A new highway was built outside of tri town to relieve traffic on Route 1. How many miles are saved by traveling on the new high
1 answer:
By applying the Pythagorean Theorem, the number of miles saved is: 4 miles.
<h3>What is the Pythagorean Theorem?</h3>If c is the hypotenuse of a right triangle, and the lengths of the two legs are a and b respectively, the Pythagorean Theorem states that, c = √(a² + b²).
The diagram showing the new highway is attached below.
The diagram represents a right triangle. SO, apply the Pythagorean Theorem to find how long it is to travel on the new highway from point A to B.
Thus:
AB is the hypotenuse of the right triangle.
AB = √(AC² + BC²)
Plug in the values
AB = √(12² + 5²)
AB = 13 miles.
Moving from A to B without the highway = AC + BC = 12 + 5 = 17 miles.
Miles saved travelling on the new highway = 17 - 13 = 4 miles.
Therefore, by applying the Pythagorean Theorem, the number of miles saved is: 4 miles.
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Answer:
0.055 = 5.5% probability that exactly 5 employees were over 50.
Step-by-step explanation:
The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
7 + 18 = 25 employees, which means that
7 over 50, which means that
10 dismissed, which means that
What is the probability that exactly 5 employees were over 50?
This is P(X = 5). So
0.055 = 5.5% probability that exactly 5 employees were over 50.