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cupoosta [38]
3 years ago
7

Six students are being grouped into three pairs to work on a science lab. how many different combinations of three pairs are pos

sible
Mathematics
1 answer:
pychu [463]3 years ago
4 0

We want to select 3 pairs of people from a group of 6.

We use the formula:

n! / (r! * (n -r)!)

where n = 6 and r = 2

combinations = 6! / (2! * 4!) =

combinations = 6 * 5 / 2

combinations = 15


Source:

1728.com/combinat.htm




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Need help pls explain
Scilla [17]

Answer:

  • C. 93°

Step-by-step explanation:

WY  is the diameter.

WX and XY sum to 180° as half the circle.

<u>Central angle is equal to intercepted arc:</u>

  • mXY = m∠XVY = 87°
  • mWX = 180° - mXY = 180° - 87° = 93°

Correct choice is C

4 0
2 years ago
Read 2 more answers
Suppose that the length of a phone call in minutes is an exponential random variable with parameter λ = 1/ 8. If someone arrives
Elis [28]

Answer:

a) P=0.535

b) P=0.204

c) P=0.286

Step-by-step explanation:

The exponential distribution is expressed as

F(x>t)=e^{-\lambda t}

In this example, λ=1/8=0.125 min⁻¹.

a) The probability of having to wait more than 5 minutes

F(x>5)=e^{-0.125*5}=e^{-0.625}=0.535

b) The probability of having to wait between 10 and 20 minutes

F(1020)=e^{-0.125*10}-e^{-0.125*20}\\\\F(10

c) The exponential distribution is memory-less, so it is independent of past events.

If you have waited 5 minutes, the probability of waiting more than 15 minutes in total is the same as the probability of waiting 15-5=10 minutes.

F(x>15|t^*=5)=F(x>15)/F(x>5)=\frac{e^{-0.125*15}}{e^{-0.125*5}}=e^{-0.125*(15-5)}\\\\ F(x>15|t^*=5)=e^{-0.125*(10)}=F(x>10)=0.286

5 0
3 years ago
What is the value of the expression 14.72 ÷ 3.2
Bumek [7]

Answer:

Your answer =

4.6

Step-by-step explanation:

Hope it helps

5 0
3 years ago
I need the steps to this problem, please!
FinnZ [79.3K]
Hello Ashley!

This is an isosceles triangle. How do we know? Well, the two little bar they put means that it is isosceles. When you add all the angles together, you MUST find them equal to 180. Another you need to keep in mind is that the angle that are face to face with each other are ALWAYS equal.

Too much talking...we gonna solve the problem.

x + x + 72 = 180
2x + 72 = 180
2x = 180 - 72
2x = 108
x = 108/2
x= 54
That's the answer .

---------------------
What did we say earlier? We said that when we add all the angles together we MUST find them equal to 180. So, we gonna replace x by 54

54 + 54 + 72  = 180
180 = 180
So.. yes we got it right!

54 is the correct answer.

Good luck with your studies!



5 0
3 years ago
I need help with this equation
OlgaM077 [116]

Step-by-step explanation:

whats the equation lol

4 0
3 years ago
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