Answer:
cos x = 0.5
Step-by-step explanation:
Using the trigonometric identity
cot x = 
Given
sin x cot x = 0.5, then
sin x × = 0.5 ← cancel sin x on numerator/ denominator
cos x = 0.5
Answer:
C+11/c+9
Step-by-step explanation:
3c+33/3c+18 = c+11 / c+6
C^2+17c +66 = (c+6)(c+11)
C^2 +20c+99 = (c+11)(c+9)
So the given question becomes
{C+11/c+6} {(c+6)(c+11)/(c+11)(c+9)}
= c+11 /c+9
Answer: FALSE
Actually, the answer to this question depends on whether the clause is reversed or not.
Since we are not told whether the the clause is reversed or not. It is safe to assume that it was retained (i.e. not reversed). So the answer to this question is FALSE because if one takes a true "if-then" statement, inserted a 'not' in each clause, and retained the clauses, the new statement would NOT be true.
On the contrary, if the clause is reversed, the answer would be TRUE, because if one takes a true "if-then" statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.
Answer: 9 1/3
Step-by-step explanation: There are four of them and, assuming there is no space in between them, they all take up the same amount of space. So that means, if they were added up, it’d be 2 1/3 +2 1/3 + 2 1/3 +2 1/3. That can be simplified to 4 x (2 + 1/3). When multiplied, it equals 8 + 4/3=8 + 1 +1/3=9 + 1/3=9 1/3.
Answer:
1) ¼
2) yes
Step-by-step explanation:
1) P(A) = 13/52 = 1/4
P(B) = 4/52 = 1/13
P(A^B) = 1/52
P(A|B) = (1/52) ÷ (1/13) = 1/4
Since P(A|B) = P(A), they are independent
