Megavolt begins manufacturing evil light bulbs for his latest scheme. To ensure quality, he tests every 100th bulb manufactured,
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Answer:
The confidence interval would be given by this formula
For the 95% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
The margin of error for this case is given by:
And replacing we got:
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.4941;0.5459).
Step-by-step explanation:
Data given and notation
n=1000 represent the random sample taken
estimated proportion of of U.S. employers were likely to require higher employee contributions for health care coverage
represent the significance level (no given, but is assumed)
Solution to the problem
The confidence interval would be given by this formula
For the 95% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
The margin of error for this case is given by:
And replacing we got:
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.4941;0.5459).
Answer:
Step-by-step explanation:
<u>The two points:</u>
- (0, 0) and (-3, -2)
<u>The distance:</u>
- d =
- d =
=
- Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept
So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.
Firstly, subtract 3x on both sides of the equation:
Next, divide both sides by -4 and your slope-intercept form of the original equation is
Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>
Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:
<u>In short, your new equation is y = -4/3x - 10 1/3.</u>