He so I use a model to divide 3/4 by 1/5

How many 10-digit ternary strings are there that contain exactly two 0s, three 1s, and five 2s?

Svet_ta [14]

There are $\dbinom{10}2$ ways of picking 2 of the 10 available positions for a 0. 8 positions remain.

There are $\dbinom83$ ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's $\dbinom55=1$ way of doing that.

So we have

$\dbinom{10}2\dbinom83\dbinom55=\dfrac{10!}{2!(10-2)!}\dfrac{8!}{3!(8-3)!}\dfrac{5!}{5!(5-5)!}=2520$

The last expression has a more compact form in terms of the so-called multinomial coefficient,

$\dbinom{10}{2,3,5}=\dfrac{10!}{2!3!5!}=2520$

5 0

3 years ago

On August 31, 2021, Cullumber Company had a cash balance per its books of $26,420. The bank statement on that date showed a bala

JulsSmile [24]

a) The preparation of the bank reconciliation statement on August 31 for Cullumber Company is as follows:

<h3>Bank Reconciliation Statement</h3>

Balance as per bank statement $16,780

Add uncredited deposits of 17,220

Check #705 overstated 36

Less uncashed checks (5,780)

Adjusted bank statement balance of $28,256

b) The preparation of the necessary adjusting entries on August 31 is as follows:

Debit Cash $2,050

Credit Accounts Receivable (EFT deposits) $2,050

Debit Accounts Receivable (R. Dubai) $197

Credit NSF charges $187

Credit Service charges $10

Debit Bank service charges $27

Credit Cash $27

<h3>What is bank reconciliation?</h3>

Bank reconciliation is the comparison of an entity's records with those of its bank, to uncover any differences between these two sets of records of bank transactions.

Bank reconciliation is carried out by the preparation of a bank reconciliation statement, which outlines the deposits, withdrawals, and other activities affecting a bank account for a specific period.

<h3>Data and Calculations:</h3>

Cash balance per books on August 31, 2021 = $26,420

Bank statement balance = $16,780

<h3>Analysis of Discrepancies:</h3>

1. Uncredited deposit = $17,220

2. EFT deposits = $2,050

3. Outstanding checks:
Check #673 = $1,230

Check #710 = $2,330

Check #712 = $2,220

Total outstanding checks = $5,780 ($1,230 + $2,330 + $2,220)

4. NSF charge = $187

Service charge = $10

5. Bank service charges = $27

6. Check #705 overstated = $36 ($173 - $137)

<h3>Adjusted Cash Account:</h3>

Balance as per Cash Book $26,420

EFT deposits $2,050

Less:

NSF charge 187

Bank service charges 27 (214)

Adjusted cash book balance $28,256

Learn more about bank reconciliation statements at brainly.com/question/15525383

6 0

3 years ago

What’s the fraction of 65 percent

Shtirlitz [24]

65% as a fraction is 65/100 which can also be reduced to 13/20

4 0

3 years ago

For the solid described below, find the dimensions giving the minimum surface area, given that the volume is 64 cm3. a closed cy

stepladder [879]

The volume of the cylinder is:
V = pi * r ^ 2 * h = 64
The surface area is:
A = 2 * pi * r ^ 2 + 2 * pi * r * h
We write the area as a function of r:
A (r) = 2 * pi * r ^ 2 + 2 * pi * r * (64 / (pi * r ^ 2))
Rewriting:
A (r) = 2 * pi * r ^ 2 + 2 * (64 / r)
A (r) = 2 * pi * r ^ 2 + 128 / r
Deriving:
A '(r) = 4 * pi * r - 128 / r ^ 2
We equal zero and clear r:
0 = 4 * pi * r - 128 / r ^ 2
128 / r ^ 2 = 4 * pi * r
r ^ 3 = 128 / (4 * pi)
r = (128 / (4 * pi)) ^ (1/3)
r = 2.17 cm
The height is:
h = 64 / (pi * r ^ 2)
h = 64 / (pi * (2.17) ^ 2)
h = 4.33 cm
Answer:
The dimensions giving the minimum surface area are:
r = 2.17 cm
h = 4.33 cm

8 0

3 years ago

Oh my gosh i need some helpp

fenix001 [56]

Answer: the answers are 10(x+15)+20(x+30) and 10x+150+20x+600 and 30x+750

Step-by-step explanation:

4 0

3 years ago