Add the sales tax from the discounted price
Answer:
$74.40
Step-by-step explanation:
Answer:
The ranger should walk <u>0.577 miles per hour</u> in order to decrease the time required to reach the car.
Step-by-step explanation:
Suppose the ranger reaches x miles from the end of the road which becomes the horizontal distance and the vertical distance is 1 miles. A right angle triangle can be obtained that shows the ranger walks along the hypothesis.
The distance left to reach the car is = 5 - x
To calculate total time taken, then the function becomes
In order to find the minimized time, differentiate the function T as follows
Equate the derivative to zero and obtained
Squaring both sides
The ranger should walk 0.577 miles per hour in order to decrease the time required to reach the car.
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.
The given info gives you two pairs of congruent angles.
Side RS is the included side. It is a side of both triangles, and it is congruent to itself. Since you now have side RS congruent to side RS, you can use ASA.