The average speed of a car driving down freeway is 70mph with a standard deviation of 5mph. Thid speed is normally distributed.
1 answer:
Answer:
0.081,0.2621,0.645,0.919
Step-by-step explanation:
Let X be the average speed of a car driving down freeway
Given that X is normal with mean as 70mph with a standard deviation of 5mph.
To convert to Z score we do
a) the probability that a randomly selected car is driving more than 77mph
b) probability that a randomly selected car is driving between 65 and 69 mph
=
c) the probability that a randonly selected car is driving between 67 and 77mph
=
d) the probability that a randomly selected car is driving less than 77mph
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Answer:
A. 5,8,12, side lengths can form a triangle.
B. 20, 18, 2, side lengths can not form a triangle.
C. 15, 26 , 9, side lengths can not form a triangle.
D. 4.75, 12.25, 16.25, side lengths can form a triangle.
Step-by-step explanation:
We are given three sides in options A, B , C and D.
We need to check if the given sides would form a triangle or not.
Note: Sum of two sides is always greater than third sides in a triangle.
So, we need to check the sum of two sides of given sides length to check if sum is greater than third side length.
A. 5,8,12.
5+8 is greater than 12.
5+12 is greater than 8.
12+8 is greater than 5.
Therefore A. 5,8,12, side lengths can form a triangle.
B. 20, 18, 2
18+2 is not greater than 20.
Therefore B. 20, 18, 2, side lengths can not form a triangle.
C. 15, 26 , 9
15+9 is less than 26.
Therefore C. 15, 26 , 9, side lengths can not form a triangle.
D. 4.75, 12.25, 16.25.
4.75+12.25 is greater than 16.25.
4.75+16.25 is greater than 12.25.
12.25+16.25 is greater than 4.75.
Therefore D. 4.75, 12.25, 16.25, side lengths can form a triangle.
