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elixir [45]
3 years ago
12

Find an equation of a plane that satisfies the given conditions

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0
The conditions are needed to be able to answer the question 
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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
Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines? cake can be cut into equal
avanturin [10]

Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines, cake can be cut into 20 equal parts.

This is further explained below.

<h3>What are gridlines?</h3>

Generally, In spreadsheet software, gridlines are the light gray lines that divide the cells, rows, and columns. Gridlines are often used to maintain track of data. Gridlines are widely used in popular spreadsheet programs like Spreadsheet.

In conclusion, If the cuts can only be done along the gridlines, the cake may be divided into 20 equal pieces when cutting along the lines.

Read more about gridlines

brainly.com/question/2773987

#SPJ1

3 0
2 years ago
Find the length x.<br> 5<br> X<br> 45<br> PLS THIS IS ERGENT
Annette [7]

Answer:

X = 7.5

Step-by-step explanation:

First, divide 5 by 3 to find the scale factor:

5/3 = 1.667

Now, multiply 4.5 by 1.667 to find x:

x = (4.5)(1.667)

x = 7.5

Therefore, x is equal to 7.5.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

4 0
3 years ago
The sum of a number and 4 is 6 1/2
Genrish500 [490]

Answer:

X=2

Step-by-step explanation:

let say x is the variable that we want to found .

x + 4 =6 1/2

X + 4 = 6

X= 2

4 0
3 years ago
Solve for the value of x :-<br>5(x+4)+5(2-x)​
Mariulka [41]

Answer:

30

Step-by-step explanation:

Given expression:

5(x + 4) + 5(2 - x)

Note: <em>The value of "x" is undefined because the given sum is not an equation. Thus, I will simplify the expression as much as possible. </em>

Let us simplify all the distributive properties stated in the expression.

Apply the distributive property rule <u>[a(b + c) = ab + ac]</u>

\implies5(x) + 5(4) + 5(2) - 5(x)

Since 5(x) is being subtracted from 5(x), we get:

\implies 5(x) + 5(4) + 5(2) - 5(x)

\implies 5(4) + 5(2)

Finally, let us simplify the sum of the product of (5 and 4) and (5 and 2).

\implies20 + 10

\implies \boxed{30}

Learn more about one-variable expressions: brainly.com/question/15139917

6 0
2 years ago
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