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inysia [295]
3 years ago
8

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distribute

d with a
mean of 100 and a standard deviation of 15.
106 124
The area of the shaded region is (Round to four decimal places as needed.)

Mathematics
1 answer:
bulgar [2K]3 years ago
4 0

Answer:

The area of the shaded region is 0.2898.

Step-by-step explanation:

Let <em>X</em> represent the IQ scores of adults.

It is provided that X\sim N(100,15^{2}).

Compute the probability of an adult having an IQ between 106 and 124 as follows:

P(106

                             =P(0.40

*Use a <em>z</em>-table.

Thus, the area of the shaded region is 0.2898.

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You can use subtraction to get

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Answer:

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Step-by-step explanation:

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We have joined the incenter I to the vertices of the \triangle MDL.

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As per the figure attached, we are given that side <em>a = 10.</em>

Using pythagoras theorem, we can easily calculate that side ML = 10\sqrt{2}

Points P,Q and R are at 90 ^\circ on the sides ML, MD and DL respectively so IQ, IR and IP are heights of  \triangleMIL, \triangleMID and \triangleDIL.

Also,

\text {Area of } \triangle MDL = \text {Area of } \triangle MIL +\text {Area of } \triangle MID+ \text {Area of } \triangle DIL

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