Answer:
The width is: 
The length is 
Step-by-step explanation:
The given rectangle has area given algebraically by the function:

The width of the rectangle is the greatest common factor of
,
and 
That is the width is: 
We now divide the area by the width to obtain the length of the rectangle:

This simplifies to:


<u>Answer:</u>
The marked price of the article is 22,600
<u>Explanation:
</u>
Given, selling price of an article SP = Rs. 18080
To calculate marked price MP, the formula used is

Discount D = 20%
Substituting the given values
SP = 
18080 = 


MP = Rs. 22,600
Therefore the marked price of the article is 22,600
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
Answer:
Option A , should not be rejected
Step-by-step explanation:
From the question we are told that:
Sample 1 
Standard deviation 1 
Sample 2 
Standard deviation 2 
Level of confidence 
Generally The Hypothesis are given as


Generally the equation for test Statistics is mathematically given by



Therefore
Critical Value


Where

Therefore


From Table


Therefore

Hence,We fail to reject the Null Hypothesis 
Option A , should not be rejected
Answer:
Milk consumed in 30 days = (30 days)(3.25 litres/day) = 97.5 litres
Step-by-step explanation:
You are given a rate at which the milk is consumed (3.25 litres per 1 day). This is just multiplied by the 30 days to get your answer.