=743.5−462.87
=743.5+−462.87
=280.63
98.01+52.003
=150.013
74.9−16.227
=74.9+−16.227
=58.673
The correct answer is option A which is ZA = 3 cm
<h3>What is the triangle?</h3>
Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The triangle is shown below.
From the triangle, A is the concurrency point of angle bisectors of all vertices.
Consider ΔAYD,
Using the Pythagorean theorem,
AD² = AY² + YD²
5² = AY² + 4²
25 = AY² + 16
AY² = 25 - 16
AY² = 9
AY = √9 = 3 cm
Consider triangles ADY and ADZ.
∠AYD ≅∠AZD=90
∠ADY≅∠ADZ ( Angle bisector)
AD ≡ AD (common side)
The two triangles are congruent by the AAS postulate.
Therefore, by CPCTE, AY=ZA=3 cm
To know more about triangles follow
brainly.com/question/17335144
#SPJ1
Answer:
0 < p < 0.075
Step-by-step explanation:
Solution:-
According to the rule of three, when we have a sample size = n.
and x = 0 successes ( The lowest possible value of true population proportion ). Then we are 95% confident that the upper bound of the true population proportion is given by:
3 / n
If n = 40 couples use a method of gender selection and each couple has a baby girl, the the possibility of successes is zero. This calls on for the use of Rule of three to determine the upper bound for the true population of couple having a baby girl.
- The 95 % upper bound for true population proportion of all the babies born are girl is determined by:
p = 3 / n = 3 / 40
p ≈ 0.075
- The number of successes were = 0, hence the lower bound for the population proportion is 0 and the upper bound was calculated above. Hence,
0 < p < 0.075
- The range of true population proportion.
