Answer:
68%
Step-by-step explanation:
The Standard Deviation Rule = Empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question,
Step 1
We have to find the number of Standard deviation from the mean. This is represented as x in the formula
μ = Mean = 61
σ = Standard Deviation = 8
For x = 53
μ - xσ
53 = 61 - 8x
8x = 61 - 53
8x = 8
x = 8/8
x = 1
For x = 69
μ + xσ
69 = 61 + 8x
8x = 69 - 61
8x = 8
x = 8/8
x = 1
This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%
Highly because they do not have to vacuum their car
Answer:
6.7
Step-by-step explanation:
To solve this problem, we need to calculate the distance between two points in the XY coordinate plane.
The formula to calculate this distance is:
d = sqrt(dx^2 + dy^2)
where dx is the difference between the X coordinate of the points, dy is the difference between the Y coordinate of the points, and d is the distance.
(sqrt is the square root of what is in the parenthesis)
The first point (April's king) has X=4 and Y=2, the second point (the opponent's king) has X=7 and Y=8.
So, we have that dx = 4-7 = -3 and dy = 2-8 = -6
Now, we calculate the distance:
d = sqrt[ (-3)^2 + (-6)^2 ] = sqrt(9+36) = sqrt(45) = 6.7082 = 6.7
