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slava [35]
3 years ago
14

A Poker club has 10 members. A president and a vice-president are to be selected. In how many ways can this be done if everyone

is eligible?
Mathematics
1 answer:
Nesterboy [21]3 years ago
7 0

Answer:

90 different ways

Step-by-step explanation:

We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.

To solve this problem, we need to calculate a permutation of 10 choose 2.

The formula for a permutation of n choose p is:

P(n, p) = n! / (n - p)!

So we have:

P(10, 2) = 10! / (10 - 2)!

P(10, 2) = 10! / 8!

P(10, 2) = 10*9 = 90

So there are 90 different ways of choosing a president and a vice-president.

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Use volume displacement to determine the volume of this metal sample to the nearest 0.1 ml.
umka21 [38]
The volume displacement method is a manifestation of Archimedes' Principle. This principle states that the volume of the object placed on a known volume of water, is equal to the volume of water displaced. Actually, it could just be any liquid. Thus, whatever the displaced volume is, that is equivalent to the volume of the metal sample. I can't give an exact answer because there is no given information. But the concept works that way.
6 0
3 years ago
The numerical value of the area of a square is 3 times it’s perimeter. What is the length of its side?
Degger [83]
Let the length be x

Area = x²
Perimeter = 4x

<span>Area of a square is 3 times its perimeter
</span>⇒ x² = 3(4x)

x² = 3(4x)
x² = 12x
x² - 12x = 0
x(x - 12) = 0
x = 0 or x = 12

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Answer: The length is 12 units.


6 0
3 years ago
One exterior angle of a regular pentagon has a measure of (2x). What is the value of x?
777dan777 [17]

x = 36

pentagon has 5 sides . The formula n/360 gives you the measure of each angle in a regular polygon. So in this case n ( stands for number of sides) is 5. Sum of exterior angle of a any polygon is 360. The measure of 1 exterior angle is given. It is 2x.

Now using ALGEBRAIC EXPRESSIONS we can write it as 5/360 = 2x

which is 72=2x

which is 72/2 = x

which is 36 = x

so x = 36.

6 0
3 years ago
write the possible range of the measurement 214 ounces +1.2% round to the nearest hundredth if necessary
boyakko [2]

9514 1404 393

Answer:

  [211.43,216.57]

Step-by-step explanation:

1.2% of 214 is ...

 0.012 × 214 = 2.568 ≈ 2.57 . . . . rounded to hundredths

Then the minimum possible value is ...

  214 -2.57 = 211.43

and the maximum possible value is ...

  214 +2.57 = 216.57

The range is 211.43 to 216.57.

3 0
3 years ago
One Euro (€) is equivalent to $1.10. A souvenir costing €15 would cost how much in dollars?
KatRina [158]
That would be $16.50
5 0
2 years ago
Read 2 more answers
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