Answer:
slope of AB = 2
slope CD = 2
Step-by-step explanation:
the equation of a line is y = ax+ b where a is the slope, b is the y-intercept
let us take yB - yA
→ yB - yA = axB <u>+ b</u> - axA <u>- b</u>
→ yB - yA = a(xB - xA)
→ a = (yB - yA) / (xB = xA) = (6 - 2) / (-5 - (-7)) = 2
same goes for line CD
Answer:
(a) 3, 5 and 6
Step-by-step explanation:
In the experiment, 43 are to be given a gel that contains the tooth-whitening chemicals while the remaining 42 are to be given a placebo. Therefore, a placebo is used.
The 43 that will receive the gel are to be selected randomly.
After the experiment, the whiteness of the two groups will be compared to see the effect of the gel.
Therefore for the experiment to be completely random, 3, 5, and 6 apply.
(b)
For the experiment to be double-blind, the researchers who will evaluate the whiteness and interact with the subjects, and the subjects would not know which subjects received either the whitening gel or the placebo.
Answer:
108 ft²
Step-by-step explanation:
Increasing by 50% means multiplying the original quantities by 1.5, that is
100% + 50% = 150% = 1.5 ( 100% is the original dimensions ), thus
new length = 1.5 × 8 ft = 12 ft
new width = 1.5 × 6 ft = 9 ft
Thus
Area = length × width = 12 × 9 = 108 ft²
