Answer:
Non-linear because none of them repeat.
Step-by-step explanation:
Answer:
The largest average score the researcher should consider is 117
Step-by-step explanation:
Mean = xbar = 114
Standard deviation = σ = √(variance) = √(400) = 20
Let The standardized score that corresponds with lower 56% be x'.
Let the z value that corresponds to the probability of 0.56 be z'
We need to obtain the z value that corresponds with a Probability of P(z ≤ z') = 0.56
using the normal probability distribution table,
z' = 0.151
P(z ≤ z') = P(z ≤ 0.151) = 0.56
z' = (x' - xbar)/σ
0.151 = (x' - 114)/20
x' = 117
Answers:
Vertex is (-1,0)
Axis of symmetry is x = -1
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Explanation:
F(x) = 3(x+1)^2
is the same as
y = 3(x-(-1))^2 + 0
which is in the form
y = a(x-h)^2 + k
We can see that
a = 3
h = -1
k = 0
Therefore the vertex is (h,k) = (-1,0)
The axis of symmetry is x = h = -1 which is the equation x = -1
The axis of symmetry in this case is a vertical line through the vertex.
The probability that a point is chosen at random in the square is in the blue region is 0.8.
<h3>What is Probability?</h3>
The probability helps us to know the chances of an event occurring.
As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,
The area of the square can be written as,
Now, the probability that a point is chosen at random in the square is in the blue region can be written as,
Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.
Learn more about Probability:
brainly.com/question/795909
