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Select the correct answer from each drop-down menu.

Martin and Clara decide to keep track of the number of different colors in two brands of tennis shoes, brand A and brand B. Their results are represented by the dot plots.

1)The mean absolute deviation for brand A is .

2)The mean absolute deviation for brand B is .

3)The mean absolute deviations for the two brands similar.

Choices for the lines:

1)1.905, 2.02, 4.9, 8,

2)1.905, 2.02, 5, 5.55

3)are not, are

1)4.9

2)5.55

3) are not

Step-by-step explanation:

Mean Absolute deviation (MAD) of a data is the average absolute deviation from mean. To calculate Mean absolute deviation we take sum of all the values in the data as numerator and no of values in the data set as denominator. In the given case the two brands of tennis shoes have different mean absolute deviation.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

80

step-by-step explanation: