Tangent in geometry means: The tangent line <span>to a plane curve at a given point is the straight
line that "just touches" the curve at that point.
Hope I helped!
- Amber
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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:
20$
Step-by-step explanation:
4$ for each muffin × 5 blueberry muffins = 20$ total
Answer:
∠ TUW = 127°
Step-by-step explanation:
∠ QRU and ∠ TUW are corresponding angles and are congruent , thus
∠ TUW = ∠ QRU = 127°
Answer:
Bus travel in 2.5 hour = 162.5 miles .
Step-by-step explanation:
Given : a bus travel at 65 mph.
To find : How far does a bus travel in 2.5 hours.
Solution : We have given
Speed of bus = 65 miles per hour.
Bus travel in 1 hour = 65 miles.
Bus travel in 2.5 hour = 2.5 * 65 miles .
Bus travel in 2.5 hour = 162.5 miles .
Therefore, Bus travel in 2.5 hour = 162.5 miles .
