Answer:
5 and 15
Step-by-step explanation:
LCM of 156 and 168 is
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM
LCM = 2×2×2×3×7×13
LCM = 2184
Set up the two events
A = first card is a 9
B = second card is a 9
The probability for event A is
P(A) = 4/52
because there are four "9" cards out of 52 total
If event A happens first, and B follows, then the probability is
P(B|A) = 3/51
because there are 3 nines left over out of 52-1 = 51 total left over
No replacement has been made
The notation P(B|A) means "probability of event B given that event A has happened"
Multiply the probabilities
P(A and B) = P(A)*P(B|A)
P(A and B) = (4/52)*(3/51)
P(A and B) = (4*3)/(52*51)
P(A and B) = 12/2652
P(A and B) = 1/221
P(A and B) = 0.00452488687782
Rounded to 4 decimal places, the approximate answer is 0.0045
The exact answer as a fraction is 1/221
Step-by-step explanation:
(12)(2) = 24 Find 2 numbers whose product is 24 and whose sum is 11 (8 and 3 work)
Rewrite 11x as 8x+3x and factor by grouping:
12x2 + 8x + 3x + 2 = 0
4x(3x+2) + 1(3x+2) = 0
(3x+2)(4x+1) = 0
x = -2/3 or x = -1/4
36/8=4.5 which is how many millimeters there are in a meter. So 6 meters *4.5 would be 27 millimeters. The length of the blue print is 27 millimeters