The possible dimension of the third side is 10 units.
<h3>
What is the possible dimension of the third side?</h3>
A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle. The opposite side is the side that faces an angle. The adjacent side is the third side.
If two side lengths are given, the third side can be determined using the Pythagoras theorem.
√a² + b ² = c
√6² + 8² = √36 + 64 = 10 units
To learn more about right angled triangle, please check: brainly.com/question/20694080
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Answer:
H0: p = 0.078
Ha: p ≠ 0.078
Step-by-step explanation:
The researchers say that the rate is about 7.8%, or 0.078 as a decimal. That makes that the null hypothesis because using "is" in math is the same as saying "equals" and the null hypothesis always has the statement of equality in it. The reason there is a not equals to sign in the alternate is for this reason as well. The researchers say it is about that amount, not more or less than that amount. So it makes this a 2 tailed test. If the amount is significantly higher or lower, then we might have to reject the null hypothesis depending on the outcome of the test.
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
Answer:
V= 9202.77 in³
Step-by-step explanation:
