If the typos are randomly distributed over the 10 pages, find the probability of having a single typo on each page

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Answer 1

Answer: 1/10 assuming there is are 10 typos in total

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Use the following four coordinates to determine which one has a distance of 5 units from point A (2, 6). (5 points) (5, 2) (2, 5) (6, 7) (7, 5)

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A right triangle with legs measuring 3 units and 4 units has a hypotenuse measuring 5 units.

You need to find a point which has a difference in x and y of 3 and 4 or 4 and 3 from the point A(2, 6).

Look at (5, 2) and compare with A(2, 6).

Difference in x: 5 - 2 = 3

Difference in y: 6 - 2 = 4

Since the differences in x and y are 3 and 4, the hypotenuse will measure 5.

Answer: (5, 2)

4. A recipe says that 2 3/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 batches of biscuits? O 43/5 O 51/5 O 26/10 O 6

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the answer is the second option, 5 1/5

Suppose that dP/dt = 0.19P(t) represents a mathematical model for the growth of a certain cell culture, where P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours). How fast is the culture growing at the time t when the size of the culture reaches 2 million cells?

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Answer: 380000 cells/hour

Step-by-step explanation:

Given that dP/dt = 0.19P(t)

where

P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours).

The formula above represents a mathematical model for the growth of a certain cell culture. In essence, it represents the time rate of the growth of the cell culture, that is how fast the cell culture is growing.

Therefore, when P = 2 million cells:

dP/dt = 0.19 * 2000000 = 380000 cells/hour

Hence, the cell culture is growing at 380000 cells per hour.

Final answer:

The cell culture is growing at a rate of 0.38 million cells per hour when the size of the culture reaches 2 million cells. This is based on the given differential equation dP/dt = 0.19P(t).

Explanation:

This problem is associated with the concept of differential equations, particularly exponential growth. In this scenario, the rate of change of P(t), the size of the cell culture, is given by the equation dP/dt = 0.19P(t). This can be interpreted as the culture is growing at 19% per unit of time.

To determine how fast the culture is growing when P(t) equals 2 million cells, we need to substitute 2 for P(t) in the given equation: dP/dt = 0.19*2. This calculation returns a value of 0.38 million cells per hour. Therefore, when the size of the culture reaches 2 million cells, it is growing at a rate of 0.38 million cells per hour.