The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.
1 answer:
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Answer:
The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.
Step-by-step explanation:
A machine, when working properly, produces 5% or less defective items.
This means that the null hypothesis is:
Test if the percentage of defective items produced by this machine is greater than 5%.
This means that the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.05 is tested at the null hypothesis:
This means that
A random sample of 300 items taken from the production line contained 27 defective items.
This means that
Value of the test statistic:
Pvalue of the test:
Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.
Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993
1 - 0.9993 = 0.0007
The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.
Answer:
Step-by-step explanation:
Use the slope-intercept formula: where m is slope and b the y-intercept.
Use the slope formula for when you have two points:
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
Simplify parentheses (negative+negative=positive)
Simplify
2 is the slope:
Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:
(4,7)
The y-intercept is -1. Insert into the equation. Change the + symbol to -:
Done.