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3 years ago

8

A number cube is rolled two times. What is the probability that the sum of two numbers will be 9?

1 answer:

harina [27]3 years ago

6 0

Total number of possible outcomes = 36
Total number of outcomes with sum 9 = 4
{3, 6} (4, 5) {5, 4} (6, 3}

P(Sum = 9) = 4/36 = 1/9

Answer: 1/9

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If a = {6 6 4 7 -4 4 -6 9 -3} and B= {1 5 -8 9 -5 -8 9 -5 2}, find 3a +9B Matrix operations

V125BC [204]

Answer:

$3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}$

Step-by-step explanation

$A=\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix}\: and \: B=\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}$

$\rightarrow 3A=3\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix},\: \: 9B =9\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}$

$\rightarrow 3A=\begin{bmatrix} 3*6 & 3*6 & 3*4\\\\3*7 & 3(-4) & 3*4\\\\ 3(-6) & 3*9 & 3(-3)\end{bmatrix},\:\: 9B =\begin{bmatrix}9*1 &9* 5 &9( -8)\\\\ 9*9 & 9(-5) & 9(-8)\\\\ 9*9 & 9(-5) & 9*2\end{bmatrix}$

$\rightarrow 3A=\begin{bmatrix} 18 & 18 & 12 \\\\ 21 & -12 & 12\\\\ -18 & 27 & -9\end{bmatrix},\:\: 9B =\begin{bmatrix} 9 & 45 & -72 \\\\ 81 & -45 & -72\\\\ 81 & -45 & 18\end{bmatrix}$

$\rightarrow 3A+9B=\begin{bmatrix}18+9 & 18+45 & 12+(-72) \\\\ 21+81 & -12 +(-45) & 12+(-72)\\\\ -18+81 & 27+(-45) & -9+18 \end{bmatrix}$

$\rightarrow 3A+9B=\begin{bmatrix} 18+9 & 18+45 & 12-72 \\\\ 21+81 & -12 -45 & 12-72\\\\ -18+81 & 27-45 & -9+18 \end{bmatrix}$

$\rightarrow \purple{\bold{3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}}}$

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2 years ago

Where did the Industrial Revolution begin?

garri49 [273]

Answer:

england

Step-by-step explanation:

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2 years ago

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Solve for u, z, y, or t.<br>

jekas [21]

Doubt --!!

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2 years ago

Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t

liq [111]

Answer:

John received 10% of the overall votes.

Step-by-step explanation:

Let us assume that the number of votes John got = m

So, the number of votes Vivienne received = 3 times (John's share )

= 3 times m = 3 m

Also, The number of Votes Nassim received = 2 times ( Vivienne's share)

2 x (3 m) = 6 m

Total Votes in the grade 6

= Votes received by { John + Vivienne + Nassim}

= m + (3 m) + (6 m) = 10 m

Hence, the total number of students who voted in grade 6 = 10 m

$\textrm{The percentage of John's Votes } = \frac{\textrm{Number of votes John received}}{\textrm{Total number of votes }} \times 100$

= $\frac{m}{10m} \times 100 = 10$

or, The percentage of John's Votes = 10%

Hence, John received 10% of the overall votes.

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3 years ago

Helpp!! Thank you! Take care!!

alina1380 [7]

Answer:

B or $12.50

Step-by-step explanation:

To get the answer, you have to solve x from the equation 4.5x = 56.25

To solve, you have to divide 4.5 from each side, making the equation look like,

x = 12.5

Hope this helps!!

Plz let me know if I'm wrong...

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2 years ago

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