<h3>
Answer: 83.85%</h3>
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
<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.
Answer:
For #5
Step-by-step explanation:
Perpendicular
Simplifying
0.4x + -2.5 = 1.3x + 4.7
Reorder the terms:
-2.5 + 0.4x = 1.3x + 4.7
Reorder the terms:
-2.5 + 0.4x = 4.7 + 1.3x
Solving
-2.5 + 0.4x = 4.7 + 1.3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.3x' to each side of the equation.
-2.5 + 0.4x + -1.3x = 4.7 + 1.3x + -1.3x
Combine like terms: 0.4x + -1.3x = -0.9x
-2.5 + -0.9x = 4.7 + 1.3x + -1.3x
Combine like terms: 1.3x + -1.3x = 0.0
-2.5 + -0.9x = 4.7 + 0.0
-2.5 + -0.9x = 4.7
Add '2.5' to each side of the equation.
-2.5 + 2.5 + -0.9x = 4.7 + 2.5
Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -0.9x = 4.7 + 2.5
-0.9x = 4.7 + 2.5
Combine like terms: 4.7 + 2.5 = 7.2
-0.9x = 7.2
Divide each side by '-0.9'.
x = -8
Simplifying
x = -8
Answer:
4
Squiggles
Step-by-step explanation:
steps
- convert the length of squiggles from feet to inches
- find the difference
1 feet = 12 inches
2 feet = 2 x 12 = 24 inches
length of squiggles = 24 + 10 = 34 inches
squiggles is longer because 34 is greater than 30
difference = 34 - 30 = 4
