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Alekssandra [29.7K]
2 years ago
15

Assertion - if the mean of five observations X, X+2, X+4, X+6, X+8 is 11 then,Mean of last 3 observations is 8. Reason - Range=

Max. Value - Min. Value. (a) Both A and R are true, and R is the correct explanation for A. b) Both A and R are true, and R is not the correct explanation for A. c) A is true but R is false. d) A is false but R is true. ​
Mathematics
1 answer:
FinnZ [79.3K]2 years ago
6 0
A is false but R is true (the mean of the last 3 values is not 8 since x=7)
You might be interested in
What is the solution to this equation?
kirill [66]
The correct answer for the problem above is -23 .

Explanation

1. collect the like terms

2x + x - 11 + 3 - 7x = 15
2x , x , & -7x are like terms
-11 & 3 are like terms

2x + x -7x = -4x
-11 + 3 = -8

2. Move constant to the right-hand side and change its sign .

-4x = 15 + 8
-4x = 23

3. Make the signs on both sides of the equation

-4x = 23 turning into 4x = -23

answer =

4x = -23



7 0
3 years ago
20 points! Will mark the brainliest!
andrew-mc [135]
\dfrac{ \dfrac{x+3}{4x^2-16} }{ \dfrac{2x^2+10x+12}{2x-4} }

-----------------------------------------------------------------------------------
Write the divide fraction horizontally:
-----------------------------------------------------------------------------------

= \dfrac{x+3}{4x^2-16} \div \dfrac{2x^2+10x+12}{2x-4}

-----------------------------------------------------------------------------------
Factorise the numerators and denominators when possible:
-----------------------------------------------------------------------------------

= \dfrac{x+3}{4(x+2)(x-2)} \div \dfrac{ 2(x + 3) (x + 2)}{2(x-2)}

-----------------------------------------------------------------------------------
Convert the divide fraction to multiplication fraction
-----------------------------------------------------------------------------------

= \dfrac{x+3}{4(x+2)(x-2)} \times \dfrac{2(x-2)}{2(x+3)(x+2)}

-----------------------------------------------------------------------------------
Cancel the factors
-----------------------------------------------------------------------------------
= \dfrac{1}{4(x+2)} \times \dfrac{1}{(x+2)}

-----------------------------------------------------------------------------------
Combine to single fraction
-----------------------------------------------------------------------------------

= \dfrac{1}{4(x+2)^2}



4 0
3 years ago
How to I make 3x+6y=18 into y=my+b
kirza4 [7]

Answer:


Step-by-step explanation:

3x+6y=18

Geometric figure: Straight Line

 Slope = -1.000/2.000 = -0.500

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/2 = 3

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :


                    3*x+6*y-(18)=0


Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :


  3x + 6y - 18  =   3 • (x + 2y - 6)


Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0


This equation has no solution.

A a non-zero constant never equals zero.


Equation of a Straight Line

2.2     Solve   x+2y-6  = 0


Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).


"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.


In this formula :


y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis


The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+2y-6  = 0 and calculate its properties


Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000


 y-intercept = 6/2  =  3

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000


 x-intercept = 6/1  =  6.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 3.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)


   Slope     = -1.000/2.000 = -0.500

Geometric figure: Straight Line

 Slope = -1.000/2.000 = -0.500

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/2 = 3


3 0
3 years ago
IF J is between C and T, find the value of x and JT. CJ=8x+5, CT=55, and JT=4x+2
just olya [345]

Answer:

<h2>x = 4</h2><h2>JT = 18</h2>

Step-by-step explanation:

Given three points J, C and T on a line, if J is between C and T then;

CJ + JT = CT.

Given CJ=8x+5, CT=55, and JT=4x+2, substituting this parameters in the equation above will give;

(8x+5)+(4x+2)= 55\\8x+4x+5+2 = 55\\12x+7 = 55\\12x = 55-7\\12x = 48\\ x = \frac{48}{12} \\x = 4

SInce JT = 4x+2

JT = 4(4)+2\\JT = 16+2\\JT = 18

4 0
3 years ago
I need help with this please
bixtya [17]

Answer:

i think it's c but I'm not 100% sure

7 0
3 years ago
Read 2 more answers
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