The following table shows the probability of rolling the numbers 1 through 7 on a fair seven-sided die.

x 1 2 3 4 5 6 7
p(x) 1/7 1/7 1/7 1/7 1/7 1/7 1/7
what is the standard deviation of the random variable x, "the number that comes up on the die? "

What is the slope of the line that contains the points (-5, 6) and (14. - 7)?

Solve these problems: 1.what is the perimeter of an equilateral triangle with sides measuring 6cm? 2. a regular pentagon has sides measuring 3.2 cm. what is its perimeter? 3. a regular decagon has sides of 3.5mm . what is it’s perimeter? 4. a regular octagon has a perimeter of 64cm. what is the length of one of the sides? 5. a regular hexagon has a perimeter of 72mm . what is the length of one of the sides? 6. what is the perimeter of a rhombus with sides measuring 11m?

(50 points) drag each description to the correct location on the table. each description can be used more than once. some systems of equations and their graphs are given in the table. for each system, place the description(s) in the box that correctly describe the type of system shown. :