Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The number of ways in which the password can be formed is 7,893,600.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that a computer system password requires five characters, all lowercase letters (remember there are 26 letters), and all the letters must be different. Therefore, if a letter is used once it can not be used again.
For the first place available options = 26 letter
Now, one letter is only used therefore, there are only 25 options available for the next place.
For the Second place available options = 25 letter
Now, two letters are only used therefore, there are only 24options available for the next place.
For the third place available options = 24 letter
Now, three letters are only used therefore, there are only 23 options available for the next place.
For the fourth place available options = 23 letter
Now, the four letter are only used therefore, there are only 22 options available for the next place.
For the fifth place available options = 22 letter
Further, the number of ways in which the password can be formed is,
Number of ways = 26 × 25 × 24 × 23 × 22 = 7,893,600
Hence, the number of ways in which the password can be formed is 7,893,600.
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Final answer:
There are 789,360 different passwords that are possible.
Explanation:
To find the number of different passwords that are possible, we can consider the problem in a step-by-step manner.
For the first character, there are 26 choices since we can choose any lowercase letter.For the second character, there are 25 choices remaining since one letter has already been used.Similarly, for the third character, there are 24 choices remaining.For the fourth character, there are 23 choices remaining.And finally, for the fifth character, there are 22 choices remaining.To find the total number of possible passwords, we can multiply these choices together: 26 × 25 × 24 × 23 × 22 = 789,360.
Simplify (1.5 • 10^9) - (7.8 • 10^8) expressed in scientific notation
You reach into a bag of coins and withdrew two coins without replacement. What is the probability you withdrew a nickel and then a dime if the bag held ten pennies, six nickels, and five dimes?
1.30/44
2.5/14
3.1/14
Answer:
Option 3. 1/14
Step-by-step explanation:
The bag held some coins that are
pennies = 10
nickels = 6
dimes = 5
total coins = 10 + 6 + 5 = 21 coins
You drew 2 coins without replacement,
so the probability that first draw will be nickel = [tex]P_{1}[/tex] = 6/21 = 2/7
Second draw will be a dime = [tex]P_{2}[/tex] = 5/20 = 1/4
P = [tex]\frac{2}{7}[/tex] × [tex]\frac{1}{4}[/tex] = 2/28 = 1/14
Option 3. 1/14 would be the answer.
Final answer:
The probability of withdrawing a nickel and then a dime from the bag without replacement is 1/14, calculated by multiplying the independent probabilities of drawing each coin in sequence (6/21 for the nickel and 5/20 for the dime).
Explanation:
The student has asked for the probability of withdrawing first a nickel and then a dime from a bag containing ten pennies, six nickels, and five dimes, without replacement. To solve this, we calculate the probability of each event independently and then multiply these probabilities, since the events are dependent.
First, the probability of drawing a nickel: There are six nickels and a total of 21 coins, so the probability is 6/21. After drawing a nickel, there are five dimes left out of 20 coins total, thus the second probability is 5/20. Multiplying these together gives us:
(6/21) * (5/20) = 30/420 = 1/14
So, the probability of drawing a nickel and then a dime without replacement from this bag of coins is 1/14.
3x+5y=4, 2x-y=-7 solve using substitution
y-7/2=1/2 (x-4) is written in point-slope form. What is the y-intercept of the equation?
How to find the opposite and the reciprocal of the number 500
How do you solve R= us for u
Can you square root both sides of inequality
Please,please,please someone answer this!! It's for a math performance task and It's overdue by a couple days so I need to finish it soon!! Please,please,please someone help me!! Worth 50 points PLUS I'll give the person who answers FIRST and BEST the brainlest answer.
Using complete sentences, create your own scenario involving the United States' national debt with any two decades listed in the table. The scenario should include multiplication or division between the numbers in scientific notation. YearUS Nation Debt (in US dollars) 1960 $286,330,760,848.37 1970 $370,918,706,949.93 1980 $907,701,000,000.00 1990 $3,233,313,451,777.25 2000 $5,674,178,209,886.86 2010 $13,561,623,030,891.79
The scenario describes calculating the multiple of growth in the US national debt from 1970 to 1990 using scientific notation, showing that the debt was nearly 9 times larger in 1990 than in 1970
Let's create a scenario involving the United States' national debt from two different decades using multiplication in scientific notation. Imagine the government wanted to compare the debt from 1970 to that of 1990 to analyze the growth. The debt in 1970 was approximately $370.9 billion, and in 1990, about $3,233.3 billion. To find out how many times larger the debt was in 1990 compared to 1970, we'd convert these numbers into scientific notation and divide the 1990 figure by the 1970 figure.
In scientific notation, the 1970 debt is 3.709 x 1011 dollars, and the 1990 debt is 3.2333 x 1012 dollars. To perform the division, we have (3.2333 x 1012) / (3.709 x 1011) which gives us approximately 8.71. This means the national debt in 1990 was nearly 9 times larger than it was in 1970
Which ratios forms a proportion with 25/35?
A.3/5
B.15/21
C.24/34
D.5/10
Answer: its b
Step-by-step explanation:
Find the perimeter of triangle XYZ with vertices X(3,7), Y(-1,-5) & Z (6,-4)
The perimeter of triangle XYZ with vertices X(3,7), Y(-1,-5) & Z (6,-4) will be [4√10 + 5√2 + √130] units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The perimeter of the triangle is determined by adding together all of its sides.
The vertices are given below.
X(3,7), Y(-1,-5) & Z (6,-4)
The length of XY is given as,
(XY)² = (7 + 5)² + (3 + 1)²
(XY)² = 144 + 16
XY = 4√10 units
The length of YZ is given as,
(YZ)² = (- 4 + 5)² + (6 + 1)²
(YZ)² = 1 + 49
YZ= 5√2 units
The length of XZ is given as,
(XZ)² = (7 + 4)² + (3 - 6)²
(XZ)² = 121 + 9
XZ = √130 units
The perimeter of triangle XYZ is given as,
P = 4√10 + 5√2 + √130
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0.45 divided by 150
Help me please 20 points for being a helping hand
Answer: 0.003
Explanation:
How to find the domain and range for this one
Which mathematical term cannot be defined for all cases in a system of geometry?
Answer:
The answers are :
1. parallel lines
2. midpoint of a line segment
Step-by-step explanation:
The mathematical terms that cannot be defined for all cases in a system of geometry are:
1. parallel lines and
2. midpoint of a line segment.
A parallel line cannot be defined as lines do not occupy any space. It is a straight one dimensional figure with no thickness and it extends infinitely in both directions.
The points also do not have any dimension like length, area, volume etc.
Calculate the perimeter of an equilateral triangle which has sides of 14cm
what is the answer to 2h x 3u
A. Given the equation 2(3x − 4) = 5x + 6, solve for the variable
What is the rate at which work is done on the refrigerator? carnot?
The rate at which work is done on the refrigerator and Carnot refrigerator depends on the cooling effect desired and the efficiency of the refrigerator.
For a refrigerator,
The coefficient of performance is Qc / W
For a Carnot refrigerator,
The coefficient of performance is Tc / (Th - Tc).
We have,
The rate at which work is done on the refrigerator depends on the specific context or situation.
In general terms,
Work is done on a refrigerator when an external force or energy is applied to the refrigerator to compress the refrigerant and drive the cooling cycle.
This work is usually done by a compressor, which requires energy input to operate.
The efficiency of a refrigerator, including Carnot refrigerators, is given by the coefficient of performance (COP).
The COP is defined as the ratio of the cooling effect (Qc) to the work input (W):
COP = Qc / W
For a Carnot refrigerator, which is an idealized and reversible refrigerator operating between two temperature reservoirs, the COP is given by:
COP = Tc / (Th - Tc)
Where:
Tc = Temperature of the cold reservoir (inside the refrigerator)
Th = Temperature of the hot reservoir (outside the refrigerator)
Generally, higher-efficiency refrigerators require less work input to achieve a given cooling effect.
However, the actual rate of work done on a specific refrigerator depends on its design, efficiency, and the cooling requirements of the system.
Thus,
The rate at which work is done on the refrigerator and Carnot depends on the cooling effect desired and the efficiency of the refrigerator.
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Anna is 4ft 9in tall. Express Anna's height infeet only by using a mixed number. If necessary, simplify the fravtion part of the mixed number.
12 inches in a foot so 9 inches = 9/12 of a foot
9/12 reduces to 3/4
so 4 ft 9 inches = 4 3/4 feet
The lumberyard where you work sold a customer two boards . They measure 10 1/4 feet and 8 2/4 feet what is the total of the two boards
Solve the following system of linear equation using any algebraic method. If possible, check your solution.
2x-5y=3
X-2y=7
if an employee owes 250 for payroll taxes how much will the employer need to pay for payroll taxes
The employer would need to pay $19.13 in payroll taxes for this employee.
What is payroll tax?Payroll tax is a tax that employers are required to deduct from their employee's wages and pay to the government on their behalf.
It is a tax on the wages or salaries that employees earn and is used to fund various government programs, such as Social Security, Medicare, and unemployment insurance.
We have,
The amount an employer needs to pay for payroll taxes depends on several factors.
The employee's gross wages
The type of payroll taxes.
The tax rates are in effect.
Now,
The two primary types of payroll taxes that employers are responsible for are:
Social Security tax:
This tax funds the Social Security program and is calculated as a percentage of the employee's gross wages, up to a certain limit.
In 2023, the Social Security tax rate is 6.2% for both employers and employees, and the wage base limit is $147,000.
Medicare tax:
This tax funds the Medicare program and is calculated as a percentage of the employee's gross wages, with no limit.
In 2023, the Medicare tax rate is 1.45% for both employers and employees.
Assuming the employee owes $250 for Social Security and Medicare taxes combined, and the employer is responsible for paying the same percentage rate as the employee,
The employer would need to pay an additional $250 in payroll taxes.
i.e
Social Security tax.
= $250 x 6.2%
= 250 x 6.2/100
= $15.50
Medicare tax.
= $250 x 1.45%
= 250 x 1.45/100
= $3.63
Total payroll taxes owed by the employer.
= $15.50 + $3.63
= $19.13
Therefore,
The employer would need to pay $19.13 in payroll taxes for this employee.
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Elizabeth received her last check for the summer job on the 12th and withdrew her car down payment after making another deposit. What is her balance C?
A. $273.50
B. $396.50 (My answer)
C. $285.50
D. $385.50
I added the deposits and then subtracted the withdrawal, is that right?
Answer: Yes, Her balance C=$396.5.
Step-by-step explanation:
From the given table, the balance amount on 2nd September = $920
On 5th September (9/5/06), Elizabeth deposit amount = $65.00
On 12th September (9/12/06), Elizabeth deposit amount = $61.50
Deposit amount till 12th September=[tex]\$65+\$61.5=\$126.50[/tex]
Therefore, the balance amount on 12th September = [tex]\$920+\$126.20=\$1046.20[/tex]
On 12th September , Elizabeth withdrawal amount = $650.00
Therefore, the balance amount = [tex]C=\$1046.20-\$650.0=\$396.5[/tex]
Hence, B is the right answer.
Her balance C=$396.5.
If AB - 27 and BC=13 then find the length of AC
.help me please thanks
The angle between the minute hand and the hour hand of a clock is 90 degrees. What time is it? Justify your answer.
If the APR of a savings account is 1.9% and interest is compounded semiannually, what is the approximate APY of the account
A. 1.9166%
B. 1.9136%
C. 1.9090%
D. 1.9151%
Answer:
C. 1.9090%
Step-by-step explanation:
We have been given that the APR of a savings account is 1.9% and interest is compounded semiannually. We are asked to find the APY of the account.
To solve our given problem, we will use APY formula.
[tex]APY=(1+\frac{r}{n})^n-1[/tex], where,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year.
Let us convert our given rate in decimal form.
[tex]1.9\%=\frac{1.9}{100}=0.019[/tex]
Upon substituting [tex]r=0.019[/tex] and [tex]n=2[/tex] in APY formula we will get,
[tex]APY=(1+\frac{0.019}{2})^2-1[/tex]
[tex]APY=(1+0.0095)^2-1[/tex]
[tex]APY=(1.0095)^2-1[/tex]
[tex]APY=1.01909025-1[/tex]
[tex]APY=0.01909025[/tex]
Since APY is in decimal form, so we will multiply APY by 100 to get as percentage.
[tex]APY=0.01909025\times 100[/tex]
[tex]APY=1.909025\%\approx 1.9090\%[/tex]
Therefore, the the approximate APY of the account 1.9090% and option C is the correct choice.
Wes used 49 quarts of oil when he changed the oil in 7 cars. Complete and solve the proportion to find how many quarts of oin he would use to change the oil in 20 cars, assuming that all cars need to the same quanity of oil.
the map shows the route for a race. you are at a, which is 6000 feet from the first checkpoint b. the second checkpoint c is located at the midpoint between b and the end of the race d. the total race is 3 miles. how far apart are the 2 checkpoints? (hint: there are 5280 feet in a mile.) 5280 feet 6000 feet 4920 feet 9840 feet i will draw the picture!
50 students in 4 buses how many in each bus
A problem states: "There are 5 more girls than boys at the party. There are 27 children at the party in all. How many boys are there at the party?"
Let b represent the number of boys.
Which expression represents the number of girls?
A .b+5 B. b*5 C. b-5 D. 5-b
27-5 = 22
22/11 = 11
there are 11 boys at the party
expression = b+5