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AysviL [449]
4 years ago
13

Which of the following is proper notation to describe the set of all letters in the alphabet?

Mathematics
1 answer:
Montano1993 [528]4 years ago
4 0
CAll the set \alpha then:
\alpha=\{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z\}
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If tan x =8/15 and 0°<x<90°,find the value of cos x​
Shtirlitz [24]

9514 1404 393

Answer:

  15/17

Step-by-step explanation:

cos(arctan(8/15)) = 15/17

__

You could assume the ratio values 8 and 15 represent the opposite and adjacent sides of a right triangle. Then the hypotenuse is ...

  h = √(8² +15²) = √289 = 17

The cosine is the ratio of the adjacent side to the hypotenuse, so is ...

  cos(x) = 15/17

6 0
3 years ago
A study of the career paths of hotel general managers sent questionnaires to an SRS of 280 hotels belonging to major U.S. hotel
const2013 [10]

Answer and Step-by-step explanation:

we have the following data:

Point estimate = sample mean = \ bar x = 12.39

Population standard deviation = \ sigma = 3.7

Sample size = n = 177

a) the margin of error with a 90% confidence interval

α = 1 - 90%

alpha = 1 - 0.90 = 0.10

alpha / 2 = 0.05

Z \ alpha / 2 = Z0.05 = 1,645

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 1.645 * (3.7 / \ sqrt177)

Outcome:

E = 0.46

b) margin of error with a 99% confidence interval

α = 1-99%

alpha = 1 - 0.99 = 0.01

alpha / 2 = 0.005

Z \ alpha / 2 = Z0.005 = 2,576

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 2,576 * (3.7 / \ sqrt177)

Outcome:

E = 0.72

c) A larger confidence interval value will increase the margin of error.

6 0
3 years ago
What is the slope of the line?
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The slope of the line is 2
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Write this number in word form 890,704
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Answer: eight hundred ninety thousand, seven hundred four

8 0
3 years ago
Which of the following can be represented by coordinates x comma y?
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There is not anything to use to answer with. i cannot provide any information to help since there is nothing to use
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