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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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Suppose the demand for hard-wood flooring increases, while the demand for wall-to-wall carpeting decreases. Based on this change
Hatshy [7]

Answer:

Option A                                              

Explanation:

Frictional joblessness is one form of joblessness. This is often referred to as searching insecurity, that can be dependent on specific conditions. When an employee applies for a position or moves from one workplace to another which is time wasted in employment than such condition is called frictional unemployment.

There is frictional instability, since both employers and employees are diverse, and the dynamics of market forces can lead in a shortage. Such a misalignment may be linked to expertise, salary, job time, place, mood, taste, and many other variables.

8 0
3 years ago
According to the quantity theory of money, a 5 percent increase in money growth increases inflation by ___ percent. According to
lina2011 [118]

Answer:

both blanks can be filled by <u>5%</u>

Explanation:

The quantity theory of money states that there is a proportional relationship between the money supply and the general level of prices. An increase in the money supply will increase the general level of prices in the same proportion (called inflation).

The Fisher equation measures the relationship between nominal and real interest rates. Real interest rate = nominal interest rate - inflation rate.

So if inflation increases, the nominal inflation rate will increase to keep the real interest rate the same.

8 0
2 years ago
The company uses the absorption costing approach to cost-plus pricing described in the text. The pricing calculations are based
son4ous [18]

Answer:

$81.96 per unit

Explanation:

For computing the selling price using the absorption costing approach we need to do the following calculations which are shown below:

Unit Product Cost = Direct materials + Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead

= $26.50 + 15.50 + 3.70 + [$156,71,400 ÷ 97,000 Units]

= $26.50 + 15.50 + $3.70 + $16.20

= $61.90

Now

Selling and administrative expenses  is

=$1,540,000 + [97,000 Units × $3.60]

= $1,540,000 + 349,200

= $1,889,200

And,

Markup on absorption cost

= [(Investment × Return on Investment) + Selling and administrative expenses] ÷ (Number of units × unit product cost)

= [($380,000 × 15%) + 1,889,200] / [97,000 × $61.90]

= $19,46,200 ÷ 60,04,300

= 0.3241 or  32.41%

So,

The selling price based on the absorption costing approach

= Unit product cost × (1 + Markup on absorption cost)

= $61.90 per unit × (1 + 0.3241)

= $81.96 per unit

5 0
3 years ago
Snow Cap Company has a unit selling price of $250, variable costs per unit of $170, and fixed costs of $160,000. Compute the bre
snow_tiger [21]

The break-even point in units using the mathematical equation  is 2,000 in units and the unit contribution margin is 80 per unit.

<h3>Break even points in units</h3>

a. Break-even point in unit

Using this formula

Break-even point in unit=Fixed cost/(Selling price-Variable cost)

TC = FC + VC

Sales - TC = Net Income

Sales - TC = 0

Sales - FC - VC = 0

2500(Q)-160,000-170(Q) = 0

80(Q)-160,000 = 0

80(Q)=160,000

Q=160,000/80

Q=2,000 break-even in units

b. Unit contribution margin

Unit contribution margin = Selling price- Variable cost

Unit contribution margin= $250 - $170

Unit contribution margin =$80 per unit

Inconclusion the break-even point in units using the mathematical equation  is 2,000 in units and the unit contribution margin is 80 per unit.

Learn more about break-even point here:brainly.com/question/9212451

8 0
2 years ago
Emma's Electronics Incorporated has total assets of ​$63 million and total debt of ​$39 million. The company also has operating
Annette [7]

Answer:

(a) 62%

(b) 3.83 times

(c) Yes

Explanation:

(a) Ellie's debt ratio:

= Total Debt ÷ Total assets

= $39 million ÷ $63 million

= 0.62 or 62%

(b) Ellie's times interest earned ratio:

= Interest ÷ EBIT

= $23 million ÷ ​$6 million

= 3.83 times

(c) Yes, it has enough times interest ratio.

If Interest expenses increased to $7 Million, then

Company could easily raise more debt to finance additional funding needs.

6 0
3 years ago
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