Answer:
78.75 cm³
Step-by-step explanation:
Volume = Width × Height × Length
V = 5 × 4.5 × 3.5
V = 78.75 cm³
Answer:
a) P(
| X ) = 0.180
b) P(Y |
) = 0.998
Step-by-step explanation:
Let
P(X) - Probability that he acts hungry
P(Y) - Probability that he had ate dinner,
Given,
P(X | Y) = 0.5
P(X |
) = 0.99
P(Y) = 0.9
a.)
P(
| X ) = ![\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }](https://tex.z-dn.net/?f=%5Cfrac%7BP%28%20X%20%7C%20Y%5E%7BC%7D%20%29.%20P%28Y%5E%7BC%7D%20%29%20%20%20%7D%7BP%28%20X%20%7C%20Y%5E%7BC%7D%20%29.%20P%28Y%5E%7BC%7D%20%29%20%2B%20P%28%20X%20%7C%20Y%20%29%20.%20P%20%28Y%29%20%7D)
=
= 0.180
⇒P(
| X ) = 0.180
b.)
P(Y |
) = ![\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }](https://tex.z-dn.net/?f=%5Cfrac%7B%281%20-%20P%28X%20%7C%20Y%20%29%20%29%20.%20P%28Y%29%7D%7BP%28%20X%5E%7BC%7D%20%29%20%20%7D%20%3D%20%20%5Cfrac%7B%281%20-%20P%28X%20%7C%20Y%20%29%20%29%20.%20P%28Y%29%7D%7B%201%20-%20P%28%20X%20%29%20%20%7D)
=
= 0.998
⇒P(Y |
) = 0.998
Answer:
(3)x+(3)
Step-by-step explanation:
- the slope is 3 because rise/run and rise is 3 and run is 1 from point (-2,0) and (0,3)
- the y intercept is 3
- plug it in the formula which is y=mx+b (m is slope and b is y intercept