Answer:

Step-by-step explanation:
-Given the boundaries as 0.412 and 0.878
-
is the point estimate for the population proportion and is calculated as follows:

#The margin of error, ME can be calculated for the confidence intervals using the formula:

#The number of individuals in the sample is the product of the point estimate and population size:

Hence, there are 645 individuals in the sample.
Answer:

Step-by-step explanation:
Since opposite and adjacent is given, we will use tan as trigonometric ratio.
Hence,
opposite = x , adjacent = 14 and
= 28
So,

tan 28 = x / 14
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
(1/4)=0.25
0.25*0.25*0.25=0.015625
<span>Consider a angle â BAC and the point D on its defector
Assume that DB is perpendicular to AB and DC is perpendicular to AC.
Lets prove DB and DC are congruent (that is point D is equidistant from sides of an angle â BAC
Proof
Consider triangles ΔADB and ΔADC
Both are right angle, â ABD= â ACD=90 degree
They have congruent acute angle â BAD and â CAD( since AD is angle bisector)
They share hypotenuse AD
therefore these right angle are congruent by two angle and sides and, therefore, their sides DB and DC are congruent too, as luing across congruent angles</span>
36 divided by 2 = 18 and 18 + 24 = 42