If there are 15 boards there are 14 gaps in-between.
But first, 15 boards each 9 and 1/4th inches so you get a total of 138 inches and 3/4th
If you subtract that from 144 you get 5 inches and 1/4th. The remaining amount is the total of all of the distance from the spacing.
Then you divide that by 14 (number of gaps/spacing in-between.)
So you get .375 inches. (3/8)
So width of the spacing between each board is 3/8ths of a inch
$90
50 for rent and equipment, 30 for wood and materials, 10 for delivery
50 + 30 + 10 = $90
Answer:

Step-by-step explanation:
Assuming a mean of $204 per night and a deviation of $55.
a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)?
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean"
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the cost per night at the hotel, and for this case we know the distribution for X is given by:
Where
and 
And let
represent the sample mean, the distribution for the sample mean is given by:

We are interested on this probability

And the best way to solve this problem is using the normal standard distribution and the z score given by:

If we apply this formula to our probability we got this:


And we can find this probability on this way:

Answer:
141
Step-by-step explanation:
Area of a trapezium =
(a + b)
h = height
a and b = upper and and lower lengths
Area of a trapezium =
(10 + 16)
=
× 26
= 117
Area of a triangle =
× base × height
=
× 6 × 8
=
× 48
= 24
Total area = Sum of the areas of both the shapes
= 117 + 24
= 141
answer: when you take 5280 feet times two (2 miles) and then divide by three you get 3,520 feet