Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
Answer:
<u>A) Matched pairs design</u>
<u>Step-by-step explanation:</u>
In<em> </em><em>experimental design</em>, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.
Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.
Answer:
Experimental probability = 9 / 100
Theoretical probability = 1/7
Step-by-step explanation:
The experimental probability of an event is written as :
P = number of times event occur / total number of trials
Experimental probability is based on the outcome of an experiment that has taken place.
Theoretical probability is based on expected outcome of an event.
P = number of expected or required outcomes / total possible outcomes
Experimental probability of choosing the name Michael is :
Number of times Michael is chosen / number of trials
Experimental probability = 9 / 100 = 0.09
Theoretical probability of choosing michael:
Number of names in hat = 7
Number of names called Michael in hat = required outcome = 1
P = 1 / 7
If the number of names in hat was different from 7, then the theoretical probability will change.
Also, if the number of times a name was chosen was different from 100, then number of trials will also change and hence, the experimental probability.
