Answer:
8 gallons
Step-by-step explanation:
3x4=12 (do the same to the opposite) 2x4=8 or 8 gallons of blue paint (to be more specific)
Answer:
<u>x = 466.7 feet</u>
Step-by-step explanation:
Finding the top angle of the triangle :
- They are complementary
- 90° - 31°
- 59°
Take the tan value of this angle to find y :
- tan 59° = 400/y
- 1.66427948 =400/y
- y = 400 / 1.66427948
- y = 240.344248
Using Pythagorean Theorem to find x :
- y² + 400² = x²
- x = √(240.344248)² + 160000
- x = √57765.3575 + 160000
- x = √217765.357
- <u>x = 466.7 feet</u> (nearest tenth)
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
Step-by-step explanation:
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