Which is a greater angle of rotation? 720° or 6π radians? Explain how you know.
2 answers:
Answer:
Step-by-step explanation:
It's hard to compare degrees and radians, so we should convert, then compare.
To convert radians to degrees, we multiply by 180 over pi. This way, the pi will cancel out when dividing.
6π radians is equal to 1080 degrees, which is much larger than 720 degrees, so it is the greater angle of rotation.
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Answer:
The weight of an adult male who is 172 cm tall is 89.36 kg.
Step-by-step explanation:
The regression equation representing the relationship between height and weight of a person is:
Here
<em>y</em> = weight of a person
<em>x</em> = height of a person
The information provided is:
The hypothesis to test the significance of the correlation between height and weight is:
<em>H₀</em>: There is no relationship between the height and weight, i.e. <em>ρ</em> = 0.
<em>Hₐ</em>: There is a relationship between the height and weight, i.e. <em>ρ </em>≠ 0.
Decision rule:
If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.
According to information provided:
<em>p</em>-value = 0.023 < <em>α</em> = 0.05
The null hypothesis was rejected at 5% level of significance.
Thus, concluding that there is a relationship between the height and weight.
Compute the weight of an adult male with height, <em>x</em> = 172 cm as follows:
Thus, the weight of an adult male who is 172 cm tall is 89.36 kg.