Answer:
8 or 9^8
Step-by-step explanation:
You have to add the exponents when they are being multiplied without parenthesis which means 3+5=8 so it's 9 to the 8th power.
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Total problems = 29
x + y = 29
Total marks for 5 point problems = 5*x = 5x
Total marks for 2 point problems = 2*y = 2y
Total marks = 100
5x + 2y = 100
Answer:
0.160275
Step-by-step explanation:
P(5 time heads) =P(fair penny and 5 time heads + weighted penny and 5 time heads)
probability of fair penny = 99/100 (as one is removed)
probability of heads = 50% = 0.5 flipped 5 times
probability of weighted penny = 1/100
probability of heads for this penny = 90% = 0.9
substituting, we have
=(99/100) * (1/2)*5 + (1/100) * (0.9)5 = 0.036842
hence from Bayes theorem
P(weighted penny | 5 time heads) =P(weighted penny and 5 time heads) / P(5 time heads)
=(1/100)*(0.9)5 /0.036842 =0.160275
Answer:
3/4 and 1/2
Step-by-step explanation:
(4x-3)(2x-1) ≥ 0
If the product of 2 numbers is zero, the one of the numbers must be equal to zero.
(4x-3)(2x-1) ≥ 0
(4x-3) ≥ 0 or (2x-1) ≥ 0
4x ≥ 0+3 2x ≥ 0+1
4x ≥ 3 2x ≥ 1
x ≥ 3/4 x ≥ 1/2
