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.
The answer is d x 15 =100
In order to get the value of d, you must transpose the constant 15 to the left side of the equation.
It can also be written like this:
15d = 100
Divide both sides by 15:
15d / 15 =100/15
d = 6.667 meters per second
Answer:
19
Step-by-step explanation:
12-n/7 = -1
Cross multiply
We have 12-n = -7
Collect like terms
12 + 7 = n
Therefore n = 19
Answer:
Exact Form:
√5 + 5√2
__________
5
Decimal Form:
1.86142715
…
Step-by-step explanation:
N/A
Answer: $222.73
===========================================
Work Shown:
x = pre-GST price
10% of x = 0.10x = tax amount
x + 0.10x = 1.10x = post-GST price = 245
1.10x = 245
x = 245/1.10
x = 222.7272 approximately
x = 222.73 is the price before tax.
------------
Check:
10% of 222.73 = 0.10*222.73 = 22.273 = 22.27
The tax amount ($22.27) is added to the pre-GST price to get
22.27+222.73 = 245
which matches the post-GST price mentioned.
The answer is confirmed.
Or another way to confirm the answer is to calculate this
1.10*222.73 = 245.003 = 245