Answer:
5 should be subtracted from each term
Step-by-step explanation:
Cross multiply,
1 * (11 - x) = 2*(8-x)
11 -x = 2*8 - 2*x
11 - x = 16 - 2x
Subtract 11 from both sides,
-x = 16 - 2x - 11
-x = 5 - 2x
Add 2x to both sides
-x +2x = 5 - 2 + 2x
x = 5
Answer:
0.3667
0.2727
Step-by-step explanation:
a)
P (Blue) = P (large and Blue) + P (mid and Blue) + P (small and Blue)
P (Blue) = (0.5 * 0.2) + (0.4*7 / 12) + (0.1* 1 / 3)
P (Blue) = 0.3667
b)
Conditional Probability:
P (Large / Blue ) = P (large and Blue) / P ( Blue)
P (Large / Blue ) = 0.5*0.2 / 0.36667
P (Large / Blue ) = 0.2727
In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
Answer:
15
Step-by-step explanation:
12 x 0.25= 3
12+3=15
Answer:
-12
Step-by-step explanation:
The coordinates of B' are just 3 times the coordinates of B, so the multiplier in the dilation is 3.
C' is the point with coordinates 3 times the coordinates of C, making C'(3, -12).
The y-coordinate is -12.