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nalin [4]
3 years ago
14

Choose the best answer to the following question. Explain your reasoning with one or more complete sentences. At​ 11:00 you plac

e a single bacterium in a​ bottle, and at​ 11:01 it divides into 2​ bacteria, which at​ 11:02 divide into 4​ bacteria, and so on. How many bacteria will be in the bottle at​ 11:30?
Mathematics
1 answer:
pychu [463]3 years ago
7 0

Answer:

we could work this out by geometric sequence

Step-by-step explanation:

G1=2, G2=4, we have a formula,Gn=G1r^n-1

G2=G1 (r)^1, 4=2r, r=2

G30=G1 (2)^29=1,073,741,824 bacterium

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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.9 per year. a. Find t
VLD [36.1K]

Answer:

a) 9.52% probability​ that, in a​ year, there will be 4 hurricanes.

b) 4.284 years are expected to have 4 ​hurricanes.

c) The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

6.9 per year.

This means that \mu = 6.9

a. Find the probability​ that, in a​ year, there will be 4 hurricanes.

This is P(X = 4).

So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-6.9}*(6.9)^{4}}{(4)!}

P(X = 4) = 0.0952

9.52% probability​ that, in a​ year, there will be 4 hurricanes.

b. In a 45​-year ​period, how many years are expected to have 4 ​hurricanes?

For each year, the probability is 0.0952.

Multiplying by 45

45*0.0952 = 4.284.

4.284 years are expected to have 4 ​hurricanes.

c. How does the result from part​ (b) compare to a recent period of 45 years in which 4 years had 4 ​hurricanes? Does the Poisson distribution work well​ here?

The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

5 0
2 years ago
For each 11 mm of coloured fabric June uses to make her curtains, she also uses 1 cm of white fabric. Express the amount of whit
avanturin [10]

Answer:  The amount of white fabric to coloured fabric as a ratio in its simplest form is \frac{10}{11}

Step-by-step explanation:

Given :

Amount of coloured fabric used by June = 11 mm = 1.1 cm    (1 mm=0.1 cm)

Amount of white fabric used by June = 1 cm

To find : amount of white fabric to coloured fabric as a ratio in its simplest form

To find the ratio in simplest form , the units of both measurements should be same

Thus \frac{\text {amount of white fabric}}{\text {amount of coloured fabric}}=\frac{1cm}{1.1cm}=\frac{10}{11}

The amount of white fabric to coloured fabric as a ratio in its simplest form is \frac{10}{11}

3 0
3 years ago
Anyone’s know the answer??
vaieri [72.5K]

Answer:

y = 3/2x + 5/2

Step-by-step explanation:

7 0
3 years ago
Which Property Is Shown By 2+5 = 5+2?
taurus [48]
I'm pretty sure it's commutative property of addition
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2 years ago
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Answer:

If you mean how much is left after he ate 1/4 from the 2/3 then 5/12 of the pizza is left.

Step-by-step explanation:

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