Answer:
The probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is 0.4375.
Step-by-step explanation:
The probability density function or p.d.f. for the length <em>x,</em> in feet, of some type of fish caught by sport fishermen is :
The probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is:
Thus, the probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is 0.4375.
Answer:
Each side of the L-shaped sidewalk is 126 m and 32m respectively.
Step-by-step explanation:
Given:
Total length of the sidewalk = 158 meters
Cutting across the lawn the distance = 130 meters
The L-shaped lawn will be treated as a right angled triangle.
So the 130 m distance is the hypotenuse here.
Let one side of the L-shaped lawn be 'x' meter so the another side will be (158-x) meters.
Applying Pythagoras formula.
So,
⇒
⇒
⇒
⇒
⇒
⇒
⇒
Applying quadratic formula;
Quadratic formula : where a=1 and b=-158 and c=4032
So the value of x= 126 and 32.
The length of each side of the sidewalk is 'x'= 126 m and '(158-x)'='(158-126)'=32 m