Answer:
The Probability that Event A and Event D occur is equal to the probability Event A occurs times the probability that Event D occurs, given that A has occurred.
We can find the values of and
using the above form formula.
;
From the given table, we have the values of P(A), P(D), and
.
Since, Probability=
∴,
,
and
Now, putting these values in above formula we get,
.
As, you can see above that the values of P(A|D) and P(D|A) are not equal.
Answer:
The least possible number of coins the Pirate has = 81
Step-by-step explanation:
Given:
Pirate Jack has equal number of gold and silver coins.
When the pirate splits the coins into 7 equal piles he has 4 coins left.
When the pirate splits the coins into 11 equal piles he has 4 coins left.
Every pile has at least 1 coin.
To find the least possible number of coins Pirate Jack has.
Solution:
In order to find the least possible number of coins pirate Jack has, we must find the least common multiple of the number of piles the coins are split into.
So, the least common multiple of 7 and 11 can be found by listing the multiples.
So, we find the least common multiple of 7 and 11 is 77.
Number of coins left = 4
Total number of coins the pirate must have =
We can check the answer by dividing 81 by 7 and 11. I both cases we get remainder = 4.
So, the least possible number of coins the pirate has = 81
Answer: 18.75 lb.ft
Step-by-step explanation:
Given
Force required to stretch spring 8 in. is 18 lb
it can be written
Work done in stretching from its natural length to 10 in.