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givi [52]
3 years ago
13

You roll two dice. What is the probability that the sum of the dice is prime and both dice show the number 6?

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0
 <span>The probability of both dice showing 6: 

The total possible outcomes of rolling 2 dice is 36. (1+1,1+2,..., 6+5, 6+6). Only one of these 36 rolls give two 6s. Hence, The probability of both dice showing 6 is 1/36 (1 in 36). 


We have 1 + 2 + 4+ 6 +2 ways to get prime rolls, which is a total of 15 ways. 
Hence the probability of getting a prime is 15/36.</span>
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A truck travels 500 miles at an average speed of 60 miles per hour on a return trip on the same route and travels at an average
marta [7]

The return trip took 1 hour 42 minutes longer

Further explanation:

The distance will remain same on return.

The formula for speed is given by:

Speed=\frac{Distance}{Time}

Let d be the distance

s1 be the speed while going and s2 be the speed while returning

and

t1 be the time while going and t2 be the time while returning

d=500 miles

s1=60 miles per hour

s2=50 miles per hour

We have to calculate time for both trips,

So,

<u>Time while Going:</u>

<u>s_1=\frac{d}{t_1}\\t_1=\frac{d}{s_1}</u>

<u>Putting the values of d and s1</u>

<u>t_1=\frac{500}{60}\\=8.3\ hours</u>

<u>Converting 8.3</u>

8 will be the hours,

for 0.3 hour

0.3*60=18 minutes

The first trip took 8 hours and 18 minutes.

<u>Time while returning:</u>

s_2=\frac{d}{t_2}\\t_2=\frac{d}{s_2}

Putting the values of d and s1

t_2=\frac{500}{50}\\=10\ hours

The difference of both times is: 1 hour 42 minutes

So,

The return trip took 1 hour 42 minutes longer

Keywords: Time, Distance, Speed

Learn more about movement at:

  • brainly.com/question/2367554
  • brainly.com/question/2670657

#LearnwithBrainly

8 0
3 years ago
Home work<br>Give (2) advantages and<br>disadvantages of modern<br>and traditional Kitchen​
Allisa [31]

Answer:

modern kitchen=sandwich,Chinese food etc.

traditional kitchen = roti,sabji indian food etc.

4 0
3 years ago
Show the different measuring instruments to be used in the economic/business system of the new civilization.
ddd [48]

Answer:

What Is Economics?

Economics is a social science concerned with the production, distribution, and consumption of goods and services. It studies how individuals, businesses, governments, and nations make choices about how to allocate resources. Economics focuses on the actions of human beings, based on assumptions that humans act with rational behavior, seeking the most optimal level of benefit or utility. The building blocks of economics are the studies of labor and trade. Since there are many possible applications of human labor and many different ways to acquire resources, it is the task of economics to determine which methods yield the best results.

Economics can generally be broken down into macroeconomics, which concentrates on the behavior of the economy as a whole, and microeconomics, which focuses on individual people and businesses.

KEY TAKEAWAYS

Economics is the study of how people allocate scarce resources for production, distribution, and consumption, both individually and collectively.

Two major types of economics are microeconomics, which focuses on the behavior of individual consumers and producers, and macroeconomics, which examine overall economies on a regional, national, or international scale.

Economics is especially concerned with efficiency in production and exchange and uses models and assumptions to understand how to create incentives and policies that will maximize efficiency.

Economists formulate and publish numerous economic indicators, such as gross domestic product (GDP) and the Consumer Price Index (CPI).

Capitalism, socialism, and communism are types of economic systems.

Understanding Economics

Schools of Economic Theory

There are many competing, conflicting, or sometimes complementary theories and schools of thought within economics.

Economists employ many different methods of research from logical deduction to pure data mining. Economic theory often progresses through deductive processes, including mathematical logic, where the implications of specific human activities are considered in a "means-ends" framework. This type of economics deduces, for example, that it is more efficient for individuals or companies to specialize in specific types of labor and then trade for their other needs or wants, rather than trying to produce everything they need or want on their own. It also demonstrates trade is most efficient when coordinated through a medium of exchange, or money. Economic laws deduced in this way tend to be very general and not give specific results: they can say profits incentivize new competitors to enter a market, but not necessarily how many will do so. Still, they do provide key insights for understanding the behavior of financial markets, governments, economies—and human decisions behind these entities.  

Economic Indicators

Economic indicators are reports that detail a country's economic performance in a specific area. These reports are usually published periodically by governmental agencies or private organizations, and they often have a considerable effect on stocks, fixed income, and forex markets when they are released. They can also be very useful for investors to judge how economic conditions will move markets and to guide investment decisions.

Consumer Price Index (CPI)

The Consumer Price Index (CPI), also issued by the BLS, measures the level of retail price changes (the costs that consumers pay) and is the benchmark for measuring inflation. Using a basket that is representative of the goods and services in the economy, the CPI compares the price changes month after month and year after year.7  This report is one of the more important economic indicators available, and its release can increase volatility in equity, fixed income, and forex markets. Greater-than-expected price increases are considered a sign of inflation, which will likely cause the underlying currency to depreciate.

Feudalism

Later, as civilizations developed, economies based on production by social class emerged, such as feudalism and slavery. Slavery involved production by enslaved individuals who lacked personal freedom or rights and were treated as the property of their owner. Feudalism was a system where a class of nobility, known as lords, owned all of the lands and leased out small parcels to peasants to farm, with peasants handing over much of their production to the lord. In return, the lord offered the peasants relative safety and security, including a place to live and food to eat.

Socialism

Socialism is a form of cooperative production economy. Economic socialism is a system of production where there is limited or hybrid private ownership of the means of production (or other types of productive property) and a system of prices, profits, and losses is not the sole determinant used to establish who engages in production, what to produce and how to produce it. Segments of society band together to share these functions

4 0
3 years ago
The center of a circle is at (2 -5) and it's radius is 12. <br>What is the equation of the circle?​
hichkok12 [17]

Answer:

144

Step-by-step explanation:

8 0
3 years ago
How do you factor 2x^3+5y^3
Pavel [41]
All you do is...
\mathrm{Apply\:sum\:of\:cubes\:rule:\:}x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)

2x^3+5y^3=\left(\sqrt[3]{2}x+\sqrt[3]{5}y\right)\left(\left(\sqrt[3]{2}\right)^2x^2-\sqrt[3]{2}\sqrt[3]{5}xy+\left(\sqrt[3]{5}\right)^2y^2\right)
\left(\sqrt[3]{2}x+\sqrt[3]{5}y\right)\left(\left(\sqrt[3]{2}\right)^2x^2-\sqrt[3]{2}\sqrt[3]{5}xy+\left(\sqrt[3]{5}\right)^2y^2\right) \ \textgreater \  Refine

\left(\sqrt[3]{2}x+\sqrt[3]{5}y\right)\left(2^{\frac{2}{3}}x^2-\sqrt[3]{10}xy+5^{\frac{2}{3}}y^2\right)

Hope this helps!
4 0
3 years ago
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