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Ahat [919]
3 years ago
10

At a competition with 5 runners

Mathematics
2 answers:
kenny6666 [7]3 years ago
7 0

Answer:

Permutation; number of ways = 60

Step-by-step explanation:

ankoles [38]3 years ago
5 0

Answer:

B: Permutation;  Number of ways = 60

Step-by-step explanation:

First we have to decide if this is a problem of permutation or combination. The rule is:

  • If the order matters, permutations will be used
  • If order does not matter, combinations will be used

In this problem, they order of awarding the medals matters, so this is a permutation problem.

We have to award 3 medals among 5 runners. So this can be done in 5P3 ways:

nPr=\frac{n!}{(n-r)!}\\ \\ so\\ \\ 5P3=\frac{5!}{(5-3)!}=60

Therefore, there are 60 ways to award the medal. Therefore, the correct answer is B.

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Write a translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 ). I NEED HELPPPP!
anzhelika [568]

Answer:

T_{ - 5 ,8} \: or \: D'(x,y) →D(x - 5,y + 8)

Step-by-step explanation:

T _ { ? ,?}

D'(x,y) →D(x \pm ?,y \pm ?)

given D : (7,-3), and D' : (2,5)

the coordinates of D can be represented as (x1,y1), and the coordinates of D' can be represented as (x,y).

you can simply take the difference in the x values and difference in the y values from the preimage to image.

like this:

f'(x,y) → f(x+(x-x1),y+(y-y1)) : T _ {(x-x_1),(y-y_1)}

D'(x,y) → D(x+(2-7),y+(5--3))

D'(x,y) → D(x<u>-5</u>,y<u>+8</u>) : T _ {-5 ,8}

7 0
3 years ago
Read 2 more answers
Someone please help i’m desperate to pass this quiz
slavikrds [6]

Answer:

y=2x+5

Step-by-step explanation:

8 0
3 years ago
A recipe calls for 2 3/4 cups of milk. if the recipe is tripled, how much milk is needed?
SSSSS [86.1K]
To be tripled means to be multiplied by 3. So multiply 2 3/4 by 3
2 3/4*3=8 1/4
Therefore the amount of milk needed is 8 1/4 cup
5 0
4 years ago
Determine the relationship between the number of desks in the classroom and
mash [69]

30 + 8 = 38 desks

38 x 4 = 152 legs

If you did not add those eight desks then you will have 120 legs.

So, the amount of legs will go up by 32 if you add 8 more desks.

7 0
3 years ago
Find the slope of the line through the given points (4,-2),(-1,8)
nikklg [1K]

Answer:

\displaystyle m=-2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, -2)

Point (-1, 8)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                             \displaystyle m=\frac{8+2}{-1-4}
  2. [Fraction] Add/Subtract:                                                                                  \displaystyle m=\frac{10}{-5}
  3. [Fraction] Divide:                                                                                                 \displaystyle m=-2<em><u> </u></em>
3 0
3 years ago
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