S the interquartile range of this data?

6

8

9

20

Box-and whisker plot titled Number of Coins in Collection with five-number summary from left to right 7, 16, 30, 36, 38.

We have been given the 5-number summary of a box plot that represents Coins in Collection. The five-number summary from left to right is 7, 16, 30, 36, 38.

We are asked to find the inter-quartile range of the given data.

We know that interquartile range is difference of upper quartile and lower quartile.

We know that the 5-point summary represents the lower data point, lower quartile, median, upper quartile and upper data point respectively.

We can see from our given 5 point-summary that lower quartile is 16 and upper quartile is 36.

Therefore, the interquartile range of the given data is 20 and last option is the correct choice.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180