Answer:
Step-by-step explanation:
we know that
The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.
we have
15,18 and 25
Decompose the numbers in prime factors
Multiply common and uncommon numbers with their greatest exponent
so
The LCM is equal to
B is true; pi= ~3.14. 3+4 is equal to 7, so because pi is greater than 3, pi+4>7
Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then
P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station
<u>Answer:</u>
1.95 cubic feet
<u>Step-by-step explanation:</u>
We are given that Emily stores her jewelry in a cube and the cube has a side length of 
feet.
feet in an decimal form is 1.25 feet.
We know that,
<em>volume of a cube = s
</em>
where <em>s</em> is the side length of the cube.
So substituting this value of side length of cube in the formula to get:
Volume of cube = 
= 1.95 feet
