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:


The answer should be 19.25
Answer:
senior tickets sold: 12
child tickets sold:8
Step-by-step explanation:
Let
x= amount of senior tickets sold
y= amount of child tickets sold
For the first equation, it should look like:
200=14x+4y
For the second equation, it should look like:
92=7x+y
So this is a systems of equations problem. So I will use substitution as it is easier:
1.) Take one of the equations (in this case ill take 92=7x+y) and make one variable have a value, in this case ill isolate the y.


2.) Take the value of y and plug it into "y" into the other equation to solve "x"

<u><em>(editor's note:instead of dividing it by 14, I multiply by 1/14 as it would look complicated in the equation solving steps)</em></u>
3.) Then plug the value of "x" to one of the equations to solve for "y" (which I'll use the 92=7x+y)

Answer:
Complementary
Step-by-step explanation:
Angle 1 and 2 make up a 90-degree angle
Hope this helps! :)
It's either b or c I am not sure