What is the Pythagorean Theorem? Please describe it in detaill!!
1 answer:
Answer:
Answer is below
Step-by-step explanation:
The Pythagorean Theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. This only works on right triangles. The equation for this is . A and B are the shorter side lengths, while C is the hypotenuse. Taking the squares of the two shorter sides will equal the square of the hypotenuse.
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The area of a plot is the amount of space on the plot
The area of the plot is 2x^2 -x - 1
<h3>How to determine the area</h3>The dimensions of the plot are given as:
Length=2x+1
Width=x-1.
The area of the plot is the product of its dimension.
So, we have:
Expand
Evaluate the like terms
Hence, the area of the plot is 2x^2 -x - 1
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Answer:
A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).
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 .
That is z with a pvalue of , so Z = 1.645.
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 34.09 - 3.25 = 30.84.
The upper end of the interval is the sample mean added to M. So it is 34.09 + 3.25 = 37.34.
A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).