Answer:
a) P(X∩Y) = 0.2
b)
= 0.16
c) P = 0.47
Step-by-step explanation:
Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.
So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67
Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:
P(X∩Y) = P(X) + P(Y) - P(X∪Y)
P(X∩Y) = 0.36 + 0.51 - 0.67
P(X∩Y) = 0.2
On the other hand, the probability
that he must stop at the first signal but not at the second one can be calculated as:
= P(X) - P(X∩Y)
= 0.36 - 0.2 = 0.16
At the same way, the probability
that he must stop at the second signal but not at the first one can be calculated as:
= P(Y) - P(X∩Y)
= 0.51 - 0.2 = 0.31
So, the probability that he must stop at exactly one signal is:

Answer:
The original number was 54.5.
Step-by-step explanation:
If a number is increased by 2.8%, then it is 102.8% of it's original number.
In mathematics, "of" in virtually all cases means "multiplied by".
Therefore, we do the opposite:
1. Convert to a decimal.
102.8% = 1.028
2. Divide by the decimal.

3. Round it to the nearest tenth.
54.47 rounds to 54.5.
Answer:
The first one shows 25%
In the 1st modal, a whole is divided into 4 and 1 of the 4 is selected or highlighted
And as the whole rectangle is 100% and being divided into four its becomes 100/4% and when we solve we get 100/4=25
And thus its the first modal that shows 25%
In the second case its divide into 3 boxes so.. 100/3% and when we solve we get 33.3333333.......and this is not what we want
THEREFORE, THE CORRECT ANSWER IS 1ST MODAL
Answer : D. 6,24,51,72,105
Answer:
dont take my stuff down
Step-by-step explanation:
ruuuuuuuuude