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The lengths of spools of ribbon are normally distributed with a mean of 91.4 centimeters and a standard deviation of 1.3 centimeters.

What is the length of a spool of ribbon with a z-score of 0.7?

Enter your answer, rounded to the nearest tenth, in the box.

the length of a spool of ribbon with a z-score of 0.7 is 92.3 cm

Step-by-step explanation:

Here we have , The lengths of spools of ribbon are normally distributed with a mean of 91.4 centimeters and a standard deviation of 1.3 centimeters.  What is the length of a spool of ribbon with a z-score of 0.7 . Let's find out:

According to Question we have following parameters as :

X = the length of a spool of ribbon

Mean(x) = 91.4 cm

standard deviation(y) = 1.3 cm

Z = 0.7

We know that Z score is given by :

⇒

⇒

⇒

⇒

Therefore , the length of a spool of ribbon with a z-score of 0.7 is 92.3 cm

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

4932,9180,7625 are divisible by 9