Answer:
In 6 months (at the fifth month they are equal in price)
Step-by-step explanation:
Set the month as x.
Plan A's equation: 8x + 25
Plan B's equation: 12x + 5
8x + 25 < 12x + 5
Solve.
-4x < -20
x > 5
In 6 months (at the fifth month they are equal in price)
D. y=5x+6 and 2y-12-10x=0 has infinitely many solutions and both lines are linear
E. y=4x+1, y=9x+4 has the solutions x = -3/5, y = -7/5
Answer:
82.35%
Step-by-step explanation:
60 divided by 340=0.17647058823
Multiply that by 100 and you get 17.647058823
Next, round and you get 17.65
100-17.65=82.35
Answer:
Step-by-step explanation:
A: if both 6 and 3 are red then the probability for a red is 2/6 or 1/3, if only 3 or 6 is a red then it is 1/6
B: spinning a 1 is 1/6 probability
C: spinning an odd number is 3/6 or 1/2 as half of the numbers are odd
D: 0 probability as there are no 9
Step-by-step explanation:
We need to use the binomial theorem/Pascal's triangle here.
(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.
5 choose 0 = 1
5 choose 1 = 5
5 choose 2 = 10
5 choose 3 = 10
5 choose 4 = 5
5 choose 5 = 1
And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.
Therefore we get
g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5
which is
g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32
Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)
