Answer:
The more the experiment is repeated the more the experimental probability should appear with the theoretical probability but they do not necessarily have to be the same.
Step-by-step explanation:
The theoretical probability would be the one calculated with the formula, the favorable cases divided by total cases and instead the experimental probability, is the quotient between the number of times the event occurred and the total number of events.
This means that the experimental probability, the more the experiment is carried out, the more it will appear to be the theoretical probability, because this is a trend, in this case, the more it is repeated, the more this trend is reached, but it is not necessarily the same.
Xy = 216
x = 216/y
2x + 2y = 60
2(216/y) + 2y = 60
432 + 2y^2 = 60y
2y^2 - 60y + 432 = 0
y = 18 , y = 12
if y = 12
x = 216/12
x = 18
length = 18
width = 12
Correct answer is C.
Both models have equal volume.
Model B has a larger surface area.
By solving a system of equations, we will see that m measures 12 units.
<h3>
How to get the measure of m?</h3>
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
B. x = 5 and y = -13
Step-by-step explanation:
Subtract the constant on the left:
... (x +yi) = (9 -4i) -(4 +9i)
... = (9 -4 +i(-4-9))
... = 5 -13i
Matching real and imaginary parts, we see that ...
... x = 5, y = -13
