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Arlecino [84]
3 years ago
9

the mass of the sun is approximately 1.9885×10^33 grams. select from the drop-down menu to correctly complete the statement. the

mass of the sun is approximately 1.9885×10^30 ____ a. milligrams b. grams c. kilograms
Mathematics
2 answers:
Elanso [62]3 years ago
8 0
I believe the correct answer from the choices listed above is option A. The mass of the sun is approximately 1.9885×10^33 grams which is equivalent to 1.9885×10^30 milligrams. It is because 1 g is equal to 1000 mg. By using this conversion factor, we will obtain such value in units of milligrams.
Advocard [28]3 years ago
8 0

The answer is C. Kilograms. I took the test and milligrams was incorrect. It said kilo was the right answer.

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Paraphin [41]

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The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

In this problem, we have that:

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74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

Z = \frac{X - \mu}{\sigma}

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Z = \frac{X - \mu}{s}

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26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
3 years ago
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