Answer:
- If a group of 9 kids have won a total of 100 trophies, then at least one of the 9 kids has won at least 12 trophies.
- If a person buys at least 400 cups of coffee in a year, then there is at least one day in which the person has bought at least two cups of coffee.
- The average of three real numbers is greater than or equal to at least one of the numbers.
Explanation:
1)
Suppose that each kid has less than 12 trophies
Total trophies = 100
Maximum trophies won by one kid = 11
total kids = 9
total number of trophies = 9 * 11 = 99 which contradicts the fact the total number of trophies are 100
2)
Suppose that person has less than 2 cups of coffee a day
Total cups of coffee = 400
he has bought at least one cup of coffee each day
which means
total number of cups of coffee = 1* 366 = 366 which contradicts the fact the person buys at least 400 cups of coffee in a year
3)
Average of three number = (a+ b+ c)/3
suppose that there are real numbers a, b, and c such that all three numbers are less than the average of the three numbers.
Let m be the average (a+b+c
)/3 = m. Then our assumption states that (a < m) and (b < m) and (c < m). By adding all the inequalities we get a + b + c < 3m. But m is defined to be (a+b+c)
/3 , so a + b + c = 3m. But now we have that 3m = a + b + c < 3m. So 3m < 3m which is an obvious contradiction. Thus our claim is true
The answer in the space provided is the Diffie-Hellman Key
Exchange. This is entitled to be the first published key algorithm in which has
a limit in which the exchange occurs in secret values and that its purpose was
to enable two users to have an exchange of key in a secure manner in means of
using it for a subsequent symmetric encryption in terms of messages.
Answer:
Se explaination
Explanation:
/Declaring variables
integer currentPrice
integer lastMonthPrice
integer changeLastMonth
float mortagage
//Reading input
currentPrice = Get next input
lastMonthPrice = Get next input
//Calculating price change
changeLastMonth = currentPrice - lastMonthPrice
//Calculating mortagage
mortagage = (currentPrice * 0.051) / 12
//Printing output
Put "This house is $" to output
Put currentPrice to output
Put "\nThe change is $" to output
Put changeLastMonth to output
Put " since last month." to output
Put "\nThe estimated monthly mortgage is $" to output
Put mortagage to output
Answer:E. Employees will achieve close cooperation with others.
Explanation: Employees will close cooperation with others as a result of the expansion of the company to the Bangor Republic where the group is the primary unit of social organisation, When a company expands to new locations it boosts employment morale and corporation as they find it as a form of expansion and overall good of the employees and their employer, most of expand as a result of favourable economic climates.
The question involves basic polymorphism. The following is the partial flow of the program.
baseItemPtr = new BaseItem();
baseItemPtr.setLastName("Smith");
derivedItemPtr = new DerivedItem();
derivedItemPtr.setLastName("Jones");
derivedItemPtr.setFirstName("Bill");
itemList.add(baseItemPtr);
itemList.add(derivedItemPtr);
for (i = 0; i < itemList.size(); ++i) {
itemList.get(i).printItem();
}
return;
