I am not for sure how to do this just yet when I figher it out I will try to help you.<span />

,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer:
100 in²
Step-by-step explanation:
Since the figures are similar
the linear ratio of sides = a : b , then
ratio of areas = a² : b²
ratio of sides = 15 : 21 = 5 : 7
ratio of areas = 5² : 7² = 25 : 49
let the area of the smaller figure be x then by proportion
=
( cross- multiply )
49x = 4900 ( divide both sides by 49 )
x = 100
Area of smaller figure is 100 in²
b= 63 and that is your answer
9514 1404 393
Answer:
36°
Step-by-step explanation:
The two halves of the bisected angle are congruent:
∠PQS = ∠RQS
3x = 2x +6
x = 6 . . . . . . . . . . subtract 2x
3x = 3(6) = 18 . . . . . half of angle PQR
∠PQR = 2(18°) = 36°