The motion can be modeled as
where
x = the position below the equilibrium position
T = the period of the motion
t = time
The weight returns to its equilibrium position when x = 0.
This occurs when
That is,
Because the weight returns to the equilibrium position when t = 3 s, therefore
T = 12 s
The motion is
When t = 1 s, the position of the weight from equilibrium is
Answer:
Dilation is either : enlargement or shirking.
Simply you multiply the ordered pair times the dilation vector (Origin-Centered)
D.F = dilation factor;
d.f = 5
C' = d.fC
when you multiply a constant times an ordered pair , it multiples into each of the pair.
C' = 5 ( -5 , 1 ) = ( -25, 5 )
In case you were asked for A' , B' (test yourself before checking)
A' = 5 (-4,3) = ( -20 , 15)
B' = 5 ( 2, 3 ) = ( 10, 15)
Dividing the dilated by the original pair results in the dilation factor
A'/A = (-20/15)/(-4,3) = 5(-4,3)/(-4,3) = 5
The right answer for the question that is being asked and shown above is that: "D.) There is likely an association between the categorical variables because the relative frequencies are both close to 0.50." Given that a relative frequencies of 0.48 and 0.52, there will be an association between the categorical variables.<span>
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Answer:
5/36
Step-by-step explanation:
Probability is the outcome that a event will occur
Probability = Expected outcome/Total outcome
Since two sided dice are rolled, the total outcome will be expressed as;
Total outcome = 36
Since we are to find the probability that the sum is 8, the values that gives a sum of 8a re;
(2,6)(6,2), (5, 3), (3,5), (4, 4)
The expected outcome = 5
Probability = 5/36
Hence the probability that the sum is 8 is 5/36
