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ollegr [7]
3 years ago
9

Henry tosses a coin, and it comes up "Heads" three times in a row. What is the probability that the next toss will also be a "He

ad"?
A) 0.0625

B) 0.125

C) 0.25

D) 0.5
Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer:

D) 0.5

Step-by-step explanation:

The previous coin tosses don't affect the outcome of future tosses, meaning that each time you flip the coin, the probability of it being heads is still 50%.

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Step-by-step explanation:

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you would divide for the unit rate or in other words simplify it.

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Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)
lisov135 [29]

Answer:

(a) The system of the equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. has no solution.

(b) The system of the equations \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. has many solutions y=\frac{2x}{3}-\frac{5}{3}

Step-by-step explanation:

(a) To find the solutions of the following system of equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. you must:

Multiply 2x-3y=3 by 2:

\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}

Subtract the equations

4x-6y=3\\-\\4x-6y=6\\------\\0=-3

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. you must:

Isolate x for 4x-6y=10

x=\frac{5+3y}{2}

Substitute x=\frac{5+3y}{2} into the second equation

16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40

The system has many solutions.

Isolate y for 4x-6y=10

y=\frac{2x}{3}-\frac{5}{3}

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3 years ago
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Answer:

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Step-by-step explanation:

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