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4 years ago

Number 14 please!!! Thank you

Mathematics

1 answer:

DochEvi [55]4 years ago

4 0

A. we know that cab is 35 degrees and b is 90 degrees. From this, and knowing that there are 180 degrees in a triangle, we can set up a simple equation.
180-90-35+ acb
b. so we know the measure of acb and acd will add to 180 and we also know acb from part a
180=acb+acd
c. We are given that D is 35 and B is 90. From this we know that 180-90-35 is angle A. We only want the cad part of angle A, but we know the other part cab. From this we know that
cab+cad=A

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Answer:

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Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

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Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

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