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2 years ago

Brainliest!!!

1 answer:

3 0

There are 26 red cards and 26 black cards in a standard deck.

So, the probability of selecting a red card is 1/2.

There are 2 black queen in a standard deck : the queen of spades and the queen of clubs.

So, the probability of selecting a black queen is 2/52, or 1/26.

There are 4 of the 4 cards in a standard deck : 4 of spades, 4 of clubs, 4 of diamonds and 4 of hearts.

And, there are 12 face cards : jack, queen, king, each has spades, clubs, diamonds and hearts.

So, the probability of selecting a 4 or a face card is 16/52, or 4/13.

The probability of them all happening at the same time is : 4/13 x 1/26 x 1/2 = 4/676, or 1/169.

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Step-by-step explanation:

2.85-2.79 is 0.06

0.06/2.85 X 100 is 2.1% decrease

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4 years ago

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3 years ago

Pls help with math thank you

scoundrel [369]

Answer:

Dvds cost 12 games cost 19.

Step-by-step explanation:

Put the amount of dvds and video games into an equation and assign variables.

3x+2y=74

5x+2y=98

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3 years ago

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Here is 3 & 4 I NEED DONE ASAP!

Marrrta [24]

Given matrices are from here

brainly.com/question/18267865

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Problem 3

B - C = DNE

We cannot subtract matrices of different sizes. Matrix B is 2x2 while C is 3x2. Both matrices must have the same number of rows, and they must also have the same number of columns. The matrices don't have to be square.

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$A+B = \begin{bmatrix}-5 & 6\\7 & 4\end{bmatrix}$

You add the corresponding elements. For instance, in the top left corner we have -1+(-4) = -5. The other entries are treated in a similar manner.

------------------------------

$-2E = \begin{bmatrix}6 & -4 & 8\\-12 & 14 & -16\\-10 & -18 & 20\end{bmatrix}$

You get this from multiplying each entry in matrix E by -2. Eg: top left corner has -2*(-3) = 6

------------------------------

$CD = \begin{bmatrix}4 & 7 & 8\\ 1 & 3 & 4\\14 & 17 & 16\end{bmatrix}$

Matrix C has 3 rows and D has 3 columns. The final answer will be size 3x3

To generate each value in the answer matrix, you'll highlight rows of C to pair with columns of D. Then you'll multiply out the corresponding values, after which you add those products. This is done for every entry in the answer shown above.

For example, the first row of C is highlighted and the second column of D is highlighted. Those values pair up and multiply getting -1*(-1) + 2*3 = 1+6 = 7, which goes in the first row and second column of the answer matrix. The other entries are handled in a similar fashion.

------------------------------

$\det(B) = -46$

The 2x2 matrix determinant formula is $\begin{vmatrix}a & b\\c & d\end{vmatrix} = a*d - b*c$

In this case, a = -4, b = 6, c = 5, d = 4.

------------------------------

$B^{-1} = \begin{bmatrix}-2/23 & 3/23\\ 5/46 & 2/23\end{bmatrix}$

Swap the top left and bottom right corners of matrix B. Change the sign of the other two corner values. Then multiply each entry by 1/d where d is the determinant found back in part (e) above. Be sure to reduce any fraction as much as possible.

=====================================================

Problem 4

Answers: x = 2 and y = -10

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Work Shown:

$\begin{bmatrix}2x & 4\\-5 & -2\end{bmatrix}+\begin{bmatrix}3 & -7\\11 & y-1\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\\begin{bmatrix}2x+3 & 4+(-7)\\-5+11 & -2+(y-1)\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\\begin{bmatrix}2x+3 & -3\\6 & y-3\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\$

In the top left corners of each matrix, in line 3, we have 2x+3 = 7 which solves to...

2x+3 = 7

2x = 7-3

2x = 4

x = 4/2

x = 2

In the bottom right corners, we have y-3 = -13 which solves to....

y-3 = -13

y = -13+3

y = -10

4 0

4 years ago