14. The ant population (P) doubles every week (n). The

Mathematics

1 answer:

alexira [117]3 years ago

6 0

Answer:

P = 5,200

P = 5.2 × 10³

Step-by-step explanation:

Given:

P = 100 x 2n

Where,

P = population

n = number of weeks

What would the population be after 26 weeks?

P = 100 x 2n

= 100 × 2(26)

= 100 × 52

= 5, 200

P = 5,200

In scientific notation,

P = 5.2 × 10³

What is the initial population?

P = 100 x 2n

When n = 1

P = 100 x 2n

= 100 × 2(1)

= 100 × 2

= 200

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It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra

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Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

$P(R/TH)=\frac{P(R y TH)}{P(TH)}$