Suppose that 45% of people have dogs. If two people are randomly chosen, what is the probability that they both have a dog
1 answer:
Answer:
Step-by-step explanation:
Given
Required
Probability of two people having dog
First, we have to convert the given parameter to decimal
Let P(Dogs) represent the required probability;
This is calculated as thus;
<em>P(Dogs) = Probability of first person having a dog * Probability of second person having a dog</em>
<em />
<em>Hence, the probability of 2 people having a dog is </em><em />
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For this case we have that the relationship is direct.
Therefore, we have:
Where,
y: distance traveled in kilometers
x: number of liters of fuel
k: proportionality constant
We must look for the value of k. For this, we use the following data:
This car can travel 476 kilometers on 17 liters of fuel.
Substituting values we have:
From here, we clear the value of k:
Therefore, the relationship is:
For 1428 kilometers we have:
Clearing the amount of fuel we have:
Answer:
51 liters of fuel are required for the vehicle to travel 1,428 kilometers
Answer:
503
Step-by-step explanation:
For an arithmetic sequence, the n-th term is found by
To find (the common difference) we can simply subtract one of the terms by the last, for example:
The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:
We also have to know that stands for the first term of the sequence, which in this case is 311.
Now that we know this, let's find the 32nd term
Good luck!