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Galina-37 [17]
4 years ago
14

What does Dilation mean

Mathematics
1 answer:
Gnesinka [82]4 years ago
3 0
A dilation is a transformation (notation) that produces an image that is the same shape as the original, but is a different size.
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Hans cellphone plan costs $200 to start. Then there is a $50 charge each month
Gnesinka [82]
Y=200+50x and x is how many months
4 0
3 years ago
The table shows the heights of 40 students in a class.
Studentka2010 [4]

Answer:

Step-by-step explanation:

Hello!

a)

The given information is displayed in a frequency table, since the variable of interest "height of a student" is a continuous quantitative variable the possible values of height are arranged in class intervals.

To calculate the mean for data organized in this type of table you have to use the following formula:

X[bar]= (∑x'fi)/n

Where

x' represents the class mark of each class interval and is calculated as (Upper bond + Lower bond)/2

fi represents the observed frequency for each class

n is the total of observations, you can calculate it as ∑fi

<u>Class marks:</u>

x₁'= (120+124)/2= 122

x₂'= (124+128)/2= 126

x₃'= (128+132)/2= 130

x₄'= (132+136)/2= 134

x₅'= (136+140)/2= 138

Note: all class marks are always within the bonds of its class interval, and their difference is equal to the amplitude of the intervals.

n= 7 + 8 + 13 + 9 + 3= 40

X[bar]= (∑x'fi)/n= [(x₁'*f₁)+(x₂'*f₂)+(x₃'*f₃)+(x₄'*f₄)+(x₅'*f₅)]/n) = [(122*7)+(126*8)+(130*13)+(134*9)+(138*3)]/40= 129.3

The estimated average height is 129.3cm

b)

This average value is estimated because it wasn't calculated using the exact data measured from the 40 students.

The measurements are arranged in class intervals, so you know, for example, that 7 of the students measured sized between 120 and 124 cm (and so on with the rest of the intervals), but you do not know what values those measurements and thus estimated a  mean value within the interval to calculate the mean of the sample.

I hope this helps!

4 0
4 years ago
Respuesta de la fracción 4 2/6
Fittoniya [83]
   _
4.3  o 4.3 repitiendo
6 0
4 years ago
The graph below shows the function f(x)=x-3/x2-2x-3. Which statement is true?
BARSIC [14]
1. Domain.

We have x^2-2x-3 in the denominator, so:

x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\&#10;(x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}

So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.

2. Asymptotes:

f(x)=\dfrac{x-3}{x^2-2x-3}=\dfrac{x-3}{(x-3)(x+1)}=\boxed{\dfrac{1}{x+1}}

We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)
6 0
3 years ago
Read 2 more answers
Which of the following grids correctly graphs the points A (3, 1), B (0, 3), and C (1, 3)? A. A coordinate plane has an x-axis f
cricket20 [7]

Answer:

Step-by-step explanation:

B. A coordinate plane has an x axis from 0 to 5 in increments of 1 and a y axis from 0 to 5 in increments of 1. Point A (3,1) is plotted 3 units to the right and 1 unit above the origin. Point B (0,3) is plotted 3 units above the origin. Point C (1,3) is plotted 1 unit to the right and 3 units above the origin.

7 0
3 years ago
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