Answer:
And using the normal standard table or excel we find the probability:
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 X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where 
and 
Since the distribution for X is normal then, the distribution for the sample mean 
is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:
Answer:
gotta get these points yk
Step-by-step explanation:
9514 1404 393
Answer:
2x +y = -2
Step-by-step explanation:
The bisector must have a slope that is the negative reciprocal of the slope of the line between these points. It must pass through the midpoint of the segment.
The slope of the line through the given points is ...
m = (y2 -y1)/(x2 -x1)
= (5 -(-1))/(4 -(-8)) = 6/12 = 1/2
The slope of the required bisector is then ...
m = -1/(1/2) = -2
__
The midpoint of the given segment is ...
((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)
__
Then the point-slope form of the equation of the bisector is ...
y -y1 = m(x -x1)
y -2 = -2(x -(-2))
y = -2x -4 +2
y = -2x -2 . . . . . . . slope-intercept form equation
2x +y = -2 . . . . . . . standard form equation
Answer:
-8
Step-by-step explanation:
Apply slope/gradient formula: (12 - 36)/(11 - 8) = -24/3 = -8
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), I have already posted the slope formula which you may want to save it for future reference and I'll also post some of my own notes on certain topics and also some tips that may be useful to you :)
