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Phoenix [80]
3 years ago
15

Using The diagram, name two pairs of adjacent angles and two pairs of vertical angles.​

Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

1. adjacent: ∠ACB and ∠BCD.

vertical: ∠ACB and ∠ECD

Step-by-step explanation:

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Factor completely 5c5 + 60c4 + 180c3.
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5c^5 + 60c^4 + 180c^3

find the GCF, 5c³

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5c³(c² + 2(c)(6) + 6²)

5c³(c + 6)² <<< the answer.

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A researchers wants to determine the mean weight of avocados grown in Southern California. The population from which the sample
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Answer: (0.465, 5.535)

Step-by-step explanation:

Formula to calculate the confidence interval (<em>when population standard deviation is unknown</em>) is given by :-

\overline{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}

, where \overline{x} = sample mean.

s= sample standard deviation.

n= Sample size.

t_{\alpha/2} = critical value

By considering the given information , we have

\overline{x}=6

s=0.75

n= 9

Significance level = \alpha=0.1   [1-0.90=0.1]

By using students' t distribution -table , the critical value for 95% confidence level :

t_{\alpha/2 , n-1}=t_{0.1/2,\ 8}=1.86

[Note: degree of freedom = n-1]

Now, the 90% confidence interval for the true mean weight of these Southern California avocados will be :

6\pm (1.86) \dfrac{0.75}{\sqrt{9}}

6\pm (1.86) \dfrac{0.75}{3}

6\pm (1.86) 0.25

6\pm 0.465=(6-0.465,\ 6+0.465)=(0.465,\ 5.535)

Hence, the required confidence interval  =(0.465, 5.535)

4 0
3 years ago
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