Consider the data below. 20, 40, 50, 50, 60, 80, 80, 80 Each value increases by 10. Determine whether each statement is true or false. The mean increases by 10. Response area. The median increases by 10. Response area The mode increases by 10. Response area

True

True

True.

All the statements are true.

Step-by-step explanation:

When the data values are increased by 10, the value of the mean, median and mode also increases by 10.

Kindly check the attached file for the workings.

The mean increases by 10.

The median increases by 10.

The mode increases by 10.

Step-by-step explanation:

Given the set of data

20, 40, 50, 50, 60, 80, 80, 80

Mean

=(20+40+50+50+60+80+80+80)÷8

=460 ÷ 8 =57.5

Median=(50+60)÷2=110÷2=55

Mode=80

If each value is increased by 10.

The new set of data will be:

30, 50, 60, 60, 70, 90, 90, 90

Their Mean

=(30+50+60+60+70+90+90+90)÷8

=540 ÷ 8 =67.5

Median=(60+70)÷2=130÷2=65

Mode=90

From the two calculations above, we can conclude that

The mean increases by 10.

The median increases by 10.

The mode increases by 10.

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.

she was supposed to add the hours(38.5) and multiply the amount of money she earned(7.50) resulting in $288.75 .

correct me if i'm wrong and if it is i'm truly sorry.