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Ainat [17]
4 years ago
9

Two ways you could evaluate 37% of the sum of 27 3/5 and 15.9 plz answer as soon as you can

Mathematics
1 answer:
zhannawk [14.2K]4 years ago
4 0

Answer:

16.095.  

Step-by-step explanation:

We can either find 37% of both the numbers and add the results, or we can add the numbers and then find the 37% of the sum.  

1. Let us find 37% of both numbers separately.

First of all we will convert our mixed fraction into improper fraction.

27\frac{3}{5}=\frac{138}{5}

37% of 27\frac{3}{5} will be,

\frac{138}{5}\times \frac{37}{100}=\frac{138}{5}\times 0.37

27.6\times 0.37=10.212

Now let us find 37% of 15.9.

15.9\times \frac{37}{100}=15.9\times 0.37=5.883

Now let us add 37% of both numbers.

10.212+5.883=16.095  

Therefore, 37% of our given numbers will be 16.095.

2. Now we will add both numbers and then find 37% of their sum.

27\frac{3}{5} +15.9=\frac{138}{5}+15.9

27.6 +15.9=43.5

Now let us find 37% of 43.5.  

43.5\times\frac{37}{100}=43.5\times 0.37=16.095

Therefore, 37% of 43.5 is 16.095. We have seen that using either way we got the same answer.


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Experimental probability = 1/5

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note: 1/5 = 0.2 and 1/4 = 0.25

=============================================

How I got those values:

We have 12 hearts out of 60 cards total in our simulation or experiment. So 12/60 = (12*1)/(12*5) = 1/5 is the experimental probability. In the simulation, 1 in 5 cards were a heart.

Theoretically it should be 1 in 4, or 1/4, since we have 13 hearts out of 52 total leading to 13/52 = (13*1)/(13*4) = 1/4. This makes sense because there are four suits and each suit is equally likely.

The experimental probability and theoretical probability values are not likely to line up perfectly. However they should be fairly close assuming that you're working with a fair standard deck. The more simulations you perform, the closer the experimental probability is likely to approach the theoretical one.

For example, let's say you flip a coin 20 times and get 8 heads. We see that 8/20 = 0.40 is close to 0.50 which is the theoretical probability of getting heads. If you flip that same coin 100 times and get 46 heads, then 46/100 = 0.46 is the experimental probability which is close to 0.50, and that probability is likely to get closer if you flipped it say 1000 times or 10000 times.

In short, the experimental probability is what you observe when you do the experiment (or simulation). So it's actually pulling the cards out and writing down your results. Contrast with a theoretical probability is where you guess beforehand what the result might be based on assumptions. One such assumption being each card is equally likely.

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