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Sati [7]
3 years ago
9

Two fair dice are rolled 4 times and the sum of the numbers that come up are recorded. Find the probability of these events. A)

the sun is 5 on each of the four rolls. B) the sun is 5 exactly three times in the four rolls.
Mathematics
1 answer:
Elza [17]3 years ago
8 0

Answer:

See below in bold.

Step-by-step explanation:

A.  On one roll the possible ways to get a sum of 5 is (2,3, ) and (4, 1).

There are 36 possible outcomes from the one roll of the 2 dice.

So the probability of getting  a sum of 5 on one roll =  2/36 = 1/18.

So the probability of 5 on 4 rolls = (1/18)^4

= 1/104976.

B.  

The probability of the first 3 rolls being a 5 and the last one being not 5

= (1/18)^3 * (17/18)

= 17/104976

There are 4 ways to  pick 3 out of 4 so the required probability

=  4 * 17/104976

= 68/104976.

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The line of symmetry is x = 8, and it means that it takes 8 seconds to reach the maximum height and 8 more seconds to reach the ground.

7 0
3 years ago
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Can I get help with this please ????
storchak [24]

Answer:

B

Step-by-step explanation:

Use formula given above

4 0
3 years ago
Find the probability of each event. Answer IN FRACTION form.
IrinaK [193]

Answer:

So the idea is that we want to find the total number of ways that we can pick 7 diamonds (real or fake) from the 12 diamonds.

So as you said, 12 choose 7 = 792

Now we need the total number of ways that we can satisfy that of the 7 we picked, exactly three are real, but this also means that four are fake.

 

So to choose 3 real from 5 is 5 choose 3 = 10

And to choose 4 fake from 7 is 7 choose 4 = 35

3x10/792= 350/792= 175/396

5 0
4 years ago
Can the values be added or subtracted? If one value needs to be converted to another, describe the conversation. 32.8 kg+64.3 km
Kay [80]

Those two quantities cannot be added.

In order to add or subtract quantities, they don't necessarily both need to
have the same units, but both must have the same physical dimensions
so that one unit can be converted to be the same as the other unit.

"Physical dimensions" are things like mass, length, area, volume, time,
force, speed, etc.

In this problem, one quantity has the unit 'kg'so its physical dimension is <em><u>mass</u></em>. 
The other quantity has the unit 'km' so its physical dimension is <em><u>length</u></em>.  Obviously
these physical dimensions are different, so there's no way that either unit can be
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7 0
3 years ago
The sides of an equilateral triangle are 8 units long. What is the length of the altitude of the triangle?
beks73 [17]

Answer:

Option B.

Step-by-step explanation:

It is given that the sides of an equilateral triangle are 8 units long.

Draw an altitude of the triangle.

Altitude of an equilateral triangle is perpendicular bisector.

Let x be the length of the altitude of the triangle.

According to the Pythagoras theorem

hypotenuse^2=base^2+perpendicular^2

Using Pythagoras theorem we get

8^2=4^2+x^2

64=16+x^2

64-16=x^2

48=x^2

Taking square root on both sides.

\sqrt{48}=x

4\sqrt{3}=x

The length of the altitude of the triangle is 4√3 units.

Therefore, the correct option is B.

8 0
3 years ago
Read 2 more answers
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