X/4 = 12
⇒ x= 12*4
⇒ x= 48
The final answer is x= 48~
The Decay rate for any function can be calculated by the formula Decay rate = [ difference in y values ÷difference in x values in given interval.].
Decay Rate for the exponential function in the interval -2≤x≤0. is (4-1)÷(-2-0)
= 3÷2.
Decay rate for quadratic function in same interval =[ (4-0)÷-(-2-0)] = 2÷1.
Ratio of decay rates=
Option D The exponential function decays at three-fourths the rate of the quadratic function. is the right answer.
Based on the calculation below, the likelihood that if someone died they were a heavy smoker is 42.11%.
<h3>How do we calculate the likelihood of an occurrence?</h3>
Let:
Likelihood that a non-smoker will die = x
Therefore, we have:
Likelihood that a light smoker will die = 2 * x = 2x
Likelihood that a heavy smoker will die= 2 * 2x = 4x
From the above, we have:
Expected number of non smokers that will die = 50% * x = 0.5x
Expected number of light smokers that will die = 30% * 2x = 60%x = 0.6x
Expected number of heavy smokers that will die = 20% * 4x = 80%x = 0.8x
Total expected = 0.5x + 0.6x + 0.8x = 1.9x
Therefore, we have:
Likelihood that a heavy smoker died = Expected number of heavy smokers that will die / Total expected = 0.8x / 1.9x = 0.4211, or 42.11%
Learn more about likelihood here: brainly.com/question/14832179.
#SPJ1
Simplifying
(x + -16) * 2 = 256
Reorder the terms:
(-16 + x) * 2 = 256
Reorder the terms for easier multiplication:
2(-16 + x) = 256
(-16 * 2 + x * 2) = 256
(-32 + 2x) = 256
Solving
-32 + 2x = 256
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '32' to each side of the equation.
-32 + 32 + 2x = 256 + 32
Combine like terms: -32 + 32 = 0
0 + 2x = 256 + 32
2x = 256 + 32
Combine like terms: 256 + 32 = 288
2x = 288
Divide each side by '2'.
x = 144
Simplifying
x = 144
I think is (4,6) for sure
