Answer:
l=0.1401P\\
w =0.2801P
where P = perimeter
Step-by-step explanation:
Given that a window is in the form of a rectangle surmounted by a semicircle.
Perimeter of window =2l+\pid/2+w

Or 
To allow maximum light we must have maximum area
Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle


Hence we get maximum area when i derivative is 0
i.e. 

Dimensions can be

Answer:
x = -5/7
Step-by-step explanation:
8/(x+3)=1/(x+1)
Using cross products
8*(x+1) = 1*(x+3)
Distribute
8x+8 = x+3
Subtract x from each side
8x-x +8 = x+3-x
7x +8 =3
Subtract 8 from each side
7x+8-8 = 3-8
7x = -5
Divide by 7
7x/7 = -5/7
x = -5/7
Answer:
y = 5x-1
Step-by-step explanation:
parallel lines have the same slope.
y intercept: -1
slope: 5
- 1 is the same as +-1
so, y = 5x-1
Answer:
The <u>sample proportion</u>, denoted by ^p, is given by the formula ^p=
, where x is the number of individuals with a specified characteristic in a sample of n individuals.
Step-by-step explanation:
Sample proportion is used to determine sample mean, sample standard error and test the hypotheses about the population.
<em>sample mean</em> can be stated as p and <em>sample standard error</em> can be found using the equation
where
- p is the sample proportion
And if n×p×(1-p)≥10, then sample is assumed large enough to assume normal distribution and apply statistical test.
Answer:
21 plants are in the garden
Step-by-step explanation:
here , base = 7 m
height = 24 m
Thus , The area of the triangle (garden ) is 84 m ²
he wants 4 plants for each square meter of area.
therefore , for 84 m ² number of plants are
i.e 21 plants
hence , 21 plants are in the garden