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bezimeni [28]
4 years ago
10

A circle is shown. Identify the center of the circle.

Mathematics
1 answer:
Vlada [557]4 years ago
5 0

Step-by-step explanation:STEP 1: Draw two straight, intersecting tangent lines onto the circle. The lines can be completely random. However, the process will be easier if you make them roughly square or rectangular.

STEP 2: Translate both of the lines to the other side of the circle. You will end up with four tangent lines forming a parallelogram or a rough rectangle.

STEP 3: Draw the diagonals of the parallelogram. The point where these diagonal lines intersect is the circle's center.

STEP 4: Check the accuracy of the center with a compass. The center should be on target as long as you didn't slip while translating the lines or when drawing the diagonals. Feel free to erase the parallelogram and diagonal lines.

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100 points, put nonsense, get reported. Susan wants to build a floor to put at the bottom of her tree house. She made the scale
Elanso [62]

Divide the length of the scale drawing by the scale (2.5) then multiply that by the scale feet (3)


11 inches / 2.5 = 4.4

4.4 x 3 = 13.2 feet


Answer: 13.2 feet

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2 years ago
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In the below system, solve for y in the first equation.
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The correct answer should be A.
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Find the inverse of the function f(x)=5x-6/x+2
Naily [24]

Answer:

  f^{-1}(x)=\dfrac{2x+6}{5-x}

Step-by-step explanation:

Swap x and y, then solve for y.

x=\dfrac{5y-6}{y+2}\\\\x(y+2)=5y-6\\\\xy+2x=5y-6\\\\2x+6=5y-xy\\\\y=\dfrac{2x+6}{5-x}\\\\f^{-1}(x)=\dfrac{2x+6}{5-x}

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olice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the
yan [13]

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 7.2 minutes and a standard deviation of 2.1 minutes.

This means that \mu = 7.2, \sigma = 2.1

For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.

This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.

X = 9

Z = \frac{X - \mu}{\sigma}

Z = \frac{9 - 7.2}{2.1}

Z = 0.86

Z = 0.86 has a pvalue of 0.8051

X = 3

Z = \frac{X - \mu}{\sigma}

Z = \frac{3 - 7.2}{2.1}

Z = -2

Z = -2 has a pvalue of 0.0228

0.8051 - 0.0228 = 0.7823

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

4 0
3 years ago
Combine and Simplify:​
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Answer:

-6x - 8y - x² - 9y² - x - 6² - x² - y² - y = - 2x² - 10y² - 7x - 9y - 6²

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