Given the figure below, find the values of x and z. 29 (8x + 37) • (10x - 1)
1 answer:
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Answer:
The rug should be 15 ft wide and 28 ft long.
Step-by-step explanation:
I have attached a figure that represents the situation.
The the rug is by
, the width of the strip of floor is
.
We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that
<em>(this says the area of the rug must be 420 square feet)</em>
From the figure we see that
Therefore,
We expand this equation and get:
using the quadratic equation we get two solutions:
since the second solution, namely , is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take
to be our solution.
Now we find the dimensions of the rug:
The rug is 15 ft wide and 28 ft long.
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
=>
=>
Generally the p-value is mathematically represented as
From z-table
So