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Pepsi [2]
3 years ago
6

The sum of the digits of a two-digit number is 10. When the digits are reversed, the number decreases by 36. Find the original n

umber
Mathematics
1 answer:
drek231 [11]3 years ago
5 0
We have a 2-digit number where the sum of the digits is 10. If we then take the 2-digit number and subtract 36 we get the 2-digit number, reversed.

The 2-digit number can be represented as 10a + b. And we know a + b = 10. We also know that 10a + b - 36 = 10b + a. Arranging gives us 9a - 9b = 36. And then divide by 9 gives us a - b = 4. Now we have a + b = 10 and a - b = 4. Adding those together gives us 2a = 14 and then a = 7. Following that b is 3. This means that the 2 digit number we’re looking for is 73.
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Step-by-step explanation:

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A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ag
Katyanochek1 [597]

Answer:

At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

Step-by-step explanation:

Given that a poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago.

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H_0: p_x =p_y\\H_a: p_x \neq p_y

(Two tailed test at 5% level of significance)

                Group I            Group II              combined p

n                  270                 300                         570

favor            120                  140                          260

p                   0.4444            0.4667                   0.4561

Std error   for differene = \sqrt{\frac{0.4561(1-0.4561)}{570} } \\=0.0209

p difference = -0.0223    

Z statistic = p diff/std error =       -1.066

p value =0.2864

Since p value >0.05, we accept null hypothesis.

        At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

7 0
3 years ago
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Answer:

Step-by-step explanation:

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[7,∞)

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9.9433e+13

Step-by-step explanation:

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4 0
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I know you want those easy points but this aint easy. please help
jekas [21]

Answer:

Answer Below

Step-by-step explanation:

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