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77julia77 [94]
3 years ago
7

Use property to find sum pr product 5 x 23 x 2

Mathematics
2 answers:
zloy xaker [14]3 years ago
3 0
5\times23\times2\\\\use\ commutative\ property:\ a\times b=b\times a\\\\23\times5\times2\\\\use\ associative\ property:(a\times b)\times c=a\times(b\times c)\\\\23\times(5\times2)=23\times10=\huge\boxed{230}
lys-0071 [83]3 years ago
3 0
Distributive Property
   (5x23)x1 + (5x23) x 1
         115    +     115
                   = 230  
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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

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 grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
What is the soloution of x^2-1/x^2+5x+4<_0
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<span>You have the following inequality given in the problem shown above:

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 1. To solve it, you must factor it and then you must make the study of the signs.

 2. Once you do the proccedure mentioned above, you obtain the following solutions:

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 3. You can graph the inaquality given in the problem, as you can see in the figure attached.</span>

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Maksim231197 [3]

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