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faltersainse [42]
3 years ago
14

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P). P = (3,

5) and M =(-2, 0)

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
8 0
<span>I'll try to explain. The trouble is that I do not know English :)
</span><span>About Points
</span>S = (x,y)        <span>searched point (it will be in the third quadrant )
</span>M = (-2,0)      <span>Midpoint | SP |
</span>P = (3,5)        <span>one end of the segment | SP |
</span>
<span>You have to draw Cartesian.

 </span><span>we set in a point M and P. We both points by a simple and we extend it for the third quarter of the system. Compass measure the distance from the point M to the point P. From the point M we set a compass point S. Figure attached. Received point S = ( -7 , -5 ) . It sought a point that calculate .

</span>We use the information that | SM | = | MP |

x_{S}  -  x_{M} =  x_{M} -  x_{P}  \\  \\  x_{S} - (-2) = -2 - 3 \\  \\  x_{S} +2 = -5 \\  \\  x_{S} = -5 - 2 = -7

y_{S} - y_{M}  =  y_{M}  -  y_{P}  \\  \\  y_{S}  - 0 = 0 - 5 \\  \\  y_{S}  = -5

Answer : S = (-7,-5)

<span>as soon as I had a good range will add drawing</span>


Charra [1.4K]3 years ago
6 0

Answer:

the answer is (-28, 12)

Step-by-step explanation:

Hope this helps :)

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3 years ago
MZHGF = 16x +4, mZEGF = 110°, and mZHGE= 3x + 11. Find x.
Len [333]

Answer:

x=9

Step-by-step explanation:

I hope this helps you

16x+4=110+3x+11

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3 0
2 years ago
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o
Mumz [18]

Answer:

0% probability that the mean of the sample taken is less than 2.2 feet.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 2.5 feet and a standard deviation of 0.2 feet.

This means that \mu = 2.5, \sigma = 0.2

Sample of 41

This means that n = 41, s = \frac{0.2}{\sqrt{41}}

Find the probability that the mean of the sample taken is less than 2.2 feet.

This is the p-value of Z when X = 2.2 So

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

By the Central Limit Theorem

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

Z = \frac{2.2 - 2.5}{\frac{0.2}{\sqrt{41}}}

Z = -9.6

Z = -9.6 has a p-value of 0.

0% probability that the mean of the sample taken is less than 2.2 feet.

6 0
3 years ago
Find the distance AB between the points A (8, 2) and B(3,9). Round your answer to the nearest
LenKa [72]

Answer:

<h3>d = 8.6</h3><h3>d = √74</h3>

Step-by-step explanation:

A (8, 2) = (x_1 ,y_1)\\ B(3,9) = (x_2,y_2)\\\\d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d =\sqrt{\left(3-8\right)^2+\left(9-2\right)^2}\\\\d=\sqrt{(5)^2+(7)^2}\\\\d=\sqrt{25+49}\\\\d=\sqrt{74}\\\\d = 8.6023\\\\d = 8.6

6 0
3 years ago
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