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soldi70 [24.7K]
3 years ago
9

Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordina

te would be the output for point C'? (5 points)
A.C' (2, −3)
B.C' (−2, −3)
C.C' (−2, 3)
D.C' (2, 3)
Mathematics
1 answer:
olasank [31]3 years ago
6 0
After rotation the output for point C´ would be  ( - 2 . -3 ).  There is also a graph showing rotation in the attachment.
Download docx
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A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Supp
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Answer:

Step-by-step explanation:

Given that:

mean μ = 70

sample size = 25

sample mean = 73

standard deviation = 7

level of significance = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

\mathtt{H_o : \mu = 70} \\ \\  \mathtt{H_1 : \mu > 70 }

The z score for this statistics can be calculated by using the formula:

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{73- 70}{\dfrac{7}{\sqrt{25}}}

z = \dfrac{3}{\dfrac{7}{5}}

z = \dfrac{3 \times 5}{{7}{}}

z = 2.143

At level of significance of 0.10

degree of freedom = n -1

degree of freedom = 25 - 1

degree of freedom = 24

The p - value from the z score at   level of significance of 0.10 and degree of freedom of 24 is:

P - value = 1 - (Z < 2.143)

P - value =  1 - 0.9839

P - value =  0.0161

Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.

Conclusion: We conclude that energy drink consumption increases heart rate.

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Step-by-step explanation:

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Hello,

Let's assume a the age of Bea
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6 0
3 years ago
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