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8090 [49]
3 years ago
8

For the women age 18-24 in HANES2, the average height was about 64.3 inches; the SD was about 2.6 inches. Express each height in

standard units. (Decimal form; two places after decimal.) 66 inches:
Mathematics
1 answer:
crimeas [40]3 years ago
5 0

Answer:

For a height of 66 inches, Z = 0.65.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The average height was about 64.3 inches; the SD was about 2.6 inches.

This means that \mu = 64.3, \sigma = 2.6

66 inches:

The z-score for a height of 66 inches is:

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

Z = \frac{66 - 64.3}{2.6}

Z = 0.65

For a height of 66 inches, Z = 0.65.

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In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following
Anna [14]

A <em>circle</em> is a figure <u>bounded</u> by a <em>curved</em> side which is referred to as <em>circumference</em>. Thus the area of the <u>shaded</u> region is option D. 81.65.

A <em>circle</em> is a figure<u> bounded</u> by a <em>curved</em> side which is referred to as <u>circumference</u>. Some of its <u>parts</u> are radius, diameter, sector, arc, etc.

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where r is the <u>radius</u> of the circle and π = \frac{22}{7}

So, the area of the <u>shaded</u> region can be determined as:

Area of the <em>shaded</em> region = <em>area </em>of the <u>larger</u> circle - <em>area</em> of the <u>smaller</u> circle

Area of the<em> shaded </em>region = π(6.8)^{2} - π(4.5)^{2}

                                            = π (46.24 - 20.25)

                                            = \frac{22}{7} x 25.99

                                            = \frac{571.78}{7}

<u>Area</u> of the <em>shaded</em> region = 81.683

Thus the<u> appropriate</u> answer to the question is option D. 81.65.

For more clarifications on the area of a circle, visit: brainly.com/question/3747803

#SPJ1

   

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