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3 years ago

Explain in detail the difference between the United States government's budget deficit versus the national debt.

Business

1 answer:

Simora [160]3 years ago

5 0

Answer:

The debt is the total the U.S. government owes—the sums it borrowed to cover last year's deficit and all the deficits in years past.

Explanation:

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A bag contains 9 red marbles, 5 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. Find t

IRINA_888 [86]

a) 0.0260

b) 0.0681

Explanation:

The bag contains:

r = 9 (number of red marbles)

w = 5 (number of white marbles)

b = 6 (number of blue marbles)

So, the total number of marbles in the bag at the beginning is:

$n=9+5+6=20$

At the 1st attempt, the probability of choosing a red marble is:

$p(r)=\frac{r}{n}=\frac{9}{20}$ (1)

At the 2nd attempt, the 1st red marble is not placed back, so now the number of marbles is (n-1), while the number of red marbles left is (r-1). So the probability of choosing another red marble at the 2nd attempt is

$p(r)=\frac{r-1}{n-1}=\frac{8}{19}$ (2)

With a similar argument, the probabilities of selecting a red marble in the 3rd and 4th attempt are

$p(r)=\frac{7}{18}$ (3)

$p(r)=\frac{6}{17}$ (4)

Therefore, the probability of drawing 4 red marbles in the first 4 attempts without replacing is:

$p(rrrr)=\frac{9}{20}\frac{8}{19}\frac{7}{18}\frac{6}{17}=\frac{3024}{116280}=0.0260$

At the 1st draw, the probability that the marble is not red is:

$p(r^c)=1-p(r)=1-\frac{9}{20}=\frac{11}{20}$

At the 2nd draw, there are 9 red marbles left and 19 total marble left. So, the probability of NOT drawing a red marble is:

$p(r^c)=1-\frac{9}{19}=\frac{10}{19}$

At the 3rd draw, there are 9 red marbles left and 18 total marbles left. So, the probability of NOT drawing a red marble is:

$p(r^c)=1-\frac{9}{18}=\frac{9}{18}$

Finally, with a similar argument the probability of NOT drawing a red marble at the 4th and last attempt is:

$p(r^c)=\frac{8}{17}$

So, the total probability of drawing 4 non-red marbles in the first 4 attempts is:

$p(r^cr^cr^cr^c)=\frac{11}{20}\frac{10}{19}\frac{9}{18}\frac{8}{17}=\frac{7920}{116,280}=0.0681$

6 0

3 years ago

Explain the use of NBT

Natalija [7]

The National Benchmark Tests (NBTs) are assessments for first-year applicants into higher education institutions. The NBTs were designed to measure a writer's ability to transfer understanding of Academic Literacy, Quantitative Literacy and Mathematics to the demands of tertiary coursework

3 0

2 years ago

Read 2 more answers

Fernstrom Corporation has two divisions: East and West. Data from the most recent month appear below: East West Sales $ 330,000

GenaCL600 [577]

Answer:

The company’s overall net operating income would be $52,140

Explanation:

If the all divisions of the company are operates at break even level the overall net operating income of the company would be zero . because at break even level the sales value is equals to total variable cost plus total fixed cost if the company incurring any addition fixed cost then the over all net operating income will show loss of additional fixed incurred. The answer for the given question is the overall net operating income of the company would be ($52,140).

3 0

3 years ago

When firms purchase new capital we call this _____

tatuchka [14]

Answer:

Business fixed investment

Explanation:

The <u><em>purchase by firms of new capital goods</em></u> such as machinery, factories, and office buildings. (Remember that for the purposes of calculating GDP, long-lived capital goods are treated as final goods rather than as intermediate goods.) Firms buy capital goods to increase their capacity to produce.

6 0

3 years ago

Read 2 more answers

For a note receivable that was created on November 1, 2018 and is due for repayment on October 31, 2019, what is the time fracti

Alenkasestr [34]

Answer:

Correct answer is A.

2/12

Explanation:

The total time period for which interest will be accrued and will be credited to the interest income account would be for the period November 1,2018 - December 31,2018 i.e 2 months.

5 0

3 years ago