Answer:
If it is less than 3, Player 1 earns 3 points.
If not, Player 2 earns 2 points.
Step-by-step explanation:
<u>Player 1</u> :
p(N < 3) = p(N = 1 or N = 2) = 2/5
<u>Player 2</u> :
p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5
<u>We notice that</u> :
p(N < 3) × 3 = (2/5) × 3 = 6/5
On the other hand,
p(N ≥ 3) × 2 = (3/5) × 2 = 6/5
since ,the probability player 1 win multiplied by the associated number of points (3)
is equal to
the probability player 2 win multiplied by the associated number of points (2).
Then the game is fair.
Answer:
13
Step-by-step explanation:
Write an equation setting the lengths equal to each other.
5x + 3 = 2x + 9
Move the variable (x) to one side. I'm going to subtract 2x from both sides.
5x - 2x + 3 = 2x - 2x + 9
3x + 3 = 9
Subtract 3 from both sides
3x +3 - 3 = 9 - 3
3x = 6
Divide both sides by 3
3x/3 = 6/3
x = 2
Now use 2x + 9 to find the length of EG by substituting 2 in for x.
2x + 9
2(2) + 9
4 + 9
13
You could also use 5x + 3 to find the length of EG by substituting 2 in for x.
Answer:
Step-by-step explanation:
i hope this helps
Answer:D 2 1/7
Step-by-step explanation: you can put 7 into 15 two times and that gives you 2 holes and you then have 1/7 leftover therefore you have 2 1/7.
Answer:
Step-by-step explanation:
Given that 1/4 bucket of nuts fills 2/3 of the barrel
PART A
<u>To find the amount of nuts that fills entire basket we can put this as:</u>
- 1/4 bucket → 2/3 barrel
- x bucket → 1 barrel
<u>Use cross-multiplication to find the value of x:</u>
- x×2/3 = 1×1/4
- x = 1/4 ÷ 2/3
- x = 1/4×3/2
- x = 3/8 bucket
PART B
- Using the bucket to barrel ratio to solve the problem. Having the number of required buckets as x and considering full barrel as 1 helps to find the value of x.
