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Anarel [89]
3 years ago
11

Which of the following are true statements?

Mathematics
1 answer:
Alika [10]3 years ago
3 0

Answer:

I and II.

Step-by-step explanation:

Dot plots are charts that<em> represent data points on a simple scale using filled circles</em>. Stemplots allow <em>plotting data by dividing it into stems (largest digit) and leaves (smallest digits)</em>. Both dot plots and stemplots are like histograms since they allow to compare data relating to only one variable, and are used for continuous, quantitive data, highlighting gaps, clusters, and outliers.    

Histograms <em>use bars to represents amounts, with no space between the bars and </em>the height of the bars is proportional to the frequency or relative frequency of the represented amount. <u>We refer to the relative frequency of a case when this frequency is divided by the sum of all frequencies of the cases</u>. The proportionality between the height of the bar and the frequency is right when the width (interval) of the bar is the same for everyone, on the contrary, the area of the bar would be proportional to the frequency of cases.      

Therefore, of all the above, the correct statements are I and II. Statement III is incorrect because relative <em>heights </em>are proportional to relative <em>frequencies</em>.        

 

I hope it helps you!                    

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Determine the factors of 4x2 5x − 6 a(4x − 2)(x 3) b(4x − 3)(x 2) c (4x − 6)(x 1) d(4x − 1)(x 6)
Lelu [443]
4x^2 + 5x - 6 = (4x - 3) (x + 2)

You can do it by using the quadratic function to solve 4x^2 + 5x - 6 = 0; the result will be x = 3/4 and x = -2

Then you have to make (x- 3/4) = 0 and (x +2 ) = 0

When you develop x - 3/4 = 0 you get 4x -3 = 0, which means that 4x - 3 is a factor. The other factor is directly x + 2.

Answer: option b: (4x -3)(x + 2)
8 0
3 years ago
Read 2 more answers
How to find the hypotenuse of a right angled triangle using trigonometry?
Ghella [55]
It depends on whether you have "Perpendicular" or "base"
If you have perpendicular then, you can use the formula:
sin Ф = P / H

If you have base then, you can use the formula:
cos Ф = B/ H

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4 0
2 years ago
The answer is A the answer is a because it is asking how.....___________________________________________________________________
Dmitrij [34]
A was A for the fun of it also I’m just putting anything down cause I put no question
5 0
2 years ago
Solve the equation for all values of x in simplest form:<br> (x - 2)2 = 49
marin [14]
2x-4=49
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x is equal to 27
3 0
3 years ago
HELP PLEASE!!! 10 PTS!!
allsm [11]

Answer:

m∠DEC = 78°

Step-by-step explanation:

Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.

If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.

AC = AD                 (Given)

\angle ADC\cong \angle ACD

m\angle ADC=m\angle ACD

According to the angle sum property, the sum of interior angles of a triangle is 180°.

m\angle ADC+m\angle ACD+m\angle DAC=180

m\angle ACD+m\angle ACD+44=180

2m\angle ACD=180-44

2m\angle ACD=136

Divide both sides by 2.

m\angle ACD=68

CE bisects ∠ACD.

m\angle ACE=m\angle DCE=\dfrac{\angle ACD}{2}

m\angle ACE=m\angle DCE=\dfrac{68}{2}

m\angle ACE=m\angle DCE=34

Use angle sum property in triangle CDE,

m\angle CDE+m\angle DCE+m\angle DEC=180

68+34+m\angle DEC=180

68+34+m\angle DEC=180

102+m\angle DEC=180

Subtract 102 from both sides.

m\angle DEC=180-102

m\angle DEC=78

Therefore, the measure of angle DEC is 78°.

6 0
2 years ago
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