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3 years ago

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1. April can complete a project in 3 days and Bob can complete the same project in 6 days.

2 answers:

konstantin123 [22]3 years ago

8 0

It will take three days !!

MrMuchimi3 years ago

4 0

Answer:

2 Days

Step-by-step explanation:

If April is able to complete the project in half the amount of time that Bob is, this means that she works twice as fast as Bob. If they work together, then, April will complete twice as much of the work as Bob will. This system can be represented by a simple equation.

If the project takes April 3 days to complete the project, this means that she is able to complete 1/3 of the project every day she works.

If the project takes bob 6 days to complete the project, this means that he is able to complete 1/6 of the project every day he works.

Therefore, to complete one whole project, the equation would be:

1=1/6x+1/3x

↓

1=1/2x

↓

2=x

Working together, they will complete the project in 2 days.

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Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Company fires the CEO

Event B: Shares increase by more than 5%.

Probability of a company firing it's CEO:

35% of 100 - 4 = 96%(shares did not increase by more than 5%).

60% of 4%(shared did increase by more than 5%).

So

$P(A) = 0.35*0.96 + 0.6*0.04 = 0.36$

Intersection of events A and B:

Fires the CEO and shared increased by more than 5%, is 60% of 4%. So

$P(A \cap B) = 0.6*0.04 = 0.024$

Probability that the shares of a company that fires its CEO will increase by more than 5%.

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