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2 years ago

5

1. Determine if the following situation is biased or unbiased: 500 students at a local high school are randomly chosen and asked

what their favorite local restaurant is

1 answer:

faltersainse [42]2 years ago

8 0

The correct answer is unbiased.

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Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

Started business whit cash Rs 250000 and Machinery Rs 200000<br>Accounting equation

oksano4ka [1.4K]

$\huge\purple{Answer}$

In case there is no double entry system is followed, profit can be calculated by comparing the opening and closing capital. In the given situation this can be calculated as:

Opening Capital Rs.200000

Add: Capital Introduced Rs.200000

Add: Profit for the year Rs. 250000

Less: Loss for the year Rs.NIL

Less: Drawings Rs. 30000

--------------------

Capital at the end of the year Rs.620000

-------------------

Loan taken is a liability and loan given is asset, that will not affect the capital.

<h2>ƑƠԼԼƠƜ MЄ❤</h2>

7 0

2 years ago

Read 2 more answers

2 eight and eleven hundredths as a decimal

german

Answer:

28.11

Step-by-step explanation:

6 0

2 years ago

Measuring and arcs.

n200080 [17]

Answer:

Hope this helps

Step-by-step explanation:

3. Minor arc, 44°

4. Major arc, 140°

5. Minor arc, 44°

6. Major arc, 316°

7. Semi circle, 180°

8. Major arc, 140°

9. 38°

10. 52°

11. 142°

12. 128°

13. 232°

14. 308°

7 0

3 years ago

503,497 and 26,475 the value of 7 in?is ?times the value of 7 in ?

Vlad1618 [11]

1 times greater than 503,497

4 0

2 years ago