Answer:
Option: C is the correct answer.
C. Buying a needle and buying thread are dependent events.
Step-by-step explanation:
let A denotes the events of buying a thread.
and B denote the event of buying a needle.
Then A∩B denote the event of buying a needle and a thread.
Also let P denote the probability of an event.
i.e. we are given:
P(A)=0.15
Also P(B|A)=0.25
As we know that:
As we know that when two events A and B are independent then,
P(A∩B)=∅
otherwise they are dependent events.
Hence, option: C is the correct answer.
Answer:
Step-by-step explanation:
Let:
This is an exact differential equation because:
With this in mind let's define f(x,y) such that:
and
So, the solution will be given by f(x,y)=C1, C1=arbitrary constant
Now, integrate 
with respect to x in order to find f(x,y)
where g(y) is an arbitrary function of y
Let's differentiate f(x,y) with respect to y in order to find g(y):
Now, let's replace the previous result into :
Solving for 
Integrating both sides with respect to y:
Replacing this result into f(x,y)
Finally the solution is f(x,y)=C1 :
Let s denote the number of pages in each issue of the sports magazine.
Let t denote the number of pages in each issue of the technology magazine.
Given that a sports magazine prints 12 issues per year and a technology magazine prints 10 issues per year.The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year.
This can be written in equation as,
Since, it is given that, "Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine".
This can be written in equation as,
Thus, the set of equations that represent the given data is
and
Hence, Option A is the correct answer.
Answer:
6.813·10^7
Step-by-step explanation:
Multiplying 0.0000006813 by 10^7 will move the decimal point 7 places to the right, resulting in 6.813.
Conversely, multiplying 6.813 will move the decimal point 7 places to the left, producing the original decimal fraction.
Therefore,
0.0000006813 = 6.813·10^7
You would do parentheses first and that answer you will x 7
