When put in matrix form, the coefficients of
... 3x -2y = 7
... x + 4y = 2
look like
The determinant is 3×4 - 1×(-2) = 14.
Answer:
y = - x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = - , hence
y = - x + c ← is the partial equation
to find c substitute (6, - 3 ) into the partial equation
- 3 = - 9 + c ⇒ c = - 3 + 9 = 6
y = - x + 6 ← equation in slope- intercept form
Choice A is one of the answers. Nice work. This is because x+x+x turns into 3x.
Choice D is the other answer because 2(x+1) + x = 2x+2+x = 3x+2. You can find this through trial and error. Or you could graph y = x+x+x+2 and y = 2(x+1)+2 to find that they are the same exact identical diagonal line. A non-graph approach would be to set up a table of values to see that the two tables are identical.
The picture of graph c would be the right one.
Answer:
a) The cumulative distribution function would be given by:
x 0 1 2 3 4 5
F(X) 0.05 0.15 0.30 0.55 0.9 1
b)
And replacing we got:
Step-by-step explanation:
For this case we have the following probability distribution function given:
x 0 1 2 3 4 5
P(X) 0.05 0.1 0.15 0.25 0.35 0.1
We satisfy the conditions in order to have a probability distribution:
1)
2)
Part a
The cumulative distribution function would be given by:
x 0 1 2 3 4 5
F(X) 0.05 0.15 0.30 0.55 0.9 1
Part b
For this case we want to find this probability:
And replacing we got: