5
2
A
4
C
n = [?]

Answers

Using the property of similar triangles, we found that the value of n is 5.

This is the length of the side RQ.

What are similar triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are similar. Similar figures are described as items with the same shape but varying sizes, such as two or more figures. Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.

The given triangles are both right triangles.

So they can be considered similar triangles.

One of the properties of similar triangles is that the ratio of corresponding sides is always equal.

Then we can write for the given triangles,

BA/RQ = AC/QS

2/n = 4/10

n = 2 * 10 / 4 = 5

Therefore using the property of similar triangles, we found that the value of n is 5.

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the sum of a number x and 7 is 35
dont need answer

Answers

Answer:

Step-by-step explanation:

x + 7 = 35

subtract 7

x = 28

The area of a sector with a radius of 22 yards is 89.45 square yards. Calculate the approximate angle of the sector

Answers

Answer:

0.3696 radian

21.178°

Step-by-step explanation:

Given :

Radius, r = 22 yards

Area of Sector = 89.45 yd²

Approximate angle of the sector :

Area of Sector = 1/2 * θ * r²

89.45 = 1/2 * θ * 22²

89.45 = 0.5 * 484 * θ

89.45 = 242θ

θ = 89.45 / 242

θ = 0.3696 radian

Radian to degree

0.3696 * 180 / π = 21.178°

Adding & subtracting decimals word problems

Answers

Answer:

7.17 km

Step-by-step explanation:

please like my answer and brainliest me......huhu

Find the area of a regular pentagon with a side of 10 cm. and an apothem of 4 cm.

Answers

Answer:100

Step-by-step explanation:perimeter times apothem divided by two

A rectangle has the dimensions shown. The area of the rectangle would be represented by which type of expression? linear expression quadratic expression exponential expression rational expression

Answers

Answer:

rational expression

Step-by-step explanation:

Answer:

it's quadratic

Step-by-step explanation:

What's the distance between (–4, 3) and (4, 3)? Question 7 options: A) 11 units B) –8 units C) 14 units D) 8 units

Answers

Answer:

it is 8 unit .because distance will not be negative.As it is scalar .

brown hair (H) is dominant to blond hair (h). Two hybrid parents have 4 kids. what is the likelihood that their kids will be hybrids as well? (this is punnett square)

Answers

Answer:

50 %

Step-by-step explanation:

Convert the units of capacity.
10 pt = ___ ___ qt

Answers

Answer:

6.00475

Step-by-step explanation:

Which method would be the most efficient way to solve the method : substitution method, Eliminating method or equal value 3x+y=1 4x+y=2

Answers

Answer:

Eliminating method

Step-by-step explanation:

For the given situation i.e.

3x + y = 1

And,

4x + y = 2

Here we use the elimination to determine the value of x and y

So,

3x + y = 1

4x + y = 2

- - -

-x = -1

x = 1

Now put the value of x in any of the above equation

So,

3 + y = 1

y = -2

solve for x

Need help with this last question

Answers

Answer:

x = 8

Step-by-step explanation:

2(78°) = 20x - 4

156 = 20x - 4

add 4 to each side of the equation:

160 = 20x

divide both sides by 20:

x = 8

HHHHEEEEEEELLLLPPPPPPP !!!!!!

Answers

Answer:

Step-by-step explanation:

Elvis and $74 .50 a month.. how much does he earn to the nearest one penny.
A. in a year
B. in a week
C. in a day

Answers

Answer:

Part A

12 months a year means

%74.5 x 12 = $894

Part B

4 weeks in a month means

$74.5 ÷ 4 = $18.625

But rounded to the nearest penny. . .

$18.62

because in the thousandths place was a 5 and you round up when there is a 5 or above

Part C

We will go with 31 days in a month, but I will also do 30 for you

$74.5 ÷ 30 = $2.48333

But rounded to the nearest penny. . .

$2.48

because you round down when there is anything less than a 4

$74.5 ÷ 31 = $2.40322580645

But rounded to the nearest penny. . .

$2.40

because you round down when there is anything less than a 4

HELP ME I WILL MARK BRAINLIEST

Answers

Answer:

The answer is 1/15

I hope it helps

The Valley Central School District ordered 300 bagels for their spring faculty breakfast. They want 65% of the bagels to be plain. How many plain bagels should they order?

PLS HELP ASAP

Answers

Answer:

The answer to your question is 195

Please help!
An isosceles triangle has base angles that each measure 34°. Which of the following equations could be used to find x, the measure of the third angle of this isosceles triangle in degrees?

A. 34 + x = 180
B. 68 + x = 180
C. 68 + 2x = 180
D. 34 + 2x = 180

Answers

Answer: B

Explanation: an isosceles triangle has 2 sides that are the same, so if the base angles are both 34° then you can multiply that by 2 to get 68°. After that you know that you're still missing one of the angles so that missing angle is x. The equation you can set up to solve for x is the following: 68° + x° = 180°

Hope this helped! :)

find the area of the triangle below 5.4 m 9 m 4.5 m 7.5 m

Answers

Answer:i think is it 1640.25

Step-by-step explanation:

Solve for x
(3x-15) & (2x+7)

Answers

Answer:

for the first one X=-5

for the second one it's a fraction so look at the picture

Create and solve a 2 step with subtraction and multiplication Also, x = 9

Answers

Answer:

x - 4(x - 2) = -37

x - 4x + 8 = -37

-5x = -37 - 8

-5x = -45

x = 9

24 > 6 + 3y = ____

image of question included

Answers

All numbers less than 6

Answer:

Step-by-step explanation:

24 > 6 + 3y

Bringing like terms on one side

24 - 6 > 3y

18 > 3y

18/3 > y

6 > y

Option C 6 is the correct answer

Please help!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

If the acceleration is 600m/s/s and the mass is 300kg, calculate the force? *

Answers

Answer:

600 m/s2 ×300 kg = 180000 kg.m/s2

Answer:

180000Kgm/s2

Step-by-step explanation:

Force is the product of mass and acceleration. So F=MA

F=600 x 300

F=180000

Can somebody who knows how to do this plz help answer these questions correctly (only if u done this before) thx :3

WILL MARK BRAINLEST WHOEVER ANSWERS FIRST :DDDD

Answers

Step-by-step explanation:

angle b = 25° ( vertically opposite)

angle a = 155° ( linear pair)

angle c = 155 ( vertically opposite)

angle a and c are vertically opposite angles

(5g2+6g-10)
-(6b2+2g+9)

Answers

Answer:

look at given picture

Step-by-step explanation:

there is complete soln

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