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Luden [163]
1 year ago
8

Which of the following sets of ordered pairs represents a function

Mathematics
1 answer:
Feliz [49]1 year ago
8 0

Answer: A

Step-by-step explanation:

Each value of x maps onto only one value of y.

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Equations for height of trapezoid
devlian [24]

Answer:

h= \frac{\sqrt{(-a+b+c+d)(a-b+c+d)(a-b+c-d)(a-b-c+d)}}{2|b-a|}

Step-by-step explanation:

  • The height (or altitude) is the perpendicular distance between the bases.
  • In the case that the two bases have different lengths (a ≠ b), the height of a trapezoid h can be determined by the length of its four sides using the formula

h= \frac{\sqrt{(-a+b+c+d)(a-b+c+d)(a-b+c-d)(a-b-c+d)}}{2|b-a|}

where c and d are the lengths of the legs.

Keywords: height of trapezoid

Learn more height of trapezoid from brainly.com/question/3616164

#learnwithBrainly

7 0
3 years ago
Which of the following statements is true of the correlation analysis? The null hypothesis for the Pearson correlation coefficie
ASHA 777 [7]

Answer:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: \rho =0

Alternative hypothesis: \rho \neq 0

The statistic to check the hypothesis is given by:

t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}

And is distributed with n-2 degreed of freedom. df=n-2=10-2=8

For this case the null hypothesis represent that we don't have association betwen the dependent variable Y and the independent variable X and that means r=0. So then the best option for this case is:

The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

Solution to the problem

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: \rho =0

Alternative hypothesis: \rho \neq 0

The statistic to check the hypothesis is given by:

t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}

And is distributed with n-2 degreed of freedom. df=n-2=10-2=8

For this case the null hypothesis represent that we don't have association betwen the dependent variable Y and the independent variable X and that means r=0. So then the best option for this case is:

The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero

4 0
3 years ago
What is the simplified result of following the steps below in order?
Keith_Richards [23]
(5y+2x)*3+(x+y)=15y+6x-x-y=5x+14y
3 0
3 years ago
What is the simplest form of the expression 3 sqrt 24a^10b^6?
arlik [135]
Answer is 3(qrs+8aN)
7 0
3 years ago
231 students went on a field trip. Four buses were filled and 23 students traveled in cars. How many
horrorfan [7]

Answer:

52

Step-by-step explanation:

231-23=208

208÷4=52

5 0
2 years ago
Read 2 more answers
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