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koban [17]
3 years ago
14

An airline knows that on average about 5 percent of the people who make reservations on a certain flight will not show up. Conse

quently, their policy is to sell 52 tickets for a flight that can hold only 50 passengers. What is the probability that there will be a seat available for every passenger who shows up?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

Probability that there will be a seat available for every passenger who shows up is 50/50 or 49/50

Step-by-step explanation:

Since it is known that 5percent of people who make reservations would not show up.

Therefore 5% of 52 sold ticket is

5/100 x 52 = 2.6

That is 2 or 3 people who make reservations would not show up.

Which means 52 - 2 or 52 - 3 people would show up

50 or 49 people would show up

Since the flight can hold just 50 people

The probability that everyone that shows up would have a seat is therefore =

50/ 50 or 49/50

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Step-by-step explanation:

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Let g(x) = f(x+3) for some function f(x). Is g(x) a function? From the previous problem, let the domain of f(x) be [1, 4). What
padilas [110]

The domain of g(x) is [4, 7)

<h3>How to determine the domain of g(x)?</h3>

The function is given as:

g(x) = f(x + 3)

Since f(x) is a function, then g(x) is also a function

The domain of f(x) is given as:

[1, 4)

The equivalent of these values in g(x) are

x = 1 + 3 = 4

x = 4 + 3 = 7

Hence, the domain of g(x) is [4, 7)

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2 years ago
The sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle? 42º 56º 124º 304º
Mekhanik [1.2K]

A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.

<h3>What is heptagon?</h3>

A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."

A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,

\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o

As it is said in the problem that the sum of the all the angles of the heptagon  except one is 776°, therefore, the measure of the last angle of the heptagon is,

The measure of the last angle = 900° - 776° = 124°

Hence, the measure of the final interior angle of the heptagon is 124°.

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vampirchik [111]

Solution, solve\:for\:x,\:x+5=121\quad :\quad x=116

Steps:

x+5=121

\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides},\\x+5-5=121-5

\mathrm{Simplify},\\x=116

\mathrm{The\:Correct\:Answer\:is\:x=116}

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Answer:

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0.16*64.25+64.25

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