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 :

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⇒

⇒

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

i got 10.28 but that rounds up to 10.3