Answer:
D.) -4/5
Step-by-step explanation:
Ok, so we need to calculate the change in y over the channge in x, rise over run.
(3-(-2)=5 1-5=-4) -4/5
Answer:
See below.
Step-by-step explanation:
Triangle ABC will be right-angled if 2 of its sides are perpendicular to each other. When sides are perpendicular the product of their slopes = -1.
Slope of side AB = (-3-2)/(2-5) = -5/-3 = 5/3
Slope of side BC = (3- -3) / -8-2) = 6/-10 = -3/5
The product of the slopes = 5/3 * -3/5 = -15/15 = -1.
So AB is perpendicular to BC and triangle ABC is right-angled .
Answer:
2
Step-by-step explanation:
0(162/3125)+1(162/625)+2(216/625)+3(144/625)+4(48/625)+5(32/3125)
= 2
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
A because if you were doing it on a quadrant or a number line I think that would be the answer! Not 100% sorry