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Lesechka [4]
3 years ago
14

The Clayton Valley Charter High Football team recently accepted 20 athletes. The 20 athletes are invited to a "meet and greet" i

n the small gym. If each new athlete shakes hands with everyone else, then the number of handshakes that took place is
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

380

Step-by-step explanation:

Each person shakes hands with nineteen other people, so if there are twenty people 19x20=380 handshakes took place.

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A u.s. customs inspector decides to inspect 3 out of 16 shipments for contraband. find the probability that 2 out of the 3 shipm
xz_007 [3.2K]
There are C(5,2) = 10 ways to choose 2 contraband shipments from the 5. There are C(11, 1) = 11 ways to choose a non-contraband shipment from the 11 that are not contraband. Hence there are 10*11 = 110 ways to choose 3 shipments that have 2 contraband shipments among them.

There are C(16,3) = 560 ways to choose 3 shipments from 16. The probability that 2 of those 3 will contain contraband is
  110/560 = 11/56 ≈ 19.6%

_____
C(n,k) = n!/(k!(n-k)!)
8 0
3 years ago
The temperature changed from 7°F at 6 p.M to -5°F at midnight. What was the difference between the high and low temperatures? Wh
IgorC [24]

Answer:

12 °F

2°F per hour

Step-by-step explanation:

The difference can be found by substracting:

7°F-( -5 °F)

=12 °F

To find the average change in temperature per hour, divide by how many hours between 6 to midnight. Between 6 to midnight is 6 hours.

12°F / 6 hours

= 2°F/ hour

7 0
2 years ago
You sell soup mixes for a fundraiser. For each soup mix you sell, the company that makes the soup receives x dollars l, and you
Whitepunk [10]

Answer: $ 6

Step-by-step explanation:

Here, the cost price of each soup = x dollars

The cost price of 16 soup = 16 x

The selling price of 16 soup = 16 x + 96

Since, the total money received for 16 soup = The selling price of 16 soup - The cost price of 16 soup

= 16 x + 96 - 16 x

= 96

Thus, the total money received for 16 soup = 96 dollars

⇒ The total money received for 1 soup = \frac{96}{16} dollars

⇒ The total money received for 1 soup = 6 dollars

Hence, for each soup 6 dollars is received.

7 0
3 years ago
In the electric currect​ flow, it is found that the resistance​ (measured in the units called​ ohms) offered by a fixed length o
Morgarella [4.7K]
Let x be the resistance of the wire with the larger diameter.
x = (0.456 x (0.01)^2)/(0.0401)^2 = 0.0284 ohms
The answer is 0.0284 ohms.

7 0
2 years ago
Calculate the mean of the following list of numbers: 3, 5, 2, 10, 6, 3, 7, 3
BabaBlast [244]

Answer:

4.875

Step-by-step explanation:

The mean is the average of all the numbers or all the numbers added up divided by how many numbers so

3+5+2+10+6+3+7+3=39 and there are 8 numbers so

39/8 is 4.875 or 4 7/8

4.875

6 0
3 years ago
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