What I gather from the question is that has second moment and variance , and you're asked to find the expectation and variance of the random variable .
From the given second moment and variance, we find the expectation of :
Expectation is linear, so
Using the same variance identity, we have
and
so that
Alternatively, we can use the identity
The measure of <COD and <POT are 43 and 43degrees respectively
The point where two lines meet or intersect is known as an angle:
Is <COP and angle TOD are vertical angles, this means that they are equal i.e.
Given that:
<COP = 11x - 17
<TOD = 9x + 11
Equate both expressions
11x - 17 = 9x + 11
11x - 9x = 11 + 17
2x = 28
x = 28/2
x = 14
Get <COP
<COP = 11x - 17
<COP = 11(14) - 17
<COP = 154-17
<COP = 137 degrees
Since <COP = <TOD, hence <TOD = 137 degrees
Calculate <COD:
<COD + <TOD = 180
<COD + 137 = 180
<COD = 180 - 137
<COD = 43 degrees
Also <POT = <COD = 43degrees(vertically opposite angles)
Hence the measure of <COD and <POT are 43 and 43degrees respectively
Learn more here: brainly.com/question/17247176
Total weight of three items is 2.875 pounds
<em><u>Solution:</u></em>
Given that,
Maya is packing her backpack for hike
From given,
<em><u>How much weight do these three items add to her backpack?</u></em>
Add all these together
Thus total weight of three items is 2.875 pounds
Answer:
The answer is 40°
Step-by-step explanation:
Solution
Now,
The Measure of major arc FD = 280°
Thus,
One complete angle measure 360°
Then
m∠FED = 360 - 180
m∠FED = 80°
Thus,
FE = DE ( the same circle Radius)
∠EFD = ∠EDF ( opposite angles to equal sides are equal)
Now
Applying angle sum property of a triangle in ΔEFD
∠EFD + ∠EDF + ∠FED = 180°
∠EFD + ∠EFD + 80 = 180
2∠EFD = 100
∠EFD = 50°
Hence, GF is tangent to the circle and the tangent always make right angles with the radius of the circle.
∠EFG = 90°
∠GFD + ∠EFD = 90°
∠GFD + 50 = 90
∠GFD = 40°
Therefore, The measure of the angle GFD is 40°
What language is this in because I don't understand any of it?