Answer:
12
Step-by-step explanation:
x = 2n
2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 80
10n = 60
n = 6
x = 12
12 + 14 + 16 + 18 + 20 = 80
Answer:
1/4
Step-by-step explanation:
coins have 2 sides, tails and heads, so for it to land on tails is a 1/2 chance. Dice have 6 sides and 1,3,5 are all odd so its a 3/6 chance. Simplify 3/6 to 1/2 and multiply by 1/2 to get 1/4. im not sure, its my guess.
Is it plus, minus, multiplication or division?
<span>65
As for the reason the average life expectancy of a Roman who reaches the age of 30 being so much higher than the average expectancy overall, that's simply a matter of taking the average of 50 and 80, verses the average of 1,6,20,50,80. Let's illustrate that by calculating the average life expectancy of a Roman at birth, and after age 30.
For birth, there's 5 ranges, each of which has the same probability. They are
[0,2]: Midpoint = 1. Probability = 0.2. Product = 1*0.2 = 0.2
[2,10]: Midpoint = 6. Probability = 0.2. Product = 6*0.2 = 1.2
[10,30]: Midpoint = 20. Probability = 0.2. Product = 20*0.2 = 4
[30,70]: Midpoint = 50. Probability = 0.2. Product = 50*0.2 = 10
[70,90]: Midpoint = 80. Probability = 0.2. Product = 80*0.2 = 16
Sum = 0.2 + 1.2 + 4 + 10 + 16 = 31.4
But upon reaching 30, there is no longer a mere 0.2 probability for those last 2 slots. The chart looks like
[30,70]: Midpoint = 50. Probability = 0.5. Product = 50*0.5 = 25
[70,90]: Midpoint = 80. Probability = 0.5. Product = 80*0.5 = 40
Sum = 65
If you look at each possible range of ages, the actual life expectancy is
at birth: 31.4 years
after age 2: 39 years
after age 10: 50 years
after age 30: 65 years
after age 70: 80 years</span>
The vertical asymptote will occur when the denominator is equal to zero, which makes f(x) approach ±oo and occurs about the vertical line x=3
