A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?
Answers
Answer:
24000000
(might not be correct)
Step-by-step explanation:
might not be right but ill try:
ten digits: 10
4times:10x10x10x10=10000
times a letter:24 letters= 10000x24=240000
time three digits: 10x10x10=100x240000=24000000
The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.
What is permutation and combination?Permutation and combination are the ways of counting.
Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.
Given that,
The hotel reservation number contains 4 digits, 1 letter and then 3 digits.
Now, there are two possible cases for the given problem as follows,
Case 1 : The digits are repeating.
Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,
10 × 10 × 10 × 10 × 26 × 10 × 10 × 10
= 260000000
Case 2 : The digits are not repeating.
Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.
And, for 26 letters it is ²⁶P₁.
Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,
10 × 9 × 8 × 7 × 6 × 5 × 4 × 26
= 604800
Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.
To know more about permutation and combination click on,
https://brainly.com/question/13387529
#SPJ2
Related Questions
ill mark brainliest thanks
Answers
Answer:
first one
Step-by-step explanation:
A check for two hundred fifty dollars as a withdrawal:
Answers
A check for $250 serves as an instruction to the bank to withdraw that amount from the account holder's balance and provide it to the recipient upon deposit or cashing.
When a check is written for two hundred fifty dollars ($250) as a withdrawal, it means that the individual is requesting a withdrawal of $250 from their account using a check.
The check serves as a formal written order instructing the bank to pay the specified amount, which in this case is $250, to the person or entity named on the check. The account holder will typically write the check and provide it to the recipient as a means of transferring funds.
The recipient can then deposit or cash the check at their bank, and the bank will process the transaction by deducting $250 from the account holder's bank balance and providing the recipient with the requested funds.
for such more question on transaction
https://brainly.com/question/1016861
#SPJ8
help
me
please
i
really
need
help
Answers
Answer:
16/35 chapters per hourStep-by-step explanation:
Set a ratio:
7/8 hours ⇒ 2/5 chapters1 hour ⇒ x chaptersFind the value of x by cross-multiplication:
x = 1 × 2/5 ÷ 7/8x = 2/5 × 8/7x = 16/35In which quadrant does the point (13 , 20) lie? A. Quadrant III B. Quadrant I C. Quadrant IV D. Quadrant II
Answers
Answer:
B.
Step-by-step explanation:
The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.
Given that g(x)=3x - 12, what is the value of x when g(x)=-27?
Answers
Answer:
x = -5
Step-by-step explanation:
If g(x)= 3x - 12, and g(x)= -27 then -27 = 3x -12
Solve for x
-27 = 3x -12, add 12 to both sides
-27+12 = 3x, add -27+12
-15 = 3x, divide both sides by 3
-5 = x
Answer:-93
Step-by-step explanation:
g(x)=3x-12
g(x)=3(-27)-12 - Substitute
g(x)=-81-12 - Multipy
g(x)= -93 - Add
If you see such unnecessary question like this, please report it. This person always asks others for bad things. Please report him. That's your responsibility as a polite Brainly User. Thank You !
Answers
Answer:
You are right
Step-by-step explanation:
Have a nice day
As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation. a. causal b. zero c. positive d. negative
Answers
When the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases, this implies a negative correlation.
Negative correlation simply means the relationship between two variables where as one variable increases, the other variable will reduce.
Therefore, in a situation where the average daily temperature in New York City decreases and the number of persons who are observed wearing sweaters in the workplace increases, this illustrates a negative correlation.
Read related link on:
https://brainly.com/question/25705812
I need help with elementary statistics
Answers
I got brainly for my kid , it’s on my phone and she is on my family share How can she use it on her phone?
Answers
Answer:
The only way she was able to use it if she knew your email and linked you to the account or she had some sort of permissions to get brainly on her device.
BEST ANSWER GETS BRAINLIEST!!!!!!!!1
Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1351 liters of water. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 35.75 liters per minute.
After how many minutes will the two pools have the same amount of water?
How much water will be in each pool when they have the same amount?
Answers
After how many minutes will the two pools have the same amount of water? 36 min.
How much water will be in each pool when they have the same amount? 2638 liters.
Explanation:
y=1900+20.5x
y=1351+35.75x
Let the time be t
[tex]\\ \sf\longmapsto 1900(1+\dfrac{20.5}{100})^t=1351(1+\dfrac{35.75}{100})^t[/tex]
[tex]\\ \sf\longmapsto 1900(\dfrac{120.5}{100})^t=1351(\dfrac{135.75}{100})^t[/tex]
[tex]\\ \sf\longmapsto 1900(1.2)^t=1351(1.35)^t[/tex]
[tex]\\ \sf\longmapsto \dfrac{1900}{1351}=\left(\dfrac{1.35}{1.2}\right)^t[/tex]
[tex]\\ \sf\longmapsto 1.4=(1.125)^t[/tex]
[tex]\\ \sf\longmapsto (1.125)^2.9=(1.125)^t[/tex]
[tex]\\ \sf\longmapsto t=2.9h[/tex]
Match the event with the most appropriate probability word: The roll of a normal fair dice will show a 7.
A. Certainly
B. Likely
C. Evens
D. Unlikely
E. Impossible
F. Other
Answer this, plz.
Answers
Answer:
Option 3
Evens
. . . . . .. . ..
2. In the formula I = P x r x t, what does r stand for? a. Rate: the percent that interest is paid annually as a decimal b. Ratio: the size of the interest interval compared to time c. Return: how much money you end up earning d. Reserves: how much money you have in the investment
Answers
Answer:
I will answer this soon I don't remember
Answer:
A. Rate: the percent that interest is paid annually as a decimal
Step-by-step explanation:
Edge 2022 got the answer right :)
pls help i’ll mark brainliest!!
Aiden runs 1500 meters in 8 minutes. Find the slope of the linear function that represents this relationship.
Aiden runs 187.5 meters perminute.
Aiden runs 180 meters per minute.
Aiden runs 200 meters per minute.
Aiden runs 12 meters per minute.
Answers
Explanation: Literally divide the two numbers
The slope of the linear function that represents this relationship is Aiden runs 187.5 meters per minute.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Aiden runs 1500 meters in 8 minutes.
We know slope= Rise/ Run
So, slope= 1500 /8
slope= 187.5
Hence, the slope of the linear function that represents this relationship is Aiden runs 187.5 meters per minute.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
Find the measure of the angle ACD in the given figure???
Answers
Answer:
∠ACD = 33.5°
Step-by-step explanation:
The arc length will be twice ∠ ABD,
∠ABD will equal ∠ACD because they subtend the same arc length.
3x + 7 = 2(2x - 6.5)
3x + 7 = 4x - 13
x = 20
∠ABD = (2(20) - 6.5) = 33.5
what is the midrange
Answers
Answer:
Midrange Formula. Midrange in layman terms is the middle of any data set or the simply the average, mean of the data. A midrange is a statistical tool which is also known as the measure of center in statistics. Along with the existence of the midrange formula means, medium, average, mode, and range are also known as the measure of central tendency.
Step-by-step explanation:
By what number should be 6 2/9 be divided to obtain 4 2/3 ?
Answers
6(2/9)
4(2/3)
18/54
8/12
=18/54
=8/12
u divided all
Let the number should be duvided be X
Given number = 6 2/9
⇛ (6×9+2)/9
⇛ (54+2)/9
⇛ 56/9
On dividing 56/9 by X then the result
= (56/9)/X
= 56/9X
According to the given problem
The result = 4 2/3 = 14/3
⇛ 56/9X = 14/3
⇛ 9X×14 = 56×3
⇛ 9X = 56×3/14
⇛ 9X = 4×3
⇛9X = 12
⇛X = 12/9
=⇛X = 4/3 or 1 1/3
Answer↓
The required number is 4/3 or 1 1/3
Check↓
On dividing 6 2/9 by 1 1/3
⇛ 6 2/9 ÷ 1 1/3
⇛ (56/9)÷(4/3)
⇛ (56/9)×(3/4)
⇛ (56×3)/(9×4)
⇛ 14/3
⇛4 2/3
Verified.
The first recorded Olympic game began in 776 called the Asian Olympics games were held every four hours until being abolished by the Roman emperor Theodosius in 393 determine the length of time between the start of the ancient Olympics and the modern Olympics which began in 1896
Answers
Answer:
1503 years
Step-by-step explanation:
Although the ancient Games were staged in Olympia, Greece, from 776 BC through 393 AD, it took 1503 years for the Olympics to return. The first modern Olympics were held in Athens, Greece, in 1896.
In which of these situations would the answer to the
question be 0?
A) The low temperature one day was -10°F. The high
temperature that day was 10 F. What is the difference
between the low temperature and the high temperature
that day?
B) A trail to walk up a hill begins at an elevation -16 yards.
The trail ends at an elevation of 16 yards. By how many
yards does the elevation of the trail change from
beginning to end?
C) Justine left her grandmother's house and walked 3
blocks directly south. Then she walked 3 blocks directly
north. At this point, how many blocks was Justine from
her grandmother's house?
D) Theodore jumped into a pool from a diving board 10
feet above the water. He sank 10 feet and then swam
straight up to the surface of the water. How many feet
did Theodore swim?
Answers
Answer: C is the correct answer
Step-by-step explanation:
What is revolving credit?
A. Credit that provides a set amount of money for a specific purpose
B. Credit that is automatically renewed as debts are paid
C. Credit that requires users to pay a high interest rate
D. Credit that is issued by a financial institution other than a bank
Answers
Answer:
B. Credit that is automatically renewed as debts are paid
Hope this helps :)
SOMEONE please help me!!!!!!!!!!!
Answers
Answer:
First is death valley it goes on the bottom, next is New Orleans its after death valley, Next is Washington it goes in the middle, next is Dublin its after Washington, Lastly is Paris it goes on the top
Step-by-step explanation:
Hello I need help help help help
Answers
x = 16
7 times 2 = 14
8 times 2 = 16
Hope that helped:)
If you are conducting an experiment where the probability of a success is 0.06 and you are interested in the probability of two successes in 15 trials, the correct probability function to use is the _____.
Answers
In the question, the probability of getting the given number of success
from a specified number of trials is required.
The correct probability function to use is the binomial probability function.
Reasons:
The given parameters are;
The probability of success = 0.06
The number of trials = 15 trials
The probability of interest = The probability of two successes in 15 trials
Solution;
The required probability is given by the following binomial probability
distribution formula;
[tex]P(x) = \dbinom{n}{x}\cdot p^x \cdot q^x = \mathbf{\dfrac{n!}{(n - x)! \cdot x!} \cdot p^x \cdot q^x}[/tex]
Where:
n = Number of trials
x = Number of required success
p = Probability of a success
q = Probability of one failure = 1 - p
For the question, we get;
[tex]P(x) = \dfrac{15!}{(15 - 2)! \times 2!} \times 0.06^2 \times (1 - 0.06)^{15 - 2} \approx \mathbf{0.169}[/tex]
Therefore, the correct option is, a binomial probability function
Learn more here:
https://brainly.com/question/15902935
The question options are;
Binomial probability function
Normal probability density function
Standard normal probability density function
Poisson probability function
The cost of a ride in a taxi is $2.50 for the first half-mile plus a constant amount per half-mile after that. The sequence below shows the pattern of numbers that appear on the driver's screen.
2.50, 2.75, 3.00. 3.25, 3.50, 3.75
Part A: Write a recursive function that can be used to determine f(x), the cost in dollars, for a ride in the taxi of, x, half-miles.
Answers
Answer: 2.50 + 0.35(15.75-1)*4 = $23.15 is the answer
Step-by-step explanation: Hope this helps!
Please help me quickly thank you!
Answers
Answer:
i think it is a if its wrong sorry
Step-by-step explanation:
Answer:
its 115
Step-by-step explanation:
if you take the angle and look at the end if the triangle it shows the end of the angle as 50. if 50 is the top and right angle and you see another angle that looks like that spliting it in half it is 115. its 115 tho because the right side of the missing angle is bigger than the left. hopefully this helps
Let f(x)=3x-8 and g(x)=x^2+4.
Find f(g(-2)).
Answers
Answer:
16Step-by-step explanation:
Given:
f(x) =3x - 8 and g(x) = x² + 4f(g(- 2)) = ?First find g(- 2):
g(- 2) = (-2)² + 4 = 4 + 4 = 8Find f(8):
f(8) = 3*8 - 8 = 24 - 8 = 16g(-2):-
[tex]\\ \sf\longmapsto (-2)^2+4[/tex]
[tex]\\ \sf\longmapsto 4+4[/tex]
[tex]\\ \sf\longmapsto 8[/tex]
Now
[tex]\\ \sf\longmapsto f(x)=3x-8[/tex]
[tex]\\ \sf\longmapsto f(g(-2))=f(8)[/tex]
[tex]\\ \sf\longmapsto 3(8)-8[/tex]
[tex]\\ \sf\longmapsto 24-8[/tex]
[tex]\\ \sf\longmapsto 16[/tex]
3. Find the difference between the two expressions.
(3/5x - 5y) - (4/5x + 2y
Answers
Answer:
[tex]^{-1}/_{5}x-7y[/tex]
Step-by-step explanation:
Our equation is
[tex](^{3}/_{5}-5y)-(^{4}/_{5}+2y)[/tex]
now we distribute the - and we get
[tex]^{3}/_{5}-5y-^{4}/_{5}-2y[/tex]
[tex]Combine[/tex] [tex]like[/tex] [tex]terms[/tex]
and now we have [tex]^{-1}/_{5}x-7y[/tex]
how many ways can the letters a, b, c, d, e be arranged where d and e cannot be next to eachother
Answers
Answer:
Step-by-step explanation:
a
3/4 x 2 5/8 ÷ 2 + 10/12
Answers
(PHOTO) Please help need this done by tomorrow thank you.
Answers
Answer:
x = 8
Step-by-step explanation:
These are corresponding angles, and they are equal to one another.
[tex]7x+3=3x+35\\4x+3=35\\4x=32\\x=8[/tex]
To solve the given system by elimination, what is the first step to take? A) Rewrite each equation in standard form, ax + by = c. B) Multiply 2x + y + 1 = 0 by −3. C) Multiply 2x + y + 1 by −2. D) Combine the equations by adding like terms.
Answers
Answer:
option d
Step-by-step explanation:
Your should have attached the equation for answer to be explained
