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QveST [7]
3 years ago
10

Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?

Mathematics
1 answer:
lbvjy [14]3 years ago
8 0
The linear function has an equation
y = -3x + 6
The equation of the circle is
<span>y2 + x2 = 16

Substituting
(-3x + 6)^2 + x^2 = 16
This quadratic equation has real solutions  which mean that the line and the circle will intersect
</span>
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Suppose that IQ scores have a bell-shaped distribution with a mean of 99 and a standard deviation of 14. Using the empirical rul
algol [13]

Answer:

About 99.7% of the IQ scores would be between 57 and 141.

Step-by-step explanation:  

The Empirical Rule about a bell-shaped curve states that :

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Now, we need to find what percentage of IQ scores lies between 57 and 141 : Mean = 99 and standard deviation = 14

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Thus, 57 is 3 standard deviations to the left of the mean.

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