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.
A company specializing in lubrication products for vintage motors produce two
blended oils, Smaza and Nefkov. They make a profit of K5,000.00 per litre of
Smaza and K4,000.00 per litre of Nefkov. A litre of Smaza requires 0.4 litres of
heavy oil and 0.6 litres of light oil. A litre of Nefkov requires 0.8 litres of heavy oil
and 0.2 litres of light oil. The company has 100 litres of heavy oil and 80 litres of
light oil. How many litres of each product should they make to maximize profits
and what level of profit will they obtain? Show all your workings.
1. Show that the vector field
F(x, y, z)
=
(2x sin ye³)ix² cos yj + (3xe³ +5)k
satisfies the necessary conditions for a conservative vector field, and find a potential function for
F.
1. Newton's Law of Gravitation (an example of an inverse square law) states that the magnitude
of the gravitational force between two objects with masses m and M is
|F|
mMG
|r|2
where r is the distance between the objects, and G is the gravitational constant. Assume that the
object with mass M is located at the origin in R³. Then, the gravitational force field acting on
the object at the point r = (x, y, z) is given by
F(x, y, z) =
mMG
r3
r.
mMG
mMG
Show that the scalar vector field f(x, y, z) =
=
is a potential function for
r
√√x² + y² .
Fi.e. show that F = Vf.
Remark: f is the negative of the physical potential energy, because F = -V(-ƒ).
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