Answer:
Step-by-step explanation:terms that are similar for some reason
We are given the following variables:
μ = the sample mean = 152 pounds
σ = the standard deviation = 26 pounds
x = the sample value we want to test = 180 pounds
n = the sample size = unknown
MOE = margin of error = 4% = 0.04
Confidence level = 96%
The first thing we can do is to find for the value of z
using the formula:
z = (x – μ) / σ
z = (180 – 152) / 26
z = 1.0769 = 1.08
Since we are looking for the people who weigh more than
180 pounds, therefore this is a right tailed z test. The p value is:
p = 0.1401
Then we can use the formula below to solve for n:
n = z^2 * p * (1 – p) / (MOE)^2
n = 1.08^2 * 0.1401 * (1 – 0.1401) / (0.04)^2
n = 87.82 = 88
Therefore around 88 people must be surveyed.
As what I can observe, the pathway can be formed with 2 right triangles. Thus, I'll get the area of the 2 right triangles and multiply its area by the paving cost per square meter.
Area of Right Triangle: ab / 2
a = 6 2/3 m ⇒ 20/3 m; b = 3m
Area of 1 triangle= (20/3 m * 3 m) ÷ 2 = 20 ÷ 2 = 10 m²
Area of 2 triangles = 10m² * 2 = 20 m²
Total cost = $40 * 20m² = $800
Simply cross multiply the proportion of
6/27= x/81 do 6•81 divided my 27 for your answer which is 18
