When two balanced dice are rolled, the sum of the dice can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12, giving 11 possibilities. th
RUDIKE [14]
False.
There are 36 possible outcomes, corresponding to numbers 1-6 independently appearing on each of the dice. Only one of those outcomes is double-sixes, resulting in a sum of 12. The probability that the sum is 12 is 1/36.
In short, the 11 outcomes listed in your problem statement are not equally-likely.
Answer with Step-by-step explanation:
We are given that A, B and C are subsets of universal set U.
We have to prove that
Proof:
Let x
Then 
and 
When 
then 
but 
Therefore, 
but 
Hence, it is true.
Conversely , Let 
but 
Then 
and
When 
then
Therefor,
Hence, the statement is true.
Answer:
If sin(4x–10)° = cos(40-x)°, then x = 20
Step-by-step explanation:
Easy, find the equation of the line,
Using y=mx+b form:
(-1,3) m=2
3= 2(-1)+b
3= -2+b
+2 +2
5=b
y=2x+5. This is your equation.
Now, plug in the coordinates:
(-3,2)
2= 2(-3)+5
2= -6+5
2= -1
NO
(0,5)
5= 2(0)+5
5=5
YES
(1,5)
5= 2(1)+5
5= 2+5
5=7
NO
(1,4)
4= 2(1)+5
4= 2+5
4=7
NO.
Thus, B, is your answer.
Answer:
4' - 9.64
Step-by-step explanation:
Total rise = 2' - 7"
Total run = 3' - 9"
Converting to inches :
1' = 12" ; 1 feet = 12 inches
2' = 2 * 12 = 24"
3' = 3 * 12 = 36"
Total rise = 24" + 7" = 31"
Total run = 36" + 9" = 45"
Length of stringer = hypotenus
Hypotenus = √(total rise² + total run²)
Hypotenus = √(31² + 45²)
Hypotenus = 54.644304"
= 4' - 9.64"
