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kodGreya [7K]
4 years ago
8

A menu has 9 options, chicken, steak, fish, broccoli, spinach, two types of carrots and two breads, what is the complement of or

dering bread
Mathematics
1 answer:
Juliette [100K]4 years ago
4 0

there are 9 options in the menu, thus the sample space is 9, there are two bread types from all 9 options, thus the favorable outcomes is 2.


the probably of ordering bread then is 2/9.


it's complement, namely the probability of not ordering bread, is just 1 - 2/9, namely 7/9, or about 0.78 or about 78%.

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a five-card hand is dealt at random from a standard deck. What is the probability that the hand contains exactly two black cards
mestny [16]

Using the principle of binomial probability, the probability of having exactly two black cards is 0.3125

  • <em>Probability</em><em> </em><em>of</em><em> </em><em>having</em><em> </em><em>a</em><em> </em><em>black</em><em> </em><em>card</em><em> </em><em>=</em><em> </em><em>26</em><em>/</em><em>52</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em>

<u>Using the binomial probability relation</u> :

  • P(x = x) = nCx * p^x * q^(n-x)
  • <em>p</em><em> </em><em>=</em><em> </em><em>probability</em><em> </em><em>of</em><em> </em><em>success</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em>
  • <em>Number of</em><em> </em><em>picks</em><em>,</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>5</em>
  • <em>q</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>-</em><em> </em><em>p</em><em> </em><em>=</em><em> </em><em>0.5</em><em> </em>
  • <em>x</em><em> </em><em>=</em><em> </em><em>2</em><em> </em>

Hence,

P(x = 2) = 5C2 × 0.5² × 0.5³

P(x = 2) = 10 × 0.25 × 0.125

P(x = 2) = 0.3125

Hence. Probability of having exactly 2 black cards is 0.3125

Learn more : brainly.com/question/12474772

6 0
2 years ago
Over 6 months, Fiona used her online banking account to pay a total of $274.50 for her cell phone services. Her cell phone servi
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45.75

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you divided 274.50 by 6 and get the answer

4 0
3 years ago
Question below
Ksivusya [100]

Answer:

m \times H=\left[\begin{array}{c c c}\boxed{-9} & \boxed{36} & \boxed{-\dfrac{9}{2}}\end{array}\right]

Step-by-step explanation:

<u>Calculate the value of m</u>

Given:

3\left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]=\dfrac{2}{3}m \times \left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]

Therefore:

\implies 3=\dfrac{2}{3}m

\implies m=3 \times \dfrac{3}{2}

\implies m=\dfrac{9}{2}

<u>Calculate the value of H</u>

Given:

\left(H+ \left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]\right)+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]=\left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]+\left(\left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]\right)

Therefore:

\implies H= \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]

<u />

<u>Calculating m × H</u>

<u />

<u />\implies m \times H=\dfrac{9}{2} \times \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]

<u />\implies m \times H=\left[\begin{array}{c c c}\dfrac{9}{2}(-2) & \dfrac{9}{2}(8) & \dfrac{9}{2}(-1)\end{array}\right]

\implies m \times H=\left[\begin{array}{c c c}-9 & 36 & -\dfrac{9}{2}\end{array}\right]<u />

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Step-by-step explanation:

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