Answer :
Answer:
Step-by-step explanation:
1) The number of combinations of the letters A, B, C, D, and E taken 4 at a time is 5.
The formula for the number of combinations is n!/(r!(n-r)!), where n is the total number of items, and r is the number of items to be selected. In this case, n = 5 and r = 4. Therefore, the number of combinations is 5!/(4!(5-4)!) = 5.
Theoretical probability is the likelihood or chance of an event occurring based on the ratio of the number of favorable outcomes to the total number of possible outcomes.
2) The theoretical probability of rolling a 2 on a die is 1/6.
There are six possible outcomes when rolling a die, and only one of those outcomes is a 2. Therefore, the probability of rolling a 2 is 1/6.
3) The theoretical probability of landing on blue when spinning the spinner is 1/5.
There are five possible outcomes when spinning the spinner, and only one of those outcomes is blue. Therefore, the probability of landing on blue is 1/5.
4) The ratio of wine lists to cookbooks in simplest form is 3/2.
To simplify the ratio, divide both the numerator and denominator by their greatest common factor, which in this case is 6. 18/6 = 3, and 12/6 = 2, so the ratio of wine lists to cookbooks in simplest form is 3/2.
5) The probability of drawing a red or yellow marble from the bag is 8/14 or 4/7.
There are a total of 14 marbles in the bag, 5 of which are red and 3 of which are yellow. Therefore, the probability of drawing a red or yellow marble is (5+3)/14 = 8/14 or 4/7.
6) The probability of drawing a number greater than 10 from a ball numbered 1-100 is 9/10.
There are 90 numbers greater than 10 in the set of numbers from 1 to 100, and there are 100 total numbers. Therefore, the probability of drawing a number greater than 10 is 90/100, which simplifies to 9/10.
7) The mean of the set of data {10, 15, 25, 50} is 25.
To find the mean, add up all of the numbers in the set and divide by the total number of numbers. (10+15+25+50)/4 = 100/4 = 25.
8) The median of the set of data {6, 23, 46, 3, 17} is 17.
To find the median, first put the numbers in order from smallest to largest: 3, 6, 17, 23, 46. Since there are an odd number of numbers in the set, the median is the middle number, which is 17.
9) The mode of the set of data {3, 7, 10, 18, 4, 5} is no mode.
The mode is the value that appears most frequently in the data set. In this case, none of the values appear more than once, so there is no mode.
10) In a stem-and-leaf plot, the leaf represents the ones place of the numbers in the data set.
The stem-and-leaf plot is a way to organize numerical data by placing the tens digit in the stem and the ones digit in the leaf.
11) Finding quartiles is like finding medians.
Quartiles divide a data set into
