<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:
1. D. 1
2. B. y=a³/x
3. A. y=1/x
Step-by-step explanation:
too long to give te explanations but they're there in the attachments
Answer:
C. $0 because $25.36 and -$25.36 are additive inverses.
Step-by-step explanation:
Additive inverses means 2 numbers that are the complete opposite.
When additive inverses are added together, their sum is 0.
Example: 1 and -1.
They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.
<u>Given:</u>
- Before the deposit, her bank account balance is -25.36.
- She has deposited $25.36 into her bank account.
<u>Solve:</u>
Let's add both -25.36 and 25.36.
-25.36 + 25.36 = 0.
C. is the correct choice, and the reasoning is valid.
Option b: 10 in, 18.5 in, 31.5 in.
Explanation:
The three sides of a triangle are 
and 
The perimeter of the triangle is 
.
Since, Perimeter = all sides of the triangle
Let us add all the three sides to determine the length of each side.
Substituting the value of Perimeter and simplifying, we get,
Substituting 
in the three sides of the triangle and , we get,
Thus, the lengths of each side are 10 in, 18.5 in, 31.5 in.
Answer:
m<BGC = 145°
Step-by-step explanation:
<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:
m<AGC = m<DGB
(substitution)
Collect like terms
Divide both sides by -5
x = 5
m<BGC = 180 - (m<AGC) (linear pair)
m<BGC = 180 - (3x + 20)
Plug in the value of x
m<BGC = 180 - (3(5) + 20) = 180 - 35
m<BGC = 145°
