Answer:
360.124 in expanded and exponential form :
300+60+1/10+2/100+4/1000
Answer:
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Step-by-step explanation:
Straight From Brai.nly
y = -2/3x -3
x=0 y=-3 point (0,-3) over 0 down 3
x=3 y=-2/3(3) -3 =-2-3 =-5 (3,-5) go to the right 3 down 5
This question is incomplete, the complete question is;
X and Y are independent Gaussian (Normal) random Variables. X has mean 13.9 and variance 5.2; Y has mean 6.9 and variance 3.8. . (a) Calculate P( W> 10)
Answer:
P( W> 10) is 0.1587
Step-by-step explanation:
Given that;
X ⇒ N( 13.9, 5.2 )
Y ⇒ N( 6.9, 3.8 )
W = X - Y
Therefore
E(W) = E(X) - E(Y)
= 13.9 - 6.9 = 7
Var(W) = Var(X) + Var(Y) -2COV(X.Y)
[ COV(X,Y) = 0 because they are independent]
Var(W) = 5.2 + 3.8 + 0
= 9
Therefore
W ⇒ N( 7, 9 )
so
P( W > 10 )
= 1 - P( W ≤ 10 )
= 1 - P( W-7 /3 ≤ 10-7 /3 )
= 1 - P( Z ≤ 1 ) [ Z = W-7 / 3 ⇒ N(0, 1) ]
from Standard normal distribution table, P( Z ≤ 1 ) = 0.8413
so
1 - P( Z ≤ 1 ) = 1 - 0.8413 = 0.1587
Therefore P( W> 10) is 0.1587
Answer:
Area: (x^2)-(9x/2)-2 3rd side=4x+9
Step-by-step explanation:
First, let's find the third side. If all of the sums add up to 7x+5, then we can easily subtract the two sides that we do have.
2x+1+x-5=3x-4
Now, you have to ask yourself what added to 3x-4 can be equal to 7x+5.
It's 4x+9 because we combine like terms. That's the third side. Now, we should follow the formula for getting the area of triangle using the side lengths:
(2x+1)(x-5)/2=area of triangle
2x*x=2x^2
2x*-5=-10x
x*1=x
-5*1=-5
Now the total is 2x^2-9x-4 when you continue to combine like terms. Now all we have to do is divide by 2. So, the area is 2x^2-9x-4/2. You can simplify that. Answer is up top.
