The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
<h3>The sinusoidal function</h3>
The minimum and the maximum of the function are
The amplitude (A) is calculated as:
A = 0.5 * (Maximum - Minimum)
So, we have:
A = 0.5 * (-5 + 1)
A = -2
The vertical shift (d) is calculated as:
d = 0.5 * (Maximum + Minimum)
So, we have:
d = 0.5 * (-5 - 1)
d = -3
The period (P) is calculated as:
P = 2π/B
From the graph,
B = 1
So, we have:
P = 2π/1
P = 2π
So, the amplitude is -2 and the period is 2π.
<h3>The equation of the sine function</h3>
In (a), we have:
A = -2
B = 1
d = -3
A sine function is represented as:
y = A sin(Bx + C) + D
So, we have:
y = -2sin(x + C) - 3
The graph passes through the point (0, -5)
So, we have
-5 = -2sin(0 + C) - 3
Solve for C, we have
C = 1.5
So, we have:
y = -2sin(x + 1.5) - 3
Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
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The answer is E histogram
Answer:
3,240
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
Based on the sample results of the population the percentage of population that prefers reading a hard copy i fht e digital copy is 4, the hard copy is 21 and n equas 25 is 84%
Step-by-step explanation:
From the above question we know that .
<u>Total number of population, n = 25</u>
Number of people who prefer to read a digital copy = 4
Number of people who prefer to read a hard copy = 21
As per the question we need to find out the percentage of population who prefer to read hard copy.
So we use the formula
<u>Percent of population preferring hard copy = Hard copy/Total*100</u>
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Percent of population that prefers hard copy = 21/25*100
Percent of population that prefers hard copy = 0.84 × 100 = 84%
<u>So , the percent of population who prefers to read a hard copy are about 84%.</u>
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