Step-by-step explanation:
That is so because 1/3 is *not exactly equal to* 0.333333
0.333333 is an approximation of 1/3 which is correct to 6 decimal places.
So 0.333333 x 3 = 0.999999 which is approximately equal to 1.
If you want to be more accurate, you could write the fraction 1/3 everywhere and not write it in floating point form.
1/3 in floating point format will be 0.333333333…..and so on with infinite decimal places. This is because when you try to divide 1 by 3, you get a nonterminating recurring number after decimal point.
Its usually represented by a bar or dot on top of the recurring part
Ex. 1/3 = 0.3bar
(Sorry I can't get the bar on 3 by typing from keyboard)
But let's just say 0.3 bar is 0.333333…and so on to infinity.
When you multiply 0.3bar x 3 you get 0.9bar
= 0.999999….and so on to infinity.
These decimal point figures just a very great approximations of the fraction 1/3.
Hope this helps. Feel free to reply if you still have doubts.
Answer:
Step-by-step explanation:
35 49 51 54 65 51 52 47 87 37 46 33 39 44 39 64 94 34 30 48
is the sample given
From the above we can find
Mean =sum of all observations /20
= 
Variance = ![\frac{1}{20} [\Sigma_1^{20} (x_i-49.95)^2 ]\\=269.7475](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B20%7D%20%5B%5CSigma_1%5E%7B20%7D%20%28x_i-49.95%29%5E2%20%5D%5C%5C%3D269.7475)
Std deviation= square root of variance
= 16.424
Population estimate for mean = 49.95
Population estimate for std dev =
=3.673
The value that separate 50% top form 50% bottom is the median
Median is the middle value after arranging in ascending order
=average of 47 and 48 = 47.5
Proportion of atleast 60 = 2/20 = 0.1
Answer:
$17.89
Step-by-step explanation:
Net Price: $ 16.99
+ Sales Tax (5.3%): $ 0.90
Total Price: $ 17.89
One hundredth the product of 17 and 24 is 1.7*2.4
17*24=408, and 408 divided by 100 is 4.08 1.7*2.4 also equals 4.08
One-tenth of 24 is 408÷170
24 divided by 10 is 2.4 408÷170 is also 2.4
One hundred times 24 is 408÷0.17
24*100=2400 408/0.17 is also 2400 (Double check: 2400*0.17=408)
3 buses to 11 cars is the ratio