At a competition, medals are awarded for first - sixth place. The total number of ways medals may be awarded can be found using a permutation. A. True B. False

Answers

Answer 1

Answer: Answer: True

Permutation deals with the number of ways in which objects can be arranged.
Combination deals with the number of ways a smaller group can be selected from a larger group.

Answer 2

Answer:

The answer to your question would be true since the permutations would deal with how many different ways the medals could possibly be distributed.

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An air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute. Select all that apply to this situation. The slope is 1000 ft per minute. The balloon is falling at 1000 ft per minute.

The y-intercept is 50 ft. The balloon falls at a rate of 50 ft per minute.

The y-intercept is 1000 ft. The balloon begins to from an initial height of 1000 ft.

The slope is -50 ft per minute. The balloon is falling at 50 ft per minute.

It will take the balloon 20 minutes to reach the ground.

Answers

Answer:

The correct options are 3, 4 and 5.

Step-by-step explanation:

It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.

It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).

The ball falls at a rate of 50 ft per minute. So, the rate of change is

$m=-50$

The height of balloon is defined as

$h(x)=-50x+1000$ $[\because y=mx+b]$

Where, x is time in minutes.

The balloon will reach the ground when h(x)=0

$0=-50x+1000$

$50x=1000$

$x=20$

Therefore the options 3, 4 and 5 are correct.

He shaded 1/3 of one rectangle and 1/4 of other rectangle. What is the least number of parts into which both rectangles could be divided?

Answers

Rectangle 1: 1/3 shaded

Rectangle 2: 1/4 shaded

First you have to look through each denominators multiples to find the lowest common denominator (LCD).

Multiples of 3: 3, 6, 9, 12, 15

Multiples of 4: 4, 8, 12, 16, 20

As you can see, both numbers are multiples of 12.

Rectangle 1: 1/3 shaded= 4/12 shaded

Rectangle 2: 1/4 shaded= 3/12 shaded

I made equivalent fractions by multiplying both the numerator and the denominator by the same number.

The least number of parts which both rectangles can be divided is 12.

Hope this helped :)

Solve each equation mentally