5. Banana splits sold 84 , sundaes sold 72
Answer:
The inequality is 6 + 3x ≤ 12 or x ≤ 2 .
Step-by-step explanation:
Given that $6 is for admission which is a fixed amount, $3 is charged per hour and must not spend more than $12. So the inequality will be :
Let x be the no. of hours,
6 + 3x ≤ 12
Solve :
6 + 3x ≤ 12
3x ≤ 12 - 6
3x ≤ 6
x ≤ 6 ÷ 3
x ≤ 2
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
1/12 of the brownies because there are 11 other parts of the 1/4the of the third..photo included
X = width
2x = length
2x + 4x = 48
6x = 48
x = 8
2x = 16
8*16 = 128
Your answer should be that the area is 128 square yards. Hope this helps!
