The National Health Statistics Reports dated Oct. 22, 2008, stated that for a sample size of 277 18-year-old American males, the sample mean waist circumference was 86.3 cm. A somewhat complicated method was used to estimate various population percentiles, resulting in the following values.5th 10th 25th 50th 75th 90th 95th69.6 70.9 75.2 81.3 95.4 107.1 116.4(a)Is it plausible that the waist size distribution is at least approximately normal? Explain your reasoning.

It isn't plausible enough to at least say that the distribution is approximately normal because the percentiles given, when plotted on a number line aren't in any way symmetric about the mean as is required for a normal distribution.

Step-by-step explanation:

To investigate whether these values given for the distribution are plausible enough to at least say that the distribution is approximately normal, we will plot the given percentiles on a number line and indicate the median and mean too on that number line.

The spread of the other percentiles about the mean especially and to an extent, the median will show if the distribution is symmetric/ almost symmetric about the mean and the median.

The plot of these percentiles and the mean is presented in the attached image to this answer. The percentiles are indicated with deep dots and the mean is shown with a light square.

The plot shows that the distribution isn't symmetric about the mean and the median. The distribution appears to be skewed to the right.

Hence, it isn't plausible enough to at least say that the distribution is approximately normal because the percentiles given, when plotted on a number line aren't in any way symmetric about the mean as is required for a normal distribution.

Hope this Helps!!!

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: