I think it is x becase you said (there were x fans)
Solve the equation:
3e^(2x + 1) = 12
e^(2x + 1) = 12/3
e^(2x + 1) = 4
2x + 1 = ln(4)
2x + 1 = ln(2^2)
2x + 1 = 2 ln(2)
2x = 2 ln(2) - 1
x = [ 2 ln(2) - 1 ] / 2 <----- this is the answer.
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Checking:
2x + 1 = 2 ln(2)
2x + 1 = ln(4)
e^(2x + 1) = e^[ ln(4) ]
e^(2x + 1) = 4
3e^(2x + 1) = 3 * 4
3e^(2x + 1) = 12 (checked)
I hope this helps. :-)
The probability that one will get the required result on the next roll as described in the game is; 1/36.
<h3>What is the probability of getting the required roll to secure a win in the game?</h3>
It follows from the task content that to secure a win in the back gammon game using the standard dice, one must roll double threes.
Hence, the probability of such result to occur can be evaluated as follows;
P (double threes) = 1/6 × 1/6
= 1/36.
Read more on probability;
brainly.com/question/24756209
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Of the choices offered, the shortest perimeter is that of an area
C) length = 45 yards, width = 22 2/9 yards
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A perimeter shorter yet will be had by an area 10√5 yards by 20√5 yards.