The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 47 and a standard deviation of 7. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 40 and 68?
Answers
This value is approximate.
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Explanation:
Let's compute the z score for x = 40
z = (x-mu)/sigma
z = (40-47)/7
z = -1
We're exactly one standard deviation below the mean.
Repeat these steps for x = 68
z = (x-mu)/sigma
z = (68-47)/7
z = 3
This score is exactly three standard deviations above the mean.
Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.
34+34+13.5+2.35 = 83.85
Roughly 83.85% of the one-mile roadways have between 40 and 68 potholes.
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Answer:
60%
Step-by-step explanation:
216/360 = 0.6
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What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Elizabeth buys a package of 360 marbles and she gives away 216 of the marbles.
Now, the percentage is 216/360 ×100
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Therefore, the percent of the marbles Elizabeth give away is 60%.
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Answers
The graph of each of the inequalities are created using a graphing tool as follows;
Graph 1; x ≥ (y + 3)² + 1
The domain = 1 ≤ x ≤ ∞
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The range = -∞ < y < ∞
Graph 3; x ≥ (y - 3)² + 1
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The range = -∞ < y < ∞
Graph 4; x ≤ (y - 3)² + 1
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The range = -∞ < y < ∞
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Answer:
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Step-by-step explanation:
End of semester geometry Semester A question 6
Select the correct answer.
Given:
Prove:
By the linear pair theorem, is supplementary to . Since , by the definition of congruence, . Applying the substitution property of equality, . Simplifying the equation, .
What step is missing from this proof?
A.
is supplementary to by the transitive property.
B.
by the definition of supplementary angles.
C.
by the definition of congruence.
D.
by the linear pair theorem.
Answers
Answer:
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Step-by-step explanation:
for plato
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Answers
Answer:
Segment ED has the same length as EA
The line segment which is equal to EA is ED. Therefore, option B is the correct answer.
In the given diagram, a line perpendicular to line AB passes through point C.
What is the tangent to the circle?A tangent to a circle is a line which intersects the circle at only one point. The common point between the tangent and the circle is called the point of contact.
The length of two tangents drawn from an external point to a circle is equal.
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Line segment EA is tangent to a small circle.
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The line segment which is equal to EA is ED. Therefore, option B is the correct answer.
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Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts
Answers
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Answer:
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Step-by-step explanation:
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See attachment.
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Answer:
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Step-by-step explanation:
Let the height of the larger window be h.
The width and height of smaller window are 5 and 8 respectively.
The width and height of smaller window are 9.6 and h respectively.
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5
=
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Answers
Answer:
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Step-by-step explanation:
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Answer:
Yes.
Step-by-step explanation:
I had a problem just like this and you are correct.
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Answers
Answer:
4
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Answers
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Answers
Answer:
16
Step-by-step explanation:
1) Plug x=1 into equation
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f(x) = -2²+4+6
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[tex]\frac{16}{1}[/tex]
16
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Answers
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