Answer:
45
Step-by-step explanation:
c(x)=2x^2-4x-3
Let x= -4
c(-4)=2(-4)^2-4(-4)-3
= 2(16) +16-3
=32+16-3
45
Answer:
2/3=0.6667
Step-by-step explanation:
Let X be the cycle time for trucks hauling concrete to a highway construction site
Given that X is U(50,70)
Hence pdf of X is
Let A be the event that cycle time is no more than 65 minutes and
B the event cycle time exceeds 55 minutes
Required probability
= the conditional probability that the cycle time is no more than 65 minutes if it is known that the cycle time exceeds 55 minutes
= P(A/B)
=
Answer:
1 box is $2.5
2 box is $5
3 box is $7.5
6 box is $15
Step-by-step explanation:
A parabola in analytical geometry is a curve drawn that has either 2 x-intercepts or y-intercepts. You can see visually that it is a parabola if it forms an arc that passes either the x-axis or y-axis twice. Nevertheless, it would have two roots, so the equation must be quadratic.There are 2 possible equations for a parabola:
(x-h)² = +/- 4a(y-k) or
(y-k)² = +/- 4a(x-h), where
(h,k) are the coordinated of the vertex
a is the distance of the focus from the vertex
From the problem, it says that the vertex is at the origin, so the coordinates are (0,0). That means h=0 and k=0. Also, the focus is a=3. Thus, the possible equations for the reflector are
x² = +/- 12y and y² = +/- 12x
Any of those are possible because the problem mentions that it can open anywhere. Therefore, it could open downwards(-) or upwards(+) if it passes the x-axis twice; or to the left(-) or to the right(+) if its passes the y-axis twice.
Answer:
solid
Step-by-step explanation:
it makes sence
