Answer:
The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.
Step-by-step explanation:
Let's take as example a linear function of the form: y = kx.
Where, k is the constant of proportionality.
Therefore, the proportionality constant is the point: (x, kx)
Generically it is always the point: (x, k * f (x)
Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.
When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.
u(x) ≥ 0.
9x + 27 ≥ 0 by squaring both sides
9x ≥ -27
x ≥ -3
So the domain of the function is when x ≥ -3 is true.
Answer: 336cm^3
Step-by-step explanation: First of all. We can combine the two different 4's to make this one shape so it is easier to calculate. We know to get volume it is l * w * h=v. So we just plug in the values. We have 8*3*14. Now just multiply. 8*3*14 = 336
Answer:
a. P(E) = 1033/ 2851=0.3623
P(R) = 854/2851=0.2995
P(D) = 964/2851=0.3381
P(E ∩ D) = P(E) +P(D)= 0.3623 +0.3381= 0.7004
(d) 0.423 158
Step-by-step explanation:
a. P(E) = 1033/ 2851=0.3623
P(R) = 854/2851=0.2995
P(D) = 964/2851=0.3381
(b) Are events E and D mutually exclusive?
Yes these events are mutually exclusive. If students are deferred they may be admitted later but not early. Mutually Exclusive or disjoint events do not occur at the same time.
P(E ∩ D) = P(E) +P(D)= 0.3623 +0.3381= 0.7004
(c) For the 2,375 students who were admitted, the probability that a randomly selected student was accepted during early admission is
P(E) = 1033/ 2851=0.3623
P(E) + P(D for later admission) =0.3623 + 18%*0.3381
=0.3623 + 0.0609 = 0.423 158
