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Nonamiya [84]
3 years ago
14

I need the answer. Please help me . It’s due today

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

9514 1404 393

Answer:

  graph: lower right

  π units to the right of the graph of f(x)

Step-by-step explanation:

The transformation of f(x) to f(x-h) is a translation to the right by h units.

Here, the function f(x) = 1/2cos(x) is transformed to f(x-π) = 1/2cos(x-π), so is a translation of f(x) to the right by π units.

The graph of the translated function is shown below.

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Answer:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

Step-by-step explanation:

The first step is to write the temperatures in crescent order:

40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,

The sample minimum is the lowest value = 40

The sample maximum is the highest value = 84.

Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:

M = \frac{61+65}{2}\\ M=63

The first quartile is the average between the 3rd and 4th terms:

Q_1 = \frac{42+48}{2}\\ Q_1=45

The third quartile is the average between the 9th and 10th terms:

Q_3 = \frac{76+78}{2}\\ Q_3=77

Therefore, the answer is:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

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2 years ago
Explain why each table determine if y is proportional to x .
lesya692 [45]

Answer:

see explanation

Step-by-step explanation:

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k = \frac{4}{6} = \frac{2}{3}

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k = \frac{8}{12} = \frac{2}{3}

k = \frac{2}{3}

Since k is constant for all ordered pairs then y is proportional to x

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