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The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
Learn more about substitution method at:
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Option C: The solution set is
Explanation:
The expression is
Now, let us find the solution set.
Switch sides, we get,
Dividing by 2 on both sides, we have,
Thus,
Hence, the above expression becomes,
Simplifying, we get,
Applying the log rule, we get,
Simplifying, we have,
Applying the log rule, we have,
Thus, the solution set is
Hence, Option C is the correct answer.
Answer: 0.0136
Step-by-step explanation:
Given : Mean :
Standard deviation :
Sample size :
The formula to calculate the z-score :-
For x = 24
The p-value =
Hence, the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years = 0.0136