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OverLord2011 [107]
3 years ago
5

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.
n
f0 and
102
130
are
The area of the shaded region is (Round to four decimal places as needed.)
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Kented in
V3 and
andomly
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on affect
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Enter your answer in the answer box and then click Check Answer.
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Mathematics
1 answer:
jeyben [28]3 years ago
3 0

Answer: 0.4255

Step-by-step explanation:

Given:  IQ scores of adults, and those scores are normally distributed

Mean: \mu=100

Standard deviation: \sigma= 15

Let X denotes the IQ of a random adults.

The area between 102 and 130 = P(102

=P(0.13

Hence, area between 102 and 130 = 0.4255

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=========================================================

Explanation:

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Plug each possible root one at a time into the original expression given. If the simplified result is 0, then that possible root is an actual root.

If we tried say a = -1, then,

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The result is not zero, so a = -1 is not an actual root.

But if we tried say a = 1, then,

2a³-a²+a-2​ = 2(1)³-1²+1-2​ = 0

We get 0 so a = 1 is an actual root. I'll let you try the other values, but you should find that a = 1 is the only rational root.

Since a = 1 is a root, this makes (a-1) to be a factor.

From here, use either synthetic or polynomial long division to determine the other factor. Refer to the diagram below for each method.

Regardless of which method you pick, the quotient is 2a² + a + 2 which is the other factor needed. The remainder of 0 tells us we have (a-1) as a factor. For more information, check out the remainder theorem.

5 0
1 year ago
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HACTEHA [7]

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4 0
2 years ago
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