Answer:
5/6+15%
Step-by-step explanation:
Answer:
Smaller=18 degrees; larger= 162 degrees
Step-by-step explanation:
ok so first supplementary angles mean that the two angles added together will equal 180 degrees.
so 1x + 9x = 180 (combine like terms)
10x=180 (divide each side by 10)
x=18
so the smaller angle is 18 because its only 1x, and the larger angle is 162 because 18x9=162
check: 18 + 162 = 180
Answer:
Solution (20,40)
20 large snack packs and 40 small snack packs were sold
Step-by-step explanation:
x+y=60
5x+3y=220
x+y=60
x=60-y
5(60-y)+3y=220
-2y=-80
y=40
x+y=60
x+40=60
x=20
Hope this helps
3 1/4 = 13/4
1 2/4 = 6/4
So 13/4 - 6/4 = 7/4
7/4 = 1 3/4
Answer: a) 0.15
b) 0.300
Step-by-step explanation:
Given : The probability that John watches a certain television show : P(John)=0.5
The probability that Jane watches the show is : P(Jane)= 0.5.
The probability that John watches the show, given that Jane does
=P(John | Jane)=0 .3.
Using Condition probability formula
, we have
![P(A\cap B)=P(B|A)\timesP(A)](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3DP%28B%7CA%29%5CtimesP%28A%29)
Similarly,
a) The probability that both John and Jane watch the show will be :-
![\text{P(John}\cap \text{Jane)}=\text{P(John }|\text{ Jane)}\times\text{P(Jane)}\\\\=0.3\times0.5=0.15](https://tex.z-dn.net/?f=%5Ctext%7BP%28John%7D%5Ccap%20%5Ctext%7BJane%29%7D%3D%5Ctext%7BP%28John%20%7D%7C%5Ctext%7B%20Jane%29%7D%5Ctimes%5Ctext%7BP%28Jane%29%7D%5C%5C%5C%5C%3D0.3%5Ctimes0.5%3D0.15)
b) The probability that Jane watches the show, given that John does will be :-
![\text{P(John }|\text{ Jane)}=\dfrac{\text{P(John}\cap \text{Jane)}}{\text{P(John)}}\\\\=\dfrac{0.15}{0.5}=0.3](https://tex.z-dn.net/?f=%5Ctext%7BP%28John%20%7D%7C%5Ctext%7B%20Jane%29%7D%3D%5Cdfrac%7B%5Ctext%7BP%28John%7D%5Ccap%20%5Ctext%7BJane%29%7D%7D%7B%5Ctext%7BP%28John%29%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B0.15%7D%7B0.5%7D%3D0.3)
Hence, the probability that Jane watches the show, given that John does. = 0.300