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olga55 [171]
3 years ago
14

When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the sum is a multiple of 3 or great

er than 6.

Mathematics
2 answers:
wlad13 [49]3 years ago
8 0

Answer:

  7/9

Step-by-step explanation:

All but 8 of the 36 outcomes are a multiple of 3 or greater than 6. The probability is ...

  p(x mod 3 = 0 | x > 6) = 28/36 = 7/9

aleksandr82 [10.1K]3 years ago
5 0

The answer is 9 it’s a multiple of 3 and is also greater than 6

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Identify the x-intercepts of the function below f(x)=x^2+12x+24
damaskus [11]

<u>ANSWER:  </u>

x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

<u>SOLUTION:</u>

Given, f(x)=x^{2}+12 x+24 -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here, for (1) a = 1, b= 12 and c = 24

X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}

\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}

Hence the x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

8 0
3 years ago
The quotient of three and the quantity of three less than one-sixth of a number x?
UkoKoshka [18]
\frac{3}{\frac{x}{6}-3}=\frac{3}{\frac{x-18}{6}}=3*\frac{6}{x-18}=\frac{18}{x-18}
Good, right?
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3 years ago
Can anyone help me with this question ?
TEA [102]

Answer:

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Step-by-step explanation:

18 (<u> d </u> - 9 ) = 198

     3

divide both side by 18

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3             18

<u> d </u> - 9 = 11

3

multiply both sides by 3

d - 27 = 33

add 27 to both sides

d = 33 + 27

lastly, add them together

d = 60

therefore, the last step is addition

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In making a keychain,Sara uses a pattern of beads 3 times. After the key chain is complete, what fraction of the beads in the ke
nikdorinn [45]
1/2 of the beads will be blue, and 1/2 of them would be red Hope this helped!
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The answer of this question is B
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