Answer:
1. 2/25
2. 4/15
Step-by-step explanation:
1. P(Y∩X)
Since P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.
So P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25
2. P(Y)· P(X)
P(Y)· P(X) = 2/3 × 2/5 = 4/15

First, turn
into an improper fraction with a denominator of 4, which matches
.

Now, just add the numerators.

Answer:
-2/5
Step-by-step explanation:

Expand parentheses:

Hope this helps!
Answer:
64π inches² (approximately 201.06 inches²)
Step-by-step explanation:
where
is the radius
To find the radius, divide the diameter by 2
16 ÷ 2 = 8 inches
Plug in 8 as the radius

(approximately)
Therefore, the area of the circle is 64π inches², or approximately 201.06 inches².
I hope this helps!
Answer:
So, gradient is 2.
Step-by-step explanation:
Here Let's take points (3,4) and (4,6)
so
gradient(m) = (y2-y1)/(x2-x1)
= (6-4)/(4-3)
= 2/1