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Nastasia [14]
3 years ago
6

The sine function is an odd function

Mathematics
2 answers:
Agata [3.3K]3 years ago
8 0
Sure the sin function is an odd function because sin (-Ф) = - sin (Ф)
Example: sin (- 30°) = - sin (30°) = -1/2

Dafna1 [17]3 years ago
3 0

Answer:

The given statement is true.

Step-by-step explanation:

We have been given a statement and we are supposed to determine whether our given statement is even or odd.

Statement: The sine function is an odd function.

We know that sine is symmetric about origin and \text{sin}(-x)=-\text{sin}(x). Therefore, sine is an odd function and our given statement is true.

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The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation
rjkz [21]

Answer:

Mean age: 48

Standard deviation: 4

Step-by-step explanation:

a) Mean

The formula for Mean = Sum of terms/ Number of terms

Number of terms

= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10

= 480/10

= 48

The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

The standard deviation of the ages is 4

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3 years ago
The members of the Student Activity Council on your campus are meeting to select two speakers for a​ month-long event celebratin
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On average, Makenzie runs 4 miles in 50 minutes. How fast should she plan to run a 10-mile race if
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Answer: A

Step-by-step explanation:

The easiest way to solve this problem would to first figure out how long it takes for Mak to run 1 mile. To do that, you would need to divide 50 by 4 which would give you 12.5. So, it takes Mak 12 and a half minutes to run 1 mile. From there, you would need to multiply 12.5 by 10 to get 125. Finally, you wold need to simplify 125 minutes to hours giving you 2 hours and 5 minutes.

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"8% of a number is 20."
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Step-by-step explanation:

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