1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nonamiya [84]
2 years ago
12

You roll a six-sided dice numbered 1-6, and eight sided dice numbered 1-8, and a ten sided dice numbered 1-10. What is the proba

bility of rolling a five on each of the three rolls?
Mathematics
1 answer:
bezimeni [28]2 years ago
8 0

Answer:

1/480

Step-by-step explanation:

<h3>for the 6 sided one</h3>

rolling a 5 is 1/6

<h3>for the 8 sided one</h3>

rolling a 5 is 1/8

<h3>for the 10 sided one</h3>

rolling a 5 is 1/10

total probability= 1/6*1/8*1/10

= 1/480

You might be interested in
1. What are the major forces that drive movements in the atmosphere?
Kruka [31]
1. Wind speed and direction respond to pressure gradient forces that exist between high and low pressure areas. In the Northern Hemisphere and because of the rotation of the earth, winds circulate in a clockwise fashion around areas of high pressure and in a counter-clockwise manner around regions of lower pressure. Air pressure decreases relatively slowly with height in regions dominated by warm air and relatively rapidly with height in areas where cold air prevails. As a result, wind patterns in the upper atmosphere tend to flow in an oscillating manner around major pockets of warm and cold air. 
<span>Horizontal pressure gradient force- results from the high and low pressure systems (highs, lows, troughs and ridges) in the atmosphere. Air tends to move air from regions of high pressure to regions of low pressure.
</span>Friction- the drag on the air by the earth's surface (e.g., plants, trees, buildings, mountains, etc.).

Friction always acts opposite to air motion

<span>Coriolis Force<span>Coriolis force- the force that results from Earth's rotation.The Coriolis force solely results from living on a rotating object -- Earth. It acts only on objects moving with respect to the earth's surfaceCentrifugal force- the tendency for a body to resist a change in direction.
<span>
</span></span></span>2. The amount of sunlight striking an air mass influences its temperature. As the air heats up, it rises in the air column and begins sucking cool air in behind it. This causes the winds that drive much of the planet’s weather systems.

The weather is also affected by the local geography. For example, mountains often block winds and rainfall. This causes one side of the mountain to have very high amounts of rainfall and lush vegetation, while the far side of the mountains remain very dry and desolate.

The air pressure in an area can impede or encourage the flow of weather systems. In general, air masses flow from areas of high pressure towards areas of low pressure. Usually, storms occur in areas of extremely low pressure.

The amount of water in the atmosphere affects the local humidity and rainfall. Air masses that move across bodies of water often draw water up into the air before depositing it somewhere else as rain, snow or sleet

6 0
3 years ago
What is the solution for 2y=x+2<br> x-3y=-5
Mars2501 [29]

Answer:

x = 4

y = 3

Step-by-step explanation:

<u>Given </u><u>equations </u><u>:</u><u>-</u>

  • 2y = x + 2
  • x - 3y = -5

<u>Second</u><u> </u><u>equation</u><u> </u><u>can </u><u>be</u><u> written</u><u> as</u><u> </u><u>,</u><u> </u>

  • x - 3y = -5
  • -3y = -x - 5

<u>Adding</u><u> </u><u>them </u><u>:</u><u>-</u><u> </u>

  • -3y + 2y = 2 -5
  • -y = -3
  • y = 3

<u>Put </u><u>this </u><u>in </u><u>(</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>

  • x = 3y - 5
  • x = 3*3 - 5
  • x = 9 -5
  • X = 4
8 0
2 years ago
Read 2 more answers
The perimeter of an equilateral triangle is 114mm. <br> State the length of one of its sides
spin [16.1K]

Answer:

Since an equilateral triangle has all three side equal then one of its side is 38mm

8 0
2 years ago
Direct and Indirect Proportions
ivanzaharov [21]

Answer:

?

Step-by-step explanation:

5 0
3 years ago
Under average driving conditions, the life lengths of automobile tires of a certain brand are found to follow an exponential dis
wariber [46]

Answer:

a) P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368

b) P(X>30000|X>15000)=P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

X \sim Exp(\lambda=\frac{1}{30000})

The cumulative distribution function is given by:

F(X) = 1- e^{-\frac{x}{\mu}}

Part a

We want to find this probability:

P(X>30000) and for this case we can use the cumulative distribution function to find it like this:

P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368

Part b

For this case w want to find this probability

P(X>30000|X>15000)

We have an important property on the exponential distribution called "Memoryless" property and says this:

P(X>a+t| X>t)=P(X>a)  

On this case if we use this property we have this:P(X>30000|X>15000)=P(X>15000+15000|X>15000)=P(X>15000)

We can use the definition of the density function and find this probability:

P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607

7 0
2 years ago
Other questions:
  • What is 2/3 of 6 days?
    7·2 answers
  • Find the slope of the line that goes through (-1,2) and (-1,9)
    6·1 answer
  • Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -200 ft. Then she continued to hike down fo
    13·1 answer
  • W(x) = 5^2x + 1; Find w(0)
    6·1 answer
  • Which of the following is false?
    6·2 answers
  • Hey can you please help me posted picture of question
    9·1 answer
  • Sarah has to travel 60 miles to see her friend. Her dad drives at 30 mph and her uncle drives at 40 mph. How much time does she
    7·1 answer
  • -x +2y =-8 find the slope and y intercept
    12·1 answer
  • 3(x+3/4+5-x/4-x/6)=10​
    15·1 answer
  • Given that lines m and n are parallel and m&lt;60, find the measures of the remaining angles m&lt;3=?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!