Answer: 78.89%
Explanation:
Given : Sample size : n= 1200
Sample mean : ![\overline{x}=2.45](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D2.45%20)
Standard deviation : ![\sigma=0.07](https://tex.z-dn.net/?f=%5Csigma%3D0.07)
We assume that it follows Gaussian distribution (Normal distribution).
Let x be a random variable that represents the shaft diameter.
Using formula,
, the z-value corresponds to 2.39 will be :-
![z=\dfrac{2.39-2.45}{0.07}\approx-0.86](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B2.39-2.45%7D%7B0.07%7D%5Capprox-0.86)
z-value corresponds to 2.60 will be :-
![z=\dfrac{2.60-2.45}{0.07}\approx2.14](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B2.60-2.45%7D%7B0.07%7D%5Capprox2.14)
Using the standard normal table for z, we have
P-value = ![P(-0.86](https://tex.z-dn.net/?f=P%28-0.86%3Cz%3C2.14%29%3DP%28z%3C2.14%29-P%28z%3C-0.86%29)
![=P(z](https://tex.z-dn.net/?f=%3DP%28z%3C2.14%29-%281-P%28z%3C0.86%29%29%3DP%28z%3C2.14%29-1%2BP%28z%3C0.86%29%5C%5C%5C%5C%3D0.9838226-1%2B0.8051054%5C%5C%5C%5C%3D0.788928%5Capprox0.7889%3D78.89%5C%25)
Hence, the percentage of the diameter of the total shipment of shafts will fall between 2.39 inch and 2.60 inch = 78.89%
Answer:
a) V(t) = Ldi(t)/dt
b) If current is constant, V = 0
Explanation:
a) The voltage, V(t), across an inductor is proportional to the rate of change of the current flowing across it with time.
If V represents the Voltage across the inductor
and i(t) represents the current across the inductor in time, t.
V(t) ∝ di(t)/dt
Introducing a proportionality constant,L, which is the inductance of the inductor
The general equation describing the voltage across the inductor of inductance, L, as a function of time when a current flows through it is shown below.
V(t) = Ldi(t)/dt ..................................................(1)
b) If the current flowing through the inductor is constant i.e. does not vary with time
di(t)/dt = 0 and hence the general equation (1) above becomes
V(t) = 0
Answer:
the pressure gradient in the x direction = -15.48Pa/m
Explanation:
- The concept of partial differentiation was used in the determination of the expression for u and v.
- each is partially differentiated with respect to x and the appropriate substitution was done to get the value of the pressure gradient as shown in the attached file.
Answer: (a) 36.18mm
(b) 23.52
Explanation: see attachment
It is to be noted that it is impossible to find the Maclaurin Expansion for F(x) = cotx.
<h3>What is
Maclaurin Expansion?</h3>
The Maclaurin Expansion is a Taylor series that has been expanded around the reference point zero and has the formula f(x)=f(0)+f′. (0) 1! x+f″ (0) 2! x2+⋯+f[n](0)n!
<h3>
What is the explanation for the above?</h3>
as indicated above, the Maclaurin infinite series expansion is given as:
F(x)=f(0)+f′. (0) 1! x+f″ (0) 2! x2+⋯+f[n](0)n!
If F(0) = Cot 0
F(0) = ∝ = 1/0
This is not definitive,
Hence, it is impossible to find the Maclaurin infinite series expansion for F(x) = cotx.
Learn more about Maclaurin Expansion at;
brainly.com/question/7846182
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