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:
x^2 + 8x + 15
Step-by-step explanation:
( x + 3 ) ( x + 5 )
1. distribute
( x + 3 ) ( x + 5 )
x^2 + 3x + 5x + 15
2. simplify
x^2 + 8x + 15
Answer: -24x^3
(the dot means multiplying right)
It is helpful to find a unit rate first. If you find a unit rate first, then it will be easier to compare
Hi there!
Since ST is a tangent to the circle, we can use the relationship: tangent squared = external secant segment x entire secant segment.
WORK:
(I will be using x in place of ST)
x^2 = 7(23 + 7)
x^2 = 7(30)
x^2 = 210
x = squareroot(210) or approximately 14.5 inches
Hope this helps!! :)