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Contact [7]
3 years ago
12

In a high school band there are 11 students in the drumline section. The drumline for a football game consists of 6 students. In

how many ways can the drumline be formed for a football game?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0
If the band consists of 11 students and you have to choose 6 students for<span> the drumline for a football game, then you have to calculate the number of combinations:
</span>
C_{11}^6= \frac{11!}{6!\cdot (11-6)!}= \frac{1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\cdot10\cdot11}{1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot1\cdot2\cdot3\cdot4\cdot5}  = \frac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5} =462.

Answer: 462 ways to complete the <span>drumline for a football game.</span>
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Harry took a loan from the bank.
Pie

Answer:

The size of Harry's loan is $9000.

Step-by-step explanation:

D(t) models Harry's remaining debt, in dollars, as a function of time t, in months  that is given by :

D(t) =-200t+ 9000

We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.

Lets put t = 0, that shows no payments have been made.

This will get the amount of loan, before any payments.

D(t)=-200(0)+9000

So,D(t) =9000

Hence, the size of Harry's loan is $9000.

6 0
3 years ago
1.6% of 75.20 what is is the percent!!!
Thepotemich [5.8K]
To convert a percent to a decimal you divide by 100
1.6% = .016
You then multiply .016 times 75.20 which is 1.2032
4 0
3 years ago
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Complete the following proof.<br> Given: m ∠XOY = m ∠WOV<br> m YZ = m ZW<br> Prove: m XZ = m ZV
horsena [70]

Answer:

Step-by-step explanation:

m ∠XOY = m ∠WOV

so, m XY = m WV --- (i)

     { If angle subtended by two arcs at the center are equal, then length of arc are equal}

m YZ = m ZW  ------- (ii)    {given}

Add (i) and (ii)

XY + YZ = WV + ZW

XZ = ZV    

Hence proved.

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3 years ago
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Find the area of the following shape, you must show all work to recieve credit,
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What is the shape for your problem?


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3 years ago
a vat of milk has spilled on a tile floor. the milk flow can be expressed with the function r(t) = 4t, where t represents time i
salantis [7]
4t=r
a=pir^2
sub 4t for r
a=pi(4t)^2
a=pi16t^2
a(t)=16pi(t^2)


A. a(t)=16pi(t^2)

B. sub 4 for t
a(4)=16pi4^2
a(4)=16pi16
a(4)=16*16*3.14
a(4)=803.84 square units



A. a(t)=16pi(t^2)
B. 803.84 square units

4 0
3 years ago
Read 2 more answers
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