Answer:
Option (A) 0.40951
Step-by-step explanation:
We are given the following information in the question:
P(target) = 0.90
Let the random variable X represent the number of times he hits ring of the target with a shot of the arrow.
The probability distribution of X is
x: 0 1 2 3 4 5
P(x): 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049
The mean of discrete probability distribution is given by:

Now, we have to evaluate

Option (A) 0.40951 t is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X.
Answer:
C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground.
Step-by-step explanation:
Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.") Here (h, k) is the vertex and a is a scale factor.
Let's begin by factoring 4 out of all three terms:
f(t) = 4 [ t^2 - 2t + 6/4 ]
Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.
(To be continued)
5836200 because it's rounded
Answer:
(0, 1)
Step-by-step explanation:
The point lies on the line x = 0.
The point lies on the line y = 1.
Where both lines intersect, that is the coordinate.
(x, y)
(0, 1)