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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 manufacturer of widgets spends $5 to make each widget and sells them for $8. The manufacturer also has fixed costs each mont
Minchanka [31]

Answer:

400

Step-by-step explanation:

The manufacturer spends $5 to make each widget and sells them for $8.  This means that each widget gives him a profit of $3.

8 - 5 = 3

You need to figure out how many widgets it will take for the manufacturer to make up for the costs each month ($1200).

3x = 1200

(3x)/3 = 1200/3

x = 400

The manufacturer needs to sell 400 widgets.

3 0
2 years ago
Read 2 more answers
JKLM is a rhombus. KM is 20 and JL is 48. Find the perimeter of the<br><br> rhombus.
anygoal [31]

Answer:

104 units

Step-by-step explanation:

Given

Shape: Rhombus

JL = 48

KM = 20

Required

Determine the perimeter

The given parameter are the diagonals of the rhombus.

The perimeter (from diagonals) is calculated as thus:

P = 2\sqrt{(JL)^2 + (KM)^2}

Substitute values for JL and KM

P = 2\sqrt{48^2 + 20^2}

P = 2\sqrt{2304 +400}

P = 2\sqrt{2704}

P = 2 * 52

P = 104

<em>Hence, the perimeter is 104 units</em>

5 0
2 years ago
The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
inessss [21]
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.
7 0
3 years ago
Answers for part one and part two please!
il63 [147K]

When a customer has a 6 pound Chihuahua, the cost that will be charged is $5.00.

<h3>How to calculate the cost?</h3>

a. If a customer has a 6 pound Chihuahua, how much would you charge?

It should be noted that from the information given, for dogs that weigh 0 to 15 pounds, the amount charged is $5.00.

b. If a customer has a 65 pound Labrador, how much would you charge?

It should be noted that for dogs over 45 pounds, the amount that's charged is $9.00

There, the amount charged will be $9.00.

Learn more about cost on:

brainly.com/question/25109150

#SPJ1

3 0
1 year ago
Sandy bought 3/4 yard of red ribbon and 2/3 yard of white ribbon to make some hair bows.Altogether,how many yards of ribbon did
Stolb23 [73]
Sandy bought 1 and 5/12 yards of ribbon
5 0
3 years ago
Read 2 more answers
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