An airline estimates that 90% of people booked on their flight actually show up. If the airline books 71 people on a flight for which the maximum number is 69, what is the probability that the number for people who show up will exceed the capacity of the plane?

Given:

The piecewise function.

Required:

What is a real-world example where a piecewise function might be used?"

Explanation:

A piecewise-defined function is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain.

The example is:

Something like "buy 5, and get each one after that at half price" say at a grocery store or clothing store. For example, let C(x) be the cost of the item for the consumer and p(x) be the price (assume it is constant.)

Answer:

Completed the answer.

The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

For more such questions on decimal,click on

https://brainly.com/question/28393353

#SPJ8

The required turtle's speed is 12/5 miles per hour, as of the given condition.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
To find the turtle's speed in miles per hour, we need to convert the fraction of miles traveled in a fraction of an hour to miles per hour.

First, we can simplify the fraction 3/5 by dividing the numerator and denominator by 1/4,

speed = distance/time

Substitute the value in the above expression,
Speed = 3/5 / [1/4]
Speed = 12/5

Therefore, the turtle's speed is 12/5 miles per hour.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ9

Answer:

11a − 29b − 50

Step-by-step explanation:

Subtract 7 from − 3

7a − 21b − 10 − 40 + 4a − 8b

Add 7a and 4a

11a - 21b - 10 - 40 - 8b

Subtract 8b from -21b

11a - 29b - 10 - 40

Subtract 40 from -10

11a - 29b - 50

Answer:

11a - 29b - 50

Explanation:

⇒ ‐3 + 7(a – 3b – 1) – 4(10 – a + 2b)

distribute inside parenthesis

⇒ -3 + 7a - 21b - 7 - 40 + 4a - 8b

collect like terms

⇒ 7a + 4a - 21b - 8b - 3 - 7 - 40

add or subtract like terms

⇒ 11a - 29b - 50

Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

Learn more about the sound wave here,

https://brainly.com/question/21995826

#SPJ1

Answer:

y=1

x=2

(2,1)

Step-by-step explanation:

x=2y

2x+5y=9​

2(2y)+5y=9

4y+5y=9

9y=9

y=1

x=2(1)

x=2

(2,1)

Answer:

Step-by-step explanation:

1) 3w+6=2w        

2) 6=2w-3w       Subtract 3w from both sides

3) 6=-1w             Divide both sides by negative one (to get rid of the negative and so that the variable, w, is by itself)

4) -6=w               Simplify

The decimal representation of the given sequence is 4,063.21.

The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.

Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.

Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.

Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.

Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.

For more such questions on decimal

https://brainly.com/question/28393353

#SPJ8

Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

36+12=48

36÷48×100=75

answer=75%

Answer:

= 9

Step-by-step explanation:

1/2 (12) +3 = 9

Hope this helps!

The area not covered by the white board is 192 cm².We can find by using area of rectangular formula.

A rectangle is a quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence it is also called quadrilateral. Since the opposite sides are equal and parallel in rectangle.

The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle.The formula for the Area of a Rectangle is A = l × b. The area of any rectangle is calculated once its length and width are known.

Now we find

A white rectangular board 28 cm long and 16 cm wide.

Substitute the respective values

Area of White Board = 28 *16

The area of white board is 448 cm²

Wooden board creates a border of 2 cm around it.

Wooden Board dimension = (28 + 2 + 2) cm long and (16 + 2 + 2) cm wide

Wooden Board dimension = 32 cm long and 20 cm wide.

The area of Wooden board = 32*20=640

The area not covered by the white board is

640 cm² - 448 cm² = 192 cm²

The area not covered by the white board is 192 cm².

To learn more about area of rectangle visit;

https://brainly.com/question/20693059

#SPJ1

When Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon, In all he a total of 2 21/40 miles

The number of miles Henry ran is calculated by addition operation

The sum of the miles Henry ran in the morning plus the number of miles he ran in the afternoon gives the what Henry ran in all

The procedure involves addition of tractions and done as follows

= 1 5/8 + 9/10

= 13/8 + 9/10

adding both fractions will result to

= 101/40 miles

= 2 21/40 miles (as a mixed number)

Henry ran a sum of 2 21/40 miles

Learn more about addition of fractions:

https://brainly.com/question/29321903

#SPJ1

The equation of the shifted line is y = x + 2

From the question, we have the following parameters that can be used in our computation:

y = x

Shift left 2 units

To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.

i.e. (x. y) = (x + 2, y)

So, we have the new equation to be y = x + 2

This is the same line as the original equation but shifted 2 units to the left.

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

Statement Problem: How much did it snow in meters if it snowed 200 centimeters in one week during a huge snowstorm in the White Moutain last year?

Solution:

100 centimeters make 1 meter.

Hence, 200 centimeters would be;

The correct answer is 2m.

Answer:

x = 5

Step-by-step explanation:

assuming you mean the slope of the line id undefined and passes through (5, 0 )

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (5, 0 ) with x- coordinate 5 , then

x = 5 ← equation of line

Answer:

107.16

Step-by-step explanation:

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

learn more about sine rule from

https://brainly.com/question/27174058

#SPJ1

the total number of student is 100

the suspended student is 14

let coach suspended x % student that is equal to 14

then

so coach suspended 14% student.

the value of x will give you the total number of student,

Answer:

inc: -inf, 1

dec: 1, -inf

let me know if im wrong!!!

Answer: w = 71

Step-by-step explanation:

We can divide both sides by 3 to get:

w-52 = 57/3

Further simplifying, we get:

w-52 = 19

Adding both sides by 52, we get:

w = 71

From the box-and-whisker plot, we have that:

a) City B had more noon temperatures above 76ºF.

b) City A had the largest IQR.

c) City B had the larger median temperature.

d) City A had the highest noon temperature.

For City A, the measures are given as follows:

Hence the interquartile range of temperatures is of:

75 - 67 = 8ºF.

For City B, the measures are given as follows:

Hence the interquartile range of temperatures is of:

80 - 73 = 7ºF.

More can be learned about box-and-whisker plots at https://brainly.com/question/3473797

#SPJ1

Answer:

3

Step-by-step explanation:

ye

Answer:

31x+21

Step-by-step explanation:

7x+3(8x+7)

7x+24x+21

31x+21

Answer 31x + 21

Step-by-step explanation: can’t

here.

Step-by-step explanation:

The hospital needs to employ 21 nurses, 7 for each shift.

So, there are 3 shifts in a day and 7 nurses are needed for each shift.

Then,

Therefore, 21 nurses are needed, 7 for each shift.

Know more about permutations and combinations here:

https://brainly.com/question/4658834

#SPJ1

The complete question is given below:
During each shift, there are 7 nurses needed at each ward. If there are three shifts in a day, each nurse only can be on duty for one shift each day. How many more nurses does the hospital need to employ?

Answer:

-6 degrees per hour

Step-by-step explanation:

divide -36 by 6(the number of hours) and get -6

Answer:

6 degrees

Step-by-step explanation:

it changed 6 degrees every hour

The area of the shaded portion of the composite figure could be easily 25*25 - 1/2*13*10 that is 625 - 65 = 560 feet

When referring to a two-dimensional space or points, in mathematics, the term "area" is used. It refers to a region's or a flat object's size, such a square or rectangle. The area of a form is determined in geometry by dividing the length by the breadth. For example, the area of a square with a side length of 4 units is 4 x 4 = 16 square units. Square units, such as square inches, square feet, or square meters, are used to measure area. Triangles (1/2 x base x height), circles ( x radius squared), and trapezoids (1/2 x (base 1 + base 2) x height) are other basic geometric forms with associated area calculations.

To learn more about area, visit:

https://brainly.com/question/27683633

#SPJ1