A= a+b/2xheight
8+14/2 x 12
=132in
Answer:
X = 5°
Step-by-step explanation:
180° on a straight line.
180 - 100 = 80 angle ABC = 80°
angle ACB is vertically opposite to the 60° given
ACB = 60°
180 - 80 - 60 = 7x+5
40 = 7x + 5
7x = 35
X = 5
Answer: The perimeter is 20 cm
Step-by-step explanation: The top and bottom are same length, so 6+6, and the sides are the same length, so 4+4 don’t forget it’s cm and it becomes 20 cm.
PERIMITER = ADDING ALL SIDES
AREA = MULTIPLYING
If she can make 1 batch with 1/2 then with 3/2 she can make 3 batches
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
