Let the smaller of the two numbers be x. Therefore the larger number is 1 bigger, x+1.
We can solve this equation for x, which will be one of our two numbers.
Now that we've found x, we can find x + 1. In this case,
.
Therefore, the two numbers are 29 and 30.
Answer:
Two consecutive numbers are numbers that come after each other:x , x + 1 are consecutive numbers.3 \sqrt{3} = 3√3 = 5.19615242271Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6
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The probability is 0.4332.
We want to find the z-scores associated with the ends of the ranges. The z-score for 200 would be 0, since it is 0 away from the mean. To find the z-score of 275 we use the formula:
Using a z-table (http://www.z-table.com) we can find the area under the curve to the left of 1.5 (everything less than that, so every score less than 275). This is 0.9338. However, we only want the range from the mean, 200, up to this point. This means we subtract the area to the left of 200, 0.5 (half of the data goes from the mean left), from this:
0.9338-0.5=0.4338.
Answer:
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