Solution: We are given that the correlation coefficient between ages and numbers of violations is -0.61.
The ages and numbers of violations related as age increases, violations decrease.
Therefore, the option c. as age increases, violations decrease.
The correlation coefficient measures the strength of linear association between two variables. The value of the correlation lies between -1 to 1. -1 indicates the perfect negative linear relationship between two variables. The negative values of correlation means as the one variable increases, the other variable decreases. The correlation of +1 indicates that there is perfect positive linear relationship between two variables. The positive values of correlation means as the one variable increases, the other variable also increases.
In the above statement the correlation value is negative, therefore indicating as age increases, violations decrease.
Answer:
35 cm
Step-by-step explanation:
Use the pythagorean theorem, a² + b² = c², where a and b are the lengths of the legs of the right triangle and c is the length of the hypotenuse:
Plug in the values we know:
a² + b² = c²
12² + b² = 37²
Solve for b (the other leg):
12² + b² = 37²
144 + b² = 1369
b² = 1225
b = 35
So, the length of the other leg of the triangle is 35 cm
Answer:
6/5 or 1 1/5
Step-by-step explanation:
Notice, (5,0) and (-4,0), the y-coordinate is 0, namely those are x-intercepts, the vertex is halfway between them, namely the vertex is at 0.5 over the x-axis.
therefore the equation of the axis of symmetry will be the x = 0.5.
C. 25
7^2+24^2=625
Sqrt 625=25