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3 years ago

How many different 5-person subcommittees can be formed from a club having 12 members

1 answer:

3 0

Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792

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Plzzzz help I am stuck on number 4

Nat2105 [25]

Answer:

lol nah <3

Step-by-step explanation:

i would try and help, but not with that trump pfp my dude

8 0

3 years ago

Can someone help me with this please

seropon [69]

Answer: The system of equations is

40x + 55y = 920

40x + 65y = 1000

x is the cost of the adult ticket; y is the cost of the child ticket

Step-by-step explanation:

If you have to solve this, elimination is a good method.

Subtract the top equation from the second equation.

40x + 65y = 1000

-40x + 55y = 920 x cancels Solve for y

0 + 10y = 80 Divide both sides by 10

y = 8 . Substitute 8 for y in either equation and solve for x

40x + 65(8) = 1000

40x + 520 = 1000 Subtract 520 from both sides

40x = 1000 - 520

40x = 480 Divide both sides by 40

x = 12

4 0

3 years ago

(co Write a cosine function that has an amplitude of 2, a midline of 5 and a period of 8.

tatyana61 [14]

Answer:

y=2 cos (π/4x-π/4)

Step-by-step explanation:

Given

A cosine function has an amplitude of 2, a midline of 5 and a period of 8.

To find:

A cosine function.

Explanation:

Let the function be,

$y=Acos(ws+p)$

Since amplitude is 2.

Then,

$A=2$

Also, since the period is 8.

Then,

$w=\frac{2\pi }{8}$

$w=\frac{\pi }{4}$

And, since midline is 5.

Hence, the cosine function is,

y=2 cos ( $\frac{\pi }{4}$ x- $\frac{\pi }{4}$

6 0

2 years ago

Help plz im not smart lolz

I am Lyosha [343]

Answer:

D or $8.00

Step-by-step explanation:

The rate of change is every hour is 8. You can tell with the plotted points go up (1,8) each time. Hope this helps.

7 0

3 years ago

in 2010 Small Town’s population was 1,759 people. If it’s declining by 2% each year, what would be the population in 2020? how l

BabaBlast [244]

If the population decreases by 2% each year, that can be represented by multiplying the population by 0.98 mathematically. So if it decreases by 2% each year, an equation we can use is:

P*(0.98)^t,
where P is the current population and t is the number of years.

So in 2020, that would be 10 years from now, so the population would be:

1759*(0.98)^10 = 1437.23
Or about 1437 people.

How long till it is less than 1000? We can set up an inequality and solve:

1759*(0.98)^t < 1000

(0.98)^t < 1000/1759
t*ln(0.98) < ln(1000/1759)
t > ln(1000/1759)/(ln(0.98)) (swap the sign because ln(0.98) is a negative #)
t > 27.95

So the population would be below 1000 in about 28 years, or 2038.

4 0

3 years ago