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PilotLPTM [1.2K]
4 years ago
12

Use the Normal model ​N(98​,15) for the IQs of sample participants. What IQ represents the 17th percentile? Use the appropriate

Excel function to calculate your answer and round to one decimal place.
Mathematics
1 answer:
maxonik [38]4 years ago
7 0

Answer:

=NORM.INV(0.17,98,15)

Step-by-step explanation:

Consider X represents the IQs of sample participants.

Then X follows the Normal Distribution with mean 98 and standard deviation 15.

That is,

     X \sim N(98,15)

The probability value is 17th percentile (that is 0.17)

To find the value of X using Excel, the<em> Inverse Normal Distribution </em>is used.

The Excel function =NORM.INV(0.22,105,17) is used to find the IQs of sample participants.

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nexus9112 [7]

Answer:

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Step-by-step explanation:

Volume of a sphere:

The volume of a sphere is given by the following equation:

V = \frac{4\pi r^3}{3}

In which r is the radius.

Implicit derivatives:

This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}

The radius of a sphere is increasing at a rate of 4 mm/s.

This means that \frac{dr}{dt} = 4

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This is \frac{dV}{dt} when r = \frac{d}{2} = \frac{60}{2} = 30. So

\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}

\frac{dV}{dt} = 4\pi*(30)^2*4

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The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

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3 years ago
You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side
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A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
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Answer: 7 inches

Step-by-step explanation:

       If x is the first piece, and the second piece is twice as long, then the second piece is 2x.

        If the third piece is three times as long as the first piece, x, then the third piece is 3x.

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