The answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.
<h3>What is the frequency tree?</h3>
In the question we have that there are 60 students in total out of which 36 are boys:
So number of the girls will be = 60-36=24
Now if 2/3 of the boys speak french the number of the boys who speak french will be = (2÷3)x36=24
Now the number of the boys who speak german will be =36-24=12
Now since 40 students study french so we have the number of the boys who speak french is 24. so the number if the girls who speak french will be =40-24=16
Since there are 24 girls in total and out of them 16 speak french so the remaining girls speak german=24-16=8
Hence answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.
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The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
for $x increase in fare, 20x less people will take the trip and at that time the total fare F is given by
f(x) =(20 + x)(500 - 20x)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
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Answer:
52%
Step-by-step explanation:
26÷50×100
that's it, hope it's okay
Find logarithm of both sides
log (3^x) = log 8
xlog3 = log8
x = log8/log3
x = 1.893
