A homeowner leans a ladder against his house so that the top of the ladder makes a 31 degree angle with the house. What angle do
es the bottom of the ladder make with the ground? help! asap
1 answer:
If you put an imaginary line from the base of the ladder to the wall it would from a right angled triangle. The internal angles of a triangle all add up to 180degrees. With a right angled triangle, we know for sure one angle is going to be 90 degrees. One angle as you said is 31 degrees so you just add 31 and 90 which is equal to 121 then subtract it by that. SO:
180-(31+90)
180-121=59 degrees
or even easier
90-31= 59
180-(31+90)
180-121=59 degrees
or even easier
90-31= 59
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Answer:
Confidence =
And then the confidence level would be given by 99%
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
The distribution for the sample mean is given by:
represent the sample mean
represent the population standard deviation
n= 100 sample size selected.
The confidence interval is given by this formula:
(1)
The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:
And we can find the critical value like this:
And we know that on the right tail of the z score =2.576 we have of the total area. We can find the area on the right of the z score using this excel code:
"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998=, so then
, and then we can find the confidence like this:
Confidence =
And then the confidence level would be given by 99%