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serious [3.7K]
2 years ago
12

A thief steals an ATM card and must randomly guess the correct three​-digit pin code from a 9​-key keypad. Repetition of digits

is allowed. What is the probability of a correct guess on the first​ try?
Business
1 answer:
Dennis_Churaev [7]2 years ago
7 0

Answer:

The thief has a 0.11% probability of hitting the pin code on the first try.

Explanation:

Simply, if the ATM card has a 3-digit code that can be repeated, and the board has 9 numbers (for example, from 1 to 9), we must start from the smallest number that could be formed with these numbers to the highest number that these numbers could also compose, which in the case would be 111 and 999. Then, 889 different numbers could be formed (it is the distance between 111 and 999), with which the possibility of hitting the key to the first attempt would be 1 in 889 times, or 1/889.

To take the probability to a percentage, we must know that 889 / 8.89 gives 100. Therefore, dividing 1 / 8.89 we will know the percentage of probabilities of hitting the key on the first attempt: 1 / 8.89 = 0.11.

This shows us that the thief has a 0.11% probability of hitting the key on the first try.

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Rancher Hiram Walker purchased Rose, a cow, for $850 in the hope that she would breed calves. After several years of effort, Wal
Furkat [3]

Answer: Mutual mistake

Explanation:

A mutual mistake in a contract is a situation that arises when the parties in a contract make the same mistake in reference to a significant fact in the contract. i.e., they are mutually ignorant of a fact of the contract.

Had they both known about that mistake, they might not have gone into the contract so the contract is voidable in this scenario.

Both Walker and Sheerwood were mutually mistaken about the fact that Rose was pregnant when they went into the contract so this contract is voidable by this theory.

8 0
3 years ago
Sales revenue$ 4,000Purchases of direct materials$ 400Direct labor$ 450Manufacturing overhead$ 620Operating expenses$ 650Beginni
dlinn [17]

Answer:

The correct answer is D: $1900

Explanation:

Giving the following information:

Sales revenue$ 4,000

Purchases of direct materials$ 400

Direct labor$ 450

Manufacturing overhead $ 620

Operating expenses$ 650

Beginning raw materials inventory$ 200

Ending raw materials inventory$ 180

Beginning work in process inventory$ 320

Ending work in process inventory$ 410

Beginning finished goods inventory$ 250

Ending finished goods inventory$ 200

First, we need to calculate the cost of goods manufactured:

cost of goods manufactured= beginning work in process + direct materials + direct labor + manufacturing overhead - ending work in process

Direct materials= beginning inventory + purchase - ending inventory= 200 + 400 - 180= 420

cost of goods manufactured= 320 + 420 + 450 + 620 - 410= $1400

Now, we can calculate the cost of goods sold:

COGS= beginning finished inventory + cost of goods manufactured - ending finished goods

COGS= 250 + 1400 - 200= 1450

Operating income= sales  - COGS - operating expenses

Operating income= 4000 - 1450 - 650= $1900

3 0
3 years ago
Show how Cablevision can conduct an ROI analysis. Describe the information that the company should collect and how it should b c
Flauer [41]

Answer:

Explanation:

Cablevision can easily accomplish this by doing the following. First gather the number of sales of premium services and other products that non-trained individuals are accomplishing in a given time period (example, one month). Next, under the same conditions place the newly trained individuals and gather the same data from them (number of sales/subscribers gained, premium products, and other products). Finally, they would simply need to compare the difference in the number of sales to see if the training paid off. They would also need to calculate if the difference in sales surpasses the costs of training.

3 0
3 years ago
You need some money today and the only friend you have that has any is your ‘miserly' friend. He agrees to loan you the money yo
Bingel [31]

Answer:

B. The total interest = $4.35

Explanation:

The first question to answer, is  what is the present value of the annuity of the loan and then based on that the total interest can be calculated.

<h2>Present value of annuity= A x [(1-(1+r)-n)/r]*(1+r) </h2>

Where the A represents Annuity = or $20

The r represents the rate or 1.5%

and the n represents the number of periods which is 6 months

Calculating the value =

= 20 x [(1-1.015^-6)/0.015]*1.015

= 20 x [(1-0.91454219251)/0.015]*1.015

= 20*5.782644973

=$115.65

Now that the loan amount is known, the Total Interest can be calculated as follows

Total Interest= number of payments x monthly payments) - the loan amount (calculated above)

= 20 x 6 -115.65

= 120-115.65

The total interest = $4.35

8 0
3 years ago
Duff Inc. paid a 2.34 dollar dividend today. If the dividend is expected to grow at a constant 1 percent rate and the required r
Akimi4 [234]

Answer:

$24.60

Explanation:

The computation of the price for 4 years from now is shown below:

Price = Dividend ÷(Required rate of return - growth rate)

where,

Dividend is

= Dividend × (1 + growth rate)^number of years

= $2.34 × (1 + 0.01)^5

= $2.46

All the other items would remain the same

So, the price is

= $2.46 ÷ (11% - 1%)

= $24.60

8 0
3 years ago
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