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saveliy_v [14]
3 years ago
11

State if the scenario involves a permutation or a combination. Then find the number of possibilities.

Mathematics
1 answer:
Blizzard [7]3 years ago
8 0

Answer:

Permutation. ; 83810 ways

Step-by-step explanation:

Permutation and combination methods refers to mathematical solution to finding the number of ways of making selection for a group of objects.

Usually, selection process whereby the order of selection does not matter are being treated using permutation, while those which takes the order of selection into cognizance are calculated using combination.

Here, selecting 2 members (president and vice president) from 290 ; since order of arrangement does not matter, we use permutation ;

Recall :

nPr = n! ÷ (n - r)!

Hence,

290P2 = 290! ÷ (290 - 2)!

290P2 = 290! ÷ 288!

290P2 = (290 * 289) = 83810 ways

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Round to the nearest tenth
Verdich [7]

Answer:

17.7

Step-by-step explanation:

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4 0
3 years ago
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Suppose that 1 kg of Sodium-24 is reduced to 0.0156 kg in 90 hours. What is the half-life, in hours, of Sodium-24?​
N76 [4]

Answer:

14.99 hours

Step-by-step explanation:

The formula for half-life is given as,

R/R' = 2ᵃ/ᵇ...................... Equation 1

Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.

Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours

Substitute into equation 1 and solve for b

1/(0.0156) = 2⁹⁰/ᵇ

Taking the log of both side

log[1/(0.0156)] = log(2⁹⁰/ᵇ)

log[1/(0.0156)] = 90/b(log2)

90/b = log[1/(0.0156)]/log2

90/b = 6.0023

b = 90/6.0023

b =  14.99 hours

b = 14.99 hours.

Hence the half-life of Sodium-24 is 14.99 hours

7 0
3 years ago
What is the answer: 15 + 22(4 + 11) = x
kupik [55]
15+22(4+11)=x
4+11=15
22*15=330
15+330=345
x=345
3 0
3 years ago
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Answer:

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Step-by-step explanation:

Given

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3 0
3 years ago
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Anyone knows what the answer is?
8_murik_8 [283]

Answer:

I think its D.

Step-by-step explanation:

3 0
3 years ago
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