Answer:
the answer is in the picture below
Step-by-step explanation:
We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:
Now, we create another column with the product of "x" and "y". Like this:
Now, we will add another column with the squares of the values of "x". Like this:
Now, we add another column with the squares of the values of "y":
Now, we sum the values on each of the columns:
Now, to get the correlation factor we use the following formula:

Where:

Now we substitute the values, we get:

Solving the operations:

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.
To convert any unit to it's "milli-" form always multiply the given value by 1000. The new value will be the value of in the "milli-" form.
The question asked to us is to convert 3.521 g to mg (or milligram). Thus, all that we need to do is to multiply 3.521 with 1000 and we will get the corresponding value in milligrams. Thus, in mg, 3.521 g is:
mg
Answer:
see explanation
Step-by-step explanation:
For the triangles to be congruent.
The hypotenuse and a leg of the triangle on the left and the hypotenuse and a leg of the triangle on the right must be congruent, thus
4y = x + 4 → (1)
x = y + 8 → (2)
Substitute x = y + 8 into (1)
4y = y + 8 + 4 = y + 12 ( subtract y from both sides )
3y = 12 ( divide both sides by 3 ) )
y = 4
Substitute y = 4 into (2)
x = 4 + 8 = 12
Thus
x = 12 and y = 4