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monitta
3 years ago
5

​Hank's pickup can travel 80 miles on 5 gallons of gas. How many gallons will​ Hank's pickup need to travel 64 ​miles?

Mathematics
2 answers:
Makovka662 [10]3 years ago
8 0

Answer:

4

Step-by-step explanation:

80 / 5 = 16 so he can drive 16 miles on 1 gallon of gas

64 / 16 = 4 gallons of gas

mr_godi [17]3 years ago
4 0

Answer:

4 gallons

Step-by-step explanation:

80/5 will give you 16 so for each gallon the car can move 16 milles

so 64/16 = 4 so he will need 4 gallons of gas in order make the trip

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A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a
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Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that n = 17

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling less than 3 properties in one week.

This is

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0

P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001

P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011

0.0011 = 0.11% probability of selling less than 3 properties in one week.

5 0
3 years ago
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