For a particular list of four distinct integers the mean, median and range have the same value. if the least integer in the list is 10, what is the greatest value for an integer in the list?

The greatest value = 30

Step-by-step explanation:

Let the greatest value in the given 4 integers be x.

So, the least integer is 10 and the greatest integer is x.

Let the remaining two integers be 'a' and 'b'.

Now,

Mean =

Median = Average of 2nd and 3rd observations

=

Range = x - 10

From the given information,

Mean = Median = Range

Therefore,

From the first two ratios,

10 + a + b + x = 2a + 2b

or,

a + b = 10 + x        --- (1)

From the last two ratios,

a + b = 2x - 20      --- (2)

From (1) and (2),

10 + x = 2x - 20

10 + 20 = 2x - x

x = 30

Hence, the greatest value = 30

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.