Asurvey of the students in lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it should remain the same. the margin of error of the survey is ±10%.
according to the survey data, at least
% of students want the duration of the school year to remain unchanged, and at least
% want the school year to be lengthened.

According to the survey data:

at least  32% of students want the duration of the school year to remain unchanged, and

at least  48% want the school year to be lengthened.

Margin of error--

The margin of error is the small amount that leads to the miscalculation of some value.

We are given that:

The margin of error of the survey is ±10%.

  Hence, due to the margin of error the percent of students who want school year to be lengthened lie between:

              (58-10)% to  (58+10)%

               i.e. 48% to 68%.

Similarly,

Hence, due to the margin of error the percent of students who want school year to remain same lie between:

              (42-10)% to  (42+10)%

               i.e. 32% to 52%.

(23*2)-12=x     x=34

step-by-step explanation:

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.