Given that the population has been modeled by the formula:
a=118e^(0.024t), the time taken for the population to hit 140k will be given by:
140000=118e^(0.024t)
solving for t we shall have:
140000/118=e^(0.024t)
thus;
0.024t=ln(140000/118)
t=1/0.024*ln(140000/118)
t=295
thus the time the population will be 140000 will be:
1998+295
=2293
Answer: 3/8
Step-by-step explanation:
Since it is a fair coin, then generally, P(Head) = P(Tail) = ½
And since we've been asked to find the probability that the number of heads in the first two tosses be equal to the number of heads in the second two tosses, tossing a fair coin four times, the possible outcomes of having equal number of heads in first two tosses and second two tosses becomes:
[HHHH] or [HTHT] or [THTH] or [TTTT] or [HTTH] or [THHT]
=[½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½]
=1/16 * 6
=6/16
=3/8.
His heart beats 86,400 times within a 24 hour period.
60 minutes in 1 hour, so you would multiply 8 hours by 60 mins, giving you 480 mins. 24 hours- 8 (time he's asleep) will give you 16. 16 * 60 will give you 960 minutes. 480 minutes (when he's asleep) * 50 beats a minute = 24,000.
960 (when he's awake) * 65 beats a minute = 62,400. add 24,000 and 62,400 = 82,400 beats in 24 hours.
Answer:
D. (7.4); scale factor 2.
I’m not sure how to explain this but I’ve done it last year.
Hope that helps.