Answer:
Step-by-step explanation:
Not exactly sure what your question is - I am assuming that it is something like:
Show/prove that for any integer x, x^2 - x is even.
Suppose that x is an even integer. The product of an even integer and any other integer is always even (x = 2n, so x * y = 2 n * y which is even. Therefore x^2 is even. An even minus an even is even. (The definition of an even number is that it is divisible by 2 or has a factor of 2. So the difference of even numbers could be written as 2*( the difference of the two numbers divided by 2); therefore the difference is even)
Suppose that x is an odd integer. The product of 2 odd numbers is odd - each odd number can be written as the sum of an even number and 1; multiplying the even parts with each other and 1 will produce even; multiplying the 1's will produce 1, so the product can be written as the sum of an even number and 1 - which is an odd number. The difference between two odd numbers is even - the difference between the even parts is even (argument above), the difference between 1 and 1 is zero, so the result of the difference is even.
x^2 is therefore even if x is even and odd if x is odd; The difference x^2 - x is even by the arguments above.
Answer:
I believe the answer is 95.15 %
Step-by-step explanation:
Time for job = 3/4 hr/job = 45 minutes to do the whole job.
Find the mean, median, mode for 41,41,41,42,42,43,43,43,43,45,45,45,46,46,46,46,46,46,46,49,49,50,51,51,53,54,55,55,56,56,57
timurjin [86]
Answer:
Mean : 47.48
Median : 46
Mode : 46
Step-by-step explanation:
1) Mean= Total sum / Total Entries
Sum = 41*3 +42*2+43*4+45*3+46*7+49*2+50*1+51*2+53*1+54*1+55*2+56*2+57*1
Sum = 123+84+172+135+322+98+50+102+53+54+110+112+57
sum = 1472
Total Entries = 3+2+4+3+7+2+1+2+1+1+2+2+1= 31
Mean = 1472/31
= 47.48
ii) Median = 16th Value
As there are total 31 entries , Hence the Median will be the entry coming on 16th place
Median = 46
iii) Mode
The entry which is repeated for the maximum number of times is called the mode. Here 46 is repeated the most. hence 46 is the mode
Answer:
So, 2/14 are red and pink but if the rest are white the 12/14 are white.
Step-by-step explanation: