Question 1 (1 point)in a local raffle, first prize is $100, second prize is $75, third prize is $50 and fourth prize is $25. If 15 people enter the raffle, how many ways
can 4 be selected to win the prizes?

Answers

Answer 1
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Simplify 2^3 + 6^1 =

In how many ways can a subcommittee of 6 students be chosen from a committee which consists of 10 senior members and 12 junior members if the team must consist of 4 senior members and 2 junior members?

Answers

Answer:

The number of ways is 13860 ways

Step-by-step explanation:

Given

Senior Members = 10

Junior Members = 12

Required

Number of ways of selecting 6 students students

The question lay emphasis on the keyword selection; this implies combination

From the question, we understand that

4 students are to be selected from senior members while 2 from junior members;

The number of ways is calculated as thus;

Ways = Ways of Selecting Senior Members * Ways of Selecting Junior Members

Ways = ^(10)C_4 * ^(12)C2

Ways = (10!)/((10-4)!4!)) * (12!)/((12-2)!2!))

Ways = (10!)/((6)!4!)) * (12!)/((10)!2!))

Ways = (10 * 9 * 8 * 7 *6!)/((6! * 4*3*2*1)) * (12*11*10!)/((10!*2*1))

Ways = (10 * 9 * 8 * 7)/(4*3*2*1) * (12*11)/(2*1)

Ways = (5040)/(24) * (132)/(2)

Ways = 210 * 66

Ways = 13860

Hence, the number of ways is 13860 ways

3x-165=7x=105
What is x?

Answers

Answer:

tutoring is available right now

The length of a rectangle is 2x - 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?A. 7x – 15
B. 10x – 15
C. 10x - 8
D. 7x-8

Answers

D is the correct anserw i believe

If there are 16 ounces in a pound how manyh are in 24 ounces

Answers

16 ounces = 1 pound
1  ounce = 1/16 pound
24 ounces = 1/6 x 24 = 4 pounds

Answer: 4 pounds

Final answer:

24 ounces equals 1.5 pounds, based on the conversion factor of 1 pound equals 16 ounces.

Explanation:

Your question is related to unit conversion. If we know that one pound equals 16 ounces, then to convert 24 ounces to pounds, we must divide 24 ounces by the number of ounces in a pound. Here's how we can do it:

  1. Set up the conversion: 24 oz / 16 oz/lb.
  2. Dividing these amounts gives the result: 24 / 16 = 1.5 lbs.

S, this means that 24 ounces is equal to 1.5 pounds.

Learn more about Unit Conversion here:

brainly.com/question/19420601

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How can data range be calculated?a.
Differences between mean and mode

b.
Differences between mean and median

c.
Differences between median and mode

d.
Differences between max value and min value

Answers

Answer:

Option: d is the correct answer.

  d.    Differences between maximum value and minimum value.

Step-by-step explanation:

We know that the data range i.e. Range of the data is the difference between the largest (i.e. maximum value) data value and the smallest (i.e. minimum value) data value.

It is calculated in following steps--

  • We arrange our data in the increasing or ascending order.
  • Then we find the difference between the maximum and the minimum value of the data set.

Luis is doing his math homework. He has 30 problems in all. After an hour, he only has 1/6 of those problems left. How many problems does he have left?

Answers

Answer:

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Step-by-step explanation:

Luis has 30 problems and after one hour, (1)/(6) of those problems are left. This means that the total number of problems left will be 30 \cdot (1)/(6).

Multiplying by a fraction is the same as dividing by a whole. The denominator of (1)/(6) is 6, so we can divide 30 by 6.

30 / 6 = 5

Hope this helped!

Answer: 25

Step-by-step explanation: 1/6 of 30 is 5, so 30 minus 5 equals 25.