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Mariulka [41]
3 years ago
5

Assume that adults have IQ scores that are normally distributed with a mean of 94 and a standard deviation of 14. Find the proba

bility that a randomly selected adult has an IQ greater than 107.1. ​(Hint: Draw a​ graph.) To help visualize the area of​ interest, draw a standard normal curve. Label the given values for x and mu . x 94107.1

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0

Answer:

0.6517

Step-by-step explanation:

z = (x - μ)/σ

Z= standard score

x= observed value

μ= mean of the sample

σ= standard deviation of the sample

z = (x - μ)/σ  = (107.1 - 94 )/ 14 = 0.9357

probability that a randomly selected adult has an IQ greater than 107.1.  = P(Z > 0.935) =  0.6517

NB: the value is 0.6517 is pulled from the z table which can be found at the back of most math text.

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solmaris [256]

Answer:

<h2>W = 16</h2>

Step-by-step explanation:

<h3>\sqrt[4]{W}  = 2 </h3>

To find W raise each of the sides of the equation to the power 4 to make W stand alone

That's

<h3>( { \sqrt[4]{W} })^{4}  =  {2}^{4}</h3>

We have

W = 2⁴

We have the final answer as

<h3>W = 16</h3>

Hope this helps you

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3 years ago
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4 years ago
If a cup of coffee has temperature 97°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law o
FinnZ [79.3K]

Answer:

The  average temperature  is T_{a} = 81.95^oC

Step-by-step explanation:

From the question we are told that

    The temperature of the coffee after time t is   T(t) =  25 + 72 e^{[-\frac{t}{45} ]}

Now the average temperature during the first 22 minutes i.e fro 0 \to  22minutes is mathematically evaluated as

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               T_{a} = \frac{1}{22} [25 t  +  72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.

             T_{a} = \frac{1}{22} [25 t  - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.

              T_{a} = \frac{1}{22} [25 (22)  - 3240e^{[-\frac{22}{45} ]}   - (- 3240e^{0} )]

            T_{a} = \frac{1}{22} [550  - 1987.12  +  3240]

          T_{a} = 81.95^oC

       

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3 years ago
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4 0
3 years ago
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