We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α =
cos β =
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
Answer:
100 Miles
Step-by-step explanation:
Let it be for x miles.
40+15+0.25x=45+0.35x
10 =0.1x
x=100
The mile is 45+0.35*100= 80 or 40+15+0.25*100 =80
<em>Have a great Day!</em>
Answer:
(x, y) = (8, 6)
Step-by-step explanation:
given the 2 equations
2x - y = 10 → (1)
2x - 2y = 4 → (2)
rearrange equation (1) expressing y in terms of x
y = 2x - 10 → (3)
Substitute y = 2x - 10 in equation (2)
2x - 2(2x - 10) = 4
2x - 4x + 20 = 4
- 2x + 20 = 4 ( subtract 20 from both sides )
- 2x = - 16 ( divide both sides by - 2 )
x = 8
substitute x = 8 in equation (3)
y = (2 × 8) - 10 = 16 - 10 = 6
solution is (8 , 6)
Answer:
blue one (c), not independent because P(A|B) ≠ P(A)
Step-by-step explanation:
Two events are independent of each other if you can mulitply them to get their intersection
To find the conditonal probability of two independent events you can use the following idea/formula
P(A|B)= (P(A)*P(B))/P(B) which simplifies to P(A) (so the probability of A given B when A and B are independent of each other is just the probability of A)
Now with the numbers we're given let's find P(A|B)
.24/.9= .26666666666667
Because this is not equal to .3 (or P(A)) the answer must be the blue one
