Answer:
Independent Events
Step-by-step explanation:
Two events are mutually exclusive or disjoint if they cannot both occur at the same time.
Two events are independent if the probability of occurrence of one does not affect the probability of occurrence of the other.
The complement of any event B is the event [not B], i.e. the event that B does not occur.
Australia plays Argentina for the championship in the Rugby World Cup.
At the same time, Ukraine plays Russia for the World Team Chess Championship.
A = event that Argentina wins their rugby match.
B = the event that Ukraine wins their chess match.
The two events A and B are Independent as the outcome of one does not affect the outcome of the other
Answer:
y = -3x -1
Step-by-step explanation:
the slope is -3 and the y-intercept is -1
Step-by-step explanation:
Answer:
You can do this by rolling dice 4 times
Step-by-step explanation:
If you roll a fair dice 4 times and record the findings and their orders, you can generate 6^4= 1296 possible outcomes. You can pick 1-1000 as numbers and then re-roll all the dice if the number generate 1001-1296
To translate the dice result into a number you have to multiply the dice result as following:
1st roll multiplied by 6^0 = 1
2nd roll multiplied by 6^1 = 6
3rd roll multiplied by 6^2= 36
4th roll multiplied by 6^3= 216
Let's say you roll 1, 2, 3, 4
The number generated will be: 1*1 + 2 *6 + 3 *36 + 4 *216 = 985
Answer:
diameter = m - c
Step-by-step explanation:
In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).
The sum of the lengths of the tangents from points A and B on side "c" is ...
(b-r) +(a-r) = c
(a+b) -2r = c
Now, the problem statement defines the sum of side lengths as ...
a+b = m
and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...
m -d = c
m - c = d . . . . add d-c
The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.
