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3 years ago

5

What is the proof the outcome (not A)?

2 answers:

GuDViN [60]3 years ago

7 0

Answer:

○B. 0.5 is the proof the outcome (not A).

kolezko [41]3 years ago

3 0

9514 1404 393

Answer:

B

Step-by-step explanation:

If the probability of event "A" is 'p', then the probability of the event "not A" is

P(not A) = 1 - P(A) = 1 - p

For p=0.5, this is ...

P(not A) = 1 -0.5 = 0.5 . . . . . matches choice B

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1. Solve the following simultaneous equations using the matrix method.

dmitriy555 [2]

(i) Use the formula for the determinant of a 2×2 matrix.

$\begin{vmatrix}a&b\\c&d\end{vmatrix} = ad-bc$

$\implies \det(A) = \begin{vmatrix}4 & -3 \\ 2 & 5\end{vmatrix} = 4\times5 - (-3)\times2 = \boxed{26}$

(ii) The adjugate matrix is the transpose of the cofactor matrix of A. (These days, the "adjoint" of a matrix X is more commonly used to refer to the conjugate transpose of X, which is not the same.)

The cofactor of the (i, j)-th entry of A is the determinant of the matrix you get after deleting the i-th row and j-th column of A, multiplied by $(-1)^{i+j}$ . If C is the cofactor matrix of A, then

$C = \begin{pmatrix}5&-2\\3&4\end{pmatrix}$

Then the adjugate of A is the transpose of C,

$\mathrm{adj}(A) = C^\top = \boxed{\begin{pmatrix}5&3\\-2&4\end{pmatrix}}$

(iii) The inverse of A is equal to 1/det(A) times the adjugate:

$A^{-1} = \dfrac1{\det(A)} \mathrm{adj}(A) = \boxed{\begin{pmatrix}\frac5{26}&\frac3{26}\\\\-\frac1{13}&\frac2{13}\end{pmatrix}}$

(iv) The system of equations translates to the matrix equation

$A\begin{pmatrix}x\\y\end{pmatrix}=\begin{pmatrix}6\\16\end{pmatrix}$

Multiplying both sides on the left by the inverse of A gives

$A^{-1}\left(A\begin{pmatrix}x\\y\end{pmatrix}\right)=A^{-1} \begin{pmatrix}6\\16\end{pmatrix}$

$\left(A^{-1}A\right)\begin{pmatrix}x\\y\end{pmatrix}=A^{-1} \begin{pmatrix}6\\16\end{pmatrix}$

$\begin{pmatrix}x\\y\end{pmatrix}=\begin{pmatrix}\frac5{26}&\frac3{26}\\\\-\frac1{13}&\frac2{13}\end{pmatrix} \begin{pmatrix}6\\16\end{pmatrix}$

$\begin{pmatrix}x\\y\end{pmatrix}=\boxed{\begin{pmatrix}3\\2\end{pmatrix}}$

4 0

2 years ago

Enter the value for x that makes the equation 1/2 (4x-8) + 3x= 36 true

Sav [38]

Answer:

8

Step-by-step explanation:

6 0

3 years ago

What must be true if <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D" id="TexFormula1" title="\frac{x}{y}" alt="\frac{x}

Nesterboy [21]

Answer:

4th option is correct

Step-by-step explanation:

6 0

3 years ago

-6.2 - 12.6x = 5.8 - 7.8x

Sav [38]

Answer:

x = -2.5

Step-by-step explanation:

Step 1: Write equation

-6.2 - 12.6x = 5.8 - 7.8x

Step 2: Solve for <em>x</em>

<u>Add 12.6x on both sides:</u> -6.2 = 5.8 + 4.8x

<u>Subtract 5.8 on both sides:</u> -12 = 4.8x

<u>Divide both sides by 4.8:</u> x = -2.5

Step 3: Check

<em>Plug in x to verify if it's a solution.</em>

-6.2 - 12.6(-2.5) = 5.8 - 7.8(-2.5)

-6.2 + 31.5 = 5.8 + 19.5

25.3 = 25.3

7 0

3 years ago

Apple Street<br> Peach Street<br> Cherry Street<br> If mZ1 = 2x + 36 and m2 = 7x -9, what is mZ1?

Gnoma [55]

Answer:

MZ1 is 18

Step-by-step explanation:

2x+36

36 is being timesd by 2 so we undo it

36/2x

then u have ur answer of 18

Hope this helps! Pls consider marking me as <u>Brainliest</u>

4 0

3 years ago