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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I would believe it to be 22
Answer:
Step-by-step explanation:
a)
Confidence interval in less than symbol expressed as
Where 
is sample mean and 
is margin of error.
b)
The given t interval is 
That is 
and 
Solve these two equation by adding together.
Solve this value of \bar{x} in equation and solve for
Best point estimate of 
Best point estimate of margin of error = 0.193
c)
Since sample size = 100 which is sufficiently large (Greater than 30) , it is no need to confirm that
sample data appear to be form a population with normal distribution.
Answer:
<em>2.5</em>
Step-by-step explanation:
A direct variation equation has the form y = kx, where k is the constant of proportionality.
In this case, the constant of proportionality is 2.5.
Answer:
135%
Step-by-step explanation:
To represent a decimal to percentage, multiply by 100
1.35 x 100 = 135
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