Answer:
Step-by-step explanation:
1)8/12=12/18
2)12/20=18/30
3)4/16=6/24
Answer:
A
Step-by-step explanation:
Joint variation is given by:
Where k is some constant.
We are given that y = 360 when x = 4 and z = 10. Therefore:
Solving for k:
Therefore, our equation is:
Then when x = 5 and z = 12:
The answer is A.
The first two are equivalent to 15 = k + 13
8 = k + 13 - 7 → ( add 7 to both sides )
8 + 7 = k + 13 ⇒ 15 = k + 13 ' is equivalent '
12 = k + 13 - 3 → ( add 3 to both sides )
12 + 3 = k + 13 ' is equivalent '
Let's use the furthest left point on the triangle to figure out the translation.
Blue triangle = (-5,1)
Black triangle = (-3,-1)
To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.
To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.
Rule: {2, -2}
Hope this helps!
Answer:
Prob = 0.00009 = 0.009% , Less Likely
Step-by-step explanation:
Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r) .
,P = success probability, ie candidate considered be trustworthy = 70% = 0.7; N = trials = 200 ; Q = failure probability, ie non trustworthy = 1 - 0.7 = 0.3 r = no. of success = 116
Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%
Less probability means Less Likely
