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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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Line segment AB has endpoints A(1, 2) and B(5, 3). Find the coordinates of the point that divides the line segment directed from
ikadub [295]

Now despite what you may think, <u>1:3 is not 1/3 in this situation,</u> but rather it's "1 equal part to 3 equal parts", which is a total of 4 equal parts. <u>In short, they want the point that is at the 1/4 mark from A to B.</u>

Firstly, how many units apart is 1 to 5 (the x-coordinates)? That would be 4 units apart. Multiply 1/4 by 4:

\frac{1}{4}\times \frac{4}{1}=\frac{4}{4}=1

Next, how many units apart is 2 to 3 (the y-coordinates)? That would be 1 unit apart. Multiply 1/4 by 1:

\frac{1}{4}\times \frac{1}{1}=\frac{1}{4}

Next, since from 1 to 5 you are <u>increasing</u>, add 1 to 1.

1+1=2

2 is the x-coordinate of the new point.

Next, since from 2 to 3 you are <u>increasing</u>, add 1/4 to 2.

2+\frac{1}{4}=2\frac{1}{4}=\frac{9}{4}

9/4 is the y-coordinate of the new point.

<u>Putting it together, the point which divides AB into a 1:3 ratio is (2, 9/4), or D.</u>

4 0
3 years ago
A city doubles its size every 12 years. If the population is currently 500,000, what will the population be in 24 years?
vesna_86 [32]
2,000,000 because 24/12 is 2 so you double it twice
7 0
2 years ago
Read 2 more answers
Which equation represents the line that is perpendicular to and passes through (-40,20)?
emmasim [6.3K]

The equation of the perpendicular line to the given line is: y = -5/4x - 30.

<h3>What is the Equation of Perpendicular Lines?</h3>

The slope values of two perpendicular lines are negative reciprocal of each other.

Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.

Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.

Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:

20 = -5/4(-40) + b

20 = 50 + b

20 - 50 = b

b = -30

Substitute m = -5/4 and b = -30 into y = mx + b:

y = -5/4x - 30

The equation of the perpendicular line is: y = -5/4x - 30.

Learn more about about equation of perpendicular lines on:

brainly.com/question/7098341

#SPJ1

8 0
1 year ago
What’s are the answers for both?
nevsk [136]

Answer:

<h2>d = 8</h2><h2>g = 2</h2>

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

\frac{7(7g + 8)}{4}  = 38.5

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

5 0
3 years ago
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
MAXImum [283]

Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

  • vertical scaling by a factor of 'a'
  • left shift by k units
  • up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

  • k = 3
  • c = -4

The graph says the value of c is less than zero.

__

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

8 0
1 year ago
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