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3 years ago

9 students volunteer for a committee. How many different 7-person committees can be chosen?

1 answer:

7 0

If order doesn't matter (e.g. all the positions in the committee are essentially identical) then the number of possible choices is $\dbinom97=\dfrac{9!}{7!(9-7)!}=36$ .

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The acceleration function a(t) (in m/s2) and the initial velocity v(0) are given for a particle moving along a line.

klemol [59]

Answer:

A: $v(t)=-t^2+4t-5$

Step-by-step explanation:

Acceleration is second derivative of position, velocity is first derivative. Therefore, the velocity is the integral of acceleration.

$v(t)=\int\ {2t+4} \, dt$

Integrate:

$-t^2+4t+C$

V(0)=-5:

$-0^2+4(0)+C=-5\\C=-5$

Therefore, v(t):

$v(t)=-t^2+4t-5$

7 0

3 years ago

5x + 3x - 2 = 22<br><br> Number only please.

sattari [20]

x=3

5x+3x-2=22

8x-2=22

8x=24

x=3

7 0

2 years ago

Read 2 more answers

Helppp meeee please

nekit [7.7K]

Answer:

The Equation for lyft is:

4.50x

The Equation for uber is

2.50x+5

Step-by-step explanation:

If you want to determine which one is better then you can just plug in the distance in place of x. For example if it asked you which one was better for 5 miles, uber or lyft you could plug 5 into the equation.

It would look like this

Lyft: 4.50 (5)= 22.5

Uber

2.50 (5) +5= 17.5

If the distance were 5 miles uber would be the better option.

5 0

1 year ago

Read 2 more answers

Find the equation of the line which passes through (-2,-2) and (2,-4).

Lena [83]

See photo hope it helps

5 0

3 years ago

Read 2 more answers

Mickey keeps picking playing cards out of a standard deck of 52 cards, hoping that she will

andrew-mc [135]

Answer:

03%

Step-by-step explanation:

In this situation Mickey should have drew first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.

Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore required probability is P(A∩B)=P(A)*P(B)

Now, there are 13 diamonds and 39 other cards. Hence,

P(A)=( $\frac{39}{52}$ )⁷=0.1335

After drawing 7 non-diamond cards, the 8th card must be a diamond.Hence,

P(B)= $\frac{13}{52}$ =0.25

Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)

Therefore probability that Mickey will draw her first diamond on the 8th

attempt is 3%

7 0

2 years ago