Answer:
The standard deviation of the number of runs required is 2447.26
Step-by-step explanation:
For each run, there are only two possible outcomes. Either the program fails, or it does not. The probability of the computer failing during a run is independent of other runs. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation for the expected number of trials for r sucesses is:
A computer program has a bug that causes it to fail once in every thousand runs, on average.
This means that 
In an effort to find the bug, independent runs of the program will be made until the program has failed six times. What is the standard deviation of the number of runs required?
This means that r = 6. So
The standard deviation of the number of runs required is 2447.26
Step-by-step explanation:
By Intersecting Chords Theorem,
9 * 4x = 8 * (4x + 2).
=> 36x = 32x + 16
=> 4x = 16, x = 4. (2)
Well we use what we know, that a triangle and a line is equivalent to 180° to find the interior angles of a triangle and possibly use the exterior (s) angles present.
An exterior angle is equivalent to the two most isolated (as in the ones all the way on the other side) interior angles combined.
So this means that m∠Y is equivalent to 138° - 79° which is 59°
Now that we know m∠Y we can find m∠XZY.
How?
Well as I had mentioned earlier a triangle has 180° we can add the two interior angles that we know and subtract it by 180°.
m∠Y and m∠X together is 59° and 79° respectively which is 138°. Now let's subtract it by 180° and get 42°
~~
m∠XZY = 42°
m∠Y = 59°
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
Answer:
$12
Step-by-step explanation:
3 cars divide that by $18 and u get $6 per car. multiply that by two cars nd you get $12.
If by standard form, you mean ax+by= c, here is how to solve.
To write the equation in standard form, move each variable term to the left side of the equation and simplify.
y+2=3/5(x + 5)
y+2= (3/5*x) + (3/5*5)
y+2= 3/5x + (3*5)/5
y+2= 3/5x +15/5
y+2= 3/5x + 3
subtract 3/5x by both sides
-3/5x+y+2= 3
subtract both sides by 2
-3/5x+y=1
multiply by 5 to eliminate fraction
-3x + 5y= 5
ANSWER: -3x + 5y= 5
Hope this helps! :)
