Option: A is the correct answer.
A. The degree is odd and the leading coefficient is positive.
Clearly from the graph of the polynomial function we see that both the ends of the graph are in the opposite directions.
This means that the degree of the polynomial is odd.
( Since in even degree polynomial both the ends are in the same direction )
Also, the leading coefficient of the polynomial is positive.
Since, when a leading coefficient of a odd degree polynomial let p(x) is positive then it satisfies the following property:
when x → -∞ p(x) → -∞
and when x → ∞ p(x) → ∞
The degree is odd and the leading coefficient is positive.
2,5, 6, 8, 14
Answer:
4.
Step-by-step explanation:
First work out the mean:
Mean = (2 + 5 + 6 + 8 + 14) / 5
= 35/5 = 7.
Now subtract the mean form each of the values:
2 - 7 = -5
5 - 7 = -2
6 - 7 = -1
8 - 7 = 1
7 - 14 = -7.
The squares of these are 25, 4, 1, 1, 49
Their sum = 25 + 4 + 1 + 1 + 49 = 80
Now divide this by 5 = 16.
Standard deviation is √16 = 4.
The Volume of sphere whose radius is 3 cm = 113 (rounded to the nearest tenth)
Volume= 113
The volume of a sphere = 4/3 r³, where r is the radius of the sphere.
Volume of sphere =
=
= 4 x 3.14 x 9
=113.04
≈ 113 (rounded to the nearest tenth)
Learn more about Volume of sphere here:
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The volume of a hemisphere with a radius of 3 cm is approximately 56.6 cm³ when rounded to the nearest tenth of a cubic centimeter. This is calculated by halving the volume of a sphere with the same radius.
The question asks for the volume of a hemisphere with a radius of 3 cm. The formula for the volume of a sphere is V = (4/3)πr³, and since a hemisphere is half of a sphere, the formula adapts to V = (1/2)(4/3)πr³. Using a radius (r) of 3 cm, we get V = (1/2)(4/3)π(3 cm)³.
Let's calculate the volume step by step:
Therefore, the approximate volume of the hemisphere is 56.6 cm³, when rounded to the nearest tenth of a cubic centimeter.