Review the graph of complex number z.
2 answers:
9514 1404 393
Answer:
Step-by-step explanation:
The angle to the point in the second quadrant is measured from the positive real axis (the x-axis). Second quadrant angles are between 90° and 180°, leaving the 135° choices as the only ones that make sense.
The magnitude of z is the root of the sum of the squares of its components:
|z| = √((-6)^2 +6^2) = 6√2
So, the polar form of z is ...
this matches the first choice
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Answer:
1) For this case we want to check if the population deviation is less than 15( alternative hypothesis) and the system of hypothesis are:
H0:
H1:
B. H0:σ≥15, H1:σ<15
2) For this case we want to check if the population mean is at most 70000 (alternative hypothesis) and the system of hypothesis are:
H0:
H1:
C. H0:µ≥70,000, H1:µ<70,000
3) For this case we want to check if the population proportion of all internet users that make online purchases is higher than 0.5 (alternative hypothesis) and the system of hypothesis are:
H0:
H1:
D. H0:p≤0.5, H1:p>0.5
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
1) For this case we want to check if the population deviation is less than 15( alternative hypothesis) and the system of hypothesis are:
H0:
H1:
B. H0:σ≥15, H1:σ<15
2) For this case we want to check if the population mean is at most 70000 (alternative hypothesis) and the system of hypothesis are:
H0:
H1:
C. H0:µ≥70,000, H1:µ<70,000
3) For this case we want to check if the population proportion of all internet users that make online purchases is higher than 0.5 (alternative hypothesis) and the system of hypothesis are:
H0:
H1:
D. H0:p≤0.5, H1:p>0.5