Leslie's mistake lies in using a dilation, which either scales an object down or up. This transformation cannot be applied because congruent segments must maintain equal length; only rigid transformations like translations, reflections, and rotations are permissible. Thus, dilation is not considered a rigid transformation.
Response:
55 mph. All options are incorrect.
Detailed explanation:
When speed changes inversely with the time taken, it can be expressed as v ∝ 1/t, where:
v represents speed,
t refers to the time taken.
This leads to;
v = k/t, with k being a constant of proportionality.
Given that Kris takes 5 hours traveling at 55 mph, we replace v with 55 mph and t with 5 hours in the equation to find k as follows:
55 = k/5
Cross-multiplying yields:
k = 55 * 5
k = 275
To determine the speed Martin needs to drive for 5 hours, we substitute k = 275 and t = 5 back into the original equation v = k/t as follows:
v = 275/5
v = 55 mph
Thus, we conclude that in order to travel for 5 hours, Martin must also drive at 55 mph.
(a) x= 0,1,2..........10 (b) p=0.02 (c) standard deviation = 0.44 (d) p=0.18. A comprehensive explanation of the answer is available in the attached file.
