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.
Answer:
Fixed cost
Explanation:
Variable costs are costs that change with change in the quantity of the goods or services produced by the business. For example the cost of raw materials.
Fixed costs are costs that do not change with change in the quantity of the goods or services produced by the business. For example interest payments.
In the given question, payment of $10 per pound has to be made no matter what the production level for the year, so this is an example of <u>fixed cost</u>
Answer:
Option (B) is correct.
Explanation:
Given that,
Required reserve ratio = 15 percent
Bonds sell to public = $25.5 million
Bank reserves decreases by $25.5 million because of the purchasing of bonds from the Fed.
Money multiplier:
= 1/Required reserve ratio
= 1/0.15
= 6.67
Therefore, the money supply decreases by:
= Money multiplier × $25.5 million
= 6.67 × $25.5 million
= $170 million
Answer:
It means movies are relatively cheaper than working hours
Explanation:
In order to estimate the relativity of the two activities, there is a need to compare the changes over ten years
1. 10 years ago, Movie ticket= $5, 10 Years later Movie ticket= $8, the 10 year difference is $3
2. 10 years ago, average hourly wage = $10, 10 years later, average hourly wage = $20, the 10 year difference is $10
First, it means for the $3 change in movie ticket cost, there was a $10 change in the average hourly wage.
Put differently, while movie ticket got a 60% increase in price 3/5 x 100=60%
Average hourly wage got 100% increase 10/10 x 100= 100%
It means that working hours got more expensive and movie tickets got cheaper