Answer:
68% of plans cost between $62.16 and $86.52.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean: 74.34
Standard deviation: 12.18
Bell-shaped is the same as normally distributed.
Estimate the number of plans that cost between $62.16 and $86.52.
62.16 is one standard deviation below the mean.
86.52 is one standard deviation above the mean.
By the Empirical rule, 68% of the measures are within 1 standard deviation of the mean.
So
68% of plans cost between $62.16 and $86.52.
Answer:
<em>The Graph is shown below</em>
Step-by-step explanation:
<u>The Graph of a Function</u>
Given the function:
It's required to plot the graph of g(x). Let's give x some values:
x={-2,0,2,4,6}
And calculate the values of y:
Point (-2,-24)
Point (0,-6)
Point (2,0)
Point (4,-6)
Point (6,-24)
The graph is shown in the image below
Answer:
The height of the seat at point B above the ground is approximately 218.5 feet
Step-by-step explanation:
The given parameters are;
The radius of the Ferris wheel, r = 125 feet
The angle between each seat, θ = 36°
The height of the Ferris wheel above the ground = 20 feet
Therefore, we have;
The height of the midline, D = The height of the Ferris wheel above the ground + The radius of the Ferris wheel
∴ The height of the midline = 20 feet + 125 feet = 145 feet
The height of the seat at point B above the ground, h = r × sin(θ) + D
By substitution, we have;
h = 125 × sin(36°) + 145 ≈ 218.5 (The answer is rounded to the nearest tenth)
The height of the seat at point B above the ground, h ≈ 218.5 feet.
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
60 seconds x 60 minutes = 3,600 seconds per hour
3,600 seconds per hour x 24 hours = 86,400 seconds per day.
The light flashes 5 times every 10 seconds:
5 flashes / 10 seconds = 1 flash every 2 seconds
86,400 seconds / 2 seconds = 43,200 flashes per day.
