Horn lengths of texas longhorn cattle are normally distributed. the mean horn spread is 60 inches with a standard deviation of 4.5 inches. calculate the ranges of horn lengths for the middle 99.7% of texas longhorn cattle. show your work or explain how you got the answer.

46.5 inches to 73.5 inches

Step-by-step explanation:

In a normal distribution, the empirical rule tells us that 99.7% of the data falls within 3 standard deviations from the mean.  This means up to 3 below and up to 3 above.

Each standard deviation is 4.5 inches; this makes 3 standard deviations

3(4.5) = 13.5 inches

This means 3 standard deviations below the mean will be

60-13.5 = 46.5 inches.

This means that 3 standard deviations above the mean will be 60+13.5 = 73.5 inches.

answer: a

step-by-step explanation:

10.2 units

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.