Answer:8
Step-by-step explanation:(
x
+
4
)
2
+
(
y
−
7
)
2
=
64
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
8
h
=
−
4
k
=
7
The center of the circle is found at
(
h
,
k
)
.
Center:
(
−
4
,
7
)
These values represent the important values for graphing and analyzing a circle.
Center:
(
−
4
,
7
)
Radius:
8
Given that the sample mean is μ=74 and sample standard deviation σₓ=
.
Thge Z- score is 
.
Now we use the Z-score to calculate the required probability.
Refer to standard normal distribution table.
The required probability is
The frequency of the periodic function is given by: 0.0796.
<h3>What are the period and the frequency of a function?</h3>
- The period of a function is given by the <u>distance between it's repetitions</u>.
- The frequency of a function is found <u>dividing one by the period</u>.
From the graph, we have that the period is of 4pi hours, hence the frequency is:
f = 1/4pi = 0.0796.
More can be learned about periodic functions at brainly.com/question/27894133
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