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sineoko [7]
2 years ago
11

Every given minute an ameba is equally likely to do one of 3 things: (1) Die (2) Divide into two (3) Stay the same. If the ameba

divides, each of the two cells will continue the above cycle independently. What is the probability that the ameba colony generated from a single cell will eventually die out.
Required:
What is the probability that the ameba colony generated from a single cell will eventually die out?
Mathematics
1 answer:
nadya68 [22]2 years ago
8 0

Answer:

1

Step-by-step explanation:

we have the probability of dyng = 1.3

we have probability of ying =

p0 = p1 = p2 = p3 = 1/3

d = dying

d=\frac{1}{3} (1+d+d2)

we cross multiply from here

3d = 1+d+d2

3d-d = 1+d2

2d = 1 + d2

(d-1)2 = 0

2d - 2 = 0

2d = 2

divide through by 2

d = 1

therefore there is a a confirmed probability that the ameba from a single cell is eventually going to die out.

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3 years ago
In 4 ​hours, an experienced cook prepares enough pies to supply a local​ restaurant's daily order. Another cook prepares the sam
vodka [1.7K]

Answer:

9\frac{1}{3}hours

Step-by-step explanation:

Let third cook take x hours to prepare the same number of  pies y alone

Let y be the number of pies

In 1 hour ,third cook prepare pies=\frac{y}{x}

One experienced cook takes time to prepare enough pies  =4 hours

In 1 hour , cook prepare pies=\frac{y}{4}

Another cook takes time to prepare same number of pies =7 hours

In 1 hour , another cook prepare pies=\frac{y}{7}

All three cooks take time to  prepare the same number of pies=2 hours

In 1 hour,all three cooks  prepare  pies=\frac{y}{2}

According to question

\frac{y}{4}+\frac{y}{7}+\frac{y}{x}=\frac{y}{2}

y(\frac{1}{4}+\frac{1}{7}+\frac{1}{x})=\frac{y}{2}

\frac{1}{4}+\frac{1}{7}+\frac{1}{x}=\frac{1}{2}

\frac{1}{x}=\frac{1}{2}-\frac{1}{4}-\frac{1}{7}

\frac{1}{x}=\frac{14-7-4}{28}=\frac{3}{28}

x=\frac{28}{3}=9\frac{1}{3} hours

Hence, the third cook takes time to prepare the same number of pies alone=9\frac{1}{3}hours

8 0
3 years ago
What is 35% of 98? I need Help with this problem?
elena55 [62]
35% of 98 is 34.3

Change the percentage (35) into a decimal by dividing over 100:

35 / 100 = 0.3

Multiply the decimal and 98:

0.35 × 98 = 34.3
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3 years ago
What is 2 multiplied by 12x
Flura [38]
24x would be the correct answer
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3 years ago
Read 2 more answers
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