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11111nata11111 [884]
3 years ago
13

Which of the following describes a simple event?

Mathematics
1 answer:
stira [4]3 years ago
4 0
D.spinning a spinner
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Use cramers Rule to solve the following system:
Jet001 [13]

Answer:

The solution to the system is x=1,y=-2 and z=-5

Step-by-step explanation:

Cramer's rule defines the solution of a system of equations in the following way:

x= \frac{D_x}{D}, y= \frac{D_y}{D} and z= \frac{D_z}{D} where D_x, D_y and D_z are the determinants formed by replacing the x,y and z-column values with the answer-column values respectively. D is the determinant of the system. Let's see how this rule applies to this system.

The system can be written in matrix form like:

\left[\begin{array}{ccc}5&-3&1\\0&2&-3\\7&10&0\end{array}\right]\times \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}6&11&-13\end{array}\right]

Then each of the previous determinants are given by:

D_x = \left|\begin{array}{ccc}6&-3&1\\11&2&-3\\-13&10&0\end{array}\right|=199 Notice how the x-column has been substituted with the answer-column one.

D_y = \left|\begin{array}{ccc}5&6&1\\0&11&-3\\7&-13&0\end{array}\right|=-398 Notice how the y-column has been substituted with the answer-column one.

D_z = \left|\begin{array}{ccc}5&-3&6\\0&2&11\\7&10&-13\end{array}\right|=-995

Then, substituting the values:

x= \frac{D_x}{D}=\frac{199}{199}\\ x=1

x= \frac{D_y}{D}=\frac{-398}{199}\\ y=-2

x= \frac{D_z}{D}=\frac{-995}{199}\\ x=-5

3 0
3 years ago
Barry wants to open a checking account. He wants online services, and a debit card. He is looking at the following tables of fee
Alla [95]

Answer:

ITS B 78 Bucks

Step-by-step explanation:

8 0
3 years ago
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How to find the median with a easy explanation?
Westkost [7]

Answer:

Step-by-step explanation:

The median is the middle score of a distribution. To calculate the median

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Consider this set of numbers: 1, 3, 3, 6, 7, 8, 9. Since you have an odd number of scores, the median (middle number) would be 6.

What happens when you have an even number of scores so there is no single middle score? Consider this set of numbers: 1, 2, 2, 4, 5, 7. Since there is an even number of scores, you need to take the average of the middle two scores, calculating their mean

in this case, the mean would be 2 + 4 (add the two middle numbers), which equals 6. Then, you take 6 and divide it by 2 (the total number of scores you added together), which equals 3. So, for this example, the median is 3.

6 0
3 years ago
Find f(3) if f(x) = -4x + 1?
Ilia_Sergeevich [38]

Answer:

f (3) equals -11

Step-by-step explanation:

f (x) = -4x + 1

For f(3), just substitute 3 in the place of x:-

f (3) = -4 x 3 + 1

f (3) = -12 + 1

<h3><u>f (3) = -11</u></h3>
8 0
3 years ago
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Sort each description of data into the appropriate category.
Alex787 [66]

Answer:

Step-by-step explanation:

Qualitative:

Eye colour

Grade level

favourite music group

Quantitive:

Capacity in litres

Height in inches

Number of siblings

6 0
3 years ago
Read 2 more answers
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