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Bess [88]
2 years ago
9

At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students wa

s taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college?
Mathematics
1 answer:
77julia77 [94]2 years ago
6 0

Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits             credits

----------     =      ----------

students          students

14      ?

---- = -----

1         138

14 times 138

1932 credit hours

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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

  • Minimum = -1
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The amplitude (A) is calculated as:

A = 0.5 * (Maximum - Minimum)

So, we have:

A = 0.5 * (-5 + 1)

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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

Read more about sinusoidal function at

brainly.com/question/10700288

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Answer:

Therefore the number of brown shells in each necklace was  = 2 brown shells.

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