Answer:
Option C
Step-by-step explanation:
Given
Total length of ribbon lucy has=4 inches
She wants to divide it into 6 equal sized pieces so
Length of each piece=4/6
This can also be written as:
Length of each piece=4*(1/6
)
Now we will look at the options one by one:
For A, Each piece has 6/4 inches of ribbon.. This statement is not true as we have to divide 4 inches into 6 pieces so 4 is supposed to be in the numerator.
For B, breaking down 4/6 gives us 4*(1/6), so the statement is not true.
For C , as we can see that the expression is 4*(1/6), each piece will have 1/6 of inches of ribbon.
So option C is the correct answer..
Answer:

Step-by-step explanation:

Simplified becomes;

Simplifying further gives; 
I think the answer is A.
It's probably wanting you to use pythagorean theorem.
Part A:
We see that this pair of equations has 1 solution. On a graph, the solutions of 2 (or more) lines is where the lines intersect. In this case, since these lines intersect 1 time, they have 1 solution.
Part B:
As previously mentioned, the solutions of multiple lines is where the lines intersect. In this case, since they intersect at (4,4), that is the solution.
The chance of student 1's birthday being individual is 365/365 or 100%.
Then the chance of student 2's birthday being different is 364/365.
Then it's narrowed down to 363/365 for student 3 and so on until you get all 10 students.
If you multiply all these values together, the probability would come out at around 0.88305182223 or 0.88.
To get all the same birthday you'd have to the chance of one birthday, 1/365 and multiply this by itself 10 times. This will produce a very tiny number. In standard form this would be 2.3827x10'-26 or in normal terms: 0.23827109210000000000000000, so very small.