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lina2011 [118]
2 years ago
11

In Tucson, Arizona, the air pollution index averages 62.5 during the year with a standard deviation of 18. Assuming normality, t

he index falls within what interval 95% of the time?
Mathematics
2 answers:
malfutka [58]2 years ago
5 0
Using the empirical rule for a normal distribution. the required interval is within plus and minus two standard deviations from the mean:
62.5 - 36 = 26.5.
62.5 + 36 = 98.5.
The interval is (26.5, 98.5).

stealth61 [152]2 years ago
3 0

The <em><u>correct answer</u></em> is:

(26.5, 98.5)

Explanation:

The empirical rule states that in a normal distribution, 68% of data fall within one standard deviation of the mean; 95% of data fall within two standard deviations of the mean; and 99.7% of data fall within three standard deviations of the mean.

Since we want 95% of the data, that means our data will fall within 2 standard deviations.  Since the standard deviation is 18, two standard deviations will be 2*18 = 36.

Two standard deviations below the mean will be 62.5-36 = 26.5.

Two standard deviations above the mean will be 62.5+36 = 98.5.

This makes the interval (26.5, 98.5).

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AleksAgata [21]
Let's actually find the roots, using the quadratic formula:

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Then x = -----------------------------------------------          
                                           2

The discriminant here is negative, so the roots x will be complex:

              -1 plus or minus sqrt(-11)      -1 plus or minus i*sqrt(11)
       x = ---------------------------------- = -------------------------------------
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These are irrational roots; they cannot be expressed as the ratios of integers.</span>
8 0
3 years ago
The campers in cabin A walked 1/4 of the way to otter ridge (13 miles) How many miles did they walk?
shusha [124]
The question demands that we find a fraction of a given quantity.

The 'of ' means multiplication.

So the total distance of the journey was

13 \: miles

But they walked ¼ of the whole journey. We are supposed to find

\frac{1}{4} \: of \: 13 \: miles
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3 0
3 years ago
How many triangles would be needed to cover 7/3 trapezoid 7/3 ×3=7 Am I right I think it 21 doe.
jarptica [38.1K]

Answer:

5 or 6 (or 2 or 7)

Step-by-step explanation:

Any quadrilateral can be covered by 2 triangles, so the integer number in 7/3 = 2 1/3 quadrilaerals will require 2×2 = 4 triangles.

The meaning of (1/3) trapezoid determines the number of additional triangles required. If 1/3 trapezoid is a triangle, only one is needed. If 1/3 trapezoid is a quadrilateral, then 2 triangles are needed.

_____

If the 7/3 trapezoids are butted against each other so they make a larger quadrilateral figure, then only 2 triangles are needed.

_____

If each trapezoid is constructed from 3 equilateral triangles, and you want to know the total number of those equilateral triangles in 7/3 such figures, it will be 3 × 7/3 = 7.

The answer depends on problem details not provided here.

7 0
3 years ago
Anyone know what Find f(6) means???
zvonat [6]

I believe that the question is referring to f(x) [f(x)=y , x=x] meaning it is asking for the <u>x value of 6</u>.

4 0
3 years ago
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Allushta [10]

Answer:

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Janine paid $6,200 in Social Security taxes for 2018.

4 0
2 years ago
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