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Answer:
(2, 12)
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by
where k =3 represent the number of groups.
The degrees of freedom for the denominator on this case is given by
.
And the total degrees of freedom would be
And the correct answer would be 2 degrees of freedom for the numerator and 12 for the denominator
(2, 12)
Let x be the height of the box and y be the length of one side of the base then:-
V = xy^2 = 108
x = 108/y^2
Surface area = y^2 + 4xy
S = y^2 + 4y* 108/y^2
S = y^2 + 432/y
Finding the derivative:-
dS/dy = 2y - 432/y^2 = 0
2y^3 = 432
y^3 = 216
y = 6
Check if this gives a minimum value:-
second derivative = 2 + 864/y^3 which is positive so minimum.
V = xy^2 = 108
36y = 108
y = 3
Answer :- dimensions of the box is 3*6*6 metres
Answer:
500
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Experimental probability is based on the result of an experiment that has been carried out multiples times
probability of landing on the orange section = proportion of the orange section / total proportions of all the colours
= 1/3