Find the area of the shaded region under the standard distribution curve.
2 answers:
Answer:
D. 0.7611
Step-by-step explanation:
We have been given a graph of a normal standard distribution curve. We are asked to find the area of the shaded region under the given standard distribution curve.
The area of the shaded region under the standard distribution curve would be area of a z-score of 1.60 minus area of a z-score of that is
Using normal distribution table, we will get:
Therefore, the shaded area under the curve is 0.7611 and option D is the correct choice.
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Answer:
The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.
The function to represent the mass of the sample after t days is
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance is given by:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Hourly rate of change:
Decreases 26% by day. A day has 24 hours. This means that ; We use this to find r.
The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.
Starts out with 810 grams of Element X
This means that
Element X is a radioactive isotope such that its mass decreases by 26% every day.
This means that we use, for this equation, r = 0.26.
The equation is:
The function to represent the mass of the sample after t days is