No, A and B are not independent events
Step-by-step explanation:
Let us study the meaning independent probability
- Two events are independent if the result of the second event is not affected by the result of the first event
- If A and B are independent events, the probability of both events is the product of the probabilities of the both events P (A and B) = P(A) · P(B)
∵ P(A) = 
∵ P(B) = 
∴ P(A) . P(B) = ×
∴ P(A) . P(B) = 
∴ P(A) . P(B) = 
∵ P(A and B) = 
∵ P(A) . P(B) =
- The two answers are not equal
∴ P (A and B) ≠ P(A) · P(B)
- In independent events P (A and B) = P(A) · P(B)
∴ A and B are not independent events
No, A and B are not independent events
Learn more:
You can learn more about probability in brainly.com/question/13053309
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Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:
d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
The true statement is that only line A is a well-placed line of best fit
<h3>How to determine the true statement?</h3>
The scatter plots are not given. However, the question can still be answered
The features of the given lines of best fits are:
<u>Line A</u>
- 12 points in total
- Negative correlation
- Passes through the 12 points with 6 on either sides
<u>Line B</u>
- 12 points in total
- Positive correlation
- Passes through the 12 points with 8 and 4 in either sides
For a line of best fit to be well-placed, the line must divide the points on the scatter plot equally.
From the given features, we can see that line A can be considered as a good line of best fit, because it divides the points on the scatter plot equally.
Read more about line of best fit at:
brainly.com/question/14279419
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Answer:
no
Step-by-step explanation:
A function cannot have 2 outputs for one input.
You should only ever have on value correlate with another.
4 as x has two outputs, 0 & 3 making it not a function
Answer:
Yes.
Step-by-step explanation:
3:5= 1.5:2.5
Each number is divided or multiplyed by the same number.
Ex. 3/2=1.5 and 5/2=2.5
Hope that helps idk if its right though lol
