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ValentinkaMS [17]
4 years ago
11

You pull one card at random from a standard deck and you shuffle the remaining cards. Then you pull another card. Is the event i

ndependent or dependent?
Mathematics
1 answer:
Anastasy [175]4 years ago
6 0

Answer:

If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.

Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.

So, we can say that it is an example of independent event.

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The average of five numbers is 27. Four of the five numbers are 48, 8, 43, and 10. What is the other number?
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3 years ago
The system of equations is given:
Nutka1998 [239]

Answer:

x=-1/85; y=-283/85; z=2/17

Step-by-step explanation:

Using an algebraic method like elimination or substitution would take a lot of steps which could lead to mistake the calculations. In this case, I decided to use the Gaussian elimination. We can express the system in matrix form as follows:

\left[\begin{array}{ccc}2&-4&6\\9&-3&1\\5&0&9\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}14\\10\\1\end{array}\right]

To begin the calculations, we write the system in augmented matrix form and use the Gaussian elimination:

\left[\begin{array}{ccccc}2&-4&6&|&14\\9&-3&1&|&10\\5&0&9&|&1\end{array}\right]

By applying the Gaussian elimination, the final matrix is the following:

\left[\begin{array}{ccccc}1&0&0&|&-1/85\\0&1&0&|&-283/85\\0&0&1&|&2/17\end{array}\right]

In order to verify the results, it´s enough to substitute the calculated values in the original equations to see if the equalities are correct. Here you can see the verification for all of the equations:

2(-1/85)-4(-283/85)+6(2/17)=14\\9(-1/85)-3(-283/85)+1(2/17)=10\\5(-1/85)+9(2/17)=1

6 0
3 years ago
Is the equation linear or quadratic?<br> t(x)=x+5<br> O A. linear<br> O B. quadratic
olasank [31]

Answer:

A. Linear

Step-by-step explanation:

The equation (t(x)=x+5) is a linear equation. As per its definition, a linear equation is an equation where all terms are to the first degree, meaning that none of the terms have an exponent. The equation, (t(x)=x+5) falls under this category, as none of its terms has an exponent, therefore, the equation is a linear equation.

4 0
3 years ago
Read 2 more answers
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