Final answer:
There are 7,750 different ways the two winners can be chosen from the 125 students volunteering for the prom committee, calculated using the combination formula C(n, k) = n! / (k!(n-k)!).
Explanation:
To determine how many different ways the two winners can be chosen from the 125 students, we need to use the concept of combinations, because the order in which we choose the winners doesn't matter. The formula for combinations is given by:
C(n, k) = n! / (k!(n-k)!)
where:
n represents the total number of items,
k represents the number of items to choose.
For this situation:
n = 125 (total students),
k = 2 (winners to choose).
Therefore,
C(125, 2) = 125! / (2!(125-2)!)
= 125! / (2! * 123!)
= 125 * 124 / (2 * 1)
= 7750
So, there are 7,750 different ways the winners can be chosen to win free tickets to the prom.
What is the value of the expression 2 (exp) 2 + 4 (exp) 2 ÷ 2 (exp) 2?
I'm learning about Equivalent systems of equations, please help!
a male lion needs as much as 15 pounds of food each day or 105 pounds of food each week.how much does a lion need in one year.
I'm just checking i have the answer i just want to check thx
If a male lion eats 15 pounds of food each day or 105 pounds each week, it would need about 5460 pounds of food in a year. We arrive at this by multiplying the weekly amount (105 pounds) by the number of weeks in a year (52 weeks).
Explanation:The question is asking how much food a male lion needs in a year if it eats 15 pounds of food each day, or 105 pounds per week. If we want to know how many pounds of food a lion needs for an entire year, we would need to multiply that weekly amount by the number of weeks in a year. There are 52 weeks in a year. So, we take 105 pounds of food per week and multiply it by 52.
Calculation: 105 × 52 = 5460
So, a male lion needs about 5460 pounds of food in a year.
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Identify the rate that does not belong with the other three. Justify your response
4.5 feet per second
112.5 in 25 seconds
86.4 feet in 18 seconds
54 feet in 13 seconds
10 friends go out to lunch and order 9 large pizzas. The friends divide the pizzas evenly. Find how much pizza each friend got as a decimal
1\4 15\100 is it >,<, or =
Multiply 8.88x10 to the 4th power. Explain the shift of the digits and the change in the value of each digit
The product of a non zero rational number and a irrational number is always sometimes or never irrational
The science department buys the equipment shown in the table they bought all three items this year and how many years will they have had by all three items again
Ethan wrote the number four million,three hundred five thousand, seven hundred sixtu-two as 4,350,762.Describe and correct his error.
Hal, Zelda, Maya , and Jason each recorded the height and age of 5 classmates. They used the data to create the tables below.
If you can help that would be greatly appreciated
Angie is wrapping a present for her best friend. The box is 16 inches long, 12 inches wide, and 3 inches high. How many square inches of wrapping paper does Angie need for her present
Write two multiplication expressions that have a product of 20,000.
A rope 25 feet long is cut into 3 pieces. The forest piece is 2x feet long, the second piece is 5x feet long, and he third piece is 4 feet long.
a. Write and solve and equation find x.
b. Find the length of the first and second piece
7.9 * 10^7 +6.58*10^6=
Container A is 13 inches by 19 inches. by 25 inches.Container B is 13 inches by 13 inches by 31 inches.In cubic inches,how much greater is the volume of Container A.
Convert the following decimal below into a rational number 0.1
It can be expressed as the fraction 1/10, because 0.1 has one decimal place.
The student has asked to convert the decimal 0.1 into a rational number. A rational number is a number that can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero. To convert a decimal to a rational number, we consider the place value of the decimal. Since 0.1 has one decimal place, it can be expressed as 1/10. Hence, the decimal 0.1 as a rational number is 1/10.
record the product 8x43 using expanded form to help
A decimal that contains digits that continue forever in a pattern is called a(n) ____ decimal
complete the sentence below using one of the words. 'Power, Base, Exponent'
The number 1,000,000 is a(n) ______ of 10
The number 1,000,000 is a 6 power of 10.
Given that,
An incomplete statement is given,
The number 1,000,000 is a(n) ______ of 10.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1000000 = 10ˣ
10⁶ = 10ˣ
x = 6
Thus, The number 1,000,000 is a 6 power of 10.
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A bus service drives passengers between Milwaukee and Chicago every day. They travel from city to city eight times each day. The distance between the two cities is 89 miles..In February there are 28 days. The company's budget allows for 28,000 total miles for February. Do you think the budget is reasonable? Explain
Answer:
Yes the budget is reasonable.
Step-by-step explanation:
A bus service drives passengers between Milwaukee and Chicago every day for eight times each day.
The distance between the two cities is 89 miles.
So, total distance covered per day = [tex]89\times8=712[/tex] miles.
Total distance covered in 28 days = [tex]28\times712=19936[/tex] miles.
As give, The company's budget allows for 28,000 total miles for February.
So, yes the budget is reasonable, as it is less than 28000.
Tell me whether the expressions in each pair are equivalent... Please i beg Someone to answer this!
1. 6m+1 and 1x6+m
2. 9y and 9+y
3. mp+nq and mq+np
4. -(5-q) and 9-5
5. 8-4c and 4c-8
6. 3(5+z) and 15+2
Pls put down your answer in form!
Help me find the answer
Approximate √39 to the nearest whole number
What is the product of 5 + 2i and 7 + 3i?
Kevin is 14 inches taller than George. The difference between Kevin and Richard is two inches less than between Richard and George. Kevin at 6'6" is the tallest. How much tall are Richard and George?
Richard is 6'1" and George is 5'11" tall.
To calculate Richard and George's heights, we start with Kevin being 6'6" and 14 inches taller than George, meaning George is 5'4".
The difference between Kevin and Richard is 2 inches less than between Richard and George, making Richard 6'1" and George 5'11".
In which expressions of the exponent be multiplied
The library charges $0.75 a day for overdue videos and $0.12 a day for overdue books. Emily pays a total of $3.48 in late fees. How many days late were the items?
What value represents a number 10 times as great as 581,000?
The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The graph of f(x) = x2 is made narrower. The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.