In one U.S. city, the taxi cost is $2 plus $0.50 per mile. If you are traveling from the airport, there is an additional charg
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Answer:
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Step-by-step explanation:
<u><em>The options of the question are</em></u>
−4.57 ≤ x ≤ 39.87
1.12 ≤ x ≤ 34.18
−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Let
x ----> is the number of tires produced, in thousands
C(x) ---> the production cost, in thousands of dollars
we have
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
The graph in the attached figure
we know that
Looking at the graph
For the interval [0,1.12) ----->
The value of C(x) ---->
That means ----> The production cost is under $75,000
For the interval (34.18,39.87] ----->
The value of C(x) ---->
That means ----> The production cost is under $75,000
Remember that the variable x (number of tires) cannot be a negative number
therefore
If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Answer:
Lower confidence limit = 20.191
Step-by-step explanation:
Sample mean; x' = 22
Sample standard deviation; s = 5.5
Sample size; n = 50
Confidence interval = 99%
Since sample size > 30, we will use the formula;
CI = x' ± zs/√n
Where;
x' is sample mean
s is sample standard deviation
n is sample size
z is z-value of the confidence interval
From the table attached, z for 99% = 2.3263
Thus;
CI = 22 ± (2.3263 × 5.5)/√50
CI = 22 ± 1.809
CI = 23.809 or 20.191
Lower confidence limit = 20.191
