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kolezko [41]
3 years ago
8

The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation. Accord

ing to the Empirical Rule, what percentage of the fish will have lengths within 1 standard deviation of the mean?
a) 34%
b) 47.5%
c) 68%
d) 99.7%
Mathematics
2 answers:
umka21 [38]3 years ago
5 0

Answer:

c) 68%

Step-by-step explanation:

The empirical rule states that most of the data will be within three standard deviations in a normal distribution. The 68% of the data will be within one standard deviation, the 95% will be within two standard deviations, and 99.7% of the data will be within three standard deviations.

A normal distribution is a continuous distribution in which values around the mean are the most frequents. It can also be called a bell-shaped distribution.

RSB [31]3 years ago
3 0

Answer:

c.) 68%

Step-by-step explanation:

jut took test on ed

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Please help me<br> Show your work
GrogVix [38]

<u>ANSWER TO PART A</u>

The given triangle has vertices J(-4,1), K(-4,-2),L(-3,-1)


The mapping for rotation through 90\degree counterclockwise has the mapping


(x,y)\rightarrow (-y,x)


Therefore

J(-4,1)\rightarrow J'(-1,-4)


K(-4,-2)\rightarrow K'(2,-4)


L(-3,-1)\rightarrow L'(1,-3)


We plot all this point and connect them with straight lines.


ANSWER TO PART B


For a reflection across the y-axis we negate the x coordinates.


The mapping is



(x,y)\rightarrow (-x,y)


Therefore

J(-4,1)\rightarrow J''(4,1)


K(-4,-2)\rightarrow K''(4,-2)


L(-3,-1)\rightarrow L''(3,-1)


We plot all this point and connect them with straight lines.


See graph in attachment







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Answer:

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Step-by-step explanation:

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For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

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