The quotient of z and 3.
quotient = ÷
z/3
The answer is A.
Answer:
(-♾, 5) (5, ♾)
Step-by-step explanation:
Answer:
100 miles in 20 minutes.
Step-by-step explanation:
300/60 = x/20
x = 300/60 * 20
x = 100
Answer:
EF = 58/7
Step-by-step explanation:
If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:
BP/7 = (BP+7x)/10
10BP = 7*(BP+7x)
10BP = 7BP+49x
3BP = 49x
BP = (49/3)x
BP/7 = (BP+3x)/EF
EF = (BP+3x)*7/BP
EF = ((49/3)x + 3x)*7/((49/3)x)
EF = ((58/3)x*7*3)/(49x)
EF = 58/7
Answer:
Step-by-step explanation:
20% of 30 is 6 are randomly selected.
30 choose 6 = 30! / (30-6)! 6!
= 30! / 24!6!
= 30 * 29 * 28 * 27 * 26 * 25
--------------------------------- <-- 24! cancels
6 * 5 * 4 * 3 * 2 * 1
= 29 * 28 * 27 * 26 * 25
---------------------------------- <--- 30 = 6 * 5 cancels
4 * 3 * 2 * 1
= 29 * 7 * 9 * 13 * 25 <-- 4 cancels 28, 3 cancels 27, 2 cancels 26
= 593775
