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GarryVolchara [31]
3 years ago
8

A culture of bacteria has an initial population of 8300 bacteria and doubles every 10 hours. Using the formula Pt=P0*2^t/d , whe

re Pt is the population after t hours, P0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?
Mathematics
1 answer:
tatiyna3 years ago
8 0

Answer:

10,219 bacteria

Step-by-step explanation:

In this question, we are asked to calculate the population of bacteria in a culture given the formula for the population increase.

From the question, we know the formula to use is

Pt=Po*2^t/d

From the parameters in the question, we identify that Pt is ?, Po is 8300 bacteria , t is 3 hours and d is 10 hours which is the doubling time. Inserting these figures we have;

Pt = 8300 * 2^(3/10)

Pt = 8300 * 2^0.3

Pt = 10,218.5

Pt = 10,219 bacteria to the nearest whole number

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Step-by-step explanation:

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(x-6)(x-1)

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The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w
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Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem we have that:

The average number of hours worked per week is 43.4, so \mu = 43.4.

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This means that the Z score of X = 48 has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use Z = 1.175.

Z = \frac{X - \mu}{\sigma}

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Answer:

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Two golfers completed one round of golf. The first golfer had a score of +6 and the second golfer had a score of –3. How many mo
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                                             Question 16

Given that two golfers completed one round of golf.

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It is clear that the first golfer is 6 over par, while the second golfer is under 3.

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adding -3 to both sides

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Thus, the second golfer has taken 9 more shorts.

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When we talk about credit, it means:

Credit = +

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Debit = -

Thus,

Credit = +84

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Balance = 84 + (-29)

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Thus, the balance is: 55

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