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3 years ago

Which of the following statements are true? Select all that apply

Mathematics

2 answers:

Delicious77 [7]3 years ago

8 0

Answer:

Option A ,B , C , E are true .

Step-by-step explanation:

Given : Statements about correlation .

To find : Which statements is true.

Solution : We have given statement about correlation .

Correlation : When two sets of data are strongly linked together we say they have a High Correlation.

Hence, option 1 is true it show the relation between two quantity variable

Correlation can have a value:

• 1 is a perfect positive correlation .

• 0 is no correlation (the values don't seem linked at all)

• −1 is a perfect negative correlation

Since , its coefficient lies from -1 to 1.( B is true )

If r = 1 then it has strong relationship between two variable ( C is true)

If r= 0 the it has no relation ( D is false )

If r = -0.9 the it has high negative correlation ( E is true )

Therefore, Option A ,B , C , E are true .

Murrr4er [49]3 years ago

7 0

Answer:

Step-by-step explanation:

the answers are 123

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This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.

1. Using a graphing calculator.

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$x^3-5x+5=2x^2-5$

By ordering this equation we have:

$x^3-2x^2-5x+10=0$

So, we can say that this equation comes from a function given by:

$f(x)=x^3-2x^2-5x+10$

Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of $f(x)$ which are:

$x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236$

Finally, rounding noninteger roots to the nearest hundredth we have:

$\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}$

2. Using a system of equations.

The ordered equation is:

$x^3-2x^2-5x+10=0$

By arranging to factor out we have:

$x^3-5x-2x^2+10=0$

Then, by factoring:

$x(x^2-5)-2(x^2-5)=0$

Term $(x^2-5)$ is a common factor, thus:

$(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}$