Answer:
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
Since the warranty on a machine specifies that it will be replaced at failure or age 4 and the distribution for X is defined between 0 and 5 then if we define the random variable Y ="the age of the machine at the time of replacement" we know that the values for Y needs to be between 0 and 4 or between 4 and and we can define the following density function:
for other case
Now we can apply the definition of expected value and we have this:
And for the second moment we have:
And the variance would be given by:
1.
Use the two points given in the graph, and plug them into the slope formula.
slope = m = (y2, y1)/(x2 - x1)
slope = m = (3 - 1)/(0 - 1) = 2/(-1) = -2
Another way of calculating the slope is
slope = m = rise/run
slope = m = -2/1 = -2
As you can see, both methods give you the same answer.
2.
Here you have again two given points, so use the formula.
slope = m = (-3 - 1)/(-2 - 1) = -4/(-3) = 4/3
1/2 is half, so two halfs are in one inch?
Answer:
I think it's $109.17
Step-by-step explanation:
36.39 x 3 (weeks)
is 109.17
The complete question in the attached figure
we know that
The measure of the interior angle is the half-summit of the arcs that comprise it and its opposite.
so
∠ BED=(1/2)*[arc BD+arc CA]-------> (1/2)*[70+180]----> 125°
∠ BED=125°
∠ CEA=∠ BED-----> 125°
∠ AED=∠ CEB
so
2*∠ AED=360-125*2------> 2*∠ AED=110------> ∠ AED=110/2----> 55°
the answer is∠ AED= 55°