Answer:
Step-by-step explanation:
Given that a research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1096 and x=542 who said yes.
i.e. sample size = 
who said yes =
Sample proportion = 
Std error of proportion = 
Margin of error 95% 
Hence confidence interval for proportions
=
a) Point estimate 
B) Margin of error = 
C) Conf interval = 
D) We are 95% confident that for large random samples representing the population, the proportion of yes will lie between these two values.
<u>Given:</u>
It is given that the ridge is 360 inches tall.
<u>Assumptions:</u>
Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is 
inches.
The distance from your eye level to the bottom of the ridge is 427 inches.
Assume the angle A is 60°.
<u>To find the distance from you to your dog.</u>
<u>Solution:</u>
A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.
Assume the hypotenuse of the triangle measures x inches.
To determine the length of the hypotenuse, we determine the cos of the angle.
So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.
Answer:
b ≈ 101.52
Step-by-step explanation:
Given two sides and the angle between, the Law of Cosines is useful.
b^2 = a^2 +c^2 -2ac·cos(B)
b^2 = 105^2 +9^2 -2·105·9·cos(65°) ≈ 10307.251
b ≈ √10307.251
b ≈ 101.52
