How are the locations on a coordinate grid different for the ordered pairs (7,0) (0,7)
1 answer:
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Answer:
a
The null hypothesis is
The alternative hypothesis is
The null hypothesis is rejected
b
The 99% confidence level is
Step-by-step explanation:
From the question we are told that
The sample size is n = 10
The population mean is
The level of significance is
The sample data is
13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002
Generally the sample mean is mathematically represented as
=>
Generally the sample standard deviation is mathematically represented as
=>
=>
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
=>
=>
Generally the p-value is mathematically represented as
From the z-table
So
So from the obtained value we see that
Hence the null hypothesis is rejected
Consider the b question
Given that the confidence level is 99% then the level of significance is
=>
Generally from the normal distribution table critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally the 99% confidence interval is mathematically represented as
=>
The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to . This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).
Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.
Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).
