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Irina18 [472]
3 years ago
11

An experiment observes an integer uniformly chosen from {1.2, 3.4.5, 6, 7, 8, 9, 10, 11.12}

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

Answer:

Options D & E are independent

Step-by-step explanation:

For any of the options to be independent, they have to be mutually exclusive i.e A ∩ B = 0

A) A ∩ B = {1, 2, 3}. They are not mutually exclusive and so they are not independent.

B) A ∩ B = {3}. They are not mutually exclusive and so they are not independent.

C) A ∩ B = {8}. They are not mutually exclusive and so they are not independent.

D) A ∩ B = 0. They are mutually exclusive and thus they are independent.

E) A ∩ B = 0. They are mutually exclusive and thus they are independent.

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The equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the grap
Ivahew [28]

Answer:

4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20

Step-by-step explanation:

The equations

4 x - 5 y = 5 (red)

3 x + 10 y = 20 (blue)

4 x - 5 y = -5 (green)

3 x + 10 y = -20 (purple)

are shown in the picture attached. As we can see there, the point (–2.7, –1.2) is on the intersection of the purple and green lines. Therefore is the solution of the system:

4 x - 5 y = -5

3 x + 10 y = -20

4 0
3 years ago
Read 2 more answers
If Rachel now owes a quarter of the money that she once owed, what could you do to find how much money she owes now?
MakcuM [25]
Divide what she owed is the right answer
8 0
3 years ago
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PLEASE HELP!!!!! What is the value of x in the matrix equation below?
Brums [2.3K]

The given matrix equation is,

1.5\left[\begin{array}{cc}x&6\\8&4\end{array}\right] +y\left[\begin{array}{cc}1&4\\3&2\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right].

Multiplying the matrices with the scalars, the given equation becomes,

\left[\begin{array}{cc}1.5x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]  \\

Adding the matrices,

\left[\begin{array}{cc}1.5x+y&9+4y\\12+3y&6+2y\end{array}\right]  =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]  \\

Matrix equality gives,

1.5x+y=z\\ 9+4y=z\\ 12+3y=6z\\ 6+2y=2

Solving the equations together,

y=-2\\ 3y-1.5x=9\\ -1.5x=9+6\\ x=-10

We can see that the equations are not consistent.

There is no solution.

3 0
3 years ago
The lowest number is 11 the range is 13 and the median is 17 what are the 3 numbers
11Alexandr11 [23.1K]

Answer:

11, 17, and 28.

Step-by-step explanation:

x, y, z\\

Lowest number is x

Median is y

Highest number is z

x=11\\y=17\\\\z-x=17\\z-11=17\\z-11+11=17+11\\z=28\\\\x=11\\y=17\\z=28\\\\11, 17, 28

3 0
3 years ago
Sally works 40 hours a week and makes $20 an hour, but her kids are in child care each day and the day care center charges her $
Maslowich

Answer:

$11.25

Step-by-step explanation:

Multiply the number of hours she works by how much she gets paid per hour.

800

Multiply 50 times 7 (50 being the amount charged for her kid and 7 being the days of the week)

350

Subtract the 350 from the 800

450

Divide the 450 by the number of hours worked per week

450/40

Answer: 11.25

So Sally actually makes 11.25 per hour.

5 0
3 years ago
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