The probability that the number of people who show up will exceed the capacity of the plane is 0.002607722
What is the required probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
The probability that x people show up follows a binomial distribution,
[tex]P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}[/tex]
Here, n represents the number of booked people and p represents the probability that a person shows up.
Then, the probability that x people show up is:
[tex]P(x)=\frac{78!}{x!(78-x)!}*0.90^{x}*(1-0.90)^{78-x}[/tex]
So, the probability that the number of people who show up will exceed the capacity of the plane is:
P(x>76) = P(77) + P(78)
Where P(77) and P(78) are calculated as follows:
[tex]P(77)=\frac{78!}{77!(78-77)!}* 0.90^{77}* (1-0.90)^{78-77} \\ =78*0.00029969*0.10\\ =0.0023375[/tex]
[tex]P(78)=\frac{78!}{78!(78-78)!}* 0.90^{78}* (1-0.90)^{78-78} \\ =1*0.00026972*1\\ =0.00026972[/tex]
Finally, P(x>76) is:
[tex]P(x > 76) = 0.0023375 + 0.00026972\\=0.002607722[/tex]
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ4
A tourist in France wants to visit 12 different cities. How many different routes are possible?
A. 39,916,800
B. 144
C. 479,001,600
D. 12
The different routes are 479,001,600
How to determine the number of routes?The number of cities is given as:
n = 12
The cities are different.
So, the number of routes is:
Routes = 12!
Expand
Routes =12 * 11 * 10 * 9 * ..... * 1
Evaluate
Routes =479,001,600
Hence, the different routes are 479,001,600
Read more about combination at:
https://brainly.com/question/11732255
#SPJ1
Cooper weighs 20 pounds. when he is an adult dog, he will weigh about 350% as much as his current weight. how much will cooper weigh as an adult dog. show each step of your solution.
The cooper's weight as an adult dog will be 90 pounds.
What is percentage?Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.
A typical method for calculating a percentage is the formula shown below:
Determine the total amount of what you want to find a percentage. Divide the number to determine the percentage. Multiply the value by 100.Calculation for the weight of Cooper as an adult;
Cooper's present weight is 20 pounds.
He will weigh about 350% as much as his current weight.
Calculate 350% of 20 pounds.
= (350×20)/100
= 70
The increment of the weight of Cooper will be 70 pounds.
Thus, the total weight is 20 + 70 = 90.
Therefore, the weight of Cooper after 350% as an adult would be 90 pounds.
To know more about the percent change, here
https://brainly.com/question/809966
#SPJ4
A jar contains 18 jelly beans: 7 purple jelly beans, 3 green jelly beans, and 8 orange jelly beans. Without looking. Travis picks 1 jelly bean from the jar. What is the probability of each of the following outcomes? [ P(green) - 2 P(purple) 3 P(orange) - 4 P(not green) 5. P(purple or green) 6. P(not orange)
Answer:
1/6, 7/18, 4/9, 5/6, 5/9, 5/9
Step-by-step explanation:
PLEASE ANSWER ASAP TO WHOEVER ANSWERS FIRST WITH STEP BY STEP EXPLANATION WILL BE MARKED AS BRAINLIEST!!!<33
Answer:
Hope it helps you..............
that is my I hope it helps you
Area=
Help me please. Stuck on this question thanks
Answer: 252
Step-by-step explanation:
base times height
Answer is :
Step-by-step explanation:
Length ( L ) = 12 m
Breadth ( B ) = 21 m
Area ( A ) = ?
By using formula ,
Area = Length × Breadth
Area = 12 × 21
Area = 252 #
please help I need help ill pick brainlyist
20points
Hello and Good Morning/Afternoon
Let's take this problem step by step:
What the problem wants to find:
⇒ area of a parallelogram
What is the area formula of the parallelogram:
⇒ Area = Base * Height
Let's gather the information necessary:
Base: 12 inHeight: 11 inLet's solve:
⇒ Area = 12 * 11 = 132 in²
Answer: 132 in²
Hope that helps!
#LearnwithBrainly
Answer:
132 inches squared
Step-by-step explanation:
Area is 132 inches squared
Method 1:
Area of parallelogram = base x height = 11inches x 12 inches = 132 inches squared
Method 2:
Move the triangle divided by the dotted line on the right to the left.
It becomes a rectangle of 11 inches by 12 inches. 11 inches x 12 inches = 132 inches squared.
If the factors of a quadratic function are (x 2) and (x − 9), what are the x-intercepts of the function?
The x-intercepts of the given quadratic function are -2 and 9.
What is a quadratic function?
A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.
A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).
Roots of the Quadratic Equation
Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,
(x+2)*(x-9)=0
∴ x+2=0
⇒ x=-2
Similarly,
x-9=0
⇒ x=9
Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.
Learn more about a quadratic function here:
https://brainly.com/question/27958964
#SPJ4
This is my answer i dont know you like it or not
Mark has 580 stamps. Debbie has 720 stamps than Mark. How many stamps must Debbie give to mark so that Mark have 120 more than she?
480 stamps must be given to Mark
Answer: 130 stamps.
Step-by-step explanation:
Let amount оf the stamps Debbie must give to Mark so that Mark have 120 more than she is x.
Hence,
(580+x)-(720-x)=120
580+x-720+x=120
2x-140=120
2x=260
2*x=2*130
x=130.
So, 130 stamps Debbie must give to Mark so that Mark have 120 more than she.
Good luck an' have a nice day!
Ariana bought 153 ounces of flour and she used 21.4 ounces of it to make biscuits. How much is left?
I need this done real quick
How many apples?
Help me please, thanks so much
The number of Apples that were in the given fruit salad is approximately; 2170 Apples.
How to work with ratio questions?We are given the ratio of apples to oranges as;
A:O = 31:11
Now, we are told that there are 2940 apples and oranges in total.
Thus, the fractions of apples and oranges of the total will be;
Apple fraction = 31/(31 + 11) = 31/42
Orange Fraction = 11/42
Thus;
Number of Apples = (31/42) * 2940
Number of Apples = 2170 Apples
Read more about ratios at; https://brainly.com/question/2784798
#SPJ1
PLEASE HELP
A linear function has a slope of Negative StartFraction 7 Over 9 EndFraction and a y-intercept of 3. How does this function compare to the linear function that is represented by the equation y + 11 = Negative StartFraction 7 Over 9 EndFraction (x minus 18)? a It has the same slope and the same y-intercept. b It has the same slope and a different y-intercept. c It has the same y-intercept and a different slope. d It has a different slope and a different y-intercept.
The given function: B. has the same slope and a different y-intercept.
What is the Equation in Slope-intercept Form of a Linear Function?The linear function is expressed in slope-intercept form as, y = mx + b, where b is the y-intercept and m is the slope.
Slope (m) of the first function is: -7/9.
Its y-intercept (b) is: 3.
Given the equation, y + 11 = -7/9x - 18, rewrite in slope-intercept form:
y + 11 = -7/9x - 18
y = -7/9x - 18 - 11
y = -7/9x - 29
The slope (m) is: -7/9
Its y-intercept (b) is: -29
Therefore: B. It has the same slope and a different y-intercept.
Learn more about the equation of a function on:
https://brainly.com/question/1884491
#SPJ1
? Question
Jessica wants to add a border around the edge of the solar panels to help protect them from weather events.
Write the standard form expression that represents the amount of border material Jessica will need.
Enter the correct answer in the box.
√O
(0) 101 dº +
Vo 4
X
11
=
2
TT
a B C 9
HP O
A
sin cos tan sin costan
csc sec cot log log in
Submit
0
||
0
1
a
.
ΣΔΠ Σ
U DO
27 of
.
The standard form expression that represents the amount of border material Jessica will need is 8c² + 24c - 6.
How to compute the expression?Fron the information given, Jessica is using polynomials to represent the dimensions.
The width is 4c² + 5x and the length is 7c - 3. The height is also represented as 2c + 6d.
Here, the standard form expression that represents the amount of border material Jessica will need is 8c² + 24c - 6.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Can someone help me with this problem having trouble
Carson is a salesman at an insurance company. He receives a monthly salary of $1,027.00 and a $185.00 commission on each
policy he sells. If Carson receives his commission check at the end of the month along with his salary check, which of the following
functions can be used to determine his total pay for the month?
(Let x represent the number of policies sold and f(x) represent the total amount of pay for the month.)
Answer: He receives a monthly salary of $1,478.00 and a $249.00 commission on each policy he sells. If Carson receives his commission check at the end of the month ...
Step-by-step explanation:
What is the value of x in the figure shown below?
3.6
A
C
57⁰
80⁰
4.5
4.5
D
3.6
B
Answer: [tex]57^{\circ}[/tex]
Step-by-step explanation:
[tex]\triangle ACB \cong \triangle DBC[/tex], so by CPCTC, [tex]x=57^{\circ}[/tex]
can someone please please help me with this question !!!
Answer: b and d
Step-by-step explanation:
Since the roots are x=2 and x=6, we can write the equation as
[tex]f(x)=a(x-2)(x-6)[/tex]
Substituting in the coordinates of the vertex,
[tex]-4=a(4-2)(4-6)\\\\-4=a(2)(-2)\\\\-4=-4a\\\\a=1[/tex]
So, the equation is [tex]f(x)=(x-2)(x-6)[/tex].
On expanding, we get [tex]f(x)=x^2 - 8x+12[/tex]
Marcia made spiral books to sell at her local craft fair. She forgot to count how many she made before the fair. She knows that she spent $176.80 in supplies to make the books. If each book requires two chipboard covers at a cost of $0.74 per cover and one spiral wire at a cost of $0.60, which equation can be used to find the number of books, n, she made?
A. 0.60n + 0.74n = 176.80
B. 0.60n + 1.48n = 176.80
C. 0.60n + 0.74 = 176.80
D. 0.60n + 1.48 = 176.80
Answer:
B) 0.60n+1.48n = 176.80
Step-by-step explanation:
0.60 for every spiral wire per book = 0.60*n
0.74 per chipboard cover, 2 needed for each book = 1.48 per book = 1.48*n
Put it together: 0.60n+1.48n = 176.80
The following system of equation is given: -7x+7y=7\newline 2x-2y=-18−7x+7y=7
2x−2y=−18
Choose the correct solution for the system.
The given system of equation has no solution.
What is a System of Equation ?The set of equation that have common solution is called the system of equation
The equation given are
- 7x + 7y = 7
2x - 2y = -18
On simplifying the equations
- x + y = 1
x - y = -9
On adding these equations there is no solution
as
[tex]\rm \dfrac {a_1}{a_2 } = \dfrac{b_1} {b_2} \ne \dfrac{c_1}{c_2}[/tex]
The given system of equation has no solution.
To know more about System of Equation
https://brainly.com/question/12895249
#SPJ1
Sylvie finds the solution to the system of equations by graphing.
y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 1. y equals negative StartFraction 2 over 3 EndFraction x minus 1x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?
A coordinate grid with 2 lines. The first line passes through the points (negative 1.7, 1.57), (0, negative 1), and (2, negative 4). The second line passes through the points (negative 1.7, 1.57), (0, 1), and (3, 0).
A coordinate grid with 2 lines. The first line passes through the points (negative 1.02, 0.63), (0, negative 1), and (2, negative 4). The second line passes through the points (negative 1.02, 0.63), (0, 1), and (3, 2).
A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).
The graph that shows the solution to the system of equations is attached below.
How to Find the Solution a System of Linear Equations?The solution to a system of linear equations is the point where the two graphs intersect. The coordinates of that point is the solution.
Given the system as:
y = 2/3x + 1
y = -2/3x - 1
Add both together to eliminate x
2y = 0
y = 0
Substitute y = 0 into y = 2/3x + 1 to find x
0 = 2/3x + 1
-1 = 2/3x
-3 = 2x
-3/2 = x
x = -3/2
The solution is: (-3/2, 0) = (-1.5, 0).
Therefore, the graph that shows the solution will intersect at (-1.5, 0), which is shown in the image attached below.
Learn more about the solution of a system of linear equations on:
https://brainly.com/question/14323743
#SPJ1
Answer:
c
Step-by-step explanation:
way simple
Consider the graph of f(x) given below.
Answer: A
Step-by-step explanation:
The y-intercept of f(x) is 3, so clearly we want a shift 5 units down.
A wheel with radius $1\text{ m}$ is rolled in a straight line through one complete revolution on a flat horizontal surface. How many meters did the center of the wheel travel horizontally from its starting location
The distance traveled by the center is equal to the distance traveled by the wheel 6.28m is traveled by the center.
Given: A wheel with a radius rolled in a straight line through one complete revolution on a flat horizontal surface.
To Find: How many meters did the center of the wheel travel horizontally from its starting location.
Solution:
consider the figure attached.
radius of wheel [tex]=1m[/tex]
Horizontal distance traveled by the wheel in one complete revolution
=circumference of the wheel
[tex]\\=2\pi r\\=2*3.14*1\\=6.28m[/tex]
Hence, the distance traveled by center is equal to the distance traveled by the wheel 6.28m is traveled by the center
Learn more about distance here https://brainly.com/question/15827842
#SPJ4
Jill and Jack are exercising at a beach. They both start from the car park at one end of the beach. Jill runs at a constant speed and Jack walks at a constant speed. When Jill turns at the end of the beach to run back, she notices that Jack is then halfway along the beach. How far along the beach will Jack be when JIll next passes him
Jack is at (2/3) of the length of the beach (measuring from the point where they started).
How far along the beach will Jack be when JIll next passes him?Let's think that the whole beach is like a line track of length L.
We know that when Jill completes reaches the end (one complete run) Jack only completed half of it.
So in the time that jill covers the distance L, Jack covers a distance of L/2. So the ratio of their speeds is 2:1 (Jill's speed is double of Jack's speed).
At this point, Jill is on the end of the track and Jack is on the middle, so the distance between them is L/2.
Because of the ratios between the speeds, we know that when they meet again, Jill will have covered 2 thirds of that distance, and jack will cover the other third of that distance.
A third of that distance is:
(L/2)/3 = L/6
So, when they meet, Jack is at L/6 of the middle of the beach, which means that Jack is:
L/2 + L/6 = 3L/6 + L/6 = 4L/6 = 2L/3
Jack is at (2/3) of the length of the beach (measuring from the point where they started).
If you want to learn more about distances:
https://brainly.com/question/4931057
#SPJ1
What is the value of Lilly’s expression when x=5? Show or explain how you got your answer
Answer:
what is lollies expression. I need to now what the expression is in order to plug 5 in for x.
Step-by-step explanation:
we need the expression first
Triangles A B C and X Y Z is congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C. Triangle A B C is reflected across a line to form triangle X Y Z.
Two rigid transformations are used to map ΔABC to ΔXYZ. The first is a translation of vertex A to vertex X. What is the second transformation?
a reflection across the line containing AB
a reflection across the line containing AC
a rotation about point A
a rotation about point B
The transformation can be defined as the introduction of a new set of mathematical coordinates. The correct option is B.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
As per the given description if the two rigid transformations are used to map ΔABC to ΔXYZ, and the first is a translation of vertex A to vertex X, then the second transformation will be A reflection across the line containing AC.
Hence, the correct option is B.
Learn more about Transformation:
https://brainly.com/question/11709244
#SPJ1
Answer:
A see picture
Step-by-step explanation:
Triangle L N M is cut by a bisector that forms a right angle with the base and splits the base into 2 congruent lengths. The lengths of sides L N and N M are congruent. Angle L N M is (6 x + 1) degrees. Angle N M L is (4 x minus 11) degrees.
What is the measure of ∠NLM?
m∠NLM =
The value of ∠NLM = 29 degree
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
It is given that a Δ LNM is cut by a bisector
The bisector forms a right angle at the base and splits in tnto two congruent lengths
LN = NM
∠LNM = 6x +1
∠NML = 4x -11
∠NLM = ?
∠NLM =∠NML = 4x -11
as 6x +1 is the value of the angle bisector
By the angle sum property
4x -11 +4x -11 + 12x+2 = 180
20x = 200
x = 10
The value of ∠NLM =
4x - 11 = 4 * 10 - 11 = 29 degree
Therefore the value of ∠NLM = 29 degree
To know more about Triangle
https://brainly.com/question/2773823
#SPJ1
Answer: A.) ✔ 29 degrees
Step-by-step explanation: i hope this helps :)
help me please I have got to do this by tmr it's my final question
Answer:
ABF = 70
Step-by-step explanation:
Since angle EFD is 35, that means that angle AFB is also 35
Single BCD is 75, that means that angle BAF is also 75
Angles in a triangle add up to 180, thus:
75 + 35 + x = 180
x = 70
Solve for X. HELP?!
Answer:
x = 90
Step-by-step explanation:
In this figure the exterior angle is 130°
An exterior angle is the sum of the interior angles. The interior angles are x and 40 so x + 40 = 130 giving x = 130-40 = 90
Answer:
∠ x = 90°
(90 degrees)
Step-by-step explanation:
When two angles combine to make a straight line, we know that their angle values must add up to 180
Here, we can see that 130 combines with an inner angle to form a straight line. (I will be calling this interior angle z )
So, 130 + z = 180
130 + z = 180
- 130 -130
z = 50
We also know that all angles in a triangle must add up to 180 degrees, and because we know the two other angles of our triangle now, we can find x
z + x + 40 = 180
50 + x + 40 = 180
90 + x = 180
- 90 -90
x = 90
So, the measure of angle x is 90°
hope this helps!! have a lovely day :)
2. Use the Distributive Property to determine which of the following statements is equivalent to 5(6-2).
O11-2
30-2
O11-7
tive OR (JL22) 1 Tools Of The Trade
30 - 10
A
Answer:
30 - 10
Step-by-step explanation:
When you distribute, that means you multiply everything on the outside of the parentheses by everything on the inside.
5 (6-2)
is really
5*6 - 5*2
30 - 10
3. 46,386
4. 1,020,615
Write in word form
Answer:
46,386=Forty six thousand three hundred eighty six.
1,020,615=One million twenty thousand and six hundred fifteen.