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mars1129 [50]
3 years ago
7

Find all points having an x coordinate of 5 whose distance from the point (2,2) is 5.

Mathematics
1 answer:
stepan [7]3 years ago
5 0

Answer:

(5,6) , (5,-2)

Step-by-step explanation:

Let the required point be P(5,y).

Its distance from (2,2) is 5 units.

So, (5-2)^{2} + (y-2)^{2} = 25.

So, 3^{2} +  (y-2)^{2} = 25.

  9 +  (y-2)^{2} = 25.

   (y-2)^{2} = 16

    Two cases are possible for now

case 1 : y-2 = 4 .

            y = 6

required point will be (5,6)

case 2 : y - 2 = -4.

              y = -2.

required point will be (5,-2).

Two points are possible : (5,6) , (5,-2).

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Determine mu Subscript x overbar and sigma Subscript x overbar from the given parameters of the population and the sample size.
pentagon [3]

Answer:

\bar X= \mu = 25

\sigma_{\bar X}= \frac{7}{\sqrt{15}}= 1.807

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the following conditions

Where \mu=25 and \sigma=7

And for this case we select a sample size of n= 15. and we want to know the distribution for the sample mean \bar X. We can assume that the distribution for \bar X is approximately normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Asuming that the distribution for X is also approximately normal. So then the parameters are:

\bar X= \mu = 25

\sigma_{\bar X}= \frac{7}{\sqrt{15}}= 1.807

8 0
3 years ago
(2.5*10^3)*3.4*10^2 (in scientific notation)​
NISA [10]

Answer:

8.5 × 10^5

Step-by-step explanation:

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klio [65]
That means there are:
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Step-by-step explanation:

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Step-by-step explanation:

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