We're told that



a. We want to find
. By definition of conditional probability,

By the law of total probability,

Then

(the first equality is Bayes' theorem)
b. We want to find
.

since
.
Answer:
1. c.
2. a.
3. b.
Step-by-step explanation:
Remember f(x) = y
1. f(x) = y = 2/5x+8
2. f(x)= y - 8 = x => y = 8 +x
3. f(x) = y = x - 8
Step 2: 8y-5=10+3y is wrong
And the second step is right
9514 1404 393
Answer:
sin(θ) ≈ -0.92
cos(θ) ≈ 0.38
tan(θ) = -2.40
Step-by-step explanation:
Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...
r² = (5)² + (-12)²
r² = 169
r = √169 = 13
The trig relations for a point on the terminal ray are ...
(x, y) = (r·cos(θ), r·sin(θ))
Then ...
sin(θ) = y/r = -12/13 ≈ -0.92
cos(θ) = x/r = 5/13 ≈ 0.38
tan(θ) = y/x = -12/5 = -2.40
Answer:
lost = 9 games
and
won = 9 + 7 = 16 games
Step-by-step explanation:
Given that:
Total games played = 25
According to given condition:
lost = x
won = 7 + x ----------- eq1
x + x + 7 = 25
2x = 25 - 7
2x = 18
x = 9
So they lost = 9 games
and won = 9 + 7 = 16 games
i hope it will help you!