John put $200 in an account that earns 4% simple interest every year. How much money will be in the account after 8 years ?
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Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.
<h3>What is a slope?</h3>The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem, we have that:
- The angle is of 45º.
- The vertical distance is the height of h.
- The horizontal distance is of 3m.
Hence:
tan(45º) = h/3.
1 = h/3.
h = 3 m.
If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:
More can be learned about the slope concept at brainly.com/question/18090623
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Answer:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
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".
represent the sample mean for the sample
population mean (variable of interest)
s represent the sample standard deviation
n=5 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
And for this case we know that the 95% confidence interval is given by:
And the margin of error is given by:
And the margin of error is given by:
The degrees of freedom are given by:
And the critical value for 95% of confidence is
So then we can find the deviation like this:
And for the 99% confidence the critical value is:
And the margin of error would be:
And the interval is given by: