Answer:
D) 11x + 9
Step-by-step explanation:
3(2x + 5) - (-5x + 4) = (6x + 15) - (-5x + 4) = 6x + 15 + 5x - 4
add like terms:
(6x + 5x) + (15 - 4) = 11x + 9
A perpendicular bisector
this means the length IJ=JK and the angles IJB, BJK are 90° (and their congruent angles too)
but this does not mean AB=IK, because their lengths can be arbitrary
for a similar reason AJ=IJ is wrong, essentially the same statement but with half lengths
BI=BK is true, because it is a bisector of IK this means the sides IJ=JK and JB is a shared side, therefore also having the same length. We also know IJB and BJK are congruent angles, so all in all these are congruent triangle and therefore also share the side length
BI=AK is false, because we don't know where the intersection point j is on AB, it could split the length into any arbitrary ratio, in case these are two equal sides then it would be true, but it doesn't hold for all other possibilities
so BI=BK is the solution
What I gather from the question is that
has second moment
and variance
, and you're asked to find the expectation and variance of the random variable
.
From the given second moment and variance, we find the expectation of
:

Expectation is linear, so

Using the same variance identity, we have

and

so that

Alternatively, we can use the identity

Kut 32% off 25
100-32=68% left
=25*0.68
=17
Answer:
260x = 170
x=170/260 * 100% = 65.4 %
Step-by-step explanation: