Answer:
Player II should remove 14 coins from the heap of size 22.
Step-by-step explanation:
To properly answer this this question, we need to understand the principle and what it is exactly is being asked.
This question revolves round a game of Nim
What is a game of Nim: This is a strategic mathematical game whereby, two opposing sides or opponent take turns taking away objects from a load or piles. On each turn, a player remove at least an object and may remove any number of objects provided they all come from the same heap/pile.
Now, referring back to the question, we should first understand that:
22₂ = 1 0 1 1 0
19₂= 1 0 0 1 1
14₂= 0 1 1 1 0
11₂= 0 1 0 1 1
and also that the “bit sums” are all even, so this is a balanced game.
However, after Player I removes 6 coins from the heap of size 19, Player II should remove 14 coins from the heap of size 22.
Answer: 5 people
Step-by-step explanation:
The easiest way to do this is to set up a proportion. 6/12=x/10. To solve, cross-multiply and divide. Multiply 6 and 10 (6*10=60) and divide by 12 (60/12=5).
You can also find that 6/12 is equal to 1/2 by dividing each side by 6. Then multiply 10 by 1/2 (or divide 10 by 2) to get the final answer of 5 people.
f
'
(
x
)
=
1
(
x
+
1
)
2
Explanation:
differentiating from first principles
f
'
(
x
)
=
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
f
'
(
x
)
=
lim
h
→
0
x
+
h
x
+
h
+
1
−
x
x
+
1
h
the aim now is to eliminate h from the denominator
f
'
(
x
)
=
lim
h
=0
(
x
+
h
)
(
x
+
1
)−
x
(
x
+
h
+
1)
h
(
x
+
1
)
(
x
+
h
+
1
)
f
'
(
x
)
=
lim
h
→
0
x
2
+
h
x
+
x
+
h
−
x
2
−
h
x
−
x
h
(
x
+
1
)
(
x+h
+
1
)
f
'
(
x
)
=
lim
h
→
0
h
1
h
1
(
x
+
1
)
(
x
+
h
+1
)
f
'
(
x
)
=
1
(
x
+
1
)
2
Answer:
The probability of hitting an odd number three times is 3.375 times more than the probability of hitting an even number three times..
Step-by-step explanation:
Probability of hitting an odd number = 3/5
Probability of hitting an odd number = 2/5
Probability of hitting an odd number three times = (3/5)^3
Probability of hitting an odd number three times = (2/5)^3
Now divide (3/5)^3 by (2/5)^3 we get:
(3/5)^3 / (2/5)^3
(3)^3/(2)^3
27/8 = 3.375
The probability of hitting an odd number three times is 3.375 times more than the probability of hitting an even number three times..
The best way is to check all answers. lets check answer A first.
Take the equation y > -3x +3 and substitute 2 for x and -5 for y.
(-5)> -3(2) + 3
-5 > -6 + 3
-5 > -3
we know this is not true so A is not the answer. because it is an invalid solution.
Lets check B
(-2)>-3(5) + 3
-2 > -15 +3
-2 > -12
we know this is true so it is a valid solution Now we have to check the other equation with the same point.
y> x +2
5> (-2)+2
5> 0
we know this is true so its a valid solution.
This means B the correct answer.
