F(x) = x4(x2 - 1)
f(-x) = (-x)4((-x)2 - 1)
f(-x) = x4(x2 - 1)
from above explanation it is clear that the function is even.
The probability that any given car will have a brake failure if it is make a is 0.0065%
<h3>How to determine the probability?</h3>
The complete question is added as an attachment
From the table in the question, we have:
P(Brake failure|car a) = 0.0065%
The above represents the required conditional probability
Hence, the probability that any given car will have a brake failure if it is make a is 0.0065%
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Answer:
y = 2(x + 3) + (-2) is the required equation.
Step-by-step explanation:
Here the given points are A( -1,2) and B(-3-2)
Now, slope of the equation =
Hence, the slope of the equation is m = 2
Now, by POINT SLOPE FORMULA:
The equation of a line with slope m and point (x0, y0) is given as
(y - y0) = m (x -x0)
So, here the equation of line with (-3, -2) is
y - (-2) = 2 (x - (-3))
or, y + 2 = 2(x + 3)
⇒ y = 2(x + 3) + (-2) is the required equation.
Answer:
5) 12 pieces for $36
6) 12 pieces for $36
They require the same amount of wood pieces.
Step-by-step explanation:
5)
Sandbox A: ? = 2
one side is 6, the other is 4 + ? = 6, so 6-4= ? and 6 - 4 = 2
now we add up the perimeter: 2 + 2 + 4 + 4 + 6 + 6 = 24ft total
we know that each wood piece = 2 ft so:
24 / 2 = 12 pieces of wood
each piece costs $3, so we multiply...
12 * 3 = $36 for all the wood.
____________
Sandbox B: ? = 4
one side is 6, the other is 2 + ? = 6, so 6 - 2= ? and 6 - 2 = 4
now we add up the perimeter: 2 + 2 + 4 + 4 + 6 + 6 = 24ft total
we know that each wood piece = 2 ft so:
24 / 2 = 12 pieces of wood
each piece costs $3, so we multiply...
12 * 3 = $36 for all the wood.
Answer:
The sum of 3 consecutive integers is 13 more than twice the smallest integer. Find the integer.
x + (x+1) + (x+2) = 2x + 13
3x + 3 = 2x + 13:
3x - 2x = 13 - 3
x = 10 is the smallest integer:
Check: 10 + 11 + 12 = 2(10) + 13