Find the minimum value of
1 answer:
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Answer:
a)
And if we solve for we got:
b) False
The reason is because we don't satisfy the following relationship:
We have that:
c) False
In order to satisfy independence we need to have the following condition:
And for this case we don't satisfy this relation since:
Step-by-step explanation:
For this case we have the following probabilities given:
Part a
We want to calculate the following probability:
And we can use the total probability rule given by:
And if we solve for we got:
Part b
False
The reason is because we don't satisfy the following relationship:
We have that:
Part c
False
In order to satisfy independence we need to have the following condition:
And for this case we don't satisfy this relation since:
Answer:
see explanation
Step-by-step explanation:
The 2 angles form a right angle, thus their sum is 90°, hence
4x + 7 + 35 = 90
4x + 42 = 90 ( subtract 42 from both sides )
4x = 48 ( divide both sides by 4 )
x = 12
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To calculate the slope m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 4) ← 2 points on the line
m = =
= 4