Answer:
Step-by-step explanation:
1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula
and substitute the x and y values of those points into it, then simplify:
So, the slope is
.
2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.
3) Substitute values for
and
in the slope-intercept formula,
, to write the equation of the line. Since
represents the slope, substitute
for it. Since
represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:

Answer:
x = 7
Step-by-step explanation:
-3 (x - 1) + 8 (x - 3) = 6x + 7 - 5x
-3 (x - 1) + 8 (x - 3) = 6x - 5x + 7
-3 (x - 1) + 8 (x - 3) = x + 7
-3x + 3 + 8x - 24 = x + 7
-3x + 8x + 3 - 24 = x + 7
5x - 21 = x + 7
+21 +21
--------------------------------------------------
5x = x + 28
-x -x
---------------------------------------------------
4x = 28
/2 /2
----------------------------------------------------
x = 7
Answer:
yes . The Expected value must always be one of its possible values of x
Step-by-step explanation:
<u>For example</u> :-
Answer:
ok
Step-by-step explanation:
Answer:
1/10
Step-by-step explanation:
There are 6 marbles in the bag. 3 out of 6 are green.
3/6 = 1/2
So, he has a 1/2 of picking a green marble.
After getting a green marble, Joe doesn’t replace it meaning there are now only 5 marbles in the bag.
Since there’s one red marble in the bag the chance of trying one is 1/5.
Now to find the chance or drawing a green and red marble you need to do the equation:
1/2 x 1/5
This equals 1/10.
The probability is 1/10