What method would you choose to solve the equation 2x2 – 7 = 9? Explain why you chose this method.
2 answers:
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For this inquiry, we are presented with a graph, and we're tasked with determining the x-coordinate of where the two lines intersect.
An examination of the graph indicates that the input value is around 3.3.
In the graph,
To derive g(x), we need the slope and y-intercept.
The slope represents the ratio of vertical change to horizontal change.
In this case, the rise is 3 units and the run is 2 units. The line intersects the y-axis at -2.
Thus, the equation for g(x) becomes
Next, we will perform
Substituting the values of both functions will yield
By adding 2 to both sides, we have
We will apply cross multiplication
Thus, the approximate input value is 3.3.
Response:
It is inferred that the authors of the sonnets belong to a certain poet from the Elizabethan era.
Step-by-step breakdown:
The details provided in the question are as follows:
Population mean, μ = 8.9
Sample mean, = 10.2
Sample size, n = 6
Alpha, α = 0.05
Population standard deviation, σ = 2.5
Initially, we formulate the null hypothesis and the alternative hypothesis
To conduct this test, we utilize the One-tailed z test.
a) Equation:
By substituting in all relevant values, we determine:
Next,
b) The p-value is computed using the z-table.
P-value = 0.1003
The p-value surpasses the alpha of 0.05
c) Because the p-value exceeds the alpha threshold, there is insufficient evidence to dismiss the null hypothesis, thereby supporting the null hypothesis.
Consequently, it is concluded that the authorship of the sonnets belongs to a particular Elizabethan poet.