What type of correlation/association exists? The number of hours you sleep in and the number of hours you are awake during the day

Negative Correlation

Step-by-step explanation:

there is a negative correlation between the number of hours you sleep in and the number of hours you are awake during the day as the longer you are either awake or asleep the less time you will be doing the other thing

Here is a graph I made that will hopefully help you understand.

Even if I switched around the label for the x or y-axis, the correlation would still remain the same because the more you stay asleep, the less you will be awake and vice versa.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11