Saul is testing an installation and discovers a short circuit. What's causing this?

Suppose that on your 21st birthday you are given a $1,000,000 trust fund. If you can earn 4% in annual compound interest, how mu

Elodia [21]

Answer:

annual payment = $40000

Explanation:

given data

annual compound interest = 4%

fund value = $1,000,000

to find out

annual payment

solution

we get here annual payment that is express as

annual payment = fund value × annual compound interest ..................1

put here value we get

annual payment = 4% × $1,000,000

annual payment = 0.04 × $1,000,000

annual payment = $40000

8 0

3 years ago

Hello it's my new id<br>I am numu

Sonja [21]

Answer:

i am felix

Exp lanation:

nice to meet you

6 0

3 years ago

An urn contains r red, w white, and b black balls. Which has higher entropy, drawing k ~2 balls from the urn with replacement or

svetlana [45]

Answer:

The case with replacement has higher entropy

Explanation:

The complete question is given:

'Drawing with and without replacement. An urn contains r red, w white and b black balls. Which has higher entropy, drawing k ≥ 2 balls from the urn with replacement or without replacement?'

Solution:

- n drawing is the same irrespective of whether there is replacement or not.

- X to denotes drawing from an urn with r red balls, w white balls and b black balls. So, n = b + r + w.

We have:

p_X(cr) = r / n

p_X(cw) = w / n

p_X(cb) = b / n

- Now, if Xi is the ith drawing with replacement then Xi are independent and p_Xi (x) = pX(x) for x e ( cr , cb , cw ).

- Now, let Yi be the ith drawing with replacement where Yi are not independent p_Yi (x) = pX(x) for x ∈ X.

- To see this, note Y1 = X and assume it is true for Yi and consider Yi+1:

p_Y(i+1) (cr) = p(Y(i+1),Yi).(cr, cr) + p(Y(i+1),Yi).(cr, cw) + p(Y(i+1),Yi).(cr, cb)

= r*( r - 1 )/n*(n-1) + w*r/n*(n-1) + b*r/n*(n-1) = r / n = p_X(cr)

- This means, using the chain rule and the conditioning theore m:

H(Y1, Y2, . . . , Yn) = H(Y1) + H(Y2|Y1) + H(Y3|Y2, Y1) + ... H(Yn|Yn−1, . . . , Y1)

=< SUM H(Yi) = n*H(X) = H(X1, X2, . . . , Xn)

- with equality if and only if the Yi were independent:

H(Y1, Y2, . . . , Yn) < H(X1, X2, . . . , Xn)

Answer: The case with replacement has higher entropy

4 0

3 years ago

A solid steel shaft has to transmit 100 kW at 160 RPM. Taking allowable shear stress at 70 Mpa, find the suitable diameter of th

MA_775_DIABLO [31]

Answer:

The diameter of the shaft is 80.5 mm.

Explanation:

Torsion equation is applied for the diameter of the solid shaft.

Step1

Given:

Power of the shaft is 100 kw.

Revolution per minute is 160 RPM.

Allowable shear stress is 70 Mpa.

Maximum torque is 20% more than the mean torque.

Step2

Mean torque is calculated as follows:

$P=T\omega$

$P=T(\frac{2\pi N}{60})$

$100\times 1000=T(\frac{2\pi 160}{60})$

T=5968.31 N-m

Step3

Maximum torque is calculated as follows:

$T_{max}=(1+\frac{20}{100})T$

$T_{max}=1.2T$

$T_{max}=1.2\times 5968.31$

T_{max}=7161.97 N-m

Step4

Apply torsional equation for diameter of shaft as follows:

$\tau _{max}=\frac{T_{max}}{\frac{\pi d^{3}}{16}}$

$70\times 10^{6}=\frac{7161.97}{\frac{\pi d^{3}}{16}}$

$d^{3}=5.211\times 10^{-4}$

d=0.0805 m

or,

d=80.5 mm

Thus, the diameter of the shaft is 80.5 mm.

7 0

4 years ago

Legal metrology would protect consumers from businesses that do not take measurements according to defined measuring regulations

sergij07 [2.7K]

From what my research concluded, true

5 0

4 years ago