Each hour, the number of bacteria in Dr. Nall’s petri dish tripled. What percent is the population compared to the population th
2 answers:
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Answer:
0.5,0.25,0.125
Step-by-step explanation:
Given that a card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn.
Since here we have the draws with replacement we can say each trial is independent of the other.
i.e. the first card does not affect the second card at all.
the probability that:
a) The first card is red.
=
(b) The second card is hearts given that the first is red.
=P(second is hearts)
= 0.25
(c) The first card is red and the second is hearts.
=
(since independent)
Answer:
Step-by-step explanation:
This is your exponential growth function for population:
and these are your initial conditions with the year 2000 being t = 0
(0, 6.31) and (69, 12)
We will use those values to find the equation that models this population growth. In the coordinates, the first number is the time in years, t; the second number is the population after a certain time t goes by. In other words, the second number represents the A in our model. Using those values from the first set of coordinates will help us solve for A₀:
which is basically e raised to the power of 0 which is equal to 1, so we get from that first set of coordinates that A₀ = 6.31
Now we will use that along with the numbers in the second coordinate pair to find the value for k:
Begin by dividing both sides by 6.31 to get
and take the natural log of both sides since natural logs and e's undo each other:
Simplifying both sides give us:
.6427709734 = 69k so
k = .0093155
Now we can finally write the equation that models this population as
and we can answer the question about which year, x, will the population be 7 million, A.
Begin by dividing both sides by 6.31 to get
and again take the natural log of both sides:
and simplify to
.1037744728=.0093155t so
t ≈ 11
That means that in the year 2011 the population will be 7 million