The z-score tells you how many standard deviations about the mean a given data value is. find the z-score in this situation:

a group of bats has a mean weight of 15 grams with a standard deviation of 1.6 grams. what is the z-score of carl the bat who weighs 17.2 grams?

show your work or explain what you did, and write your answer rounded to two decimal places as you would need to do for use in the standard normal table.

Z-score = -1.38

Step-by-step explanation:

The z-score measures how many standard deviations from the mean a data is

Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation

Where

μ is the mean, x is a data of the population and is the standard deviation

In this case

Then the z-score is

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .