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3 years ago

6

How many combinations of 6 students can a teacher choose from 30 students?

1 answer:

neonofarm [45]3 years ago

6 0

Answer: 593775

Step-by-step explanation: 30C6 =30x29x28x27x26x25 / 6x5x4x3x2x1 =593775

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1,200

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3 years ago

The projected sales volume of a video game cartridge is given by the function s(p) = 3000 / (2p + a), where s is the number of c

Alex_Xolod [135]

Answer: 149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function $s(p)=\dfrac{3000}{2p+a}$ , where <em>s</em> is the number of cartridges sold, in thousands; <em>p</em> is the price per cartridge, in dollars; and <em>a</em> is a constant.

Put s(p)=100000, p= 10, we get

$100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97$

i.e. $s(p)=\dfrac{3000}{2p-19.97}$

Put p=20, we get

$s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149$

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

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3 years ago