Answer:
The distribution is 
Solution:
As per the question:
Total no. of riders = n
Now, suppose the 
is the time between the departure of the rider i - 1 and i from the cable car.
where
= independent exponential random variable whose rate is 
The general form is given by:
(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:
Now, the sum of the exponential random variable with with rate is given by:
Since CM is perpendicular to AB, it follows that ∠1 and <span>∠2 are 90 degrees. Since they both have 90 degree angles, that must mean they are both right triangles.
And since </span>∠3 = ∠4 and ∠1 = ∠2, then it follows that ∠A = <span>∠B. (You can show this by showing that they must add up to 180 degrees.)
So since both right triangles have 3 congruent angles to each, then that makes them similar by AAA (angle angle angle).</span>
Answer:
Width is 10 1/2 inches and the length = 21 inches.
Step-by-step explanation:
Let the width be x then the length us 2x inches.
Perimeter = 2x + 2(2x) = 63
6x = 63
x = 10 1/2 inches.
Givens
x + y = 3
x =6 - 4y
Solution
Use the top equation to substitute for x in the second equation.
x = 3 - y
Put this result into the second given equation and solve for y
3 - y = 6 - 4y Add 4y to both sides.
3 - y + 4y = 6 Combine on the left
3 + 3y = 6 Subtract 3 from both sides
3 - 3 + 3y = 6 - 3 Combine
3y = 3 Divide by 3
3y/3 = 3/3 Combine
y = 1
=========================
x + y = 3 but y = 1
x + 1 = 3 Subtract 1 from both sides.
x + 1 - 1 =3 - 1
x = 2
Answer
x = 2
y = 1
U/9 = 8/12 u = 6
Step 1: Cancel the common factor (4)
u = 2
—- —-
9 3
Step 2: multiply both sides by 9
9u 2 * 9
—- = ——-
9 3
Step 3: simplify
2 *9 = 18
18 ÷ 3 = 6
u = 6
