Show that if there are 100 people of different heights standing in a line, then it is possible to find at least 10 people in the order they stand in the line with increasing heights, or at least 12 people with decreasing heights.
In: Advanced Math
What is rental income ? With examples.
Minimum 100 words.
In: Accounting
what is the Human impact on environment? 100 word minimum
In: Biology
A sample of steam with a mass of 0.507 g and at a temperature of 100 ∘C condenses into an insulated container holding 4.45 g of water at 4.0 ∘C.( ΔH∘vap=40.7 kJ/mol, Cwater=4.18 J/g⋅∘C) Assuming that no heat is lost to the surroundings, what is the final temperature of the mixture?
In: Chemistry
The population of the earth in the 1500s was estimated to be 100 million people. In 1990 the world population was estimated at 2,600 million. Assuming that the growth rate is proportional to the population at each moment, estimate the year in which the population is 3,000 million.
In: Math
A bond will pay a coupon of $100 at the end of each of the next 3 years and will pay the $1,000 face value at the end of the 3-year period.
What is the bond's (Macaulay) duration when valued using an annual effective interest rate of 20%?
In: Advanced Math
With an initial deposit of $100, and and interest rate of 12%, the balance in a bank account after t years is f(t) = 100(1.12)t dollars.
(a) Find the average rate of change over [0, 0.5] and [0, 1]. (Round your answers to two decimal places.)
(c) Estimate the instantaneous rate of change at t = 0.5 by computing the average rate of change over intervals to the left and right of t = 0.5. (Round your answers to four decimal places.)
| Interval | [0.5,0.51] | [0.5,0.501] | [0.5,0.5001] |
| Average Rate of Change | ? | ? | ? |
| Interval | [0.49,0.5] | [0.499,0.5] | [0.4999,0.5] |
| Average Rate of Change | ? | ? | ? |
In: Math
The IQs of a population are normally distributed with a mean of 100 and a standard deviation of 18.
a) What is the probability of a person selected at random having an IQ greater than 109?
b) What is the probability that a random sample of 20 people will have a mean IQ greater than 109?
In: Statistics and Probability
Someone is listening to a playlist of 100 songs on an original iPod, and it is programmed to play in random order. Sometimes the same song would play twice in a row; many people thought the iPod was broken. What was the problem?
In: Statistics and Probability
Explain why the goal of criminal law is not 100% prevention.
In: Economics