An experiment was conducted to determine the effect of practice time (in seconds) on the percent of unfamiliar words a person could recall. The scatter plot of Percent recalled versus Practice time was strongly curved, but the scatter plot of the natural logarithm of Percent recalled versus the natural logarithm of Practice time was roughly linear. Below is a regression analysis of ln (Percent recalled) vs. ln (Practice time). Predictor Coef SE Coef T P
Constant 1.512 0.01856 81.459 0.000
Practice Time 0.282 0.01878 15.033 0.000
S = 0.0250 R-S - 97.88 R-Sq(adj) = 97.48
Which of the following is the correct regression equation from this analysis?
(a) Percent recalled =1.512 +0.282(Practice time).
(b) Percent recalled =1.512 +0.282 In (Practice time).
(c) In(Practice time) =1.512 +0.282(Percent recalled).
(d) In(Percent recalled)=1.512 +0.282 (Practice time).
(e) In(Percent recalled)=1.512 +0.282 In (Practice time).

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

96 39 cause 135 -96=39 im smart (i used a calculater)