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.
To find the HCF of two numbers you first have to write them as their prime factors:
14 = 2x7
42 = 2x3x7
The next step is to identify any common prime factors. In this case both numbers have a 2 and a 7 as prime factors. Multiply these together and you get:
2x7 = 14
Thus the HCF of 14 and 42 is 14.
madalas mga bobo yung mga nagsasagot d2.
What is mean in data handling?
the "mean" is the "average" you're used to, where you add up all the numbers and then divide by the total number of numbers
What is a pair of numbers that tells where a point is on a coordinate grid?
The pair of numbers are called the coordinates.
Where the axes of the coordinate plane intersect?
(10,20)? Im not quite sure. That's what my classmate said.
9999
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.
A coordinate plane
How do find median of a set of numbers?
you like cross 1 number out on each side until you have one nuber left i think in some cases but im not like 100 percent sure about the two number thing i just know that you cross it out out until you get to the middle
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 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.