RT equals RS plus ST
8x - 43 = 2x - 4 + 4x - 1
Simplify: 8x - 43 = 6x - 5
Bring variables to one side: 8x - 6x = -5 + 43
2x = 38
Divide both sides by 2:
x = 19
Calculate QS as twice RS:
QS = 2 * RS = 2 * (2x - 4) = 2 * (2*19 - 4) = 2 * 34 = 68
Solution:
Given that
G being the midpoint of FH implies
Additionally, we have
Hence, we can express
Therefore, 
The yearly sales total for mattresses equals 1,330.
The percentage of King size mattresses sold is 30% = 30/100 = 0.3
Now, we need to find the actual sales number using the following formula:
King size mattresses sold = Total mattresses sold in a year * Percentage of King size mattresses sold
King size mattresses sold = 1,330 * 0.3 = 399
King size mattresses sold = 399
Nearest hundred thousand: 100,000
Nearest ten thousand: 130,000
Nearest thousand: 127,000
The amount that is closest to the actual attendance is 127,000 when rounded to the nearest thousand.
Answer:
A correlation coefficient of +1 or -1 reflects a perfect linear relationship, but a 0.94 indicates a strong positive correlation between the aspen leaf's length and surface area, though not guaranteeing linearity.
Step-by-step explanation:
The correlation coefficient (r) ranges between +1 and −1, where +1 means perfect positive correlation, −1 means perfect negative correlation, and 0 means no correlation.
The closer r is to ±1, the stronger the correlation. Generally, values between 0.7 and 1, or −0.7 and −1, indicate a significant correlation.
While 0.94 shows a strong direct association between the leaf's length and surface area, it does not definitively prove a linear relationship is the best fit.
