Answer:
B: 4/5x -2y ≥ 3
Step-by-step explanation:
The first thing I always look for is the y-intercept which in this case is around -1.5 (-
). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around 
. So now, your equation is y = x -1 
. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ x -1 .
Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤ 
x -3. The last step is to rearrange the inequality so that it matches the answers on the question.
3 ≤ x - 2y
x - 2y ≥ 3
Answer:
Z and B are independent events because P(Z∣B) = P(Z).
Step-by-step explanation:
After a small online search, I've found a table to complete this problem, that we can see below.
For two events Z and B, we have:
P(Z|B) = probability of Z given that B
such that:
P(Z|B) = P(Z∩B)/P(B)
So, two events are independent if the outcome of one does not affect the outcome of the other.
So, if the probability of Z given B is different than P(Z) (the probability of event Z) means that the events are not independent.
So Z and B are independent if the probability of Z given B is equal to the probability of Z.
P(Z|B) = P(Z)
In the table we can see:
P(Z|B) will be equal to the quotient between all the cases of Z given B (126) and the total cases are given B (280)
P(Z|B) = 126/280 = 0.45
Similarly, we can find P(Z):
And P(Z) = 297/660 = 0.45
So we can see that:
P(Z|B) = P(Z)
Thus, B and Z are independent.
It's b because you have to round up
Answer:
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Find all the areas and add them together
Base Rectangle : LxW = 14 x 12 = 168
Bases Triangles (2) 2x (8x12)/2 = 96
2 Lateral rectangles 14x10 =140 (double) = 280
Surface Area = 168 +96 + 280 = 544
