In a baking competition between ten bakers, how many ways is it possible for the top three places, (1st -2nd - 3rd place) to be determined?

In a class of twenty students, how many ways are there to choose two students to participate in a debate?

Q:You have to write a function that contains three varibles as the following

Diamond
Gold
Silver

Each varible has a one third (1/3) chance of appearing with a random quantity between (1 & 2)

as a visual basic / C++

The stock of DT Corp was trading at $21 per share when BW Inc. announced a deal to buy DT Corp for $28 per share.

On the news, shares of DT moved up to $27 per share.

However, deal might fall through due to regulatory concerns. If the EMV of buying the stock at $27 is zero, what is the probability that the deal will go through at $28 per share? [Assume that if the deal is blocked, the stock of DT Corp. will go back down to $21]

For the following, assume air is an ideal gas with constant specific heats at 300K. Find the work and heat transfer and state whether they are into or out of the air.

In an open system, air is heated at constant pressure from 27°C, 400 kPa to 500K.

w = 0 kJ/kg, q = 201 kJ/kg

In a closed system, air is heated at constant pressure from 27°C, 100 kPa to 500K.

w = 57.4 kJ/kg, q = 201 kJ/kg

Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the conclusion. A person drilled a hole in a die and filled it with a lead​ weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of​ 1, 2,​ 3, 4,​ 5, and​ 6, respectively: 27​, 28​, 45​, 41​, 27​, 32. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair​ die?

At one hospital there is some concern about the high turnover of nurses. A survey was done to determine how long (in months) nurses had been in their current positions. The responses (in months) of 20 nurses were as follows. 27 6 9 18 29 40 31 46 16 12 11 27 33 30 32 15 24 35 12 40 Make a box-and-whisker plot of the data. Correct: Your answer is correct. Find the interquartile range?

29)

Random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below.

Model A / Model B / Model C / Model D
   26  /   27   /   20   /   28
   30  /   23   /   25   /   27
   25  /   26   /   25   /   21
   25  /   22   /   26   /   26

Test the claim that the four different models have the same population mean. Use a significance level of 0.05. Use the p-value method of hypothesis testing.

The ages of a random sample of people who attended a recent soccer match are as follows:

23 35 14 37 38 15 45

12 40 27 13 18 19 23

37 20 29 49 40 65 53

18 17 23 27 29 31 42

35 38 22 20 15 17 21

a. Find the mean age.

b. Find the standard deviation.

c. Find the coefficient of variation.

Write program that prompts the user to enter a person's date of birth in numeric form such as 8-27-1980. The program then outputs the date of birth in the form: August 27, 1980. Your program must contain at least two exception classes: invalidDay and invalidMonth. If the user enters an invalid value for day, then the program should throw and catch an invalidDay object. Similar conventions for the invalid values of month and year. (Note that your program must handle a leap year.)