Answer:
45.45 batteries
Step-by-step explanation:
The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:

45.45 batteries are expected to be defective.
<u>Answer:</u>
The point-slope form of the line that passes through (5,5) and is perpendicular to a line with a slope of
is 4x + y -25 = 0
<u>Solution:</u>
The point slope form of the line that passes through the points
and perpendicular to the line with a slope of “m” is given as
---- eqn 1
Where “m” is the slope of the line.
are the points that passes through the line.
From question, given that slope “m” = 
Given that the line passes through the points (5,5).Hence we get

By substituting the values in eqn 1 , we get the point slope form of the line which is perpendicular to the line having slope
can be found out.
y - 5 = -4(x - 5)
y - 5 = -4x + 20
on simplifying the above equation, we get
y - 5 + 4x -20 = 0
4x + y - 25 = 0
hence the point slope form of given line is 4x + y - 25 = 0
H(x) = f(x) times g(x)
= (x(2-x)) * (3x)
= (2x-x^2)(3x)
= 6x-3x^3 ⇒ answer to your question
31.68 the way I got that is I divided three by 932.4 but instead of the decimal I just took it out