Alan bowls one game, which consists of 10 frames. the number of pins he knocked down in each frame is 5, 6, 7, 5, 7, 9, 2, 4, 8, and 7. which measure should alan use to learn the difference of the greatest and the least number of pins he knocked down? range interquartile range median mode

Step-by-step explanation:

It is given that the given data set is:

5, 6, 7, 5, 7, 9, 2, 4, 8, and 7.

In order to find the the difference of the greatest and the least number of pins, first arrange the given data set in ascending order, we have

2, 4, 5, 5, 6, 7, 7, 7, 8, 9

Now, we use the range in order to find the difference of the greatest and the least number of the given data set,thus by the definition of the range, we have

Therefore, Alan use range to learn the difference of the greatest and the least number of pins he knocked down which is equal to 7.

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true