A regular nonagon has vertices that are 360°/9 = 40° apart. Any rotation by a multiple of 40° will make the figure indistinguishable from the original.

Rotational symmetry of 40° applies.

Rotational symmetry of 200° applies.

6 0

2 years ago

Hector records his reading times in a journal. His two reading times are 33.56 min and 41.98 min. Liam records his reading times

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33.56 plus 41.98 = 75.54(total reading time for Hector)

31.61 plus 42.08= 73.69(total reading time of Liam)

75.54 minus 73.69= 1.85 more reading time than Liam

ANSWER:Hector read for 1.85 more minutes than Liam

6 0

2 years ago

Suppose the true proportion of high school juniors who skateboard is 0.18. If many random samples of 250 high school juniors are

madreJ [45]

Answer:

0.024

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$