Answer:
5
Step-by-step explanation:
substitute the given values for p and q into the expression
= = = 5
First convert yards to feet.
1 yard = 3 feet.
100 x 3 = 300 feet long.
53 x 3 = 159 + 1 = 160 feet wide.
Now use the Pythagorean theorem to find the diagonal.
x^2 = 300^3 + 160^2
x^2 = 90000 + 25600
x^2 = 115600
x = √115600
x = 340 feet
Answer: The question is incomplete, here is the complete question ;
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter ? = 0.01327. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.
Step-by-step explanation:
- X = denote the distance (m)
- P (X > x) = exp( - 0.01342x)
- Therefore, P (X < = 100) = 1 - P (X > 100) = e-0.01342 X 100 = 0.2613 ; the probability that the distance is at most 100 m
- Similarly, P (X < =200) = e-0.01342 X 200 = 0.0683 ; At most 200 m
- P(100 < X <200) = 0.2613 - 0.0683 = 0.193 ; Between 100 and 200 m
One of the other angles is 72. Vertically opposite angles are equal.
Two angles that are side by side on this arrangement are supplementary.
That means they are to 180
x + 72 = 180
x = 180 - 72
x = 108
Answer
the for angles are
72 + 72 + 108 + 108