
,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer:
Answer:
The student council made more snow cones per hour than the parent volunteers.
Explanation:
To find the number of snow cones made per hour:
XXX
Divide the number of snow cones made
XXX
by the number of hours spent making snow cones.
Parent volunteers
XXX
Number of snow cones:
120
XXX
Number of hours spent making snow cones:
5
Number of snow cones per hour:
120
÷
5
=
24
Student council
XXX
Number of snow cones:
100
XXX
Number of hours spent making snow cones:
4
Number of snow cones per hour:
100
÷
4
=
25
Since the student council made
25
snow cones per hour and the parent volunteers only made
24
snow cones per hour:
the student council made more snow cones per hour.
Step-by-step explanation:
Answer:
(5,-4)
Step-by-step explanation:
If reflected over the x-axis, the quadrilateral would be in the fourth quadrant. N' would be at (1,-1) and P' at (6,-1). To reflect, look at the y-coordinate of the point and turn it to negative. With point Q, it's at (5,4) so we just flip the 4 to -4 and that's our point! (5,-4)
Answer:



--- y intercept
Step-by-step explanation:
Given:
x = weeks; y = copies
The right parameters are:
After 1 week, 5840 copies were downloaded
After 5 weeks, 13090 copies were downloaded
So, the (x,y) forms are:


Next, we calculate the slope (m) using:




The equation is then calculated using:




To calculate the y intercept, substitute 0 for x



The answer is B.)
The answers are using the distributive property. The distributive property multiplies both the numbers inside the parenthesis by the number that's on the outside of the parenthesis.
6x3 = 18, 6x4x=24x.
Hope this helps :) work hard!