Answer:
Volume = 11680.44 cubic inches
Step-by-step explanation:
Circumference of the trunk of a tree = 2πr
Here, r = radius of the trunk
26π = 2πr
r = 13 inch
Since, volume of the cylindrical trunk = πr²h
= π(13)²(22)
= 3718π
= 11680.44 cubic inches
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Answer:
Step-by-step explanation:
P = 2l + 2w
= 2(12) + 2(18)
= 24 + 36 = 60
Answer:
It is an example of an empirical probability.
Step-by-step explanation:
The empirical probability, also called experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
Theoretical probability is probability that is determined on the basis of reasoning.
It is evident that the probability in the question was arrived at after the outcome of 14 days of whether Jerry Gergich spilled his lunch on himself or not.
It's an actual result of an experiment, hence the 12/14 = 0.86 = 86% that he spills his lunch on himself tomorrow.
Hope this Helps!!!
Answer:
A) y = 3(x -3)^2 -46
B) (3, -46)
C) look at the y-coordinate of the vertex
Step-by-step explanation:
A) Factor the leading coefficient from the variable terms.
y = 3(x^2 -6x) -19
Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.
y = 3(x^2 -6x +9) -19 -3(9)
y = 3(x -3)^2 -46
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B) Compared to the vertex form, ...
y = a(x -h)^2 +k
we find a=3, (h, k) = (3, -46).
The vertex is (3, -46).
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C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.
If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.
