Answer:
Exactly 16%.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean of a certain set of measurements is 27 with a standard deviation of 14.
This means that 
The proportion of measurements that is less than 13 is
This is the p-value of Z when X = 13, so:
has a p-value of 0.16, and thus, the probability is: Exactly 16%.
For this problem you would look at the difference between the two equations. Left and right is determined by the -2 and the +5 in the problems, to get from -2 to +5, you would add 7 but (and i dont really know how to explain the reasoning for this) whenever this number is positive, it goes left and whenever it is negative, it goes right. Figuring out if it shifts up or down is the same, look at the numbers +1 and +9 in the equations. If you go from +1 to +9, you would be adding 8, and this makes it shift upward.
Therefore the answer is the third one: the graph shifts 7 units left and 8 units up
We see it is the y terms squared so it opens left or right
in form
(y-k)^2=4(p)(x-h)
vertex is (h,k)
and p is distance from focus to vertex, also distance from vertex to directix
if p>0, then it opens to the right and dirextix is to the left of vertex
if p<0, then it opens to the left and directix is tothe right of vertex
so
(y-1)^2=4(4)(x-(-3))
vertex is (-3,1)
4>0 so dirextix is to left of vertex
left is in x direction
-3-4=-7
directix is x=-7
You simplefie them and get 1/2 for 4/8
2/3 for 8/12
3/4 cannot be somplified
Answer:
the formula is 1.5x^2
Step-by-step explanation:
Since the vertex is 0,0 h and k are both 0
then you plug in the -6 and -9 to the equation
a(-6)=-9
3/2(x)^2
hope that answers your question
