Answer:
0.3333 = 33.33% probability that this red ball is from box A.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Red ball
Event B: From box A.
Probability of a red ball:
3/10 = 0.3 of 1/2 = 0.5(box A)
6/10 = 0.6 of 1/2 = 0.5(box B). So

Probability of a red ball from box A:
0.3 of 0.5, so:

What is the probability that this red ball is from box A?

0.3333 = 33.33% probability that this red ball is from box A.
Answer:
solution
5/8 ÷3/4
=5÷3=1.6666666667
=4÷8=2
=1<u>1</u>
<u> </u><u> </u><u> </u>2
You can start with the form
∆y(x -x1) -∆x(y -y1) = 0
Here, we have
∆y = 11-(-3) = 14
∆x = -3-1 = -4
and we can choose (x1, y1) = (1, -3). This gives
14(x -1) -(-4)(y -(-3)) = 0
14x +4y -2 = 0
All these terms have a common factor of 2 that we can remove. Adding 1 to the result puts it in standard form:
7x +2y = 1
The formula for finding the length is

All we have to do is plug in the numbers.

36 + 64 = 100
Since 100 =

we have to find the square root.

The length of the slide is 10 feet.