A boy walks 6 km from a point P to a point Q on a bearing of 065. He then walks to a point R at a distance of 13 km on a bearing
1 answer:
9514 1404 393
Answer:
- see below for a sketch
- 12 km
Step-by-step explanation:
The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...
PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)
PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77
PR ≈ √154.77 ≈ 12.44 . . . . km
The distance PR is about 12 km.
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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