Adding a constant 3 to any random variable will change the mean by a value of what?

The mean goes up by 3/5 where 3 is the amount of the constant that was added divided by the total number of numbers.

Step-by-step explanation:

Let us suppose we have five number

Let us calculate the Mean of these numbers

The arithmetic mean is the sum of the values in the set divided by the number of elements in that set.

Let us suppose we add constant 3 to the variable 8

so

New Mean - Old Mean:

The mean goes up by 3/5 where 3 is the amount of the constant that was added divided by the total number of numbers.                      

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq