The function is even, so
Therefore
Solve the equation. 5x = 2x^2 +1
2 answers:
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Answer:
Step-by-step explanation:
Given:
From the graph shown,
The broken line means that the inequality sign will be either < or >.
The shaded region is to the left of the broken line. This means that .
Now, in order to find equation of line, we need slope and y-intercept.
From the graph, the y intercept is at . So, y intercept is 1.
Also, if we consider two points on the line, then slope is given as:
Therefore, the equation of the line is given as:
But as the shaded region is to the left of the line,
∴ is the correct answer.
Answer:
We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:
Step-by-step explanation:
Notation
represent the sample mean
represent the standard deviation for the population
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is: