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Salsk061 [2.6K]
3 years ago
12

Find x. (The figure is not drawn to scale.)

Mathematics
1 answer:
ladessa [460]3 years ago
7 0
23 bhfhcjvufhfvufyfdydydculcho
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A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each
Marysya12 [62]
Answer: - 0.28


Explanation:

1) Expected value: is the weighted average of the values, being the probabilities the weight.

That is: ∑ of prbability of event i × value of event i.

In this case: (probability of getting 2 or 12) × (+6) + (probability of gettin 3 or 11) × (+2) + (probability of any other sum) × (-1).


2) Sample space:

Sum              Points awarded
    
1+ 1 = 2              +6

1 + 2 = 3             +2

1 + 3 = 4             -1

1 + 4 = 5             -1

1 + 5 = 6             -1

1 + 6 = 7             -1

2 + 1 = 3             +2

2 + 2 = 4             -1

2 + 3 = 5             -1

2 + 4 = 6             -1

2 + 5 = 7             -1

2 + 6 = 8             -1

3 + 1 = 4             -1

3 + 2 = 5             -1

3 + 3 = 6             -1

3 + 4 = 7             -1

3 + 5 = 8             -1

3 + 6 = 9             -1

4 + 1 = 5             -1

4 + 2 = 6             -1

4 + 3 = 7             -1

4 + 4 = 8            -1

4 + 5 = 9            -1

4 + 6 = 10          -1

5 + 1 = 6            -1

5 + 2 = 7            -1

5 + 3 = 8            -1

5 + 4 = 9            -1

5 + 5 = 10          -1

5 + 6 = 11          +2

6 + 1 = 7            -1

6 + 2 = 8            -1

6 + 3 = 9            -1

6 + 4 = 10          -1

6 + 5 = 11          +2

6 + 6 = 12          +6


2) Probabilities

From that, there is:
- 2/36 probabilities to earn + 6 points.
- 4/36 probabilites to earn + 2 points
- the rest, 30/36 probabilities to earn - 1 points


3) Expected value = (2/36)(+6) + (4/36) (+2) + (30/36) (-1) = - 0.28
4 0
2 years ago
Read 2 more answers
Use function notation to write the equation of the line
blondinia [14]

f(x)=mx+b\to y=mx+b

We have two points:

(-3,\ 0);\ (-4,\ 7)

The point slope form of the line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

Substitute

m=\dfrac{7-0}{-4-(-3)}=\dfrac{7}{-1}=-7

y-0=-7(x-(-3))\\\\y=-7(x+3)\\\\y=-7x-21

Answer:

f(x)=-7x-21

8 0
3 years ago
An adult's dinner costs $7. A family of 2 adult's and 2 children pays $22 for their dinners. How many does a child's dinner cost
bonufazy [111]

Answer:

A child's dinner costs $4

Step-by-step explanation:

7 + 7 = 14

22 - 14 = 8

8 / 2 = 4

8 0
3 years ago
How do I set up the equation for this?
Masteriza [31]

Answer:

Speed = Distance ÷ Time

time = distance ÷ speed

Step-by-step explanation:

248 ÷ 55 * 60 = 270.54 minutes

4 0
3 years ago
Find the coordinates of the vertices of the triangle after a 270° rotation
Minchanka [31]

Answer:

Step-by-step explanation:

(a). 270° clockwise or 90° counterclockwise:

(x, y) --------> ( - y, x )

(b). 270° counterclockwise or 90° clockwise:

(x, y) ---------> ( y, - x )

8 0
2 years ago
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