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Roman55 [17]
2 years ago
10

Find all solutions of the equation in the interval [0, 2π). cotθ+ √3= 0

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
5 0

Answer:

  {5π/6, 11π/6}

Step-by-step explanation:

Since you have memorized the trig values of common angles, you know tan(π/6) = 1/√3, so cot(π/6) = √3.

The solution to this equation is ...

  cot(θ) = -√3

so θ = -π/6 or, in the domain of interest, 11π/6. There is a corresponding quadrant II angle, 5π/6.

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In your own words, describe to someone who knows only a little statistics how to recognize when an observation is an outlier. Wh
erik [133]

Answer:

B)

Step-by-step explanation:

In statistics, an outlier is a data point that differs significantly from other observations.

This can happen because of different reasons: it may be due to variability in the measurement or it may indicate an actual experimental error. If it is an actual experimental error then it  can create problems when doing the statistical analysis.

A) We can say that this is true, the outliers are observed values far from the other data, however we can make a much deeper analysis of this.

B) This is the right answer, since we don't know what is really causing the outlier, we need to take a closer look to see if they are just mistakes (and therefore be removed). If they are not mistakes we need to do the analysis with and without them to reach correct conclusions.

C) this is wrong because although the part of the histogram is true. It is not true that they should be ignored.

d) The outliers differ significantly from the other data but this doesn't make them the minimum and maximum values in a data set and therefore they should not be treated as such.

Therefore, the correct answer is B)

3 0
3 years ago
Find the value of x and z
Kay [80]

Answer:

3

Step-by-step explanation:

5 0
3 years ago
Multiply y^2-16/2y . 5y/y-4
alisha [4.7K]
So, first we multiply the fraction by using the formula a/b times c/d= a times c/b times d
=(y^2-16) times 5y/2y(y-4)
Now, we cancel the common factor y
=(y^2-16) times 5/2(y-4)
Now, we factor 5(y^2-16)
We factor (y^2-16) first
y^2-16
Rewrite 16 as 4^2
y^2-4^2
Now, apply the formula x^2-y^2=(x+y)(x-y)
=y^2-4^2=(y+4)(y-4)
=5(y+4)(y-4)
=5(y+4)(y-4)/2(y-4)
Cancel the common factor y-4
=5(y+4)/2
Answer: 5(y+4)/2



5 0
3 years ago
Which graph shows the solution set of the compound inequality or 1.5x-1 > 6.5 or 7x+3 < -25 ?
Dmitry [639]
1.
<span>1.5x-1 > 6.5 
1.5x>1+6.5
</span>1.5x>7.5, divide by 1.5

x>5, is represented by the region to the right of the vertical line x=5 

2. 

<span>7x+3 < -25
7x<-25-3
7x<-28, divide by 4:

x<-4

</span>x<-4, is represented by the region to the left of the vertical line x=-4

Answer: check the picture

6 0
2 years ago
Read 2 more answers
I need with explanation ​
Vitek1552 [10]

Which of the following (1, 16, 27, 81) is not a square number?

5 0
2 years ago
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