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Butoxors [25]
3 years ago
14

If you roll a normal dice 120 times .how many 4s would you except to get

Mathematics
1 answer:
shusha [124]3 years ago
5 0
Roll the dice 120 times

Number of outcomes from rolling the dice = 6
Probability of 4 falling in 1 roll = 1/6 

Probability of the number of 4s in 120 rolls = 120 * 1/6
                                                                    = 20 times

The probability that 4s falls in 120 dice rolls is 20 times.
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1/2 x + 2 = 1/6 x - 1 =
aksik [14]

Step-by-step explanation:

1/2x+2−1/6x=1/6x−1−1/6x

1/3x+2=−1

1/3x+2−2=−1−2

1/3x=−3

3*(1/3x)=(3)*(−3)

x=−9 <- ANSWER

3 0
3 years ago
Please help me simplify these expressions
Fantom [35]

Answer:

1.  -18x¹¹

2.  3n⁷

Step-by-step explanation:

For these problems, there are two things you need to worry about: negative signs and exponents.

1. Let's look at the signs first.  There is only one value with a negative sign, meaning that the negative sign will stay.

When multiplying with exponents, you have to add up the exponents.  Don't forget the numerical coefficients.

-3x² · 3x · 2x³ · x⁵ = -18x¹¹

2.  There are two negative signs in this probem, meaning that they will cancel out.  Multiply the rest like we did in the first problem.

3n² · -n² · -n³ = 3n⁷

7 0
3 years ago
Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt+2x−2=05t3dx
uranmaximum [27]
Given the differential equation

5t^3 \frac{dx}{dt} +2x-2=0

The solution is as follows:

5t^3 \frac{dx}{dt} +2x-2=0 \\  \\ \Rightarrow5t^3 \frac{dx}{dt} =2-2x \\  \\ \Rightarrow \frac{5}{2-2x} dx= \frac{1}{t^3} dt \\  \\ \Rightarrow \int {\frac{5}{2-2x} } \, dx = \int {\frac{1}{t^3}} \, dt \\  \\ \Rightarrow- \frac{5}{2} \ln(2-2x)=- \frac{1}{2t^2} +A \\  \\ \Rightarrow\ln(2-2x)= \frac{1}{5t^2} +B\\  \\ \Rightarrow2-2x=Ce^{\frac{1}{5t^2}} \\  \\ \Rightarrow 2x=Ce^{\frac{1}{5t^2}}+2 \\  \\ \Rightarrow x=De^{\frac{1}{5t^2}}+1
3 0
3 years ago
Solve the following system : -x + 5y = 8 and 3x + 7y = -2
poizon [28]

-x + 5y = 8

multiply this equation by 3

-3x + 15y = 24

now add it to the other equation  ( elimination)

-3x + 15y = 24

3x + 7y = -2

-----------------------

0x  + 22 y = 22

divide each side by 22

y =1


substitute into -x + 5y =8  to find x

-x + 5(1) = 8

-x + 5 = 8

-x =3

divide by -1

x =-3

Answer (-3,1)

Choice A


4 0
3 years ago
Can someone please help me with number 6?
Vlad1618 [11]

Step-by-step explanation:

substitute a with 2 and b with 3

2x+3

because it's the same equation it should just be an equal sign.

8 0
2 years ago
Read 2 more answers
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