3x-2 = 5x-14
Subtract 3x from each side:
-2 = 2x -14
Add 14 to each side:
12 = 2x
Divide both sides by 2:
x = 12/2
x = 6
Sure. From those choices, the only one that makes sense is that he
didn't perform enough trials. Technically, you can't expect the experimental
probability to match the theoretical probability until you've rolled it an infinite
number of times.
I have a hunch that even for only 60 trials, such a great discrepancy between
theory and experiment is beginning to suggest that the cubie is loaded. But
you really can't say. You just have to keep trying and watch how the numbers
add up.
The bases are both 2, so we would subtract the exponents. This is because the rule is
(a^b)/(a^c) = a^(b-c)
In this case,
a = 2
b = 3/4
c = 1/2
So this means
b - c = (3/4) - (1/2) = (3/4) - (2/4) = 1/4
After subtracting the exponents, the final exponent is 1/4
So the expression simplifies to 2^(1/4) which is the same as
![\sqrt[4]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2%7D)
(fourth root of 2)
10 / 2 = 5
16 / 2 = 8
The equivalent ratio is 5:8
ANSWER
Option B
and
Option D.
EXPLANATION
The graph of the function has an amplitude of 2 and a period of

Choose all the equation that has an amplitude of 2 and a period of

These are:

and

The second and the last options are correct.