Susan was thinking of a number that when she multiplies it by two and then divides that result by 4, then multiplies that result by itself, gives her a number

that when she subtracts 6 and then divides by 10, gives her the number 3. The

number Susan was originally thinking of was

-4

Step-by-step explanation:

Let the number be x

If she multiplies the number by 2, it will become 2x

If divided by 4, it will be 2x/4, if she multiplies the result by itself, we will have:

2x/4(2x/4) = 4x/16

If she subtract the original number from 6 and divide by 10, we will have;

x-6/10

Equating both expressions

4x/16 = x-6/10

Cross multiply

4x(10)= 16(x-6)

40x =16x-96

40x-16x = -96

24x = -96

x = -96/24

x = -4

Hence the number is -4

two data sets with the same median will not have the same varaibility

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x