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3 years ago

Find the distance between the points (5, -2) and (1, -4)

Mathematics

2 answers:

Gemiola [76]3 years ago

3 0

Answer:

√20

Step-by-step explanation:

d = √(x₂-x₁)²+(y₂-y₁)²

d = √(1-5)²+(-4+2)²

d = √(-4)²+(-2)²

d = √16+4

d = √20

Natasha_Volkova [10]3 years ago

3 0

Answer:

4.472 or √20

Step-by-step explanation:

Use the distance formula and plug in your x and y points, and then you should have your answer. Distance formula: d= √(x2+x1)^2 + (y2+y1)^2

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2 years ago

Select the expression that represents the following problem: A glass holds 1/4 liter of liquid. How many glasses of liquid are i

jasenka [17]

Answer:

6 : 1/4

Step-by-step explanation:

If a glass hold 1/4 of liter, it means that 4 glasses contains 1 liter

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3 years ago

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:

$\bar X= \mu = 25$

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

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3 years ago

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3 years ago