A1 or just a as it is in the equations is just the initial term of the sequence. In this case a1=1
r is the common ratio which is that constant ratio found by dividing any term by the term preceding it...
In this case r=3/1=9/3=27/9=etc=3
So a1=1 and r=3, C. is your answer.
Answer:
b = 13
Step-by-step explanation:
Divide 143 by 11
Answer:
x = 30
Step-by-step explanation:
Plug in 56 in place of y, then solve for x.
56 = 1.5x + 11
Subtract 11.
45 = 1.5x
Divide both sides by 1.5.
45/1.5 = x
30 = x
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.