The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Mr. Ellis has started a vegetable garden.
He bought 15 bags of soil and 3 bags of fertilizer for 282.72.
He realized he did not have enough supplies so he bought another 5 bags of soil and 2 bags of fertilizer for 107.23.
Let the cost of each bag of soil be x and the cost of a bag of fertilizer be y.
Then we have the linear equations,
15x + 3y = 282.72
5x + 2y = 107.23
On solving the equations 1 and 2, we have
x = 16.25 and y = 12.99
The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.
More about the linear system link is given below.
brainly.com/question/20379472
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Answer:
The test statistics is 
The p-value is 
Step-by-step explanation:
From the question we are told
The West side sample size is 
The number of residents on the West side with income below poverty level is 
The East side sample size 
The number of residents on the East side with income below poverty level is 
The null hypothesis is 
The alternative hypothesis is 
Generally the sample proportion of West side is
=> 
=> 
Generally the sample proportion of West side is
=> 
=> 
Generally the pooled sample proportion is mathematically represented as
=> 
=> 
Generally the test statistics is mathematically represented as
![z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5C%5E%20%7Bp%7D_1%20-%20%5C%5E%7Bp%7D_2%7D%7B%5Csqrt%7Bp%281-%20p%29%20%5B%5Cfrac%7B1%7D%7Bn_1%20%7D%20%2B%20%5Cfrac%7B1%7D%7Bn_2%7D%20%20%5D%7D%20%20%7D)
=> ![z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%200.1315%20%20-%200.1628%20%7D%7B%5Csqrt%7B0.1485%281-0.1485%29%20%5B%5Cfrac%7B1%7D%7B578%7D%20%2B%20%5Cfrac%7B1%7D%7B688%7D%20%20%5D%7D%20%20%7D)
=>
Generally the p-value is mathematically represented as
From z-table
So
The area of a parallelogram is equal to the base times the height.
In terms of algebra
A = b*h
We know the base is b = 8.2,the area is A = 65.6, though we don't know the height h. We can use algebra to solve
A = b*h
65.6 = 8.2*h
8.2*h = 65.6
8.2*h/8.2 = 65.6/8.2 <--- divide both sides by 8.2
h = 8
The height of the parallelogram is 8 inches
