Answer:
see below
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates together and divide by 2
(5+7)/2 = 12/2 =6
If that was supposed to be -7
(5-7)/2 = -2/2 =-1
To find the y coordinate of the midpoint, add the y coordinates together and divide by 2
(-3+-5)/2 = -8/2 =-4
Either (6,-4) if +7 or (-1,-4) if -7
As the wheel makes this 270 degree counterclockwise rotation about the origin, the y-coordinate of the first car decreases from 80 to 0 and then further from 0 to -80, and finally increases to 0.
The x-coordinate decreases from 0 to -80 and then increases to 0; from there it increases further to 80.
Thus, the coordinates of the first car, after this 270-degree rotation, are (80, 0).
Answer:
6
Step-by-step explanation:
1800/300=6
Answer:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is
since we want to check if the new model has improved the warranty rate, we can express it like this:
since are equivalent expressions.
And the alternative hypothesis should be the complement:
Null hypothesis:
or 
So the correct system of hypothesis for this case would be:
Null hypothesis:
Alternative hypothesis:
The alternative way should be:
Null hypothesis:
Alternative hypothesis:
Answer:
Step-by-step explanation:
Well 12y is the most obvious answer.
Anything that makes 12 is good enough.
4(3y) is another answer
12(y)
1(12y)
6(2y)
2(6y