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Aliun [14]
3 years ago
5

According to www.whitehouse.gov, the government had about $2.1 trillion in receipts and $2.8 trillion in outlays (expenses) for

2013. Does this represent a surplus or a deficit? What was the ratio of the government's expenses to it's receipts for 2013? Express this as a decimal rounded to the thousandths place.
Mathematics
1 answer:
NARA [144]3 years ago
6 0

Answer:

The ratio of the government's expenses to it's receipts for 2013 is 1.3333333 trillion

Step-by-step explanation:

According to the given data we have the following:

Receipt=$2.1 trillion

Expenses=$2.8 trillion

Hence, it represent a decifit of $2.8 trillion-$2.1 trillion=$0.7 trillion

Therefore, to calculate the the ratio of the government's expenses to it's receipts for 2013 we would have to use the following formula:

ratio of the government's expenses to it's receipts=$2.8 trillion/$2.1 trillion

ratio of the government's expenses to it's receipts=1.3333333 trillion

The ratio of the government's expenses to it's receipts for 2013 is 1.3333333 trillion

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Some of the children at a school arrive by car.
scZoUnD [109]

Answer:

  • <u>74%</u>

Explanation:

You can build a two-way relative frequency table to represent the data:

These are the columns and rows:

               Car         No car      Total

Boys

Girl

Total

Fill the table

  • <em>30% of the children at the school are boys</em>

             Car         No car      Total

Boys                                       30%

Girl

Total

  • <em>60% of the boys at the school arrive by car</em>

That is 60% of 30% = 0.6 × 30% = 18%

             Car         No car      Total

Boys      18%                         30%

Girls

Total

By difference you can fill the cell of Boy and No car: 30% - 18% = 12%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total

Also, you know that the grand total is 100%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total                                     100%

By difference you fill the total of Girls: 100% - 30% = 70%

             Car         No car      Total

Boy       18%           12%         30%

Girl                                         70%

Total                                     100%

  • <em>80% of the girls at the school arrive by car</em>

That is 80% of  70% = 0.8 × 70% = 56%

             Car         No car      Total

Boy       18%           12%         30%

Girl       56%                         70%

Total                                     100%

Now you can finish filling in the whole table calculating the differences:

             Car         No car      Total

Boy       18%           12%         30%

Girl        56%         14%         70%

Total     74%          26%      100%

Having the table completed you can find any relevant probability.

The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.

That is because that column represents the percent of boys and girls that that  arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.

8 0
3 years ago
1. Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial i
Katena32 [7]
Polynomial with real coefficients always has even number of complex roots. We know that one of them is 2 + 5i so the second one will be  2 - 5i and:

f(x)=\big(x-4\big)\big(x-(-8)\big)\big(x-(2+5i)\big)\big(x-(2-5i)\big)=\\\\=(x-4)(x+8)(x-2-5i)(x-2+5i)=\\\\=(x^2-4x+8x-32)(x^2-2x+5ix-2x+4-10i-5ix+10i-25i^2)\\\\=\big(x^2+4x-32\big)\big(x^2-4x+4-25\cdot(-1)\big)=\\\\=(x^2+4x-32)(x^2-4x+29)=\\\\=x^4-4x^3+29x^2+4x^3-16x^2+116x-32x^2+128x-928=\\\\=\boxed{x^4-19x^2+244x-928}

Answer B.
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Answer:

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<u>Slope:</u>

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3 years ago
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Multiply the cost per mile by number of miles “m” and add that amount to the $50:

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