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Marina CMI [18]
2 years ago
10

find the following quotient. when appropriate, round your answer to the nearest hundredth Divide 0 by 12

Mathematics
1 answer:
vaieri [72.5K]2 years ago
3 0

Answer: 0/12 would be 0; 12/0 would be undefined

Step-by-step explanation: 0/12 is 0 because properties of zero; 12/0 is undefined because of properties of zero.

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Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was
Ivan

Answer: \pm0.1706

Step-by-step explanation:

Given : Sample size : n= 33

Critical value for significance level of \alpha:0.05 : z_{\alpha/2}= 1.96

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Standard deviation : \sigma= 0.5

We assume that this is a normal distribution.

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i.e. E=\pm (1.96)\dfrac{0.5}{\sqrt{33}}=\pm0.170596102837\approx\pm0.1706

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The vectors x and y are unit vectors that make and angle of 30 degrees with each other. Calculate the value of | 2x + y | and th
ICE Princess25 [194]

Answer: the value of | 2x + y | = 1.39

the direction of 2x + y = 21° 

Step-by-step explanation:

Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.

Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.

Therefore 

2x-y=

2< 1,0 > - < cos(30),sin(30) >

=<2-(√2)/2, 0-1/2>

and

|2x-y|=√((2-(√2)/2)² + (-1/2)^2)

=1.3862 

Therefore the value of | 2x + y | = 1.39

=atan((-1/2)÷(2-(√2)/2))

=atan(1.29289/-0.5)

=-0.369 radians

= -21.143° 

Therefore the direction of 2x + y is

21° 

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