Answer:

Step-by-step explanation:
Solve for the value of
:

-Multiply both sides by 


So, therefore, value of
is
.
Answer:
Step-by-step explanation:
The median is the average of the lengths of the two bases:
5x -20 = (12 + (4x -10))/2
5x -20 = 2x +1
3x = 21 . . . . . add 20-2x
x = 7
Then the lengths are ...
median = 5x -20 = 5·7 -20 = 15
base = 4x -10 = 4·7 -10 = 18
Part A:
The poisson distribution is given by

Thus, given that <span>the mean number of hurricanes in a certain area is 7.2 per year.
The </span><span>probability that, in a year, there will be 6 hurricanes is given by
</span>

Part B:
<span>In a 45-year period, the number of years that are expected to have 6 hurricanes is given by 0.1445 x 45 = 6.5 years.
Part C:
The poisson distribution worked here because, the observed value of the number of years that hurricanes occurred in a 45 year period which is 6 is very close to the calculated value which is 6.5</span>
1 inch on the drawing represents 11 feet in the labyrinth middle school.
Step-by-step explanation:
Step 1:
The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.
So 33 inches on the drawing is equal to 363 feet in the labyrinth school.
Step 2:
To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling
The scale factor 
So the scale factor is
. This means that 1 inch on the drawing is 11 feet in the actual school.