China has the largest population of any country with approximately 1.5 billion people. In a recent year, census results indicated that 199 , 500 , 000 Chinese were over the age of 60 .If a person is selected at random from the population of China, what is the probability that the person is over 60 years old? Round to 3 decimal places.
China has the largest population of any country with approximately 1.5 billion people. In a recent year, census results indicated that 199 , 500 , 000 Chinese were over the age of 60 .If a person is selected at random from the population of China, what is the probability that the person is over 60 years old? Round to 3 decimal places.
Solution Summary: The author calculates the probability that the person selected is over 60 years old if a person is selected at random from the population of China.
China has the largest population of any country with approximately
1.5
billion people. In a recent year, census results indicated that
199
,
500
,
000
Chinese were over the age of
60
.If a person is selected at random from the population of China, what is the probability that the person is over
60
years old? Round to
3
decimal places.
Consider the function f(x) = x²-1.
(a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative.
Show all your steps clearly.
(b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the
graph where x 1 and x->
1+h (for a small positive value of h, illustrate conceptually). Then,
draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the
value you found in part (a).
(c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in
the context of the graph of f(x). How does the rate of change of this function vary at different
points?
1. The graph of ƒ is given. Use the graph to evaluate each of the following values. If a value does not exist,
state that fact.
и
(a) f'(-5)
(b) f'(-3)
(c) f'(0)
(d) f'(5)
2. Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = −3 and g'(5)
=
4.
-
3. If an equation of the tangent line to the graph of y = f(x) at the point where x 2 is y = 4x — 5, find ƒ(2)
and f'(2).
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License