Answer: 2u+11i-3j
Step-by-step explanation: plug in -11i+3j for v
distribute negative sign
A square is inscribed in the circle. A point in the figure is selected at random. Find the probability that the point will be in
1 answer:
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Answer:
D
Step-by-step explanation:
To convert from polar to rectangular form
• x = rcosΘ , y = rsinΘ
• r = ⇒ r² = x² + y²
Given
r = 8cosΘ
r = 8 × ( multiply both sides by r )
r² = 8x, hence
x² + y² = 8x ⇒ D
Answer:
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 11 - 6.02 = 3.98 pounds
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.