Answer:
84
Step-by-step explanation:
Since, the digit should be in ascending order, therefore we have to group 123456789 into 3–3 groups with its digits being in ascending order.
Step 1:
Select 1 as one digit
Step 2:
Select 2 as a 2nd digit.
Step 3:
We have 7 numbers (3,4,5,6,7,8,9) as a 3rd digit of a 3-digit number. Therefore, We have 7 numbers in the form of 12_.
Go back to Step 2 and Select 3 as a 2nd digit. Then, we have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 13_.
Continue these steps till you get the number of 3-digit numbers in the form of 1__ to 189 which will be 28 numbers.
Go back to Step 1 now and select 2 as a 1st digit and in Step 2, start with 3 as a 2nd digit.
In step 3, you’ll have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 23_.
Continue these steps till you find the number of the 3 digit number of the form 2__ to 289 which will be 21
Repeat the steps again to find the number of 3digit number of the form 3__ to 389 which will be 15.
Then find 4__ to 489, 5__ to 589, ……till 789
the answers will be like this
1__=28
2__=21
3__=15
4__=10
5__=6
6__=3
789 which is 1
Adding all these, you’ll get 84.
The total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] distinct ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We can use the rule of product as:
we can use the analogy of filling each of the 3 places of the three digit number, and this filling doesn't require any ordering like fill the first place and then second etc. We can take those 3 place fillings as 3 different works to be done,e each one doable in 9 different ways.For this case, the three digit number consider is going to have 3 places in it such that each place can have any of those 9 digits in them.
So each place can be filled in 9 ways.
There are 3 such places, so, using the rule of product, the filling of those places can be done in:
[tex]9 \times 9 \times 9 = 9^3 = 729 \: \rm ways[/tex]
Thus, the total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.
Learn more about rule of product combinations here:
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Condense the logarithmic expression using logarithmic properties.
3 log x + 2 log y - log y
Answer: [tex]log (x^3y )[/tex]
Step-by-step explanation:
First we want to make the coefficients of the log the exponents of what is in the log
[tex]3 log (x) + 2 log (y) - log (y)\\log (x^3) + log (y^2) - log (y)[/tex]
Now adding two log with the same base is the same as multiplying what you are taking the log of
[tex]log (x^3) + log (y^2) - log (y)\\log (x^3y^2) - log (y)[/tex]
Now subtracting two logs with the same base is the same as dividing what you are taking the log of
[tex]log (x^3y^2) - log (y)\\log (\frac{x^3y^2}{y} )[/tex]
Now we simplify
The [tex]y^2[/tex] cancels out the y in the denomiator
[tex]log (x^3y^2) - log (y)\\log (x^3y )[/tex]
Step-by-step explanation:
xlog3+ylog2-ylog
log3×log2 -ylog
log6-ylog
I need this asap give me the right answer
Answer:
Its 320 i think its so many numbers my eyes cant keep up
Step-by-step explanation:
just add em all up
ASAPPPPP!!!!!!!!!!!!!!
Answer:
297 [tex]cm^{2}[/tex]
Step-by-step explanation:
area of triangle x 4 + area of rectangle
[tex]\frac{1}{2}[/tex] x 12 x 9 x 4+ 9 x 9
Walnuts are priced
according to the chart
below.
POUNDS (LBS)
COST (S)
3
$7.77
5
$ 12.95
8
$20.72
What is price per pound for the
walnuts?
A.
$2.59
B. $3.86
C. $2.17
D. $3.07
Answer:
A. $2.59
Step-by-step explanation:
If you divide the costs by the pounds:
3/7.77 = 2.59
12.95/5 = 2.59
20.72/8 = 2.59
Therefore, the answers is $2.59
Hope this helps :)
What is the next time: 8:45, 6:15, 3:45, _______?
A) 11:15
B) 12:15
C) 1:15
D) 2:15
Answer:
A(11:15)
Step-by-step explanation:
3+3 is 6
then Is 6+2 so is 8 then ir repeats ats 3 Like 3 6 8 and then 11
What is the surface area of the box?
Answer:
54cm²
Step-by-step explanation:
2(3x6) + 2(6x1) + 2(3x1)
= 54cm²
if TSA of cuboid box is 486 cmsquare find its volume
Answer:
It has 6 faces, So, each face has an area = 486/6 = 81 sq cm. Side of the cube =√81= 9 cm. Hence, volume of the cube = 9^3 = 729 cm^3.Jul 18, 2019
Step-by-step explanation:
Hope it's help
There's a mistake in your question it's not T.S.A of cuboid it is T.S.A of cube . Because it's not possible to find the length , breadth and height of cuboid without giving only it's Total Surface Area .
Question : -If TSA of cube box is 486 cm square , find its volume .
Given : -Total Surface Area ( T.S.A ) of cube is equal to 486 cm square .To Find : -Volume of cubeConcept : -For solving such types of questions we must have knowledge of faces of shapes and formula for surface areas and volumes of three dimensional shapes .
Formula Used : -Area of square = side²Volume of cube = a³Solving Question : -We know that cube have 6 faces . So area of each faces is equal to :
[tex] \rightarrow \: \cancel\frac{486}{6} \: cm \: sq.[/tex]
Now , dividing 486 by 6 :
[tex] \rightarrow \: 81 \: cm \: sq.[/tex]
Therefore , each square faces of cuboid have area of 81 cm square .
Now , We know that area of square :
Side ²s² = 81s = √81s = 9 cmTherefore , side/edge of cube is of 9 cm ..
Now , finding volume of cube :
We know that volume of cube is equal to ,
a³9³9 × 9 × 981 × 9729 cm³Therefore , volume of cube is 729 cm³ .
#Keep Learningkaren and mary are saving money. karen has 150 and disposits an additional $25 a week. mary has $200 and deposits an additional $10 a week. what is the minimum number of weeks it will take for karen to have more saving then mary
Answer:
4 weeks
Step-by-step explanation:
original base amount 150 200
1st week deposit 175 210
2nd week deposit 200 220
3rd week deposit 225 230
4th week deposit 250 240
Anne is on the chess team at her school. She wins a match 20% of the time. Design a simulation that will predict the probability of Anne winning two matches. to represent winning two chess matches with representing Anne winning a match. Perform the simulation times. Using this simulation, the probability of Anne winning two matches is about .
Using the binomial distribution, it is found that there is a 4% probability of Anne winning two matches.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
She plays two matches, hence n = 2.She wins a match 20% of the time, hence p = 0.2.The probability that he wins two matches is P(X = 2), hence:
[tex]P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04[/tex]
4% probability of Anne winning two matches.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
If 55% of a number is 132 and 25% of the same number is 60, find 80% of that number.
Answer:
192
Step-by-step explanation:
It is always wise to look carefully at the question to see what information is given, and what information you are asked for. You are given two different fractions of the same number, and you want the value of a third fraction of that number. That third fraction is the sum of the other two.
__
The value of 80% of the number will be the sum of 55% and 25% of the number.
n×80% = n×55% +n×25%
n×80% = 132 +60
n×80% = 192
80% of the number is 192.
_____
Additional comment
Your first clue that there may be something special about this problem lies in the fact that one fraction of a number is all you need in order to find any other fraction. Here, we're given two fractions (55% and 25%), so that is more information than we need. Why? Because it simplifies the problem to one of addition. No proportions need to be solved.
__
If you were interested, you could determine 100% of the number to be ...
132/n = 55/100 ⇒ n = 132(100/55) = 240
or
60/n = 25/100 ⇒ n = 60(100/25) = 240
Then ...
0.80n = 0.80(240) = 192 . . . . 80% of the number
Or, you could write proportions for the 80% value:
80%/55% = n/132 ⇒ n = 132(80/55) = 192 . . . . 80% of the number
80%/25% = n/60 ⇒ n = 60(80/25) = 192 . . . . 80% of the number
__
"Look carefully" includes thinking about the ways the givens and the finds are related.
2/5 g+3h -6 when g=10 h=6
let's evaluate this expression
[tex]\pmb{\displaystyle\frac{2}{5}g+3h-6 }[/tex]
[tex]\pmb{\displaystyle\frac{2}{5} *10+3(6)-6}[/tex]
[tex]\pmb{\displaystyle\frac{2}{5} *10+18-6}[/tex]
[tex]\pmb{\displaystyle\frac{2}{5} *10+12}[/tex]
Multiply:
[tex]\pmb{\displaystyle\frac{2}{5} *\frac{10}{1} =\frac{20}{5} =4}[/tex]
Final Step:-
[tex]\pmb{4+12}[/tex]
[tex]\pmb{16}[/tex]
======================================================
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
A babysitter charges an hourly rate. The equation y = 12x represents the relationship between hours of babysitting, x, and total pay, y, in
dollars.
What is the salary per hour for the babysitter?
salary : $12 per hour
What value of x makes a true equivalent fraction statement. 3/x = 27/54
3/x=27/54
or,x×27=3×54
or,27x=162
or,x=162/27
or,x=6
Hope you will give me brainliest
HELP What is the surface area of the square pyramid?
Step-by-step explanation:
AnswerA = a²+2aUnderoute of a²by 4+ha) a = base edge
b) h = height
pls vote me as a branliestHow many milliliters could a container with a volume of 154 cm cubed hold?
A. 0.154 ml
B. 1.54 ml
C. 154 ml
D. 15,540 ml
154 cm3 = 0,154 dm3 = 0,154 l = 154 ml
Will give brainiest!!!!
Jocelyn participates in three track events: the 200-meter sprint, the 400-meter hurdles, and the 800-meter run. She calculated the mean absolute deviation of her race times throughout the season in each event.
200-meter sprint: mean absolute deviation of 2.05
400-meter hurdles: mean absolute deviation of 2.82
800-meter run: mean absolute deviation of 1.9
In which event were her times the most spread out?
200 meter sprint
800 meter run
400 meter hurdles
Answer:
The awnser is 400 meter run
Step-by-step explanation:
i took the quiz
The mean absolute deviation shows that the event were her times the most spread out is C. 400 meter hurdles.
What is a mean absolute deviation?It should be noted that the mean absolute deviation means the average distance that's between each data point and the mean.
In this case, the mean absolute deviation shows that the event were her times the most spread out is 400 meter hurdles. This was illustrated as it has has the highest mean absolute deviation when compared to others.
Learn more about mean absolute deviation on:
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Mr bean contributed 500 naira to a business, Mr. Benson contributed 300 naira, and Mr. Robinson contributed 200 naira. what is Mr bean's share if they share a profit of 2000 naira according to the amount each contributed
Answer:
Mr Bean will get 1000 naira.
Step-by-step explanation:
They invested in the ratio of 5:3:2 , meaning that Mr Bean will get half the profit. 1/2 X 2000 = 1000
This should be easy for me but I just can't get it right.
Please Help Me! ASAP! :) Thank you hope your day was alright.
Will try to mark Brainliest!
Answer:
1. 32
2. 47
3. See explanation for number 3 below
Step-by-step explanation:
All you have to do is simply add 17 to however old Titus is. So if he's 15 years old, you just simply have to do 15+17, which is 32. For number 3, I'm assuming that they just want an explanation for how you do this process, in which case, this explanation is the answer to number 3. If that's not what they're looking for in number 3, then I'm sorry. But I'm pretty sure that's what they want there.
When Sally decided to run for class treasurer, she predicted how many votes she would get. After the election, Sally found out she had received 150 votes. She had predicted she would get 20% fewer votes than that. How many votes did Sally predict she would get?
Answer:
3000
because you need to dived it
Jacob sells his motorbike for £112 making a loss of 12% on its original price. Work out its original price
Answer:
125,44
Step-by-step explanation:
Loss = 112÷100*12
=13,44
Therefore : 112 + 13%
=112 + 13,44
=125,44
Is (3, 1) a solution to this system of equations?
3x + 3y = 12
12x + y = 13
Yes or no
Answer: No
Step-by-step explanation:
(3,1) is not a solution because when plugging in x=3 and y=1 to the second equation, you get: 12(3) + 1 = 13 → 36 + 1 = 13 → 37 = 13, which is false.
The cost price of 12 candles is equal to the sellering price of 15 candles. Find the loss percent.
Answer: Let SP of 15 candles = Rs.100. CP of 12 candles = SP of 15 candles = Rs.100 CP of 15 candles = = Rs.125 Loss = CP – SP = 125 – 100 = 25 = 20% 10.
Step-by-step explanation: This was a simple answer also CP means sale price
please check picture and answer correctly please.
Answer:
27
Step-by-step explanation:
multiply 9 x 6 and you get 54. Since it's a triangle divide by 2 and you get 27
Mary has $311.75 to convert into yen. the currency exchange she is using charges a surcharge of 6% when converting currency. about how many more yen will mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate? a. ¥1,125 b. ¥1,513 c. ¥1,609 d. ¥1,706
Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than that of the least favorable exchange rate.
What is the exchange rate?It is the factor by which currency conversion of two countries is done.
The most Favorable day is Friday because the exchange rate on Friday is the highest.
So, Mary will receive on Friday= 311.75 x 92.7120 x 94/100
Mary will receive on Friday(a)=27168.788 Yen
The least Favorable day is Wednesday because the exchange rate on Wednesday is the least.
So, Mary will receive on Wednesday= 311.75 x 87.5507 x 94/100
So, Mary will receive on Wednesday(b)= 25,656.2949 Yen
Difference between (a) and (b) = 1512.4931 Yen
Hence, Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate.
To get more about the exchange rate visit:
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Lots of points
Please help
i add a photo
What is the approximate volume of the cone? Use 227
22
7
for π. Enter your answer in the box.
Answer:
132 cm³
Explanation:
[tex]\sf volume \ of \ cone = \dfrac{1}{3} \pi r^2h[/tex]
put radius: 3 cm, height: 14 cm, π as 22/7
[tex]\sf \rightarrow \dfrac{1}{3} *\dfrac{22}{7} * (3)^2(14)[/tex]
[tex]\sf \rightarrow 132 \ cm^3[/tex]
HELPP PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
Third one down |2s + 1| -3
Step-by-step explanation:
there is no value of s where it is valid
Three friends share 2 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?
Answer:I think that each friend would get 1.5/ 1 1/2.
Step-by-step explanation:
3 divided by 2 equals 1.5
!!!!!!!!!!!!!!!!!!!!!!!!!HELP!!!!!!!!!!!!!!! Find the slope of the line.
Answer:
3/1
Step-by-step explanation:
Make sure you know a few concepts first:
The point where the line crosses the y-axis (or vertical axis) is called the y-intercept.Slope is commonly taught using [tex]\frac{rise}{run}[/tex] as I will teach it here.First, find the y-intercept of the line. This line crosses the y-axis as (0,0), so that is the y -intercept.Find another point on the line, preferably where it crosses a whole-number coordinate (just for simplicity… you can use any point on the line). We will use the point (1,3). Counting in your head, count vertically from (0,0) until you are horizontal to the point (1,3) we chose earlier. Put the distance it took to reach that point on the top (numerator) of the fraction. Because it takes 3 counts to be horizontal, your fraction should look like [tex]\frac{3}{run}[/tex].Count horizontally until you reach the point (1,3). Put the number of units on the bottom (denominator) of the fraction. The number was 1 unit, so your finished fraction which is the slope is [tex]\frac{3}{1}[/tex].Alternatively
Use the formula for slope from two points… [tex]\frac{x_{1} -y_1}{x_2-x_1}[/tex]Find two points on the line. We will use (0,0) and (1,3). Designate one point as 1 and the other as 2. We will choose (0,0) to be 1 and (1,3) to be 2.Plug in the points following the “key” you created: Let x₁ be the x coordinate from ordered pair 1, let y₁ be the y coordinate point from ordered pair 1, etc. Following this pattern, you should be set up like this: [tex]\frac{3-0}{1-0}[/tex]Subtract to get [tex]\frac{3}{1}[/tex] as your slope.Solve for X. Leave your answer in the simplest radical form.
Image down below!
Someone please help me with this, I’ll give you brainlist and points!
Apply Pythagorean theorem
P²=10²-4²P²=100-16P²=84p=2√21Again
x²=84-8²x²=84-64x²=20x≈√20=√4×5=2√5Answer:
2√5
Step-by-step explanation:
The given pyramid is composed of two right angle triangles. Notice the triangles of the pyramid share a common side. With the help of it, we can figure out x
recall Pythagoras theorem
[tex] {a}^{2} + { b }^{2} = {c}^{2} [/tex]
Case-1: Finding the opposite sidehere,
a=4c=10To find:
bnow plug in the value of a and c in the formula respectively:
[tex] {4}^{2} + { b }^{2} = {10}^{2} \\ \implies {b}^{2} = {10}^{2} - {4}^{2} \\ \implies {b}^{2} = 84 \\ \implies \boxed{ b_{1} = 2\sqrt{21}}[/tex]
Case-2: Finding xhere,
[tex]b_1 \implies c=2\sqrt{21}[/tex]b=8a[tex]\implies[/tex] xUtilizing Pythagoras theorem yields:
[tex] {x}^{2} + { 8}^{2} = {(2\sqrt{21})}^{2} \\ \implies {x}^{2} = {(2\sqrt{21})}^{2} - {8}^{2} \\ \implies {x}^{2} = 20\\ \implies \boxed{ x= 2\sqrt{5}}[/tex]
and we're done!