M(t)=120e−0.018t How much mass remains after 50 years? Round to 2 decimal places.
1 answer:
The mass that would remain after 50 years is 48. 79 kilograms
<h3>How to determine the amount </h3>It is important to note that half - life is the time it takes for amount of a substance to reduce to half of its initial value.
Given the equation
m(t)=120e−0.018t
Where
m(t) is the amount = unknown
t = time = 50 years
Substitute the value into the equation
Find the exponential value
m(t) = 48. 79 kilograms in 2 decimal places
Thus, the mass that would remain after 50 years is 48. 79 kilograms
Learn more about half-life here:
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We need to look up on the z-table the value of z when P(Z<z) = 0.85 or P(Z>z) = 0.15
Value of z-score when p-value P(Z>z) = 0.15 is z = 1.0364
Next step is to use the formula of z-score to work out X
z-score = (X-μ) / σ
1.0364 = (X-80) / 15
1.0364 × 15 = X - 80
X = 15.546 + 80
X = 95.5
Most likely score that Ashley gets is 95.5