Answer:
Step-by-step explanation:
The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) is the vertex.
Given vertex at (2,-3), h = 2, k = -3
y = a(x - 2)^2 + (-3) = a(x - 2)^2 - 3
The parabola passes through (0,5) so
5 = a(0 - 2)^2 - 3
5 = 4a - 3
4a = 8
a = 2
The parabola equation in vertex form:
y = 2(x - 2)^2 - 3
I don’t really see an outlier but if i have to choose one i would do the 678
The tree diagram is constructed and attached below in the image.
First we have to make a choice out of 3 subjects, so the probability of choosing art as the first subject is 1/3.
Once we have chosen art as the first subject, we have two choices. So the probability of choosing each option now is 1/2. Thus, the probability of choosing math, science is 1/2.
The probability of choosing the projects in order of art, math, science = 1/3 x 1/2 = 1/6
Therefore, the probability that the projects are in order of art, math, science is 1/6 (one over 6). So first option gives the correct answer.
Answer:
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Step-by-step explanation:
my grandmother told me the answer
Answer:
Variance = 4.68
Step-by-step explanation:
The formula for the variance is:

Where:

The mean can be calculated as each value multiplied by its probability


Replacing the mean and the summatory of X:
