Plz help solve, velocity units are ft/min
1 answer:
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Answer:
Step-by-step explanation:
So, on substituting all these values, we get
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<h2>ADDITIONAL INFORMATION :-</h2>Sign of Trigonometric ratios in Quadrants
- sin (90°-θ) = cos θ
- cos (90°-θ) = sin θ
- tan (90°-θ) = cot θ
- csc (90°-θ) = sec θ
- sec (90°-θ) = csc θ
- cot (90°-θ) = tan θ
- sin (90°+θ) = cos θ
- cos (90°+θ) = -sin θ
- tan (90°+θ) = -cot θ
- csc (90°+θ) = sec θ
- sec (90°+θ) = -csc θ
- cot (90°+θ) = -tan θ
- sin (180°-θ) = sin θ
- cos (180°-θ) = -cos θ
- tan (180°-θ) = -tan θ
- csc (180°-θ) = csc θ
- sec (180°-θ) = -sec θ
- cot (180°-θ) = -cot θ
- sin (180°+θ) = -sin θ
- cos (180°+θ) = -cos θ
- tan (180°+θ) = tan θ
- csc (180°+θ) = -csc θ
- sec (180°+θ) = -sec θ
- cot (180°+θ) = cot θ
- sin (270°-θ) = -cos θ
- cos (270°-θ) = -sin θ
- tan (270°-θ) = cot θ
- csc (270°-θ) = -sec θ
- sec (270°-θ) = -csc θ
- cot (270°-θ) = tan θ
- sin (270°+θ) = -cos θ
- cos (270°+θ) = sin θ
- tan (270°+θ) = -cot θ
- csc (270°+θ) = -sec θ
- sec (270°+θ) = cos θ
- cot (270°+θ) = -tan θ
Answer:
-30% or 30% decrease
Step-by-step explanation:
What's percentage decrease?
- Percent decrease is the difference between the initial value and new value, indicating a loss of value.
- The formula to find percent decrease is
, where NV = new value and IV = initial value.
How do we solve this problem?
- We know that the original value was $60, so that represents IV. Also, now that the price is $42, it represents NV.
- Now, we plug in the values!
Therefore, the answer is 30% decrease.
<u>Testing the hypothesis</u>, it is found that since the <u>p-value of the test is 0.0042 < 0.01</u>, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.
At the null hypothesis, it is tested if the <u>proportion is of 0.5</u>, that is:
At the alternative hypothesis, it is tested if the <u>proportion is different of 0.5</u>, that is:
The test statistic is given by:
In which:
is the sample proportion.
- p is the value tested at the null hypothesis.
- n is the sample size.
In this problem, the parameters are given by:
The value of the test statistic is:
Since we have a <u>two-tailed test</u>(test if the proportion is different of a value), the p-value of the test is P(|z| > 2.86), which is 2 multiplied by the p-value of z = -2.86.
Looking at the z-table, z = -2.86 has a p-value of 0.0021.
2(0.0021) = 0.0042
Since the <u>p-value of the test is 0.0042 < 0.01</u>, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.
A similar problem is given at brainly.com/question/24330815