8/11 is the answer
I use this trick: When tryig to find repeating numbers divide by 11 or 9
When dividing by 9 the numerator will be the first number in the decimal
When dividing by 11 the numerator will be one more than the first number in the decimal
Answer:
the last side is 30 inches
Step-by-step explanation:
Answer:
P (A ║ B) = 1.98 %
Step-by-step explanation:
Bayes´ Theorem express
P (A ║ B) = P(A) * P( B ║ A) / P(B)
Now we identify
Event A person infected with a virus. Probability of being infected by a virus is P/A) 0.001
Event B the test was positive. Probability of test positive P(B) = 0,05
Probability of P ( B║ A) is the porbability of test positive given that is infected = 0.99
Then by subtitution in a general equation of the theorem we have
P (A ║ B) = 0.001*0.99/ 0.05
P (A ║ B) = 0.0198 P (A ║ B) = 1.98 %
Ur gonna have to pick an equation and solve for a variable.
2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3
now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
-42 -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3
now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6
solution is (6,3)
it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)
so yes, ur solution is (6,3)
Answer:
see explanation
Step-by-step explanation:
given that V is directly proportional to u and inversely proportional to f , then the equation relating them is
V = 
← k is the constant of proportion
(a)
to find k use the condition when u = 1 and f = 3 , V = 
, then
= 
( cross- multiply )
6k = 3 ( divide both sides by 6 )
k = 
= 
V = 
← equation of proportion
(b)
when f = 4 and V = 1 
= 
, then
= 
= 
( cross- multiply )
4u = 40 ( divide both sides by 4 )
u = 10
