Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The number of cans is n = 4
The number of can that are empty is N = 3
The number of can filled with water is k = 1
The number number of sets of cans is w = 5
Generally probability of detecting the correct can is mathematically represented as

=> 
=> 
Generally probability of not detecting the correct can is mathematically represented as



Generally the number of cans expected of the farmer to correctly identify by chance is mathematically represented as

=> 
=> 
Answer:
2
Step-by-step explanation:
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.
Learn more about Differentiation from:
brainly.com/question/24062595
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Answer: the answer is 121/4
Step-by-step explanation:
Answer:
-75 and -77
Step-by-step explanation:
This can be wrote as
. Combine like terms and subtract 2 from both sides to get
. Divide by two to get
and then add two to get -75.