(100 POINTS & BRAINLIEST!!! HURRY) A game at the fair involves a wheel with seven sectors. Two of the sectors are red, two of the sectors are purple, two of the sectors are yellow, and one sector is blue. Landing on the blue sector will give 3 points, landing on a yellow sector will give 1 point, landing on a purple sector will give 0 points, and landing on a red sector will give –1 point.
If you take one spin, what is your expected value?
What changes could you make to values assigned to outcomes to make the game fair?
Prove that the game would be fair using expected values.

Answer:

The answer would be A

Step-by-step explanation:

Answer:

21 litres

Step-by-step explanation:

1 litre = 1000 cubic cm

The rectangular tank is 50 cm long, 20 cm wide, and 33 cm high.

The tank is in the shape of a rectangular prism.

The volume of a rectangular prism is:

V = l * w * h

where l = length

w = width

h = height

Therefor, its volume is:

V = 50 * 20 * 33 = 33000 cubic cm = 33 litres

The tank is filled to a depth of 12 cm.

The volume of water in the tank is:

V = 50 * 20 * 12 = 12000 cubic cm = 12 litres

Therefore, the number of litres left to fill the tank is:

33 - 12 = 21 litres

The liters of water needed to fill the tank is 21 liters.

The first step is to determine the volume of the tank. The tank has the shape of a cuboid. Thus, the formula for the volume of a cuboid would be used to determine the volume of the tank.

Volume of the tank = length x width x height

50 x 20 x 33 = 33,000

1 liter = 1000 cm

33,000 / 1000 = 33

The tank is already filled with 12 liters of water.

Water needed = 33 - 12 = 21 liters

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Answer:

525 pages in one hour.

Step-by-step explanation:

1 hour = 60 minutes

70 pages in 8 minutes

[tex]x[/tex] in 60 minutes

8x=4200

525

Answer:

525 pages in 1 hour

Step-by-step explanation:

Use proportions

70 pages --> 8 mins

? pages --> 60 mins

60/8 = 7.5

That means ?/7.5 = 70, then ? = 70*7.5, ? = 525

Answer:

Volume of the pyramid is 198 yards^3

Step-by-step explanation:

Here, we are asked to calculate the volume of the pyramid given the area of its base and its height.

Mathematically, the volume of the pyramid can be calculated using the formula below;

Volume of pyramid = Area of heptagonal base * height of pyramid

Volume of pyramid = 30 * 6.6 = 198 yards^3

Answer:

A = 20 square units ; Type in 20

Step-by-step explanation:

The simplest way to derive the area of this figure, is to first consider what the shape is itself;

[tex]Criteria of Shape - 2 Bases, 1 pair of Parallel Sides, Composed of two triangles, one square -From this we See that - Shape ; Trapezoid ( neither Right nor Isoceles )[/tex]

Knowing that the shape is a Trapezoid, consider the formula ( Average of Bases ) * Height as to solve for it's area;

[tex]Length Of Base 1 - 3 units,\\Length of Base 2 - 7 units,\\Length of Altitude - 4 units,\\[/tex]

Now let us substitute these values, solving for the Area;

[tex]Area Of Trapezoid - ( ( Base 1 + Base 2 ) / 2 ) * Height,\\ ( ( Base 1 + Base 2 ) / 2 ) * Height = ( ( 3 + 7 ) / 2 ) * 4,\\( 10 ) / 2 * 4 = 5 * 4 = 20 square units,\\\\Conclusion ; Area of Trapezoid = 20 square units[/tex]

Solution; A = 20 square units

Answer:

A=20 (square units)

Step-by-step explanation:

B=XW=8-1=7

b=YZ=5-2=3

h=5-1=4

A=(B+b)*h/2

A=(7+3)*4/2=10*2

A=20 square units

Answer:

Part A- (B) Divide 9 by 3

Part B- (C) Multiply 3 by 7

Part C- Tyson is wrong, because we found that the value of the expression was 27. Tyson must have solved the expression the way it was written from left to right and did not follow order of operations (PEMDAS).

*The value of this expression= 27.*

Step-by-step explanation:

Beware, we do NOT solve in the order the number sentence is given. By PEMDAS- first we solve Parenthesis  (if any) , next we solve Exponents (if any), then we solve the Multiplication or Division based on whichever is first from the left, finally we solve Addition or Subtraction based on whichever appears first from the left, we solve first. So, following PEMDAS, there are no Parenthesis nor Exponents in your number sentence- the next step would be Multiplication or Division. So, which operation comes first from the left in your expression, between Multiplication or Division? Division, so we solve that, 9/3, which is 3. We rewrite the expression with the new answer- 6+ 3 x 7. Ok, so are there any more Division or Multiplication to solve so that we can move to the next step? Yes. 3 x 7, which is 21. We rewrite the expression again, 6+21, and the final answer is .....27. Therefore, going back in the process, remember the first operation we did and that is? DIVISION. Also, that means Tyson is wrong, because we found that the value was 27. Tyson must have solved the expression the way it was written from left to right and did not follow order of operations (PEMDAS).

I hope this covered all the aspects of the question and helped you understand !! Please leave a comment or rating! Thanks :)

Answer:

part A : A

part B :B

part C :No,

27

Step-by-step explanation:

BODMAS

6+9/3*7

according to the order of operations,

division comes before multiplication and addition

so we first divide 9 by 3 then multiply the answer by 7 and finally add the result to 6

Therefore the answer is 27

Answer:

The linear equation is;

Y = 450 - 2·X

Please find the included graph

Step-by-step explanation:

Whereby we have the following relation;

The cost of 1 pizza = X

The cost of 1 burger = Y

Hence;

450 = Y + 2·X

Which gives;

Y = 450 - 2·X

The linear equation for the situation is therefore as presented above

The graph of the linear equation can be plotted using the assumed data as follows;

Y,           X

1,           448

2,          446

3,         444

4,          442

5,          440

6,          438

7,          436

8,          434

9,          432

10,          430

11,          428

12,          426

13,          424

14,          422

15,          420

16,            418

The linear equation for this situation is 2x + y = 450.

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let x represent the cost of each pizza and y represent the cost of each burger. Hence:

2x + y = 450  

The linear equation for this situation is 2x + y = 450. Its graph is attached below and was plotted using geogebra online graphing tool.

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Answer: 47/6

Step-by-step explanation:

-2 1/3 - (-10 1/6)

= -7/3 + 10 1/6

= -7/3 + 61/6

= 47/6

Step-by-step explanation:

[tex] - \frac{6 + 1}{3} - ( \frac{10 \times 6 + 1}{6} ) \\ - \frac{7}{3} - ( \frac{10 \times 6 + 1}{ 6} \\ - \frac{7}{3} - ( - \frac{61}{6} ) \\ - \frac{7}{ 3} + \frac{61}{6} \\ - \frac{14}{6} + \frac{61}{ 6} = 7.8333333[/tex]

the answer is recurring

Answer:

The corresponding sides have the same slope so the answer is QR and MN, SR and PN and MP and QS. Hope this helps!

Answer:

The reaction is exothermic

Step-by-step explanation:

An exothermic reaction is a reaction in which heat is liberated or released to the surrounding. In this kind of reaction ( i.e exothermic), the change in enthalpy, ΔH, is negative and less than zero.

Since student got an enthalpy change, ΔH that is negative ( ΔH = - 13 kcal), the reaction is an exothermic reaction.

Answer:

The answer is b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given

x² - 7x - 44

Consider the factors of the constant term (- 44) which sum to give the coefficient of the x- term (- 7)

The factors are - 11 and + 4 , since

- 11 × 4 = - 44 and - 11 + 4 = - 7 , thus

x² - 7x - 44 = (x - 11)(x + 4) ← in factored form

with (x - 11) as a factor → B

The required value of the x is 20° for the two intersecting lines.

A figure has shown the intersecting line TW and VS. And opposite angles are given x+40 and 3x. The value of the x is to determine in a manner to find the respective angle.

The angle can be defined as the one line inclined over another line.

alternate angles of two intersecting lines is equal.
x +40 = 3x
3x - x = 40
2x = 40
x = 40/2
x = 20°
required angle x and x+40
x = 20
x + 40 = 20+40
= 60°

Thus, the required value of the x is 20°.

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Answer:

One adult ticket is $4 and one child ticket is $7

Step-by-step explanation:

Make a system of equations

2x + 10y = 78

8x + 5y = 67

Solve by elimination, multiply the 2nd equation by -2

2x +10y = 78

-16x -10y = -134

Add the equations

-14x = -56

x = 4

The price of one adult ticket is $4

Plug 4 in as x to find y

2(4) + 10y = 78

8 + 10y = 78

10y = 70

y = 7

The price of one child ticket is $7

Answer:

a) [tex]2^{4}[/tex]

b) [tex]5^{3}[/tex] x [tex]7^{2}[/tex]

Step-by-step explanation:

You can group together like base values, so 3 x 3 x 3 x 3 x 3 becomes 3 to the power of 5. All it means is that you are multiplying the base value (in this case 3) by itself 5 times.

Index notation makes it easier in more complex equations to solve, as its simpler and doesn't take up as much space.

Hope this helped : )

Answer:

the slope would be -5

Step-by-step explanation:

in linear equations, the slope of the line is the coefficient of x

so in this case, it is -5

Answer:

25%

1/4

Step-by-step explanation:

There are 40 beans in total. Only 10 of those are orange and lemon flavored.

The experimental probability is calculated based on the results of the experiment; since the name Ted was chosen 26 times out of 123, the experimental probability is [tex]\boxed{\frac{26}{123}}.[/tex]

Typically, the theoretical probability assumes that events are chosen randomly; since the name Ted is one of the 6 in the hat, the theoretical probability is [tex]\boxed{\frac{1}{6}}.[/tex]

If we increased the number of names in the hat, we would expect both the experimental and theoretical probability to decrease, since there are now more names to choose from. Similarly, if we decreased the number of names in the hat, the experimental and theoretical probability would increase.

Answer:

5/2

Step-by-step explanation:

ratio of sides=(√25)/(√4)=5/2

Answer:

Monthly cost of cell phone for 0 minutes is $19.95 and for 40 minutes of talk is $21.95. It means that average rate of change ( increase of monthly cost for each minute of talk time ) is: ARC = ( 21.95 - 19.95 ) / ( 40 - 0 ) = 2.00 / 40 = $0.05. Answer: C ) The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05.

Answer:

The answer is D

Step-by-step explanation:

These two matrices cannot be added. To be eligible to add two matrices together, they must have the same dimensions. In this case, they have two different dimensions so the answer is D.

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Answer  c = (a-b)/d

Step-by-step explanation:

subtract b and divide by d

Answer:

30% of 2,000 = 600 calories.

Step-by-step explanation:

Answer:15

Step-by-step explanation:

You have 2L plus 2w = 40 you know that w = 5. multiply 5 by to because you have 2w. your new equation is 2l + 10 = 40. subtract ten from both sides, your new equation is 2l =30. Divide both sides of the equation by two, get L = 15

Answer:

B

Step-by-step explanation:

f(x) = 3(x + 5) + 4/x

To find f(a + 2) , put a + 2 in place of every x

f(a + 2) = 3 (a + 2 + 5) + 4/(a + 2)

f(a + 2) = 3 (a + 7) + 4/(a + 2)

Answer:

450 portugals

Step-by-step explanation:

in this question, we are tasked with calculating the number of portugals which are picked by the farmer

Firstly, let the number of portugals picked be p and the number of oranges picked be r.

Thus;

p + r = 600 ••••••••••(i)

Secondly there are 3 times as many oranges as there are portugals;

That would be;

3 * r = p

3r = p. •••••••••(ii)

substitute ii into i

3r + r = 600

4r = 600

r = 600/4

r = 150

P = 3r

p = 3 * 150 = 450

Answer:

they are already in tenths place value, so they won't change.

Step-by-step explanation:

Step-by-step explanation:

x2+6x+9-9+y2-4y+4-4=23

(x+3)2-9+(y-2)2-4=23

(x+3)2+(y-2)2=36

center:(-3,2)

r:6

9514 1404 393

Answer:

  B. False

Step-by-step explanation:

In order for segments to form a triangle, the sum of the shorter two must exceed the length of the longest. Here, that is ...

  5 + 6 vs 12

  11 vs 12

The short segments are not long enough to form a triangle. The assertion is FALSE.