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3 years ago

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

1 answer:

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.

You might be interested in

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

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