389 / 106Round off to the nearest whole number
1 answer:
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Answer:
V = 19.19 cubic units
None of the options are correct.
Step-by-step explanation:
Volume of a cone is given as;
V = ⅓πr²h
Now, we are given;
diameter = 4 units
Thus radius;r = diameter/2 = 4/2 = 2 units
I have attached an image to show the diagram of the cone.
Now, to find the height (h), we know the radius(r) and we know the slant length(l) . So we can use Pythagoras theorem to find the height.
From Pythagoras theorem;
r² + h² = l²
Where l is the hypotenuse or the slant side while "r" is the radius of the cone while the height will be "h"
Thus;
2² + h² = 5²
h² = 5² - 2²
h² = 25 - 4
h² = 21
h = √21
h = 4.5826 units
So height (h) = 4.5826 units
Volume of cone;V = ⅓πr²h
We are told that π = 3.14
Thus;
V = ⅓ x 3.14 x 2² x 4.5826
V = 19.19 cubic units
Answer:
a
The null hypothesis will be
b
The alternative hypothesis will be
c
The alternative hypothesis will be
d
The alternative hypothesis will be
e
left; right; both
Step-by-step explanation:
Considering question a
The body weight of the colt is
The null hypothesis will be
Considering question b
Given that we want to test the claim that the average weight of a wild Nevada colt is less than 60 kg , then
The alternative hypothesis will be
Considering question c
Given that we want to test the claim that the average weight of such a wild colt is greater than 60 kg , then
The alternative hypothesis will be
Considering question d
Given that we want to test the claim that the average weight of such a wild colt is different from 60 kg , then
The alternative hypothesis will be
Considering question e
For question b , the corresponding p-value will be on the left because the average weight is less than 60 kg
For question c , the corresponding p-value will be on the right because the average weight is more than 60 kg
For question d , the corresponding p-value will be on both because the average weight is different from 60 kg