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AURORKA [14]
2 years ago
11

A plane has 360 total seats which are divided into economy class and business class for every 13 seats in economy class there ar

e five seats in business class how many seats are there in each class
Mathematics
1 answer:
Marta_Voda [28]2 years ago
8 0

Answer:

There are 260 seats in economy class and 100 seats in business class

Step-by-step explanation:

To solve this problem we first have to calculate the fraction of economic and business seats with respect to the total

We are told that every 13 seats in economy class there are 5 seats in business class

13 + 5 = 18

This means that if there are 18 seats 13 will be economic and 5 business

economic seats = 13/18

business seats = 5/18

To find out the number of seats in the airplane of each class, we have to multiply the total number of seats by these fractions

economic seats = 360 * 13/18

economic seats = 260

business seats = 360 * 5/18

business seats = 100

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Answer:

The experimental probability of throwing a five is 0.087.

Step-by-step explanation:

Given:

Number of trials (n) = 100

Number of times 5 appears (x) = 14

Let the event of occurrence of 5 be success and the probability represented by 'p'. So, all the other numbers occurrence is failure and its probability is represented as 'q'.

Probability of success is given as:

p=\frac{Number\ of\ favorable\ events}{Total\ number\ of\ outcomes}

Favorable event is occurrence of 5. So, its number is 1 as there is only one 5 in the die. Total outcomes are 6 as there are six numbers. So,

p=\frac{1}{6}

Now, probability of failure is given by the formula:

q=1-p=1-\frac{1}{6}=\frac{5}{6}

Now in order to find the experimental probability of 14 successes out of 100 trials, we apply Bernoulli's theorem which is given as:

P(x) = ^nC_xp^xq^{n-x}

Plug in all the given values and find the probability of 14 successes. This gives,

P(x=14)=^{100}C_{14}(\frac{1}{6})^{14}(\frac{5}{6})^{100-14}\\\\P(x=14)=0.087

Therefore, the experimental probability of throwing a five is 0.087.

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3 years ago
At winds speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 100
alisha [4.7K]

Answer:

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Step-by-step explanation:

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<em>To</em><em> </em><em>Solve</em><em> </em><em>This</em><em> </em><em>You</em><em> </em><em>Will</em><em> </em><em>Need</em><em> </em><em>To</em><em>;</em>

<em>1</em><em>]</em><em> </em><em>The</em><em> </em><em>sign</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>product</em><em> </em><em>of</em><em> </em><em>-</em><em>3</em><em>5</em><em> </em><em>and </em><em>-</em><em>6</em><em>2</em><em>5</em><em> </em><em>is</em><em>;</em>

<em>It's</em><em> </em><em>going </em><em>to</em><em> </em><em>be</em><em>;</em>

<em>-</em><em>3</em><em>5</em><em>-</em><em>-</em><em>6</em><em>2</em><em>5</em>

<em>The</em><em> </em><em>negative</em><em> </em><em>sign</em><em> </em><em>will</em><em> </em><em>turn</em><em> </em><em>into </em><em>addition </em><em>sign</em><em> </em><em>before </em><em>you </em><em>can </em><em>operate</em><em> </em><em>it</em><em>.</em><em> </em><em>So </em><em>it</em><em>'s</em><em> </em><em>going</em><em> </em><em>to </em><em>be</em><em>;</em>

<em>-</em><em>3</em><em>5</em><em>+</em><em>6</em><em>2</em><em>5</em><em>=</em><em>5</em><em>9</em><em>0</em><em>(</em><em>positive</em><em>)</em>

<em>It's</em><em> </em><em>just</em><em> </em><em>like</em><em> </em><em>subtracting </em><em>3</em><em>5</em><em> </em><em>from</em><em> </em><em>6</em><em>2</em><em>5</em><em>.</em>

<em>2</em><em>]</em><em> </em><em>The </em><em>sign</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>product</em><em> </em><em>of </em><em>2</em><em>6</em><em>3</em><em> </em><em>and</em><em> </em><em>0</em><em> </em><em>is</em><em>;</em>

<em>2</em><em>6</em><em>3</em><em>-</em><em>0</em>

<em>With </em><em>this</em><em> </em><em>no</em><em> </em><em>qua</em><em>n</em><em>t</em><em>i</em><em>t</em><em>y</em><em> </em><em>is</em><em> </em><em>going</em><em> </em><em>to</em><em> </em><em>be</em><em> </em><em>subtracted </em><em>so</em><em> </em><em>the</em><em> </em><em>2</em><em>6</em><em>3</em><em> </em><em>will</em><em> </em><em>remain</em><em> </em><em>the</em><em> </em><em>same</em><em>.</em><em> </em>

<em>So</em><em> </em><em>2</em><em>6</em><em>3</em><em>-</em><em>0</em><em>=</em><em>2</em><em>6</em><em>3</em><em>(</em><em>positive</em><em>)</em>

<em>3</em><em>]</em><em> </em><em>The</em><em> </em><em>sign</em><em> </em><em>of </em><em>the</em><em> </em><em>product</em><em> </em><em>of</em><em> </em><em>-</em><em>2</em><em>1</em><em> </em><em>and</em><em> </em><em>4</em><em>5</em><em>1</em><em> </em><em>is</em><em>;</em>

<em>-</em><em>2</em><em>1</em><em>-</em><em>4</em><em>5</em><em>1</em>

<em>With </em><em>this</em><em> </em><em>you </em><em>won't</em><em> </em><em>subtract</em><em> </em><em>but</em><em> </em><em>rather</em><em> </em><em>you'll</em><em> </em><em>add</em><em> </em><em>and</em><em> </em><em>when</em><em> </em><em>you</em><em> </em><em>add</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>going </em><em>to</em><em> </em><em>be</em><em> </em><em>-</em><em>4</em><em>7</em><em>2</em>

<em>-</em><em>4</em><em>7</em><em>2</em><em>(</em><em>negative</em><em>)</em>

<em>4</em><em>]</em><em> </em><em>The</em><em> </em><em>sign </em><em>of</em><em> </em><em>the</em><em> </em><em>product </em><em>of</em><em> </em><em>-</em><em>3</em><em>5</em><em>0</em><em> </em><em>and</em><em> </em><em>8</em><em>9</em><em> </em><em>is</em><em>;</em>

<em>-</em><em>3</em><em>5</em><em>0</em><em>-</em><em>8</em><em>9</em>

<em>With </em><em>this</em><em> </em><em>you</em><em> </em><em>will</em><em> </em><em>add</em><em> </em><em>it</em><em> </em><em>but</em><em> </em><em>you </em><em>won't</em><em> </em><em>subtract</em><em> </em><em>the</em><em> </em><em>negatives </em><em>so</em><em> </em><em>it's</em><em> </em><em>going</em><em> </em><em>to </em><em>be</em><em>;</em>

<em>-</em><em>3</em><em>5</em><em>0</em><em>-</em><em>8</em><em>9</em><em>=</em><em>-</em><em>4</em><em>3</em><em>9</em><em>(</em><em>negative</em><em>)</em>

<em>Hope </em><em>I</em><em> </em><em>am</em><em> </em><em>Correct </em><em>I</em><em> </em><em>didn't</em><em> </em><em>really</em><em> </em><em>understand</em><em> </em><em>your</em><em> </em><em>question</em><em> </em><em>well</em><em>.</em><em> </em><em>But</em><em> </em><em>Good</em><em> </em><em>Luck</em><em>:</em><em>)</em>

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3 years ago
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