The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 47.8 cm and a standard deviation of 3.72 cm (Overgaard, Berndt & Linneryd, 2012). Assume the length of fish is normally distributed. What is the length in cm of the longest 10% of Atlantic cod in this area

The length in cm of the longest 10% of Atlantic cod in this area is at least 53.92 cm.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

What is the length in cm of the longest 10% of Atlantic cod in this area

At least x cm.

x is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9. So X when Z = 1.645. Then

The length in cm of the longest 10% of Atlantic cod in this area is at least 53.92 cm.

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

28

step-by-step explanation:

8+8+6+6