MATHEMATICS HIGH SCHOOL

a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

7-3= 4

7*6*5 = 210

3*2 = 6

210/6 = 35

Took the test this is the correct answer

Answer 2

Answer: Well, you could assign a letter to each piece of luggage like so...

A, B, C, D, E, F, G

What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.

My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.

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A -In 2000 , The United States government owed about $5.63 trillion to its creditors . The population of the United States was 282.4 million people . How much did the government owe per person in 2000 / Round to the nearest dollarB) In 2005 , the bebt had growth to $7.91 trillion , with a population of 296.9 million
How much did the government owe per person ? Round to the nearest dollar.

c- What was the percent increase in the average amount owed per person from 2000 to 2005 ?

Thank you my friend ! please make sure you answer with all the step and information .

Answers

A

5.63 trillion=5.63 million, million

how much per person is
282.4 million
(5.63million, million)/(282.4 million)=(5.63 million)/(282.4)= (5,630,000)/(282.4)=19936.2
round
$19,936 per person

B same thing

7.91 trillion=7.91 million, million

how much per person is
296.9 million
(7.91million, million)/(296.9 million)=(7.91 million)/(296.9)= (7,910,000)/(296.9)=26641.9
round to nearest dollar
$26642

C. increase from
19,936 to 26,642
find difference
26,642-19,936=6706
percent increase=increase/original=6706/19936=0.336/1
percent means parts out of 100
.336/1 times 100/100=33.6/100=33.6%
aprox 34%

A. $19,936
B. $26,642
C. 33.6%

A randomly generated list of numbers from 0 to 4 is being used to simulate an event, with the numbers 3 and 4 representing a success. What is the estimated probability of a success?

Answers

Answer:

40%

Step-by-step explanation:

a.p.e.x

2/4=1/2 because 3 and 4 are 2 of four numbers

Help me ASAP! ANSWER ALL

Answers

Answer:

Step-by-step explanation:

2. I think C

3.D

4.D

5.B

6. D

7.B

8.A

9.A I think

The ratio of cats and dogs is 6:13. If there are a total of 117 dogs, how many cats are there

Answers

Answer:

Step-by-step explanation:

6 : 13

x : 117

117 /13 = 9

6 * 9 = 56

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. If all of the available 3,392.92 cubic inches of the liquid is to be poured into 30 glass spheres, what should the diameter of each sphere be? Assume that each sphere is filled to the top.

Answers

The volume of a sphere:
$V=(4)/(3) \pi r^3$
r - the radius

3392.92 cubic inches are poured into 30 spheres.
$3392.92=30 * (4)/(3) \pi r^3 \n \n3392.92=40\pi r^3 \ \ \ \ \ \ \ \ \ \ \ \ |/ 40 \n \n84.823=\pi r^3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ \pi \n \nr^3=(84.823)/(\pi) \n \nr=\sqrt[3]{(84.823)/(\pi)} \n \nr \approx \sqrt[3]{27} \n \nr \approx 3$

The diameter is twice the radius.
The diameter of each sphere should be approximately 6 inches.

Answer:

6 inches

Step-by-step explanation:

correct on Plato/ edmentum courseware

The figure has been decomposed into three rectangles as shown. A figure is decomposed into 3 rectangles. The rectangles are 4 inches by 2 inches, 6.5 inches by 2 inches, and 4 inches by 1.5 inches. Find the area of each piece of the composite figure. The area of the top rectangle is A = 4 in.(2 in.) = 8 in2. The area of the middle rectangle is A = 2 in.( in.) = in2. The area of the bottom rectangle is A = 4 in.( in.) = in2. The total area of the figure is in2.

Answers

Final answer:

The areas of the three rectangles in the decomposed figure are 8 in², 13 in², and 6 in², respectively, whereas the total area of the composite figure is 27.0 square units.

Explanation:

First, we need to calculate the area of each rectangle separately. The area of a rectangle can be found using the formula Length x Width.

For the first rectangle, with dimensions of 4 units by 2 units, we multiply 4 by 2 which gives us an area of 8 square units.

Similarly, for the second rectangle, having dimensions of 6.5 units by 2 units, multiplying 6.5 by 2 gives us an area of 13.0 square units.

Lastly, for the third rectangle with dimensions 4 units by 1.5 units, multiplying 4 by 1.5 gives us an area of 6.0 square units.

After finding the area of all three rectangles individually, we add them all up to get the total area of the composite figure. Hence, the total area is 8 + 13.0 + 6.0 = 27.0 square units.

Learn more about Area of rectangles here:

brainly.com/question/15218510

#SPJ6

Answer:

27 in³

Step-by-step explanation:

4 × 2 = 8 in²

6.5 × 2 = 13 in²

4 × 1.5 = 6 in²

Total area = 8 + 13 + 6

27 in²

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