a. The events are mutually exclusive, so
b. For the same reason,
Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:
and the right side reduces to 0.
c. Same as (b),
d. Same as (b),
We can also use the distributivity rule for unions and intersections to write
e. If the 
is the complement of 
, then by DeMorgan's law,
Answer: You start to ascend
Explanation:
Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.
Let
= y-coordinate after walking due south
= z-coordinate (or the height) after walking due south
So, the point where you stand after walking due south has a coordinate of
. Moreover,
Since the y-coordinate decreases after walking due south and
,
So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.
Answer:
4.5 or 1 1/8
Step-by-step explanation:
2 1/4 is a full box to back 1/2 of the flour you need to divide 2 1/4 in half
Half of 2 is 1 & half of 1/4 is 1/8
Answer:
17.4 ft²
Step-by-step explanation:
The formula to find the area of a triangle:
1/2 x b x h, where b is the base and h is the height.
1) Substitute the given values into the formula and solve it.
= 1/2 x 6 x 5.8
= 1/2 x 34.8
= 17.4
Answer:
x=4
Step-by-step explanation:
-(7-4x)=9
-7+4x=9
4x=16
x=4
