Answer:
Step-by-step explanation:
y = x² - 10x + 27
y = ax² + bx + c
This is the general form of the equation for a parabola.
We must convert it to the vertex form
y = (x - h)² + k, where (h,k) are the coordinates of the vertex.
We can do this by completing the square.
The figure below shows that your parabola has its vertex at (5,2).
This is the associative property, since any numbers can <em>associate </em>with each other, via the parentheses.
Answer:
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Step-by-step explanation:
We know mean u = 38 standard dev. s = 2
We want P ( 37 < x < 41)
so
P( (37 - 38) / 2 < Z) = P(-0.5 < Z)
P( Z < (41 - 38)/2 ) = P( Z < 1.5)
Find P(Z < -0.5) = 0.3085
Find P(Z > 1.5) = 0.0668
so P(-0.5 < Z < 1.5) = 1 - P(Z < -0.5) - P(Z > 1.5)
P(-0.5 < Z < 1.5) = 1 - 0.3085 - 0.0668
P(-0.5 < Z < 1.5) = 0.6247
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Answer:
k = 3/7
Step-by-step explanation:
121212kkk = 848484
divide each side by 121212
kkk = 7
3k = 7
k = 3/7
Answer:
P=3T-50
Step-by-step explanation:
Form the given four values we can assume a linear relationship between profit and the no of tickets sold.
Let the equation corresponding to that be some P=aT+b.
Now substitute the first set of values(100,50) in the above equation we get
100=50a+b.
Now substituting second set of values (100,250) we get 250=100a+b.
Let these equations be eq1 and eq2.
Now substract eq1 from eq2 we get 50a=150 or a=3.
Substitite value of a in one of the equations we get b=-50.
∴P=3T-50
