Answer:
90π yd²
Step-by-step explanation:
the surface area of a cylinder is the sum of the lateral area and twice the aera of one end of the cylinder: π·d·l, where l represents the length of the cylinder. Here, the lateral surface area is π·6 yd·12 yd, or 72π yd².
The two ends add the following to the total surface area:
2·π·(d/2)², or 2π·d²/4.
Thus, the total surface area of the cyl. is
A = 2π·(6 yd)²/4 + 72π yd², or
A = 18π yd² + 72π yd² = 90π yd²
Note: Please check your source. L x W + 2pi ·r ^2 is incorrect.
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron. Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar. Hope this helps!! :)
Answer:
Step-by-step explanation:
In every right triangle, a leg is given by the multiplication of the sine of its opposite angle and the hypothenuse.
In this case, the opposite angle of x is 15°, and the hypothenuse is 300. So, we have
Hello! So because the value in the parenthesis is less than one, this represents exponential decay. 0.75 is 75% in decimal form. Percents are parts of 100. let's multiply that number from 100. 100 - 75 is 25. There. The rate of depreciation is 25%.
Answer:
a) 0.25
b) 52.76% probability that a person waits for less than 3 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which 
is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
In this question:
a. Find the value of λ.
b. What is the probability that a person waits for less than 3 minutes?
52.76% probability that a person waits for less than 3 minutes
