In mathematics. central tendency is the tendency of data values to cluster around some central value. What does a measure of variability tell you about the central tendency of a set of data. Explain.

Answers

Answer 1

Answer:

Answer:

Measures of variability would describe how the central tendency is influenced by the data. Since the central tendency is the tendency of data values to cluster around some central value, then measures of variability would show how strong the central tendency is.

Hope this helps!

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What does 2(x+3)+(4x-5) equal?

Answers

Answer:

6x+1

Step-by-step explanation:

Open parenthesis:

2x+6+4x-5

Combine like terms:

6x+1

Describe and correct the error(s) made in each of the problems below. 1−x / (5−x)(−x)=x−1 / x(x−5)

5/s+2/5=2/s

Answers

Answer:

$\displaystyle (1-x)/((5-x)(-x)) =-(x-1 )/( x(x-5))$

$\displaystyle (5)/(s)* (2)/(5) =(2)/(s)$

Step-by-step explanation:

Errors in Algebraic Operations

It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them

When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
Not to confuse product of fractions with the sum of fractions. Rules are quite different

The first expression is

$1-x / (5-x)(-x)=x-1 / x(x-5)$

Let's arrange into format:

$\displaystyle (1-x)/((5-x)(-x)) =(x-1 )/( x(x-5))$

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

$\displaystyle (1-x)/((5-x)(-x)) =-(x-1 )/( x(x-5))$

Now for the second expression

$5/s+2/5=2/s$

Let's arrange into format

$\displaystyle (5)/(s)+(2)/(5) =(2)/(s)$

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been

$\displaystyle (5)/(s)* (2)/(5) =(2)/(s)$

What shape best describes the cross section cut at an angle to the base of a right rectangular prism

Answers

Answer:

Parallelogram.

Step-by-step explanation:

A rectangular prism has a rectangle as its base . A rectangle is a parallelogram with all angles 90 degrees and opposite sides of equal length.

When we cut a cross section is cut at an angle to the base of a right rectangular prism the shape is that of a parallelogram. A parallelogram has opposite sides parallel and equal.

The answer is parallelogram

Determine whether each pair of triangles is similar. justify your answer

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Yes the two pairs of triangles are similar. They both have the same measurements. The only difference is that one triangle is flipped upside down

What is the slope of line m? PLEASE HELP !!!

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slope=rise/run

se how many units it goes up and how many units it goes to the right

from (-3,0) to (0,6), it goes up 6 units total and goes 3 units to right therefor
6/3=2=slope
slope=2
or the longer way is
slope=(y2-y1)/(x2-x1)
slope=(6-0)/(0-(-3))=6/(0+3)=6/3=2

slope=2

. A referee was standing on a certain yard line as the first quarter ended. He walked 41 3/ 4 yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line?

Answers

Answer: The referee was 29.125 yards from the nearest goal line.

Step-by-step explanation:

Since we have given that

Length of line = 100 yards

Let the x be the distance at the end of quarter nearest goal line .

According to question, He walked 41 3/ 4 yards to a yard line with the same number as the one he had just left.

So, it becomes,

$100-2x=41(3)/(4)\n\n100-2x=(167)/(4)\n\n-2x=(167)/(4)-100\n\n-2x=(167-400)/(4)\n\n-2x=-(233)/(4)\n\nx=(233)/(4* 2)\n\nx=(233)/(8)\n\nx=29.125\ yard$

Hence, the referee was 29.125 yards from the nearest goal line.

100 yards minus 41 3/4 which is 58 1/4 divided by 2 which is 29 1/2

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