Answer:
The correct option is (D).
Step-by-step explanation:
To construct the (1 - <em>α</em>)% confidence interval for population proportion the distribution of proportions must be approximated by the normal distribution.
A Normal approximation to binomial can be applied to approximate the distribution of proportion <em>p</em>, if the following conditions are satisfied:
In this case <em>p</em> is defined as the proportions of students who ride a bike to campus.
A sample of <em>n</em> = 125 students are selected. Of these 125 students <em>X</em> = 6 ride a bike to campus.
Compute the sample proportion as follows:

Check whether the conditions of Normal approximation are satisfied:

Since
, the Normal approximation to Binomial cannot be applied.
Thus, the confidence interval cannot be used to estimate the proportion of all students who ride a bike to campus.
Thus, the correct option is (D).
Answer:
A' = 6(3t +1)
Step-by-step explanation:
The area is the square of the side length, so ...
A = (3t +1)²
The derivative with respect to t is then
A' = 2(3t +1)·(3) = 6(3t +1)
If you like, you can multiply out the area expression first, then differentiate.
A = 9t² +6t +1
A' = 18t +6
This can be factored, if you like, to ...
A' = 6(3t +1)
Answer:
$10.45
Step-by-step explanation:
You need to add up the total price before the sale and after then subtract
<em>18.95 + 7.99 = </em><em>$26.94</em>
<em>8.99 + 7.50 = </em><em>$16.49</em>
<em>26.94 - 16.49 = </em><em>$10.45</em>
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Write the equation of the line through (5,-4); m = 1