So what is the answer to The spinner below is spun twice. What is the probability of the arrow landing on a 3 and then on an odd
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1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3
Recall that , so
ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3
Condense the left side by using sum and difference properties of logarithms:
Then
ln(2/3 <em>x</em> ¹ʹ³) = 3
Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)
exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)
Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to
2/3 <em>x</em> ¹ʹ³ = exp(3)
Now solve for <em>x</em>. Multiply both sides by 3/2 :
3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)
<em>x</em> ¹ʹ³ = 3/2 exp(3)
Raise both sides to the power of 3:
(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³
<em>x</em> = 3³/2³ exp(3×3)
<em>x</em> = 27/8 exp(9)
which is the same as
<em>x</em> = 27/8 <em>e</em> ⁹
Answer:
Number of box seats = 1000
Number of lower deck seats = 5000
Number of upper deck seats = 4000
Step-by-step explanation:
Let number of box seats =
Let number of lower deck seats =
Let number of upper deck seats =
As per question statement:
...... (1)
Cost for box seat = $10
Cost for box seats = 10
Cost for lower deck seat = $8
Cost for lower deck seats = 8
Cost for lower deck seat = $5
Cost for lower deck seats = 5
As per question statement:
..... (2)
..... (3)
Putting value of in (1) and (2):
....... (4)
8 (4) - (5):
10000
By (3):
Now, by equation (1):
= 5000
Number of box seats = 1000
Number of lower deck seats = 5000
Number of upper deck seats = 4000