Answer:
121
Step-by-step explanation:
If the original volumes of liquid is represented by x, we have x=x for A and B. Since 120mL is poured from A to B, A loses 120 mL (x-120) and B gains 120 mL (x+120). Since we know that B contains 4 times as much liquid as A is now (x-120), we have 4*(x-120)=(x+120)=B. Using the distributive property, we get 4x-480=x+120. Adding 480 to both sides, we get 4x=x+600. After that, we can subtract both sides by x to get 3x=600. Lastly, we can divide both sides by 3 to get x=200=the original amount of liquid. Since A=x-120, we get A=200-120=80
Answer:
a) See attachment 1.
b) t² and D
c) See attachment 2.
d) g = 9.8 m/s² (1 d.p.)
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
See attachment 1. The line of best fit is shown in red.
<h3><u>Part (b)</u></h3>
The quantities the student should graph in order to produce a <u>linear relationship</u> between the two quantities are t² and D.
<h3><u>Part (c)</u></h3>
Make a table of values of t² and D:

<u>Plot</u> a graph of D against t² and draw a line of best fit (see attachment 2).
<h3><u>Part (d)</u></h3>
From inspection of the graph, the line of best fit passes through the origin (0, 0) and (0.1024, 5.0). Therefore, use these two points to find the slope of the line:

Therefore:



Answer:
a) we have the numbers 0, 2, 3, 5, 5. The mean and the median are both 3
b) we have the numbers 0, 0, 3, 5, 7. The mean and the median are both 3
In both cases the mean and the median are 3, but the mode differs. The mean and the median do not uniquely determine the mode.
Step-by-step explanation: