Answer:
Events D and C are mutually exclusive.
Step-by-step explanation:
Two events D and C are mutually exclusive if
Find these probabilities. In a standard deck of 52 playing cards there are 13 diamond cards and 13 club cards.
The probabilty of chosing diamond is
The probabilty of chosing club is
The probabilty of chosing diamond or club is
Since
events D and C are mutually exclusive.
To simplify into 1 fraction, remember, we must make the denominator the same
x/ (x-1 ) - 1/ (2-2x)
= -x/ -(1-x) - 1/(2-2x) [see the similarity now? ] [whatever we multiply for the denominator, as long as we multiply to the numerator, it will be ok]
= -2x / -(2-2x) + 1/-(2-2x)
= (-2x+1 )/ -(2-2x)
=(2x-1)/(2-2x)
Answer:the number of black tiles that Todd used is 27
Step-by-step explanation:
Let x represent the number of black tiles that Todd used.
Todd has 21 white tiles and some black tiles to make a mosaic. Each tile has an area of 3 square. It means that the total area of the white tiles is 21 × 3 = 63 cm^2
The total area of the white tiles is x × 3 = 3x cm^2
The mosaic has a total area of 144 Square centimeters. It means that
3x + 63 = 144
3x = 144 - 63 = 81
x = 81/3 = 27
if you multiply 10.4x5x8 it equals 416 millimeters
