Answer:
$44.03
Step-by-step explanation:
<u>Payment due:</u>
<u>19% tip:</u>
<u>Total payment:</u>
$ 44.03 to be paid in total including 19% tip.
Answer:


Step-by-step explanation:
A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer.
This means that the null hypothesis is that the mean is exactly 8, that is:

You do not want the vending machines to deliver too much or too little soup.
We don't want the mean to be different from 8, which means that the alternative hypothesis is given by:

Answer:

Step-by-step explanation:

Answer:
a) d= 2x + (54/x)
b) x = √27 m ≈ 5.2 m
Step-by-step explanation:
a) Given
The average number of drops = n
Height in meters from the point where the whelk is dropped = x
If n(x) = 1 + (27/x²)
Then, the total vertical distance the crow travels upward to open a whelk is the height (x) times the average number of times the crow has to fly upwards to try again
d = 2xn = 2x*(1 + (27/x²)) = 2x + (54/x)
b) To minimize the distance consider the first derivative
d' = (2x + (54/x))' = 2 - (54/x²)
and d' = 0 give us (x must be positive)
2 - (54/x²) = 0 ⇒ x = √27 m ≈ 5.2 m