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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.)
sions
Kented in
V3 and
andomly
d by in-
on affect
otes
ents
le
Enter your answer in the answer box and then click Check Answer.
section
different
version
Clear All
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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The radius of a circle is 15. Using π, which equation expresses the ratio of the circumference to the diameter of a circle?
Kobotan [32]

Answer:

The equation which expresses the ratio of the circumference to the diameter of a circle is  \frac{C}{30}=\pi ⇒ D

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

\frac{C}{d}=\pi , where

  • C is the circumference of the circle
  • d is the diameter of the circle

∵ The circumference of the circle is C

∵ The radius of the circle is 15 units

∴ r = 15 units

- Find the diameter of the circle

∵ The diameter of the circle d = 2 r

∴ d = 2(15) = 30 units

∴ The diameter of the circle is 30 units

∵ \frac{C}{d}=\pi

∵ d = 30 units

∴ \frac{C}{30}=\pi

The equation which expresses the ratio of the circumference to the diameter of a circle is  \frac{C}{30}=\pi

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