19 minutes ..
Divides 45.85 by 15 you will get 3 same for the other cost- the divide 3 by 55.81 and you get 19
Answer:
y = 3x + 15
Step-by-step explanation:
1. Find the reciprocal of the slope and change signs: -3
2. y = 3x + b
3. Plug in x and y --> b = 15
4. Make your equation using y = mx + b: y = 3x + 15
We're told that



where the last fact is due to the law of total probability:



so that
and
are complementary.
By definition of conditional probability, we have



We make use of the addition rule and complementary probabilities to rewrite this as


![\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)](https://tex.z-dn.net/?f=%5Cimplies%20P%28B%29-%5B1-P%28A%5Ccup%20B%29%5EC%5D%3D%5B1-P%28B%29%5D-P%28A%5Ccup%20B%5EC%29)
![\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]](https://tex.z-dn.net/?f=%5Cimplies2P%28B%29%3D2-%5BP%28A%5Ccup%20B%29%5EC%2BP%28A%5Ccup%20B%5EC%29%5D)
![\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]](https://tex.z-dn.net/?f=%5Cimplies2P%28B%29%3D%5B1-P%28A%5Ccup%20B%29%5EC%5D%2B%5B1-P%28A%5Ccup%20B%5EC%29%5D)


By the law of total probability,


and substituting this into
gives
![2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]](https://tex.z-dn.net/?f=2P%28B%29%3DP%28A%5Ccup%20B%29%2B%5BP%28B%29-P%28A%5Ccap%20B%29%5D)


Step-by-step explanation:
Area of shaded =Area of Outer rectangle - Area of Inner rectangle.
Area of inner rectangle = L× B.
L=18
B=11
Area of inner rectangle = 18×11
=198m^2
To find the full breadth of the outer rectangle
=2 in +11 + 2 in
=15
To find the full length of the outer rectangle
=2 in + 18 + 2 in
=22
Area= 22 × 15
Area = 330m^2
Area of shaded portion = 330 - 198
=132m^2
Answer:
78 degrees
Step-by-step explanation:
All inner angles of a triangle make a sum of 180 degrees. Given 41 and 61 add up to 102, that leaves 78 degrees left to make 180