Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is
The sample size is n = 25
The combined resistance is 
Generally the sample mean is mathematically represented as

=> 
=> 
Generally the standard error of the mean is mathematically represented as

=> 
=> 
Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as



From the z table the area under the normal curve to the left corresponding to 1 is


X = girls
y = boys
z = students in the bus
x + y = z
x + y = 36
total girls = 2 * total boys
x = 2 * y
2y + y = 36
3y = 36
y = 12
x = 2y = 24 (B)
Answer:
6 hours
Step-by-step explanation:
75 x 6 = 450
To write an equation in slope intercept form given the slope and a point, plug into point-slope form.
(y - y1) = m(x - x1)
In this equation, m is your slope and (x1, y1) is your point. If you follow this and solve for y, you will get your equation in slope intercept form.
Compute the necessary values/derivatives of
at
:






Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial)
at
by


###
Another way of doing this would be to solve for the coefficients
in

by expanding the right hand side and matching up terms with the same power of
.