a.
b.
c. By the law of total probability,
According to the inclusion/exclusion principle,
but by DeMorgan's law,
So
and from there we find
d. The event of having at most two of these defects is complementary to the event that all three defects occur simultaneously:
The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼
<h3>Inverse variation</h3>
y = k ÷ x^¼
where,
- Constant of proportionality = k
When x = 3, y = 1
y = k ÷ x^¼
1 = k ÷ 3^¼
1 = k / 3^¼
1 × 3^¼ = k
k = 3^¼
Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼
Learn more about inverse variation:
brainly.com/question/10252139
#SPJ1
4y=-5x+15
y=-5/4x+15/4
y-1/2=4/5(x-1/2)
y-1/2=4/5x-2/5
y-5/10=4/5x-4/10
y=4/5x+1/10
For the trinomial to be a perfect square trinomial the coefficient for the x^2 term must. E a perfect square.
Letter C
K.E= Kinetic Engery
M=Mass
V=Velocity
m=263kg
v=5m/s
Plug the given info into the formula:
Final answer: <span>
3287.5J </span>
