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kotegsom [21]
2 years ago
7

A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have.

The dot plots below show the results.
.
Students
A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9.
.
Teachers
A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9.
.
Based on the shape of the two dot plots, which statements correctly compare them? Select three choices.
.
The center of the data for students has a value less than that of the center of the data for teachers.
.
The center of the data is to the right of the dot plot for both teachers and students.
.
There is a greater variation in the data for teachers than for students.
.
Both sets of data cluster around 2.
.
The same number of teachers as students were surveyed.
Mathematics
2 answers:
kvasek [131]2 years ago
8 0

Answer:

The center of the data is to the right of the dot plot for both teachers and students.

There is a greater variation in the data for teachers than for students.

The center of the data for students has a value less than that of the center of the data for teachers.

Step-by-step explanation:

vivado [14]2 years ago
7 0

Answer:

A: The center of the data for students has a value less than that of the center of the data for teachers

C: There is a greater variation in the data for teachers than for students

E: The same number of teachers as students were surveyes

Step-by-step explanation:

edg2021 (Other person is wrong)

The center of value for students is more the left which is smaller. For both they are clustered closer to the left side, NOT the right. The teachers have more variation taking up more of the number line. There is no cluster around 2 for the teachers. Both teachers and students have 20 people surveyed.

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A rectangular piece of land is 40m long and 25m wide. A path of uniform width and 426 m^2 area sorrounds
fredd [130]

Answer:

Width of the uniform path that surrounds the piece of land = 3 m

Step-by-step explanation:

Let the width of the path that surrounds the piece of land be x.

The situation described is sketched in the attached image to this solution.

The dimension of the Length of the piece of land including the uniform path that surrounds it = (40 + 2x) m

The Breadth of the piece of land including the uniform path that surrounds it = (25 + 2x) m

The area of the piece of land including the uniform path that surrounds it

= (Area of the piece of land) + (Area of the uniform path that surrounds it)

Area of the piece of land = Length × Breadth = 40 × 25 = 1000 m²

Area of the uniform path that surrounds it = 426 m² (Given in the question)

The area of the piece of land including the uniform path that surrounds it = 1000 + 426 = 1426 m²

But the area of the piece of land including the uniform path that surrounds it is also

= (Length of the piece of land including the uniform path that surrounds it) × (Breadth of the piece of land including the uniform path that surrounds it

= (40 + 2x) + (25 + 2x)

= 1000 + 80x + 50x + 4x²

= (4x² + 130x + 1000) m²

Equation these 2 areas

4x² + 130x + 1000 = 1426

4x² + 130x - 426 = 0

Solving the quadratic equation

x = 3 or -35.5

Since the width cannot be negative,

x = 3 m

Hope this Helps!!!

7 0
2 years ago
What are the coordinates of the image of vertex R -3,4 after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)
Feliz [49]
The coordinate of the image after being reflected is R(3,4).

When dealing with reflection of a line or shape or a figure in the coordinate plane, especially if it is reflected across the y- axis, you just have to give the opposite of the given (original) x- coordinate in order to give a symmetric figure.
7 0
2 years ago
Read 2 more answers
A paint shop stocks 1800 liters of paint 24% of the paint is white. The shops sells 18% of the white paint and 7% of the rest of
Anuta_ua [19.1K]

Answer:The amount of paint that was sold altogether is 173.36 litres

Step-by-step explanation:

The total amount of paint that the paint shop stocks is 1800 litres.

24% of the paint is white. It means that the amount of white paint would be

24/100 × 1800 = 0.24 × 1800 = 432 litres.

The amount of the remaining paint other than white would be

1800 - 432 = 1368 litres

The shops sells 18% of the white paint. This means that the amount of white paint sold by the shop will be

18/100 × 432 = 0.18 × 432 = 77.6 litres.

The shops sells 7% of the rest of the paint.

This means that the amount of the rest paint sold by the shop will be

7/100 × 1368 = 0.07 × 1368 = 95.76 litres.

The amount of paint that was sold altogether would be

77.6 + 95.76 = 173.36 litres

5 0
2 years ago
Which products result in a difference of squares? Select three options. A. (x minus y)(y minus x) B. (6 minus y)(6 minus y) C. (
solniwko [45]

Answer:

Step-by-step explanation:

Hello, please consider the following.

A. (x minus y)(y minus x)

  (x-y)(y-x)=-(x-y)(x-y)=-(x-y)^2

   This is not a difference of squares.

B. (6 minus y)(6 minus y)

   (6-y)(6-y)=(6-y)^2

   This is not a difference of squares.

C. (3 + x z)(negative 3 + x z)

   This is a difference of squares.

   \boxed{(3+xz)(-3+xz)=(xz+3)(xz-3)=(xz)^2-3^2}

D. (y squared minus x y)(y squared + x y)

   This is a difference of squares.

   \boxed{(y^2-xy)(y^2+xy)=(y^2)^2-(xy)^2}

E. (64 y squared + x squared)(negative x squared + 64 y squared)

   This is a difference of squares.

   \boxed{(64y^2+x^2)(-x^2+64y^2)=(64y^2+x^2)(64y^2-x^2)=(64y^2)^2-(x^2)^2}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
2 years ago
Read 2 more answers
Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner fo
erma4kov [3.2K]

Answer:

see below

Step-by-step explanation:

Company A f(x) = 15(7x)

Company B g(x) = 100x + 5

If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B

A = 105(2) = 210

B = 100(2) + 5 = 205   B costs less  False

f Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

A = 105(2) = 210

B = 100(2) + 5 = 205   B costs less  True

If Marguerite rents for 1 week, it will cost her the same at either company

A = 105(1) = 105

B = 100(1) +5 = 105   True

If Marguerite rents for 1 week, it will cost her more if she rents from Company A  

A = 105(1) = 105

B = 100(1) +5 = 105    False

h(x) = 5x – 5  

h(x) = f(x) – g(x)

      =15(7x) - ( 100x + 5)

      = 105x - 100x -5

      = 5x-5   True

h(x) = 5x + 5  False

3 0
2 years ago
Read 2 more answers
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