Can someone actually help me with this? I got so many fake answers :( Math Pls :') <3
1 answer:
Answer:
I saw this question wasn't answered by anyone yet so I can help you with this one!
A is 8
B is 4
C is 3
D is 5
Area: 100
Now to find area with these its the same except for the triangles here in this photo I showed the area for each figure BY ITSELF so the thing with the triangles the formula is to do base × height thennn ÷ by 2 So i did 4 × 3 = 12 then divide by 2 and got 6 for both of those triangles as you see in the photo! Then I just did base × height for the rectangles! I did 8 × 4 = 32 and since it had a matching rectangle there was another 32 as displayed in the photo then the middle triangle I simply just did 8 × 3 cause thats the base and height and I got 24 now we just have to add these up! 6 + 6 + 32 + 32 + 24 = 100 so 100 is our area! Hope that makes sense and an easy trick for those triangles to remember to divide by 2 is a triangle is half of a rectangle/square like I displayed in another photo Hope that helps!
You might be interested in
Answer:
a) Mean, E(X) = - 0.5
Variance = = 9.25
b)
or
⇒
⇒
Step-by-step explanation:
Given:
moment generating function of X as:
MX(t) =
a) Now
Mean, E(X) =
Thus,
or
also,
Thus,
or
Therefore,
Mean, E(X) =
or
Mean, E(X) = - 0.5
and
or
= 9.5
also,
Variance(X) = E(X²) - E(X)²
⇒ 9.5 - (-0.5)²
= 9.25
b) Now,
Let f(x) be the PMF of X
Thus,
or
⇒
⇒
Therefore,
at x = 0, P(x) =
at x= - 4 ,P(x) =
at x = 5, P(x) =
Thus,
E(X) =
or
E(X) = - 0.5
also,
= 9.5
Hence,
Var(X) = E(X²) - E(X)²
⇒ 9.5 - (-0.5)²
= 9.25