To find the vertex use -b/2a (for the x value which is also the axis of symmetry)
So 2/-2 = -1 Therefore the axis of symmetry is x=-1 Plug in for the y value:
y= -(-1)^2 -2(-1) + 1 y=-1 + 2 + 1 y=2 Vertex (-1,2)
x > -1
-2x+5 < 7
-2x<2
Now since you divide by (-1) to get positive 2,you need to flip the sign
(-2)/(-1)= 2 2/(-1)=-2
SO
2x>-2
x > -1
To check the solution do not replace the x by -1 because it shouls be more than -1 (You can choose 0,1,2,3....)
Example choose x=3
-2x3+5<7
-6+5<7
-1<7
Answer:
1. z = -1.91429
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. 2.7792%
Step-by-step explanation:
1. Relative to the WHO data, what is this girls z-score?
z score formula is:
z = (x-μ)/σ, where
x is the raw score = 44.5 cm
μ is the population mean = 47.18cm
σ is the population standard deviation = 1.40cm
z = 44.5 - 47.18/1.40
z = -1.91429
What does the z score tell us?
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?
z score = -1.91429
Probability value from Z-Table:
P(z =-1.91429) = P(x<44.5) = 0.027792
Converting to percentage = 0.027792 × 100
= 2.7792%
Answer:
c. w = -1
Step-by-step explanation:
you have to add 2 with -3 and you get -1.
There is no following, however
Motion, best describes the movement of an object.
Hope this helps!
