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3 years ago

BC= I need someone help... anybody know how to do this?

Mathematics

1 answer:

Tems11 [23]3 years ago

3 0

<h3>Answer: 10.99</h3>

Work Shown:

Angle B = 20 is the reference angle

AC = 4 is the side opposite this reference angle

BC = x is the unknown adjacent side

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(20) = 4/x

x*tan(20) = 4

x = 4/tan(20)

x = 10.9899 approximately (make sure your calc is in degree mode)

x = 10.99 rounding to two decimal places

BC = 10.99

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3 years ago

Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t

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Step-by-step explanation:

Given that margin of error (E) = 3 unit, standard deviation (σ) = 29, sample size (n) = ?

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From the normal distribution table, The z score of α/2 (0.005) is the critical value and it corresponds to the z score 0.495 (0.5 - 0.005) which is 2.58.

$critical\ value = z_{\frac{\alpha}{2} }=z_{0.005}=2.58\\$

b) The margin of error (E) is given as:

<h3> $E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }\\\\\sqrt{n}= z_{\frac{\alpha}{2} }*\frac{\sigma}{E }\\ \\n=( z_{\frac{\alpha}{2} }*\frac{\sigma}{E })^2\\\\Substituting:\\\\n=(2.58*\frac{29}{3} )^2=622.0036\\\\\\n=623(to\ the \ next\ whole\ number)$ </h3>

The minimum sample size (n) is 623

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4 years ago

the coordinates of three of the vertices of a parallelogram are given. Find the possible coordinates for the fourth vertex. L (0

frosja888 [35]

Answer:

Step-by-step explanation:

Given Coordinates of three vertices of the parallelogram L(0,4), M(6,0), N(2,4).

Corresponding to each vertex, there are three possibilities of having a fourth vertex

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(x,y)

(6+2−0,0+4−4)=(8,0)

Coordinates of fourth vertex opposite to M is given by

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Coordinates of fourth vertex opposite to N is given by

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Therefore, the possible coordinates of the fourth vertex are

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7 0

4 years ago