Hi there!
Many things we do in everyday life have a variety of ways we can go about accomplishing them, but we most often choose the most practical and efficient method.
Efficiency saves time and prevents over-complication, which may lead to errors.
We might need to identify the specifics of the task and its circumstances to be able to determine the most efficient method to do it.
Solving a quadratic equation, we also must think about the most efficient method that can lead us to the correct answer. And doing so, we must identify the circumstances of the equation; Can it be solved by factoring? Is it easy to factor? What form is this quadratic equation in?
For example, let's say we're given the equation (x-1)(x+2)=0. This is an equation in factored form. In these kinds of scenarios, we can <em>easily</em> solve by setting each term equal to 0 (the Zero Product Property). This is the <em>most efficient </em>method:
x-1=0 --> x=1
x+2=0 --> x=-2
I hope this helps!
Answer:
18.6 ounces
Step-by-step explanation:
You are talking about Arrangement.
So answer will be A(5,5) - C(5,2) = 110.
Reason to deduce C(5,2) is that E is a duplicate.
Answer:
Z = -1.333
P-value = 0.09176
Decision Rule: Reject 
if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Step-by-step explanation:
Given that:
The sample size of the poll = 1068
The proportion of voters that preferred Democratic candidate is 
= 0.48
To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5
The null hypothesis and the alternative hypothesis can be computed as:
Using the Z test statistics which can be expressed by the formula:
Z = -1.333
P-value = P(Z< -1.33)
From z tables,
P-value = 0.09176
The level of significance ∝ = 0.05
Decision Rule: Reject if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Answer: 5.99,6 6.01
Step-by-step explanation:
