Answer:
difference in area = 16 ft²
if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft
if you use 13 the difference i length will be 25 - 18 = 7 ft
Step-by-step explanation:
Jacks rectangular patio
width = a
length = 2a - 1
area = lw
where
l = length
w = width
area = 120 ft²
a(2a - 1)
2a² - a - 120 = 0
 (a - 8) (2a + 15)
a = 8 or -15/2
Ron's rectangular patio
width = a
length = a + 5
area = lw
area = 104 ft²
a (a + 5) = 104
a² + 5a -104 = 0
(a + 8)  (a - 13)
a = -8 or 13
How many square feet longer is jack patio longer than Ron's patio is the difference in their area. Therefore,
120 - 104 = 16 ft²
The value 8 or 13 can be used for a since the width a have to be the same. 
if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft
if you use 13 the difference i length will be 25 - 18 = 7 ft
 
        
             
        
        
        
Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:


To find:
P(X> 30) 
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5,  = 25,
 = 25,  = 3.536
 = 3.536
Using the z test statistics;



z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
 P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06
 
        
             
        
        
        

and surely you know how much that is.
 
        
             
        
        
        
Answer:
40 2/5Ibs or  lbs
 lbs
Step-by-step explanation:
Let weight of object on the moon be represented = Wm
weight of object on the Earth = We
In the above question, we are told:
The weight of an object on the moon is
5 of its weight on Earth. 
Hence, mathematically, this is represented as:
  5Wm = We
If a moon rock weighs 202 lbs on Earth
5Wm = 202lbs
Wm = 202lbs/5
Wm =  Ibs
Ibs
Therefore, the moon rock weighs  Ibs on the moon.
Ibs on the moon.
 
        
             
        
        
        
<u><em>Hey There!</em></u>
<u><em>Perimeter=L+W×2</em></u>
<u><em>Perimeter=150+50×2</em></u>
<u><em>Perimeter=200×2</em></u>
<u><em>Perimeter=400</em></u>