19. x^2+16x+64
=(x+8)^2
21. x^2-10x+25
=(x-5)^2
Answer:
The correct option is: (D) The psychology test score is relatively better because its z score is greater than the z score for the economics test score.
Step-by-step explanation:
Consider the provided information.
For psychology test:
Scores on the psychology test have a mean of 86 and a standard deviation of 15.
Use the Z score test as shown:
Substitute x=73, μ=86 and σ=15 in the above formula.
For economics test:
Scores on the economics test have a mean of 48 and a standard deviation of 7.
Use the Z score test as shown:
Substitute x=41, μ=48 and σ=7 in the above formula.
The Z score of psychology test is greater than the Z score of economic test.
Thus, the correct option is: (D) The psychology test score is relatively better because its z score is greater than the z score for the economics test score.
Answer:
100 degrees
Step-by-step explanation:
Angle 1 + Angle 2 = 180 degrees (linear pair theorem)
Angle 2 = Angle 6 (verticle angles theorem)
Thus, we can substitute the given values of angle one and angle six into the following equation:
Angle 1 + Angle 6 = 180
4x - 20 + 5x - 25 = 180
9x - 45 = 180
9x = 225
x = 25 degrees
Angle 2 = Angle 6
5x - 25 = Angle 6, so 5x - 25 = Angle 2
5(25) - 25 = Angle 2
100 degrees = Angle 2
Answer:
II (THE Second one )
Step-by-step explanation:
Because when you substitute X by (-2)
you will get :
y=(-2)^2 - 6(-2) - 16 = Zero
So, -2 is not including in the interval .