Answer:
Step-by-step explanation:
15/60 = 1/4 = 25%
15/3 = 5 = 500%
15/30 = 1/2 = 50%
15/1500 = 1/100 = 1%
Answer:


And the mean would be:

And the standard deviation of total time would be:


Step-by-step explanation:
Previous concepts
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".
Solution to the problem
Let total life time of t four transistors T = X1 + X2 + X3 + X4 (where X1,X2,X3 and X4 are life time of individual transistors
For this case the mean length of time that four transistors will last


And the mean would be:

And the standard deviation of total time would be:


Answer:
-12
Step-by-step explanation:
Answer:

Step-by-step explanation:
By the Pythagorean theorem, triangle BCD has

and triangle ABD has
.
Substituting the first equation into the second equation for
gives the equation

Now triangle ABC has

Expanding out the left side,
.
Now substitute the equation from before,
, into the new equation.


We work to isolate
by adding
to both sides of equation and subtracting
from both sides.

Divide both sides by 2 and you get 
Assume that x is positive and square root both sides to get the final result of

Answer:
50.24ft^3
Step-by-step explanation:
Volume of a cylinder
= Pi r^2 h
Given
pi = 3.14
Radius r = 2 ft and
Height h = 4 ft
Therefore
Volume = 3.14 x 2^2 x 4
= 3.14 x 2 x 2 x 4
= 50.24ft^3