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Vadim26 [7]
2 years ago
6

What percent of 863.6 is 380

Mathematics
1 answer:
Aleks04 [339]2 years ago
4 0
Hello there! To solve types of questions like these, we can write and solve a proportion. We are looking for the percentage of 380 out of 863.6. Let's set up the proportion like this: 380/863.6 = x/100. Cross multiply the values in order to get 38,000 = 863.6x. Now, divide each side by 863.6 to isolate the "x". 38,000/863.6 is 44.00185271 or 44 when rounded to the nearest whole number. 380 is appox. 44% of 863.6.
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Using the normal distribution, the area underneath the shaded region <u>between the two z-scores</u> is given by:

C. 0.6766.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Hence, for this problem, the area is the <u>p-value of z = 0.75 subtracted by the p-value of z = -1.3</u>.

Looking at the z-table, the p-values are given as follows:

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  • z = -1.3: 0.0968.

Then:

0.7734 - 0.0968 = 0.6766.

Which means that option C is correct.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

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