Answer:
GCHB
Step-by-step explanation:
A small regional carrier accepted 22 reservations for a particular flight with 20 seats. 14 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 42% chance, independently of each other.
a. Find the probability that overbooking occurs.
b. Find the probability that the flight has empty seats.
The probabilities for each case are:
a) P = 0.012b) P = 0.937How to get the probability?
There are 8 reservations for passengers that may go or not, such that the probability of arriving to the flight is P = 0.42, and the probability of not arriving is Q = 0.58
a) There will be overbooking if 7 or more passengers go to the flight, the probability that the 8 attend is:
P(8) = (0.42)^8
The probability that 7 attend is:
P(7) = 8*(0.42)^7*(0.58)
(where the factor 8 is because there are 8 permutations)
The total probability is:
P = P(8) + P(7) = 0.012
b) Will be empty seats if less than 6 people go.
The probability that exactly 6 of these people go to the flight is:
P(6) = (28)*(0.42)^6*(0.58)^2
Where there are 28 permutations, that is why we used that factor.
Then, the probability of having empty seats is:
P = 1 - P(6) - P(7) - P(8) = 0.937
If you want to learn more about probability, you can read:
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Ryan is mowing lawns. It takes him an hour to mow one lawn. He has already spent hours mowing lawns today. He can only mow today for a total of 5 hours at most. The given inequality can be used to find x, the number of lawns he can still mow today. Which statement is true? A. Ryan can mow no fewer than 7 additional lawns today. B. Ryan can mow no more than 3 additional lawns today. C. Ryan can mow no more than 7 additional lawns today. D. Ryan can mow no fewer than 3 additional lawns today.
Complete question :
Ryan is mowing lawns. It takes him an hour to mow one lawn. He has already spent 2 hours mowing lawns today. He can only mow today for a total of 5 hours at most. The given inequality can be used to find x, the number of lawns he can still mow today. Which statement is true? A. Ryan can mow no fewer than 7 additional lawns today. B. Ryan can mow no more than 3 additional lawns today. C. Ryan can mow no more than 7 additional lawns today. D. Ryan can mow no fewer than 3 additional lawns today.
Answer:
B. Ryan can mow no more than 3 additional lawns
Step-by-step explanation:
Given that :
Time taken to now 1 lawn = 1 hour = 60 minutes
Number of hours already spent mowing today = 2
He can mow at most 5 hours mowing today
Find the number of lawn x he can still mow today:
Since 1 lawn takes 1 hour to mow ;
Lawns mowed in 2 hours = 2 lawns
The most number of lawn he can mow today Given that he can only spent at most 5 hours mowing will be (5/1) = 5 lawns
Lawns mowed already + x ≤ 5
2 + x ≤ 5
x ≤ 5 - 2
x ≤ 3
Hence, Ryan can mow no more than 3 additional lawns.
yea yea yea slat whole lotta red red slat yeaaaa
I WILL MAKE BRAINLYEST
Describe a real-life situation that can be represented with the equation 2x+5=13
Be sure to:
1) Identify what your variable represents (sentence already started for you in the text box).
2) Include each operation and part of the equation in your description.
Answer:
John wanted to buy a toy that cost 13 dollars, he has 5 already and 2 days to make the rest of the money. Let x be the amount of money John has to make each day in order to be able to buy the toy.
Step-by-step explanation:
Hope this helps, please mark brainliest.
If a cab takes the money as a fixed charge of 5 Rupees and then it takes money twice the distance travelled. Then find the how many kilometres Alice travelled if she paid the cab 13 rupees.
1. The Variable here is x
2. 2x + 5 = 13
=> 2x= 8
=> x = 4
Alice travelled 4km
the function g(x) is a transformation of the quadratic parent function, f(x) = x^2. What function is g(x)
Answer:
Option (C)
Step-by-step explanation:
Quadratic parent function has been given as,
f(x) = x²
If we reflect this function across the x-axis and vertically stretched by a scale factor of 'k',
g(x) = -kx²
This quadratic function passes through a point (1, -4),
g(1) = -k(1)²
-4 = -k
k = 4
Therefore, the new function after transformation will be,
g(x) = -4x²
Option (C) will be the correct option.
The function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].
Given that,
The function g(x) is a transformation of the quadratic parent function,
[tex]\rm f(x) = x^2[/tex]
We have to determine,
What function is g(x)?
According to the question,
The function f(x) is a transformation of the quadratic parent function,
[tex]\rm f(x) = x^2[/tex]
In the given figure the function g(x) reflect across the x-axis and is vertically stretched by a scale factor of 'k',
Then, The function g(x) is,
[tex]\rm g(x) = -kx^2[/tex]
Therefore,
The quadratic equation passes through the point (1,4),
[tex]\rm g(x) = -kx^2\\\\g(1) = -k(1)^2\\\\-4 = -k\\\\k= 4[/tex]
Therefore,
The function g(x) is,
[tex]\rm g(x) = -kx^2\\\\g(x) = -4x^2[/tex]
Hence, The required function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].
For more details refer to the link given below.
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How much do you earn per week if your annual salary is $40,716?
Answer:
783
Step-by-step explanation:
There are 52 weeks in a year. Divide 40,716/52 and you get $783 weekly.
What are some strategies you can use to compare rational expressions?
What is the area of a sector with a central angle of 5π7 radians and a diameter of 5. 6 in. ? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. In².
The area of the sector which has a central angle of 5π/7 radians and a diameter of 5.6 in is 8.79 in².
What is the area of a circular sector?The area of a circular sector is the total space occupied by it. The sector area is half of the product of the square of radius of the circle and the central angle.
It can be calculated as,
[tex]A_{sector}=\dfrac{d^2\theta}{8}[/tex]
Here, (d) is the diameter of the circle and (θ) is the central angle.
The central angle of the sector is 5π/7 radians and the diameter of the sector is 5.6 in.
Put the values in the above formula as,
[tex]A_{sector}=\dfrac{(5.6)^2\times5\pi}{8\times7}\\A_{sector}=\dfrac{(5.6)^2\times5\pi}{8\times7}\\A_{sector}=8.79 \rm \; in^2[/tex]
Hence, the area of the sector which has a central angle of 5π/7 radians and a diameter of 5.6 in is 8.79 in².
Learn more about the area of a circular sector here;
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hey so can u help me with this question?
Answer:
E. 0.75%
Step-by-step explanation:
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section number 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. A winning spin is 2.
Find the the theoretical and experimental probabilities of winning, and compare the 2.
Theoretical Probability:_______
Experimental Probability:__________
Which is greater?:_______
Answer:
Theoretical Probability: 33%
Experimental Probability: 25%
Which is greater?: Theoretical
Step-by-step explanation:
If two out of the six sections are labeled as 2, you'd have a theoretical probability of [tex]\frac{1}{3}[/tex] or 33% of winning.
Based on Stacy's experiment results, the pointer landed on a winning spin 30 out of the 120 times it was spun. This makes the experimental probability [tex]\frac{1}{4}[/tex] or 25% of winning.
In this scenario, the theoretical probability is greater than the experimental probability.
Hope this helps~!
Sierra Ridge Middle School is getting a new lunchroom. Robert is surveying a random
selection of students to find out what new features they'd like to add. The table below shows
how many students surveyed have ranked each feature as their first choice. Robert wants to
survey at least 50 more students.
Lunchroom feature Number of students
sound system
10
water cooler
7
painted mural
4
bulletin boards
5
Based on the data, estimate how many of the next 50 students surveyed will rank a water
cooler as their first choice of additions to the lunchroom.
If necessary, round your answer to the nearest whole number.
students
Answer: 13
Step-by-step explanation:First, based on the data, find the probability of a water cooler being a student's first choice of additions to the lunchroom.
Robert has surveyed 10+7+4+5=26students.
7 of these students ranked a water cooler as their first choice.
So, the probability of a water cooler being a student's first choice of additions to the lunchroom is
7
26
.
You can estimate how many of the next 50 students surveyed will rank a water cooler as their first choice by assuming that
7
26
of the 50 students will do so. Find
7
26
of 50.
7
26
50=13.461…
Based on the data, about 13 students out of the next 50 surveyed will rank a water cooler as their first choice of additions to the lunchroom.
Please I need some steps!
Answer:
98.875
Step-by-step explanation:
Just add all the hours worked.
Hope this helps! :)
In December, Gyu Ha could type 35 words per minute. In March, he could type 42 words per minute. What is his percent of change in the number of words per minute he could type from December to March?
Answer:
what 35 minus 42
Step-by-step explanation:
Answer:
20%
Step-by-step explanation: you just multiply 35 bye different percent and obviously more than 50 is too much in less than 10 is too little so just multiply from numbers that you know are close and from 35 to 42 is seven so once you multiply those percent by 35 you have to get seven as your answer
4. Passes through (4, -2) and m = 0.
Answer:
indictmentindictmentindictmentindictmentindictmentindictment
Step-by-step explanation:
Harvey conducted a probability experiment using a cube numbered 1-6 and a spinner with three equal spaces, as shown.
А
B
On each trial of the experiment, the number cube is tossed once and the arrow is spun once.
What is the sample space for the experiment?
Answer:
We have two independent events.
A number cube, with 6 possible outcomes.
A spinner, with 3 possible outcomes.
Each element in the combined sample space will be something like:
(outcome of the number cube, outcome of the spinner).
Then the number of possible outcomes in the sample size is equal to the product between the number of outcomes in each event.
Sample space size = 6*3 = 18.
Answer:
The answer is D. With all the 18 options.
Step-by-step explanation:
Given: m | n
m
46°
6x-2
n
What is the value of 2?
Answer:
7
Step-by-step explanation:
Because the lines are parrell and there is and a line intersecting both, you can say that the angles are interior corresponding angles. Thus you can have an equation 46=6x-2 then 48=6x divide x=7
Evaluate the expression \{10 x 7\}+(10 - 6){10×7}+(10−6)left brace, 10, times, 7, right brace, plus, left parenthesis, 10, minus, 6, right parenthesis.
Answer:
74
10x7=70
10-6=4
70+4=74
The result of the given mathematical expression is 74.
What is a mathematical expression?A mathematical expression consists of numbers, variables, and common mathematical operations such as addition, subtraction, multiplication, division, and more.
The given expression is:
{10 x 7} + (10 - 6)
= 70 + 4
= 74
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What are the complete factors of the polynomial 7x - 7?
Answer:
7(x-1)
Step-by-step explanation:
If you factor out 7 from each term,
you end up with 7([tex]\frac{7x}{7} -\frac{7}{7}[/tex])
or 7(x-1)
7505 ÷ 25
please send a photo
Answer:
300.2
7505/25=300.2 or300
What is the unit rate for mason's run?
Answer:
Picture or graph? I need a graph to answer.
k(-3)4x²+1. please help me!
-12kxand up a 2 +1
your welcome
your girl unique
Answer:
[tex]-12kx^2+1[/tex]
Step-by-step explanation:
Given;
k(-3)4x²+1
Solve;
[tex]k\left(-3\right)\cdot \:4x^2+1[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:\left(-3\right)\cdot \:4=-12[/tex]
[tex]=k\left(-12\right)x^2+1[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \:k\left(-12\right)x^2=-k\cdot \:12x^2[/tex]
[tex]=-k\cdot \:12x^2+1[/tex]
[tex]=-12kx^2+1[/tex]
Answer = [tex]-12kx^2+1[/tex]
~Learn with Lenvy~
whats the equation 2+2 yo
Answer: is 4 you dontiy noweok
Step-by-step explanation: beacouse 2 + 2 is for silli sdlkfjasñldkas
sadfjlñsakdfjñsldfk
sdfsdlfksjañdlkfj234
23
42
34
23
4234
4
56
6
345
.
Megan drove 16.7 miles on Monday, 24.25 miles on Tuesday, and 17 miles on Wednesday. How far did she drive altogether?
Answer:57.95
Step-by-step explanation:
24.25
16.70
17.00=57.95
You need a new computer for college that costs $1200. You
have worked all summer and earned $960. You will have to ask
your aunt if you can borrow the rest. What percent of the
computer's cost do you ask your aunt to pay?
Answer: 20%
Step-by-step explanation: $1200 - $960 = $240
20% of 1200 is 240.
Please help. Thanks.
If f(1) = 0, what are all the roots of the function f (x) = x cubed + 3 x squared minus x minus 3? Use the Remainder Theorem.
x = –1, x = 1, or x = 3
x = –3, x = –1, or x = 1
x = –3 or x = 1
x = –1 or x = 3
Answer:
x = –3, x = –1, or x = 1
Step-by-step explanation:
when I put -3.-1,or 1 as x I get 0
Remainder Theorem Way :
x^3-3x^2-x-3
x^2 (x+3) -1(x+3) = 0
(x^2 -1) (x+3) = 0
(x+1) (x-1) (x+3) = 0
x= 1 x= -1 x= -3
https://brainly.com/question/3470351
Answer:
its b
Step-by-step explanation:
cause I took test
Jenny wishes to advertise her business, so she gives packs of 8 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Jenny realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color?
Answer:
8 red flyers and 8 blue flyers
Step-by-step explanation:
Packs of red flyers = 8
Blue flyers = 4
Jenny realizes that she gave out the same number of red and blue flyers
Find the lowest multiples of 8 and 4
8 = 8, 16, 24, 32
4 = 4, 8, 12, 16
The lowest common multiples of 8 and 4 is 8
Therefore,
The minimum number of flyers of each color is
8 red flyers and 8 blue flyers
Multiplying Polynomials.
Simplify each difference.
Help me with this problem please.
Answer:
1.23, -4.8
Step-by-step explanation:
-3.57 - 1.23 = -4.8
Hope this helps :)
To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y.
What is the next step?
A. Replace y with f'(X).
B. Subtract 10 from both sides of the equation.
C. Switch x and y.
D. Solve the equation for x.
Answer: Switch x and y
A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.
Hence, the correct option is C.
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Use the Distributive Property to solve the equation. 3/5(a + 5. 25) = 7. 35a =