Answer:
A = 108 ft^2
Step-by-step explanation:
W = width
L = length = W + 3 ft
Area of this rectangle when W = 9 ft is:
A = W * L = (9 ft)(9 ft + 3 ft) = (9 ft)(12 ft) = 108 ft^2
Answer:
Step-by-step explanation:
The z-score corresponding to a given area of a distribution, is the number of standard deviations that the values in that area have/are from the mean.
In this case, we have a STANDARD normal distribution. In a standard normal distribution, the mean is 0 and the standard deviation is 1.
The Z-score corresponding to a given area, say the 30th percentile is
X = 0 + (-0.524)(1)
Hence, the X (number of values in the given percentile - in this case, 30th) is same as the z-table or z-calculator value for the 30th percentile in ANY normal distribution.
Answer: Last Option
Amplitude = 8 feet; period = 18 hours; midline: y = 12
Step-by-step explanation:
This problem can be modeled by a sinusoidal function.
By definition the amplitude of a periodic function is half the distance between the minimum value and the maximum value of the function.
In this case we know that the minimum value is 4 and the maximum value is 20. Then the amplitude A is:
The middle line is a horizontal line that cuts the graph at its midpoint.
The midline is calculated as:
Where A is the amplitude and Vmax is the maximum value of the function
Finally, the period is the time it takes for the function to complete a cycle. In this case we know that it takes 18 hours. So the period is 18 hours
The answer is: "Amplitude = 8 feet; period = 18 hours; midline: y = 12"
Answer:
B
Step-by-step explanation:
Easiest way is to use process of elimination by plugging in x numbers from the table in the equation to find the y and see which one matches.
Plug in 10 for x and y should be -1
Check A:
Not A, doesn't equal -1
Check B:
Correct, might be B
Check another point (20,14):
Correct, it is B.
You can check other 2 and see that they are wrong.
≈0.128 is the correct answer