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3 years ago

What is value of sin2npi

1 answer:

7 0

$n=0\to\sin(2\cdot0\pi)=\sin0=0\\\\n=1\to\sin(2\cdot1\pi)=\sin2\pi=0\\\\n=2\to\sin(2\cdot2\pi)=\sin4\pi=0\\\vdots\\\sin2n\pi=0\ for\ n\in\mathbb{Z}$

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3 years ago

CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. 39 41 25 17 48

zaharov [31]

Answer:

Mean = 31.22

Midrange = 28.50

Geometric mean = 28.74

Trimmed mean = 31.56

Step-by-step explanation:

Given the data :

39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44

Ordered data :

9, 11, 17, 17, 17, 17, 20, 23, 24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42, 43, 43, 44, 44, 46, 47, 48, 48

The mean, xbar :

Xbar = Σx / n = 999 / 32 = 31.22

The midrange : (maximum - minimum) / 2

Midrange = (48 + 9) / 2 = 57 / 2 = 28.5

Geometric mean :

(x1*x2*.. xn)^1/n

Geometric mean = (x1*x2*.. xn)^1/32 = 28.74

24% trimmed mean :

24% of 32 = 0.24 * 32 = 7.68 ; this mean cutting off 8 values from the top and bottom and calculating the mean of the remaining values.

Data left :

24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42

Σx / n = 505 / 16 = 31.5625

Trimmed mean = 31.56

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3 years ago

The mean spent on lottery tickets is normally distributed with a mean of $6.50 and a standard deviation of $2.25. If one custome

Natasha_Volkova [10]

First, we have to find the z scores of $4 and $9.50.
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Z₂ = ($9.50 - $6.50)/$2.25 = 1.33

Then, using a z score table, we find the probability of 1.33 and -1.11, and subtract them to determine the probability in between.
0.9082 - 0.1335 = 0.7747 or 77.47%.

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3 years ago

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3 years ago

The value of the correlation coefficient is always in the range<br> a. 0 to 1 b. 1 to 1 c. 1 to 0

dlinn [17]

Answer:

-1 to 1

Step-by-step explanation:

The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.

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3 years ago