Why is it not useful to look around the room when listening to a speech ?

Suppose you worked in the government. A company wants to set up a factory in your country. It would bring jobs, but it would als

Alika [10]

No, i personally wouldn’t because it would harm the environment and society more than help :)

4 0

2 years ago

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:

a)

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:

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

b)

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

2 years ago

Ann Hopkins borrowed $60,000 for her child’s education. She must repay the loan at the end of 8 years in one payment with 512% i

mart [117]

The Maturity Value that Ann must pay is $89,461.

Assuming the rate of interest is compounded annually.

Given,

Principal value = $60,000 = P

Rate of interest = 5.12% = i

Number of years = 8 = T

Since maturity value = Amount

Now, using the formula for calculating the amount,

Amount = P × {(1+i)^T}

Now, substituting the given values in the above formula for amount we get,

Amount = $60,000 × {(1+0.0512)^8}

= $60,000 × {(1.0512)^8}

= $60,000 × 1.49101776418

= $89,461.0658

= $89,461 (Approximately)

Hence, The Maturity Value that Ann must pay is $89,461.

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7 0

2 years ago

Which two advantages do renters have that home buyers don’t have?

Ulleksa [173]

The two advantages are:

- Renters are not affected by changing property price

- Renters don’t have to pay for major repairs to the property

The housing department require the home owner to pay for major repairs that happen in the rented place (Such as broken roof or leaking gas). Not only that, the owner of the home is the one that would be financially damaged if the housing markets experience a crash.

6 0

3 years ago

Read 2 more answers

Here is economic calendar for the United Kingdom for August 2013, Examine indicators like PMI (Market UK PMI Manufacturing), emp

Gelneren [198K]

Based on the majors indicators, the U.K economy perform above expectations as the UK surprised the world in the second half to 2013 with the robustness of its economy.

<h3>What are the three major indicators of the economy?</h3>

Economic indicators cover measurements of stability and macroeconomic performance, such as gross domestic product (GDP), consumption, investment, and international commerce (central government budgets, prices, the money supply, and the balance of payments).

The GDP, unemployment rate, and inflation are the main three indicators that economists look at to determine how the economy is performing overall. The primary gauge of macroeconomic performance is generally acknowledged to be the Gross Domestic Product (GDP). An economy's overall size can be determined by looking at its GDP in absolute terms, whereas its overall health can be determined by observing fluctuations in GDP, which are frequently quantified as real GDP growth.

To learn more about macroeconomic, visit:

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3 0

1 year ago