4 1/6 = 4 7/42
2 4/7 = 2 24/42
2 24/42 + 4 7/42 = 6 31/42
6 31/42 = 283/42
Simplify the following:
(k^3 k^7)/3 - 5
Combine powers. (k^3 k^7)/3 = k^(7 + 3)/3:
k^(7 + 3)/3 - 5
7 + 3 = 10:
k^10/3 - 5
Put each term in k^10/3 - 5 over the common denominator 3: k^10/3 - 5 = k^10/3 - 15/3:
k^10/3 - 15/3
k^10/3 - 15/3 = (k^10 - 15)/3:
Answer: (k^10 - 15)/3
Answer:
Histogram
Step-by-step explanation:
A histogram is a representation of approximate numerical data distribution. It was first introduced by Karl Pearson. Constructing a histogram, requires one to "bin" (or "bucket") the range of values, or say, divide the entire range of values into a series of Intervals, thereafter, count how many values fall into each interval. The bins well be specified as consecutive, and or non-overlapping intervals of a variable. The bins (intervals) is best left to be adjacent, and are often (but not required to be) of equal size.
An example of where a histogram would be used, is that of the distribution of grades on a school exam or the sizes of pumpkins, divided by size group, in a pumpkin festival.
Answer:
Step-by-step explanation:
As for the land requirements, total space must not exceed 400 acres, if each goat (x) needs 2 acres, and each llama (y) needs 5 acres, the inequality is:
As for veterinary care, total expenses must not exceed $13,200, if each goat (x) requires $100, and each llama (y) requires $80, the inequality is:
The system of inequalities that represent this linear programming is:
Answer and explanation:
Given : At Tech Express, 40% of the customers purchases small coffee and 60% purchases medium. Of those customers purchasing small coffee, 30% prefer decaf. Of those purchasing medium coffee, 50% prefer decaf.
Let customer purchase small coffee.
i.e.
customer purchase medium coffee.
i.e.
Let B be the customer purchase prefer decaf.
So,
(a) What is the probability that the next customer will request medium and decaf coffee?
i.e.
(b) What is the probability that the next customer prefers decaf?
i.e.
(c) If the next customer prefers decaf, what is the probability that small is requested?
i.e.