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wolverine [178]
3 years ago
6

"Use the following information to answer the question. The mean age of lead actresses from the top ten grossing movies of 2010 w

as 29.6 years with a standard deviation of 6.35 years. Assume the distribution of the actresses' ages is approximately unimodal and symmetric.
In 1993, actress Anna Paquin won an academy award in for the movie ""The Piano."" She was 11-years-old. Finish the statement: ""According to the Empirical Rule, the ages of nearly all lead actresses will be between______________and_____________ years. Anna Paquin was this range when she won the academy award."""

a) 10.6; 48.7; within
b) 23.3: 36.0; within
c) 16.9: 42.3; not within
d) 10.6: 48.7; not within
Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0

Answer:

a) 10.6; 48.7; within

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 29.6

Standard deviation = 6.35

"According to the Empirical Rule, the ages of nearly all lead actresses will be between______________and_____________ years.

Nearly all(99.7%) will be within 3 standard deviations from the mean.

So from 29.6 - 3*6.35 = 10.6 years to 29.6 + 3*6.35 = 48.7 years.

Anna was 11-years old, so she was within this range.

So the correct answer is

a) 10.6; 48.7; within

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<h3>Answers:</h3><h3>a. Vertices of triangle ABC are: A, B, C</h3><h3>b. Sides of triangle ABC are: AB, BC, AC</h3><h3>c. The side between angle A and angle C is: side AC</h3><h3>d. The angle between sides AB and CA is: angle A</h3><h3>e. Scalene triangle</h3>

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Explanations:

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yan [13]

Hello!!!

The Graph's Answer is below

<u>Nicole's Pattern                   Ian's Pattern               Coordinate's Plane               </u>

 1                                                 0                                   ( 1,0)

5                                                 1                                   (5,1)

17                                                3                                 (17,3)    

53                                               7                                (53,7)    

161                                               15                              (161,15)

In order to get these answers, you start with 1 one Nicole's equation, and mutliply by 3, which gets you three. You then add two, which gets you five, after this, you continue to add Nicole's answer by three, then add five.For Ian's answer,you start with 0,then you add 1/2, which gives you .5 After you have this .5 you multiply by 2,which gives you one whole, you continue to add a half and mutliply by 2 for each answer. Nicole's answer is X,which means it is used first in our parentheses ( ),while ian's is Y and is used second.

I HOPE THIS HELPS! Good luck on your assignment and let me know if you need help with anything else <3!

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