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STatiana [176]
3 years ago
12

Two six-sided dice are rolled. Find the probability that the sum of the two faces that turn up is between 1 and 14.

Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

100%

Step-by-step explanation:

100 percent.

No matter what, the sum of the two faces that turn up will be between 1 and 14.

This means that it will occur, 100 percent of the time, or 10 out of 10 times.

Since each die is 1-6, the sum of the two faces will always be between 2 and 12.

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If the order doesn't matter, then the probability is 37.5%
If it has to be head head tail, then the probability is 12.5%

If the order doesn't matter, the possible outcomes that have two heads and one tail are HHT, HTH, and THH. Since these all have a probability of 12.5% of occuring, the probability of any of them occuring is 37.5%
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Answer:

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Paula is painting a henhouse. If a can of paint will cover 24 square feet, how many cans of paint does she need to buy? Explain
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3 years ago
The masses mi are located at the points Pi. Find the moments Mx and My and the center of mass of the system. m1 = 4, m2 = 3, m3
viva [34]

Answer:

M_x= 8

M_y = 6

Therefore the co-ordinate of the center of mass is = (\frac{4}{5},\frac{3}{5})

Step-by-step explanation:

Center of mass: Center of mass of an object is a point on the object. Center of mass is the average position of the system.

Center of mass of a triangle is the centriod of a triangle.

Given that m₁= 4, m₂=3, m₃=3 and the points are P₁(2,-3), P₂(-3,1) and P₃(3,5)

M_x = ∑(mass × x-co-ordinate)

M_y = ∑(mass × y-co-ordinate)

Therefore  

M_x = (4×2)+{3×(-3)}+(3×3)

     =8

M_y = {4×(-3)}+{3×1}+(3×5)

    =6

The x co-ordinate of the center of mass is the ratio of M_x to the total mass.

The y co-ordinate of the center of mass is the ratio of M_y to the total mass.

Total mass (m) = m₁+ m₂+ m₃

                        = 4+3+3

                        =10

The x co-ordinate of the center of mass is \frac {8}{10} = \frac {4}{5}

The y co-ordinate of the center of mass is \frac{6}{10}=\frac{3}{5}

Therefore the co-ordinate of the center of mass is = (\frac{4}{5},\frac{3}{5})

4 0
3 years ago
What is the domain of y=cot x?
MissTica

We have to find the domain of y = cotx

We know that cotx = cos x / sinx

And also when sinx becomes zero cotx becomes undefined

And again we know that value of cosx and sinx can be between -1 to 1

But value of cotx can lie in between -∞ to +∞

Just for example cot30 is cos30 / sin30

= √3/2/1/2 = √3

Therefore domain of cotx is x

x ∈ R , x ≠ πn for any integer n

5 0
3 years ago
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