A) The probability that there are no boys in the car is given by:
Answer: x=15
Step-by-step explanation:
Since these are supplementary angles, we know that if we add them together we would get 180 deg. so....
(7x-10)+ (6x-5)=180
Kay so now we can combine like terms.
13x-15=180
Now we can add 15 to both sides.
13x=195
Finally Divide 13 on both sides.
X would then now equal 15.
Answer:
For this case the value of r = -0.66
Now we can calculate the determination coeffcient:

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable
And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable
Step-by-step explanation:
For this case we need to calculate the slope with the following formula:
Where:
And we can find the intercept using this:
And the model obtained for this case is:

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:
For this case the value of r = -0.66
Now we can calculate the determination coeffcient:

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable
And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable
C. Vertex (x,y). The vertex is right in the middle of the quadratic graph.