Answer:
3 Letters Word: 6 Distinct Ways: 4 Letters Word: 24 Distinct Ways: 5 Letters Word: 120 Distinct Ways: 6 Letters Word: 720 Distinct Ways: 7 Letters Word: 5,040 Distinct Ways: 8 Letters Word: 40,320 Distinct Ways: 9 Letters Word: 362,880 Distinct Ways: 10 Letters Word: 3,628,800 Distinct Ways
Step-by-step explanation:
The number of ways in which the word 'PHILOSOPHY' can be arranged is 453,600.
What is a factorial?The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.
As we can see that the word 'PHILOSOPHY' has 10 letters therefore, the letters of the word can be arranged in the 10! manner, but it contains the letter P, H and O twice therefore, there will be words that will look the same and are counted twice. Thus, the number of ways the word PHILOSOPHY can be arranged are,
[tex]\text{Number of ways} = \dfrac{10!}{2! \times 2! \times 2!} = 453,600[/tex]
Hence, the number of ways in which the word 'PHILOSOPHY' can be arranged is 453,600.
Learn more about Factorial:
https://brainly.com/question/16674303
Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5
years? Round your answer to two decimal places.
Answer:
FV= $3,725.07
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,294
Number of periods (n)= 5 years
Interest rate (i)= 2.6% = 0.026
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1+i)^n
FV= 3,294*(1.026^5)
FV= $3,725.07
Can someone help me
Answer:
23.27 - 5. 3 = 17.97
Step-by-step explanation:
please *atleast* answer one of them!
1. what is the difference when (t-3v) is subtracted from the sum of (7t-2u-3v) and (3t+5u-8v)?
2. Which of the following best describes “The movement of a lift is positive 2 levels”? *
3. How many like terms are there in the expression 2x + 3y - 5x + yz - x?
Answer and Step-by-step explanation:
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1. Let's write out the equation to subtract.
7t - 2u - 3v - (t - 3v)
Distribute the negative to the t and -3v.
7t - 2u - 3v - t + 3v (The negatives cancel out)
Now simplify by combining like terms.
6t - 2u
This is the answer because the 3v and -3v cancel out.
2. I don't really understand what this is saying. Is there answer choices for this? But what I think its saying is that the lift has a constant of 2.
3. To find out the amount of terms, we would simplify the equation.
2x + 3y - 5x + yz - x
-4x + 3y + yx
Here, we can see that we have 3 terms in this expression.
-4x is the first term, +3y is the second term, and +yx is the third term.
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#teamtrees #WAP (Water And Plant)
The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the equation y = (1/3)x, where x represents the number of animals and y represents pounds of food. If y varies directly with x, which graph represents the situation?
Answer:
It is the second graph.
Step-by-step explanation:
5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommate pays 425 per month. how much is the electricity bill
Answer:
Electricity bill is 175
Step-by-step explanation:
Given
[tex]Rent = 1800[/tex]
[tex]Gas = 150[/tex]
[tex]Each\ Roommate = 425[/tex] monthly
[tex]Number\ of\ Roommate = 5[/tex]
Required
Determine the electricity bill
If each roommate pays 425, then 5 roommates pay 5 * 425
[tex]Total = 5 * 425[/tex]
[tex]Total = 2125[/tex]
This implies that: the monthly cost of room, gas and electricity add up to 2125.
In other words,
[tex]Gas + Rent + Electricity = 2125[/tex]
[tex]150 + 1800+ Electricity = 2125[/tex]
[tex]1950+ Electricity = 2125[/tex]
[tex]Electricity = 2125 - 1950[/tex]
[tex]Electricity = 175[/tex]
Hence, the electricity bill is 175
A french class has a total of 25 student.The number of males is 7 more than the number of females how many males and how many females are in the class?
Answer:
16 males and 9 females.
Step-by-step explanation:
If you subtract 7 from 25 you get 18. If you split 18 in half you get 9. Which means if you add 7 to 9 you get the number of males, which leaves you with 9 students left so the rest are females.
Answer:
16 males and 9 females
Step-by-step explanation:
To solve this we can use a system of equations.
Let's start by naming the number of females x.
The number of males would then be y.
Using these variables, we can set up 2 equations using info provided:
A french class has a total of 25 students, -> x+y=25
The number of males is 7 more than the number of females -> x+7=y
Use substitution to solve.
From the second equation:
x+7=y
Subtract 7 from both sides.
x=y-7
Substitute that into the first equation.
x+y=25
y-7+y=25
Combine like terms.
2y-7=25
Add 7 to both sides.
2y=32
Divide both sides by 2.
y=16
Substitute y=16 into equation 2.
x+7=y
x+7=16
Subtract 7 from both sides.
x=9
Therefore, there are 16 males and 9 females in the french class.
Can anyone please help FAST! I’m looking for the correct answer and how you explain it! I’ll mark brainlist please and thank you!
Answer:
Part 1: y=2x-12
Part 2: 12=2x-y
Step-by-step explanation:
Given Information:
m (slope) = 2
There is a point: (5, -2)
PART 1
Solution: Use the formula: [tex]y=m(x-x_{1} )+y_{1}[/tex]
y=2(x-(5))+(-2)
y=2x-10-2
y=2x-12
PART 2
y=2x-12 (from part 1)
0=2x-y-12
12=2x-y
A die is rolled 5 times. What is the probability that 1 occurs twice, 2, 3 and 4 occur once each, and 5 and 6 do not occur (round off to fourth decimal place)
Answer:
0.0077
Step-by-step explanation:
From the given information;
Each outcome possesses the same probability of 1/6 in a single roll.
The required probability can be estimated by using the multinomial distribution;
Therefore;
[tex]P = \dfrac{5!}{2!\times 1!\times 1!\times\times 1! }\times (\dfrac{1}{6})^2\times (\dfrac{1}{6})\times (\dfrac{1}{6})\times (\dfrac{1}{6})[/tex]
[tex]P = 60\times (\dfrac{1}{36})\times\dfrac{1}{216}[/tex]
P = 0.0077
The required probability = 0.0077 to 4 decimal decimals
FINANCE
4. Which of the following is NOT a reason why the required return on a bond may differ from its par value?
A. The required rate of return exceeds the coupon value, so the bond sells at a premium.
B. The required rate of return exceeds the coupon value, so the bond sells below par value.
C. The required rate of return is less than the coupon value, so the bond sells at a premium.
D. The required rate of return is less than the coupon value, so the bond sells below par value.
Answer:
I think the answer is B
Step-by-step explanation:
Thank you
a proportion question
Answer:
because x,y,z are in continuous proportion
=> x/y = y/z
<=> xz = y² =>
[tex]\frac{xz}{y} =y\\\\=>\frac{x^{3}z^{3} }{y^{3} }=y^{3}[/tex](1)
with (1), we have:
[tex]x^{2}y^{2}z^{2}(\frac{1}{x^{3} }+\frac{1}{y^{3} }+\frac{1}{z^{3} })\\\\= (xyz)^{2}(\frac{1}{x^{3} } +\frac{y^{3} }{x^{3}z^{3} }+\frac{1}{z^{3} })\\\\=(xyz)^{2} (\frac{x^{3}+y^{3}+z^{3} }{x^{3}z^{3}} )\\\\=y^{2}.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\= xz.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\=x^{3}+y^{3}+z^{3}[/tex]
Step-by-step explanation:
Thanks for the help :)
Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y HP es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y El total de impresoras Cannon y Hp asciende a 123
Answer:
En la tienda hay 123 impresoras Epson, 82 impresoras HP y 41 impresoras Cannon.
Step-by-step explanation:
Para determinar el número de impresoras de cada marca, se deben plantear las siguientes ecuaciones:
E + HP = 5 x C
E = 3 x C
C + HP = 123
Así, teniendo en cuenta estas ecuaciones y los valores de cada marca dentro del stock de la tienda, se puede plantear la siguiente equivalencia:
Si E = 3C y E + HP = 5C, entonces HP = 2C, ya que 5C - 3C = 2C.
Entonces, las equivalencias son las siguientes:
E = 3C
HP = 2C
Si C + HP = 123, podríamos decir que 3C = 123. Por ello, dado que 123 / 3 es igual a 41, el número de impresoras Cannon asciende a 41 unidades.
A su vez, el número de impresoras HP es de 82 unidades (41 x 2), mientras que el número de impresoras Epson asciende a 123 unidades (41 x 3).
Find the slope and the y−intercept of the line in the graph.
Answer:
hgnbgnbgn
Step-by-step explanation:gnhgbnghnb
Stanley drove a race car an average speed of 120 miles per hour for 3 minutes. How far did Stanley drive the race car?
Answer:
6 miles
Step-by-step explanation:
3 minutes = 1/20 of an hour
120 miles x 1/20 of an hour = 6 minutes
Which one is bigger 1 3/5 or 1.9
Answer:
1.9
Step-by-step explanation:
1 3/5 is the same as 1.6. So, which ones bigger? 1.9.
1. Sally decided to go early Christmas shopping at a local Wal-Mart. There was
a Black Friday sale and she bought a TV that was originally $200. The TV
was marked down 25%. How much did Sally pay after it was marked down?
(1 point)
T
Answer:
$175
Step-by-step explanation:
Convert the rate to a unit rate. What is 124 feet walked in 10 seconds equal per second?
Answer:
12.4 feet per second
Step-by-step explanation:
Walking 124 feet in 10 seconds is the fraction [tex]\frac{124 feet}{10 seconds}[/tex] this is the same as [tex](\frac{124}{10}) \frac{feet}{seconds}[/tex] We get a decimal by dividing 10 into 124 [tex](12.4)\frac{feet}{seconds}[/tex] That's 12.4 feet per secondAn electronics store has a clearance sale
whereby everything in store is marked down
by 20% of the original price. Jay buys a
Bluetooth speaker with an original price of
R950.00. When he gets to the till, the cashier
lets him know that the speaker is marked
down a further 8% on the reduced price.
i. How much will Jay pay for the speaker?
ii. What is the final discount percentage Jay
gets off the original price?
Answer:
i. R699. 2
ii. 26.4%
Step-by-step explanation:
Given the following data;
First discount (on original price) = 20%
Second discount (on reduced price) = 8%
Original price = R950.00
*To find how much Jay will pay*
First discount;
[tex] Discount = \frac {20}{100} * 950[/tex]
[tex] Discount = 0.2 * 950[/tex]
Discount = R190.00
Reduced price = 950 - 190
Reduced price = R760.00
Second discount;
[tex] Discount = \frac {8}{100} * 760[/tex]
[tex] Discount = 0.08 * 760[/tex]
Discount = R60.8
Selling price = 760 - 60.8
Selling price = R699.2
Therefore, Jay will pay R699.2 for the speaker.
ii. To find the final discount percentage;
[tex] Percent \; discount = \frac {original \;price - selling \; price}{original price} * 100[/tex]
Substituting into the equation, we have;
[tex] Percent \; discount = \frac {950 - 699.2}{950} * 100[/tex]
[tex] Percent \; discount = \frac {250.8}{950} * 100[/tex]
[tex] Percent \; discount = 0.264* 100[/tex]
Percent discount = 26.4%
Therefore, the final discount percentage Jay gets off the original price is 26.4%.
What is the slope through the points
(1,-3) and (2,1)
Answer:
The slope is 4
The equation is y=4x-7
Step-by-step explanation:
y-y/x-x I used this equation and plugged the numbers in.
What is i2=-1 math test
Answer:
Your answer is: ↓
If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]
If you are trying to figure if that equation is determined T/F: The answer is T.
If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]
Step-by-step explanation:
Hope this helped : )
A Normal distribution has mean µ = 61.6. Find it’s standard deviation if 20% of the values are greater than 70. (Hint--use the z-score formula).
Answer:
The value is [tex]\sigma = 9.976[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 61.6[/tex]
Given that 20% of the values are greater than 70, the z-score to the right of the curve corresponding to 20% (0.2) of the values is
[tex]z-score = 0.842[/tex]
Generally this z-score is mathematically represented as
[tex]z-score = \frac{x - \mu }{\sigma }[/tex]
Here x = 70
So
[tex]0.842 = \frac{70 - 61.6 }{\sigma }[/tex]
=> [tex]\sigma = 9.976[/tex]
Ч=3x-2 Help please?
Answer:
x=2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
May u please help me ill give out the brainly
Answer:
24x+18y+10
Step-by-step explanation:
start by distributing so 6*4x and 6*3y
that give you 24x+18y+10
A right cylinder-shaped water tank is used to supply water to a reservoir. If the cylinder has a diameter of 16 feet and a height of 22 feet, what is a reasonable estimate of the maximum amount of water the tank can hold? (Use π≈3.14)
9514 1404 393
Answer:
4421 cubic feet
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr²h
where r is the radius (half the diameter), and h is the height.
Using your numbers, the cylinder volume is ...
V = (3.14)(8 ft)²(22 ft) ≈ 4421.12 ft³
The maximum amount of water the tank can hold is about 4421 cubic feet.
A hospital claims the main number of patients seen in the emergency room each day is more than 49. You know the following items about this study; The P value is 0.0922, the level of significance is 10% and assume the population is normally distributed
Answer:
The p-value is less than the alpha (the level of significance) reject the null hypothesis. There is sufficient evidence at the α = 0.1 level of significance to conclude that μ>49.
Step-by-step explanation:
Match the following Match the items in the left column to the items in the right column
1 fish to Starfish
2. total to fish
3. Starfish to total
4. Starfish to fish
Answer:
Sorry, you didn't send the picture with it. But, I have the picture that you forgot to send, here is the picture.
Step-by-step explanation:
That is the image down there! Thanks. Sorry, I can't answer though.
Find n and r 10 pointssss
What is 2020 divided by 13?
Answer:
155.384615385
Step-by-step explanation:
the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7
Answer:
x²=5x
x=5... probably c
A. B. C. Or d. Please
Answer:
B
Step-by-step explanation: