Answer:
0.942 is the required probability.
Step-by-step explanation:
We are given the following in the question:
x is a binomial random variable with n = 5 and p = 0.8.
Then,
where n is the total number of observations, x is the number of success, p is the probability of success.
We have to evaluate:
0.942 is the required probability.
Answer:
Step-by-step explanation:
Since ED is parallel to CA, the two triangles in the figure share all 3 angles and therefore must be similar. By definition, the corresponding sides of similar polygons are in a constant proportion.
Therefore, we have:
Answer:
14√2 feet
Step-by-step explanation:
The length of a diagonal of a square is where
is the side length of the square. Therefore,
.
Answer:
The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.
Step-by-step explanation:
Height of a mountain, h = 90 feet
Upward velocity of a ball, u = 64 ft/s
Its height as a function of time can be written by using the second equation of motion as follows :
.....(1)
When it will hit the ground, f(x) = 0
It is quadratic equation.
t = -6 s and t = 10 s
Neglecting -6 seconds, the ball will hit the ground at 10 seconds.
For maximum height,
Put f'(x) = 0
Put t = 2 in equation (1)
Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.