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Temka [501]
4 years ago
15

A person plays a board game where he blindly picks a colored chip from a container. There are 20 chips in the container: 5 red,

11 green, and 4 blue. He gets to move his game piece 10 spaces, zero spaces for a green chip, and he has to move backwards 15 spaces if he picks a blue chip. Use mathematical calculations to prove whether or not the game is fair. Show all of your calculations for full credit.
Mathematics
1 answer:
pashok25 [27]4 years ago
6 0
For the game to be fair it should have 50 50 winning and losing chances right?
You get paid only if u pick a red one and choosing a red one out of all is having a
520=1
chance right? So do u think it's fair ?
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I am stuck at this question​
Marrrta [24]

Answer:

Step-by-step explanation:

B(2,10); D(6,2)

Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)

Rhombus all sides are equal.

AB = BC = CD =AD

distance = √(x2-x1)² + (y2- y1)²

As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x

A(X,0)

AB = AD

√(2-x)² + (10-0)² = √(6-x)² + (2-0)²

√(2-x)² + (10)² =  √(6-x)² + (2)²

√x² -4x +4 + 100 =  √x²-12x+36 + 4

√x² -4x + 104 =  √x²-12x+40

square both sides,

x² -4x + 104 =  x²-12x+40

x² -4x - x²+ 12x = 40 - 104

             8x = -64

               x = -64/8

               x = -8

A(-8,0)

Let C(a,b)

M is AC midpoint

(-8+a/2, 0 + b/2)  = M(4,6)

     (-8+a/2, b/2)  = M(4,6)

Comparing;  

-8+a/2 = 4          ; b/2 = 6

  -8+a = 4*2       ; b = 6*2

  -8+a = 8          ; b = 12

        a = 8 +8

       a = 16

Hence, C(16,12)

6 0
3 years ago
Wen was hiking on a 12-mile route. During the first 2 hours, his hiking speed was 3 mph. During the rest of the hike, his speed
Mars2501 [29]

The total time taken to cover 12 miles distance is 5 hours.

<u>Given the Parameters</u> :

  • Total distance hiked = 12 miles

Recall :

  • Distance = speed × time

Let :

  • Total Time taken = t

<u>We could create an equation thus</u> :

Total distance = 3(2) + 2(t - 2)

12 = 6 + 2t - 4

12 = 2 + 2t

12 - 2 = 2t

10 = 2t

t = 10/2

t = 5

Therefore, the total time taken is 5 hours

Learn more :brainly.com/question/18796573

5 0
3 years ago
____________________
luda_lava [24]

Angle BOC = 120

PROOF

Angle A + Angle B + Angle C = 180

So, Angle B + Angle C = 120 (Angle A = 60)

Now 1/2 (Angle B + Angle C) = 60

1/2 Angle B + 1/2 Angle C = 60..............i

In triangle BOC

1/2 Angle B + 1/2 Angle C + Angle BOC =180

(BO and CO are angle bisectors)

Or 60 + Angle BOC = 180 (using i)

OR ANGLE BOC = 120

6 0
4 years ago
Ashad is rewriting the expression 28 a + 36 a b as a product. Which statements about the expression are accurate and relevant to
Gala2k [10]

Answer:

(B)The GCF of the numbers(28 and 36) in each term in the expression is 4.

(C)The GCF of the variables(a and ab) in each term in the expression is a.

(E)The factored form of the expression is 4a(7+9b)

Step-by-step explanation:

Given the expression: 28a+36ab

If we write it as a product, we obtain:

28a+36ab=4a(7+9b)

We can see the following

  • The GCF of the numbers(28 and 36) in each term in the expression is 4.
  • The GCF of the variables(a and ab) in each term in the expression is a.
  • The factored form of the expression is 4a(7+9b)

The correct options are B, C, and E.

8 0
4 years ago
If the Federal Reserve sets the reserve rate to 5%, what is the resulting money
sesenic [268]

Answer:

To get this answer you’d just divide 5% by 100, and you’d get 0.05. I hope this helps!

Step-by-step explanation:

6 0
3 years ago
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