Answer:
21 / 143
Step-by-step explanation:
Given that:
Number of Eastern conference reps = 8
Number of western conference rep = 7
Probability of selecting 3 from Eastern reps and 2 from western reps
Probability = required outcome / Total possible outcomes
Total possible outcomes:
selection to be made = 3+ 2 = 5
Total Number of players = 8 +7 = 15
Total possible outcomes
Using combination formula :
nCr = n! / (n-r)!r!
15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003
Total possible outcomes = 3003
Required outcome :
8C3 * 7C2
8C3 = 56 ; 7C2 = 21
8C3 * 7C2 = 56 * 21 = 1176
required outcome / Total possible outcomes
= 1176 / 3003
= 21 / 143
Answer:
Length = 15 cm, width = 12 cm, Perimeter = 54 cm
Step-by-step explanation:
The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².
Length = 5x
Breadth = 4x
Area of rectagle,
A = bl
180 = 5x × 4x
180 = 20x²
x² = 9
x = 3
Length = 5x = 5(3) = 15 cm
Width = 4x = 4(3) = 12 cm
Perimeter of rectangel,
P = 2(l+b)
= 2(15+12)
= 54 cm
Hence, this is the required solution.
Reflect across the y axis and moved through the translation x = 2
