Find the smallest positive integer k such that 360k is a cube number.
2 answers:
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Answer:
The slope of a line parallel to this line will be: -7/9
The slope of the perpendicular line will be:
Step-by-step explanation:
We know the slope-intercept form
Here,
- m is the slope
- b is the y-intercept
Given the equation
simplifying to write in the lope-intercept form
Thus, the slope of the line is: -7/9
The slope of a line parallel to the line:
We have already determined that the slope of the line is: -7/9
- We know that the parallel lines have the same slope.
Thus, the slope of a line parallel to this line will be: -7/9
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: -7/9
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:
Answer:
Yes there is sufficient evidence to reject the company's evidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 25
The mean is
The standard deviation is
The z-score is z = -1.94
The null hypothesis is
The alternative hypothesis is
Generally the p-value is mathematically evaluated as
From the z table the area under the normal curve to the left corresponding to -1.94 is
=>
=>
Let assume the level of significance is
Hence the this mean that
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the company's evidence