Freddie is walking for a charity at a constant rate. After two hours, Freddie has walked 4 miles. At 4 hours, he had walked 8 mi
1 answer:
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Answer:
The test statistic Z = 3.125
Step-by-step explanation:
<em>Given Population proportion P = 0.25</em>
<em>Given sample size 'n' = 696</em>
<em>Sample proportion 'p⁻' = 0.30</em>
Test statistic
<u><em>Final answer</em></u>:-
The test statistic Z = 3.125
Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).
2) From which you can find:
3) Replace sin(α) with 1/4
=>
=>
4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =
.
And that is the answer.
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).
2) From which you can find:
3) Replace sin(α) with 1/4
=>
=>
4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =
And that is the answer.