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3 years ago

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a triangular plot of land has boundary lines 45 meters, 60 meters, and 70 meters long. the 60 meter boundary line runs north-sou

th. Is there a property for the boundary line that runs east-west

1 answer:

love history [14]3 years ago

3 0

Yes it is running east-west

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A distribution is given as

Arada [10]

If <em>X</em> is uniformly distributed on the interval (0, 12), then its PDF is

$f_X(x) = \begin{cases}\frac1{12} & \text{if }0 < x < 12 \\ 0&\text{otherwise}\end{cases}$

or simply

$f_X(x) = \dfrac1{12} \text{ where } 0 < x < 12$

and the zero-elsewhere case is assumed.

Whether you include 0 and 12 in the domain is irrelevant, since the probability that <em>X</em> = 0 or <em>X</em> = 12 are both zero.

4 0

3 years ago

Find the z score so that 25% of the standard normal curve lies to the left of z. remember that this means you are looking for th

marta [7]

This is the concept of probability and statistics, the z-score associated by the probability of 25% will be obtained using the z-tables, and hence we shall have:
P(x)=25=0.25
thus checking the z-score that gives us the probability of 0.25 we get:
-0.67
the answer is z=-0.67

5 0

4 years ago

The rate of change of atmospheric pressure P with respect to altitude h is proportional to P, provided that the temperature is c

jonny [76]

Answer:

$P = 101.5 e^{-0.00015h}$

Step-by-step explanation:

dP/dh = kP

dP/P = k dh

ln P = kh + C

Now, using the points given,

ln 101.5 = C, so C = 4.62

ln 87.3 = k*1000 + 4.62

k = -0.00015

So, we have

ln P = -0.00015 h + ln 101.5

P = 101.5 e^(-0.00015h)

3 0

3 years ago

Simplify: 4x-5y -2y+x

REY [17]

5x-7y
4x and x combine to get 5x.
-5y and -2y combine to get -7y.
This is all done using the like terms method.

6 0

3 years ago

The graph shows the result of a matrix transformation, where the pre-image has dashed lines Which matrix operation is represente

diamong [38]

The <em>matrix operation</em> is the <em>addition subtraction </em>and <em>multiplication </em>involving matrices. The coordinates of the <em>image </em>can be represented as a matrix obtained from the coordinates of the <em>preimage </em>through matrix operations

The best correct option is<u> option D)</u>,<em> (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows</em>:

$\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]$

The reason the above matrix value for the matrix operation are correct are as follows:

Known parameters:

From the diagram, we have that the <em>coordinates</em> of the vertices of the preimage are;

(2, -5), (3, -7), (9, -3), and (7, -7)

The <em>coordinates </em>of the vertices of the image are;

(2, 5), (3, 7), (9, 3), and (7, 7)

Required:

The matrix operation for the transformation of the preimage points to the image points

Solution:

The transformation from the coordinates of the vertices of primage to the vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by <em>multiplying by</em> (-1)

Therefore, the required matrix operation is presented as follows:

$\mathbf{\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]} =\left[\begin{array}{rrrr}9&7&3&2\\3&7&7&5\end{array}\right]$

Therefore, the <em>best correct</em> option is option D)

Learn more about matrix operations here:

brainly.com/question/17141646

3 0

3 years ago