A traffic engineer records a sample of the types of vehicles that cross a bridge. She counts 112 passenger cars, 18 light trucks
1 answer:
Answer:
<em>The approximate probability that a random vehicle is a passenger car is 74.67%</em>
Step-by-step explanation:
<u>Probability</u>
The traffic engineer records 112 passenger cars, 18 light trucks, and 20 heavy trucks. The total of vehicles recorded is n=112+18+20 = 150.
We are required to find the probability that a randomly selected vehicle crossing the bridge is a passenger car. There are 112 passenger cars, thus the probability is:
p = 0.7467
p = 74.67%
The approximate probability that a random vehicle is a passenger car is 74.67%
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Answer:
3.897
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded