Determine the graph of the sinusoid with amplitude of 4 and period of 2π/3
1 answer:
Answer:
Option b.
y = 4 sin (3x)
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The period is
T = 2π/3
This means the frequency in radians is
W = 2π/T = 3
The equation is either:
y = 4 cos(3x)
y = 4 sin (3x)
The correct answer is
Option b.
y = 4 sin (3x)
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The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.
<h3>How to find the length of the rooms?</h3>Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).
- 50: 50 25 10 5 1
- 90: 90 45 30 18 15 10 9 6 5 3 2 1
The greatest common number is 10, so 10 meters is the length of the room.
<h3>How to find the width?</h3>Use the formula
- A = lenght x width or width = area / lenght
Kitchen.
- Width: 50 / 10
- Width: 5 meters
Dining room:
- Width: 90 / 10
- Width: 9 meters
Note: In this question the diagram is missing; below, I attach the diagram.
Learn more about greatest common factor in: brainly.com/question/282609
Answer:
The minimum percentage of recently sold homes with prices between $197,200 and $232,800 is 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by .
In this question:
Mean of $215,000, standard deviation of $8900.
What is the minimum percentage of recently sold homes with prices between $197,200 and $232,800?
215000 - 2*8900 = 197200
215000 + 2*8900 = 232800
Within 2 standard deviations of the mean, so:
The minimum percentage of recently sold homes with prices between $197,200 and $232,800 is 75%.