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bagirrra123 [75]
3 years ago
5

My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are in

terchangeable). How many different starting lineups can i choose? *the answer is not 4368*
Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

3003

Step-by-step explanation:

We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)

The number of different lineups you can have can be found by using combination:

^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003

There are 3003 different lineups that can be chosen.

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the ladder leaning against the wall has slope 3

7 0
3 years ago
Find the value of x when 6-4x = 6x-8x-2.
mestny [16]

Answer:

4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6−4x=6x−8x−2

6+−4x=6x+−8x+−2

−4x+6=(6x+−8x)+(−2)(Combine Like Terms)

−4x+6=−2x+−2

−4x+6=−2x−2

Step 2: Add 2x to both sides.

−4x+6+2x=−2x−2+2x

−2x+6=−2

Step 3: Subtract 6 from both sides.

−2x+6−6=−2−6

−2x=−8

Step 4: Divide both sides by -2.

−2x−2=−8−2

x=4

here is a link:

https://www.mathpapa.com/algebra-calculator.html?q=6-4x%3D6x-8x-2.

6 0
4 years ago
Need help with this asap
valentina_108 [34]

Answer: the first one is exponential and the second one is function

6 0
3 years ago
Write the statement in the if then form perpendicular lines intersect to form right angles
kvv77 [185]

Answer: If perpendicular lines intersect, then they form right angles.


Step-by-step explanation:

You take the first part, "perpendicular lines intersect", and add the "if" to it. Then, you take the second part, "to form right angles", and add the "then" in front of it to get your answer, "If perpendicular lines intersect, then they form right angles."

Hope it helps! :)

8 0
3 years ago
A regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. What is the area of the hexagon?
Neporo4naja [7]

<u>Answer</u>

748.23 in²


<u>Explanation</u>

Apothem a line from the centre of a regular polygon at right angles to any of its sides. This can be said to be the height of the triangle in a polygon.

The base of the  hexagon = 101.8 ÷ 6

                                            = 19.96666..

                                            = 19.9667 inches

Area of the  hexagon = 1/2 × height × base length × 6

                                     = 1/2 × 14.7 × 19.9667 × 6

                                      = 748.23 in²

7 0
3 years ago
Read 2 more answers
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