Answer:
There are no real values of x for point P to belong to the 4 quadrant
Step-by-step explanation:
<u><em>The question in English is</em></u>
To what real values of x does the point P (3x -6, 2x +4) belong to the 4th quadrant?
we know that
A point in the fourth Quadrant has the x-coordinate positive and the y-coordinate negative
we have the point
P (3x-6, 2x+4)
----> inequality A ( x-coordinate must be positive)
---> inequality B ( y-coordinate must be negative)
Solve Inequality A
-----> (2,∞)
Solve Inequality B
----> (-∞,-2)
The solution of the system is
(-∞,-2) ∩ (2,∞)
therefore
The system has no solution
There are no real values of x for point P to belong to the 4 quadrant
Answer:
2. 
3.
- definition of perpendicular
4.
- all right angles are congruent
6.
7.
Step-by-step explanation:
<u>Given: </u>Point P is the perpendicular bisector of AB
<u>Prove: </u>P is equidistant from the endpoints AB
<u>Proof.</u>
1. Point P is on the perpendicular bisector of AB - given
2.
- definition of bisector
3.
- definition of perpendicular
4.
- all right angles are congruent
5.
- reflexive property of congruence
6.
- SAS congruency postulate
7.
- corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the endpoints of AB - definition of equidistant
Answer: 2 286/624
Step-by-step explanation:
96 * 16= 1536
125* 5= 625
2 286/ 625
Answer:
Notice that the subjects of the study are men over 50 years.
So, you need to consider that each subject is a different person with different weight and other different characteristics that determine that weight.
If we have 10 groups randomly selected, that means there's gonna be variability, otherwise, the study wouldn't make sense.
So, if each person is different, then their weights is gonna be different, giving different means.
It would be rare if both means result equal, beacuse that would mean the subjects had the same weight.
Therefore, the variability between these means can be best attributed to the variability of subjects, the difference between each person.
From a numerical perspective, the variability is attributed to the spread of the data group, that is, if there is too much difference between weights, the variabilty will increase.