Answer:
f(-3) = 13
Step-by-step explanation:
f(x) = x² + 4 Substitute -3 for x
f(-3) = (-3)² + 4 Simplify the exponent
f(-3) = 9 + 4 Add
f(-3) = 13
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Answer:
3
Step-by-step explanation:
Answer:
160
Step-by-step explanation:
one of the triangle faces:
4 × 6 = 24cm^2
theres 4 triangle faces so 24 × 4 = 96 cm^2
then u have to add on the square face which is 8×8 =64cm^2
total:
64 + 96 = 160cm^2
Answer: 5/6
Step-by-step explanation:
Answer:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
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:
Solution to the problem
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
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