250 employees in an organization were surveyed, and the following data was collected about their hair color and height: which inference can be made from this two-way table? a. being above 180 centimeters and having black hair are independent of each other. b. being above 180 centimeters is dependent on having black hair. c. having black hair is dependent on being above 180 centimeters. d. being above 180 centimeters and having black hair are the same. hair color height less than 175 cm 175-180 cm above 180 cm total black 38 32 30 100 brown 27 24 19 70 blonde 21 33 26 80 total 86 89 75 250

Option: A is the correct answer.

     A. Being above 180 centimeters and having black hair are independent of each other.

Height :         Less than  175 cm  175-180 cmAbove 180 cm     Total

Hair  Color

   Black                    38                        32                  30               100

  Brown                    27                        24                  19                70

  Blonde                    21                        33                  26                80

  Total                    86                89                  75                250

Two events A and B are said to be independent if:

else they are dependent.

A)

Being above 180 centimeters and having black hair are independent of each other.

Let A denote Black hair

and B denote above 180 cm.

and

This means that:

Also,

Since,

Hence, events A and events B are independent.

        Hence, option: A is correct.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.