Answer:
Step-by-step explanation:
Given
Required
Rewrite and identify a, b and c
The required form is:
Equate both expressions
Rewrite as:
Compare the expressions on either sides
The answer is 57.04 meters.
Solution:
The height y of the rock above the ground as a function of the horizontal distance x from the starting point on top of the hill can be modeled by the equation
y = -0.04x^2 + 1.3x + 56
We now set this equation equal to zero because the height of the ground where the rock will land is zero:
0 = -0.04x^2 + 1.3x + 56
Since we have a quadratic equation, we can calculate for the horizontal distance x by using the quadratic formula
x = [-b ± sqrt(b^2 - 4ac)] / 2a
x = {-1.3 ± sqrt[1.3^2 - 4(-0.04)(56)]} / 2(-0.04)
x = (-1.3 ± sqrt(10.65)) / (-0.08)
x = -24.54 meters or 57.04 meters
There are two solutions for x but one is negative, so we choose the positive value.
Answer:
a) Probability of no broken bats in a game P(X=0) = 0.3678
b) Probability of at-least broken bats in a game P(X≥2) = 0.2644
Step-by-step explanation:
we will use Poisson distribution
P(X=x) = e^(-λ) λ^ r/r!
a) Probability of no broken bats in a game P(X=0) = e^-1
= 0.3678
b) Probability of at-least two broken bats in a game
P(X≥2) = 1-([p(x=0)+P(x=1)]
= 1- (e^(-1)+e^(-1))
= 1-(0.3678+0.3678)
P(X≥2)= 1- 0.7356
P(X≥2)= 0.2644
Answer:
give more details please
Step-by-step explanation:
i need em, so that i can answer it.
So first you would have to make the two have common denominators. What we can do for that is say that they both go into 12. 1/6 x 2 = 2/12 and 3/4 x 3 = 9/12. Then we can add the two which is 2/12 + 9/12 = 11/12.
