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STALIN [3.7K]
3 years ago
14

You roll 2 dice and flip a coin. What's the probability of getting two 4's and a tails?

Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

2/4

Step-by-step explanation:

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Find the inverse of the following matrix without using a calculator 1-1 2 -3 2 1 0 4 - 25
Artist 52 [7]

Answer:

18  -(17/3)   (5/3)

25  (25/3)  (7/3)

4    (4/3)     (1/3)

Step-by-step explanation:

You can solve this problem by using the Gauss-Jordan method.

You have the original matrix and then the Identity matrix.

So:

Original              Identity

1 -1 2                    1 0 0

-3 2 1                   0 1 0

0 4 -25                0 0 1

By the Gauss-Jordan method, in the original place you will have the identity and in the place that the identity currently is you will have the inverse matrix:

So, let's start by setting the first row element to 0 in the second and the third line.

The first row element of the third line is already at zero, so no changes there. In the second line, we need to do:

L2 = L2 + 3L1

So now we have the following matrixes.

1 -1 2        |            1 0 0

0 -1 7       |            3 1 0        

0  4 -25   |            0 0 1

Now we need the element in the second line, second row to be 1. So we do:

L2 = -L2

1 -1 2        |            1 0 0

0 1 -7       |            -3 -1 0        

0  4 -25   |            0 0 1

Now, in the second row, we need to make the elements at the first and third line being zero. So, we have the following operations:

L1 = L1 + L2

L3 = L3 - 4L2

Now our matrixes are:

1 0 -5       |            -2 -1 0

0 1 -7       |            -3 -1 0        

0 0 3       |            12 4 1

Now we need the element in the third line, third row being one. So we do:

L3 = -L3

1 0 -5       |            -2  -1     0

0 1 -7       |            -3  -1      0        

0 0 1       |            4    (4/3) (1/3)

Now, in the third row, we need the elements in the first and second line being zero. So we do:

L1 = L1 + 5L3

L2 = L2 + 7L3

So we have:

1 0 0 |       18  -(17/3)   (5/3)

0 1 0 |       25  (25/3)  (7/3)

0 0 1 |       4    (4/3)     (1/3)

So the inverse matrix is:

18  -(17/3)   (5/3)

25  (25/3)  (7/3)

4    (4/3)     (1/3)

4 0
3 years ago
What is (x+2)(x+5) in polynomial standard form
Harlamova29_29 [7]

Answer:

=x^2+7x+10

Step-by-step explanation:

Simplify: xx+5x+2x+2.5: x+7x+10

Add similar elements: 5x+2x= 7x

=xx+7x+2.5

xx=x2

2.5=10

=x+7x+10

Answer: =x^2+7x+10

<em><u>Hope this helps.</u></em>

3 0
3 years ago
Three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer. If the gloves are removed at random without re
balandron [24]

Answer:

4

Step-by-step explanation:

Given that three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer.  The gloves are removed at random without returning any to the drawer.

We have to find the minimum number that must be removed in order to guarantee having a matched pair of gloves

No of different colours = 3 (red, blue, green)

Hence no of gloves that must be removed = 3+1

If 4 gloves are removed, only 3 can be of different colours 1 will have same colour as any one of the three.

So a pair of same colour would be obtained

Answer is 4

8 0
3 years ago
If you have 7 goldfish and 2 drowned and 3 ran away, how many do you have left?
ololo11 [35]
7 fish can’t drown or run away
7 0
3 years ago
Read 2 more answers
WILL AWARD BRAINLIEST <br><br><br> What is the value of a?
Nadya [2.5K]
Answer : C

6 2 over 3 units
7 0
3 years ago
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