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maria [59]
3 years ago
10

The upper quartile for the data set given below is . 14, 8, 23, 9, 11, 27, 22, 3, 17, 12, 29

Mathematics
1 answer:
sdas [7]3 years ago
6 0
The upper quartile is 23

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Write the equation of the perpendicular bisector of . Point B is located at (–3, 1), and point C is located at (1, 5).
maxonik [38]

The equation of perpendicular bisector of BC is

y=-x+2

Further explanation:

A perpendicular bisector passes through the mid-point of a line so to get an ordered pair from which the perpendicular bisector will pass we need to find the mid-point of BC.

Mid-point = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\\Here\\(x_1,y_1) = (-3,1)\\(x_2,y_2) = (1,5)\\Putting\ values\ in\ formula\\M = (\frac{-3+1}{2} , \frac{1+5}{2} )\\= (\frac{-2}{2} ,\frac{6}{2})\\= (-1, 3)

So the perpendicular bisector will pass through (-1,3)

Let m1 be the slope of BC

Then

m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{5-1}{1+3} \\=\frac{4}{4}\\ =1

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of perpendicular lines is -1.

m_1.m_2 = -1\\1*m_2 = -1\\m_2 = -1

The standard form of point-slope form of line is:

y=mx+b

Putting the value of slope of bisector we get

y=(-1)(x)+b\\y=-x+b

To find the value of b, put the ordered pair (-1,3) in the equation

3 = -(-1) +b\\3= 1+b\\3-1 =b\\b=2\\

Putting the values of m and b in standard form

y=-x+2

Hence the equation of perpendicular bisector of BC is

y=-x+2

Keywords: Perpendicular bisector, Point-slope form

Learn more about point-slope form at:

  • brainly.com/question/7490805
  • brainly.com/question/8358304

#LearnwithBrainly

6 0
3 years ago
Plz help <br> Dana sells tomatoes
insens350 [35]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
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Round to the nearest hundredth : 5.992​
denis23 [38]

Answer:

6

Step-by-step explanation:

8 0
3 years ago
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Help me with these math questions....
Nady [450]

Answer: cotθ

<u>Step-by-step explanation:</u>

 tanθ * cos²θ * csc²θ

=  \dfrac{sin\theta}{cos\theta} * \dfrac{cos\theta*cos\theta}{} *\dfrac{1}{sin\theta*sin\theta}

= \dfrac{cos\theta}{sin\theta}

= cotθ

Answer: B

<u>Step-by-step explanation:</u>

The parent graph is y = x²

The new graph y = -x² + 3 should have the following:

  • reflection over the x-axis
  • vertical shift up 3 units

Answers:

  • a. Quadrant II
  • b. negative
  • c. \dfrac{\pi}{6}
  • d. C
  • e.-\dfrac{\sqrt{3}}{3}

<u>Explanation:</u>

\dfrac{17\pi}{6} - \dfrac{12\pi}{6} = \dfrac{5\pi}{6}

a) Quadrant 2 is: \dfrac{\pi}{2} < \theta < \pi

b) In Quadrant 2, cos is negative and sin is positive, so tan is negative

c) \pi-\dfrac{5\pi}{6} = \dfrac{\pi}{6}

d) the reference line is above the x-axis so it is negative -->  -tan\dfrac{\pi}{6}

e) tan(\dfrac{5\pi}{6})=\dfrac{1}{-\sqrt{3}}=-\dfrac{\sqrt{3}}{3}


4 0
2 years ago
The angle of elevation from a point 25 feet from the base of a tree on level ground to the top of the tree is 30°. Find the heig
xz_007 [3.2K]
The answer is C it won’t let me do all the steps but I hope it helps
8 0
2 years ago
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