9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The elements are 1, 4, {4}, {9}. That is, any subset that includes 1 must include it without braces. Any subset that includes 9 must include it with braces.
{4, {9}, 1} is a subset of A
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The given equation is
12x + 2y = 6
we would make this equation to look like the slope intercept equation.
12x + 2y = 6
If we subtract 12x from both sides of the equation, it becomes
12x - 12x + 2y = 6 - 12x
2y = 6 - 12x
2y = - 12x + 6
Dividing both sides of the equation by 2, it becomes
y = - 6x + 3
Thus, by comparing with the slope intercept equation,
slope = - 6
y intercept = 3

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:BrainliestBunch
Answer:
The probability that a defective rod can be salvaged = 0.50
Step-by-step explanation:
Given that:
A machine shop produces heavy duty high endurance 20-inch rods
On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.
If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.
Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches
Now:
P(X ≤ 5) = 
= 0.25
P(X ≥ 15) = 
= 0.25
The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)
= 0.25+0.25
= 0.50
∴ The probability that a defective rod can be salvaged = 0.50