How many 5 digit numbers exist such that the product of their digits is 400?
120.
First factorising 400 gives: 400 = 24 x 52
So the 5 digit number must contain two 5s and the other three digits must multiply together to give 16, namely: 1, 2 & 8; 1, 4 & 4 or 2, 2 & 4
When selecting from 5 digits, they can be arranged in 5! = 5 x 4 x 3 x 2 x 1 = 120 different ways. However, some of the digits are indistinguishable (eg the two 5s can swap places and the number is the same), so when this happens, the total number of ways needs to be divided by the number of ways the indistinguishable numbers can be arranged.
Two digits can be arranged in 2! = 2 x 1 = 2 ways.
So the 5 digit number can contain:
120 ÷ 2 = 60
possible numbers here
(120 ÷ 2) ÷ 2 = 30
possible numbers here
(120 ÷ 2) ÷ 2 = 30
possible numbers here
So the total number of possible numbers is 60 + 30 + 30 = 120.
9999
If referring to a set of individual integers, the mode would be the integer which occurs most often.
A coordinate plane
How do you calculate the mean from the median?
The mean is the sum of the sample, divided by the number of samples. The median is the middle number. Good example of this is your grades. You have a d,c,a,b, c,c. Each grade has a number a d is equal to 1 point, c= 2 points, a= 4 points, and a b=3 points. You add these up and divide by the number 7. To find the median write them in order A,b,ccc,d= the median is a C.
What is the mean, median and mode for 428, 472, 510, 386, 440?
Let's approach this step-by-step:
First, let's order these numbers from least to greatest:
386, 428, 440, 472, 510
Mean:
The mean is the average of all numbers.
Sum: 386 + 428 + 440 + 472 + 510 = 2236
Count: 5
Mean = 2236 ÷ 5 = 447.2
Median:
The median is the middle number when the numbers are in order.
With 5 numbers, the median is the 3rd number.
Median = 440
Mode:
The mode is the number that appears most frequently.
In this set, each number appears only once, so there is no mode.
Therefore:
Mean = 447.2
Median = 440
Mode = No mode (or the set is amodal)
Can you provide a sample of 'Quod Erat Demonstrandum' used in a sentence?
Quod Erat Demonstrandum is usually abbreviated thusly: Q.E.D.
What are some alternative ways of collecting data in a classroom setting?
Telephone survays, Census, Mail-in queationnaire, presentations by citizens, research, door-to-door interveiws
stuff like that?
a question can mean the same as another question and if you want to know the question you asked, try typing in who invented math, that's how i got my answer but it is really really long just to let you know. OK OK have fun researching!!!
How many 3 digit numbers can be formed using the digits 2 3 5 6 7 9?
You have 6 numbers to choose from. To know how many numbers you can make choosing 3 of them, it is determined as follows. For the first number you can choose 6, then the next number you have 5 left to choose from, and the last number you have 4 left to choose from. So, multiply 6*5*4 = 120.
What is the difference between outcome and output?
An output involves a process as in production. It could be in the form of a good or service. On the other hand, an outcome is the result or payoff from the the course of action taken by an individual or player based on his decisions.
Output (one word) is the quantity of stuff that is produced. The outcome is the result of an action. So, the output of the factory is 20 cars an hour, but the outcome of replacing the manager is that the output rises to 25 per hour.
What is the probability of tossing a 3 on a die number cube?
One side of the six sided cube has a 3 so: 1/6
The word originally is from Sanskrit language and it identifies for the people who are literate/can read & write