Answer:
The answer is : 8160 m
Step-by-step explanation:
100% correct
Solution:
y = 2x^2 - 3 ---- equation 1
y = 3x - 1 ------equation 2
Then we get,
2x^2 - 3 = 3x - 1
Now, simplifying the equation, we get
2x^2 - 3x - 3 + 1 = 0
2x^2 - 3x - 2 = 0
After factoring the equation, we get
(2x+1)(x-2) = 0
So, this means
(2x+1) = 0 and (x-2) = 0
From this, we get
x = -1/2 and x = 2
Putting values of x = -1/2 in equation 2
y = 3(-1/2) - 1
y = -2.5
Now, putting value of x = 2 in equation 2
y = 3(2) -1
y = 5
The expected value of the discrete distribution is of 20.97, hence option C gives the correct answer.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability.</u>
Hence, according to the table, the expected value is given by:
E(X) = 12 x 0.08 + 18 x 0.15 + 20 x 0.31 + 22 x 0.08 + 24 x 0.15 + 25 x 0.23 = 20.97.
More can be learned about the expected value of a discrete distribution at brainly.com/question/26660401
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Answer:
See below
Step-by-step explanation:
- 6x² - 18 =
- 6*x² - 6*3 =
- 6(x² - 3)
Answer:
Step-by-step explanation:
The distance between a point (x,y) and the point (-3,4) is
d1=
.
The distance between a point (x,y) and the point (0,0) is
d2=
.
You know what y is from the equation of the line, so substitute that, set d1=d2, and solve for x.