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 ) =
= = 0.180
⇒P( | X ) = 0.180
b.)
P(Y | ) =
= = 0.998
⇒P(Y | ) = 0.998
Step-by-step explanation:
Given:
A vector field is conservative if
Looking at the components,
Since the x- component is not equal to zero, then the field is not conservative so there is no scalar potential .
Answer:
The slope intercept is y=mx+b
y=-1x (you go down one over one from your y-intercept)
y=-1x-1 (It would be minus one because that is where it crosses the y-axis)
Step-by-step explanation:
The number of cells of strain A follow the linear model
, where
denotes the number of cells of that strain and
is time in hours. Meanwhile, strain B follows
. The time
when both strains have the same number of cells is the intersection of these two lines, or the solution to
You have
so after 5 hours, both strains should have the same number of cells.
Answer:
x = 3
Step-by-step explanation:
Step 1: Write out equation
16 = 9x + 4 - 5x
Step 2: Combine like terms
16 = 4x + 4
Step 3: Subtract 4 on both sides
12 = 4x
Step 4: Divide both sides by 4
3 = x
Step 5: Rewrite
x = 3