An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.
For the following questions, pick the correct value rounded to the nearest hundredth.
What is the probability that Sam will be upgraded exactly 3 times in his next 20 flights?
What is the probability that Sam will be upgraded at most 4 times in his next 20 flights?
What is the probability that Sam’s first upgrade will occur on the third flight?
Answer:
b
Step-by-step explanation:
a) The probability that Sam will be upgraded exactly 3 times in his next 20 flights is 19.01 %
b) The probability that Sam will be upgraded at most 4 times in his next 20 flights is 95.68 %
c) The probability that Sam’s first upgrade will occur on the third flight is 0.0729
What is a Binomial Distribution?
The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability of getting a coach-class ticket be p
The value of p = 0.10
a)
The probability that Sam will be upgraded exactly 3 times in his next 20 flights
The number of trials = 20
The probability of success p = 0.10
The probability of failure q = 1 - p
The probability of failure q = 0.90
x = 3
Substituting the values in the equation , we get
P ( 3 ) = [ 20! / ( 17 )! 3! ] ( 0.10 )³ ( 0.90 )¹⁷
P ( 3 ) = 0.1901
P ( 3 ) = 19.01 %
b)
The probability that Sam will be upgraded at most 4 times in his next 20 flights
The number of trials = 20
The probability of success p = 0.10
The probability of failure q = 1 - p
The probability of failure q = 0.90
x ≤ 4
Substituting the values in the equation , we get
P ( x ≤ 4 ) = [ 20! / ( 16 )! 4! ] ( 0.10 )⁴ ( 0.90 )¹⁶
P ( x ≤ 4 ) = 0.9568
P ( x ≤ 4 ) = 95.68 %
c)
The probability that Sam’s first upgrade will occur on the third flight
A = ( 0.9 ) ( 0.9 ) ( 0.9 ) ( 0.1 )
A = 0.0729
A = 7.29 %
Hence , the solution is calculated by binomial distribution
To learn more about binomial distribution click :
https://brainly.com/question/29350029
#SPJ2
please please help me
Answer:
Step-by-step explanation:
1]Add 6 to both sides.
x/3=20+6
2] x/3=26
3]Multiply both sides by 3.
x= 26*3
x= 78
please it’s due in 30 minutes i will give brainly
Answer:
Area = 113.01 m²
Step-by-step explanation:
From the picture attached,
Area of the quadrilateral ABCD = Area of triangle ABC+ Area of triangle ACD
Construction to be done → Draw a perpendicular from a point A to the opposite side CD
Area of Δ ABC = [tex]\frac{1}{2}(AB)(BC)[/tex]
= [tex]\frac{1}{2}(12)(10)[/tex]
= 60 m²
Area of triangle ACD = [tex]\frac{1}{2}(AE)(CD)[/tex]
From ΔAEC,
sin(29°) = [tex]\frac{AE}{AC}[/tex]
AC = [tex]\sqrt{(12)^2+(10)^2}[/tex] [By Pythagoras theorem]
AC = [tex]\sqrt{244}[/tex]
AC = 15.62 m
Therefore, AE = 15.62sin(29)
= 7.57 m
Area of ΔACD = [tex]\frac{1}{2}(7.57)(14)[/tex]
= 53.01 m²
Area of ABCD = 60 + 53.01
= 113.01 m²
The perimeter of the square below is 116 m. What is the value of a?
5a +9
(5a+9)4=116
20a+36=116
20a=116-36
20a/20=80/20
a=4
Twelve packs of paper cost $7.20. Of each pack costs the same, how much does one pack cost?
Answer:
$0.6
Step-by-step explanation:
P means Packs
12P=$7.20
divide both sides by 12
P=$0.6
so 1 pack costs $0.6
what is -6=2x now i thought that i did not find a trustworthy answer on this site because all i got was the equation for the answer which is clearly not the answer at all now you should u[date your site more because people might actually use that on their paper and get 0 credit so your not really helping people here on this site
Answer:
nose inglés ay pa la próxima
x = -3
you just divide the 2 to the other side and -6/2=-3.
need help please show your work
find the missing angles of triangles
Answer:
angle: 71
x = -3
Step-by-step explanation:
step 1: 180-(55+54) = 71
step 2: x+74=71 (subtract 74 from both sides)
step 3: x=-3
step 4: -3+74=71
Evaluate the expression if b= 6 and c= 10.
5b/c
Answer:
=3
Step-by-step explanation:
5b/c
=5*6/10
=30/10
=3
Answer:
If b = 6 and c = 10, the value of an expression is 3.
Step-by-step explanation:
Given the expression
[tex]\frac{5b}{c}[/tex]
We have to evaluate the expression if b = 6 and c = 10.
Important Tip:
In order to evaluate the expression [tex]\frac{5b}{c}[/tex], all we need to do is to substitute the value of b and c in the expression.
As the expression is
[tex]\frac{5b}{c}[/tex]
substitute b = 6 and c = 10 in the expression
[tex]\frac{5b}{c}=\frac{5\left(6\right)}{10}[/tex]
[tex]=\frac{30}{10}[/tex]
[tex]=3[/tex] ∵ [tex]\frac{30}{10}=3[/tex]
Therefore, if b = 6 and c = 10, the value of an expression is 3.
Factorise 3y^3-4xy+2y
Answer:
3y^3-4xy+2y
y(3y²-4x+2)
A line passes through the point (-9,8) and has a slope of -4/3. Write an equation in point slope form for this line
Answer:
y-8=-4/3(x+9)
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-4/3(x-(-9))
y-8=-4/3(x+9)
If the candies cost $0.80 per pound, how much money did Zachary spend all together? Show your work.
Answer:
Step-by-step explanation:
tfygggggggggggggggggggghzegrxdrcgfexrydgbfetyrhfgvbyhgrthvbthg6cygn
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse.
If b = 6.8 centimeters and c = 9.7 centimeters, what is the perimeter? If necessary, round to
the nearest tenth.
Answer:
P=23.4
Step-by-step explanation:
so using the pytogoren theroum
c2-b2= a2
so a= 6.9
so P= 6.9+6.8+9.7=23.4
if my answer helped please mark as brainliest.
what does y = -10x + 80 look like on a graph?
Answer:
I posted a picture on how it looks
Step-by-step explanation:
Hope this Hlepd
12 (x+1/6) = 8 20 points
Answer:
12x + 2
Step-by-step explanation:
12 is multiplyed by both the x and the (1/6) since it is outside the equation.
so 12 times x = 12x since we dont know what x is
and 12 times (1/6) = (12/6) = 2
Segment A'B' is parallel to segment AB.
What is the length of segment AB?
Answer:
7.5
Step-by-step explanation:
5/6=x/9
cross multiply
6x=45
x=45/6
x=7 3/6 = 7 1/2 = 7.5
I need help please I’m having a breakdown
what is (-4)(-1)(-3)
Answer:
-12
Step-by-step explanation:
multiplication
Answer:
-12
Step-by-step explanation:
-4 x -1 x -3
4 x -3
=-12
what u think answer
Find the simple interest earned on a deposit of $2,800 that earns 2% annual interest after 5 years.
$28,000
$28,000
$30,080
$30,080
$2,420
$2,420
$280
Rebecca bought an LED tv set that is 32 inches long. The diagonal length measures 40 inches. What is the width of the tv screen?
Answer:
25
Step-by-step explanation:
What is the range of the function represented by the graph?
On a coordinate plane, points are at (0, 1), (1, 2), (2, 3), (3, 4).
{0, 1, 2, 3}
{1, 2, 3, 4}
1 less-than-or-equal-to y less-than-or-equal-to 4
0 less-than-or-equal-to x less-than-or-equal-to 3
Answer:
{1,2,3,4}
Step-by-step explanation:
cant be zero, also got it right on edge 2020
Answer:
{1,2,3,4}
Step-by-step explanation:
The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of change between the points (–3, 0) and (–2, –5)?
x
y
–5
10
–4
5
–3
0
–2
–5
–5
Negative StartFraction 1 Over 5 EndFraction
One-fifth
5
Answer:
use the slope formula y2-y1/x2-x1 and you should get -5-0/-2+3= -5 which means the rate of change should be 5
Answer:
5
Step-by-step explanation:
Help meee 50 points explain ALL OF IT if you really do it ill give you 200 points pls
Answer:
Explain what there is no picture
Step-by-step explanation:
Hai!
1. He is Considering 3 Themes: Space, Safari, and Comics.
2. He is Considering 2 Places: Skating rink and the Park.
3. He is Considering 3 Days of the week: Friday, Saturday, and Sunday.
4. EXAMPLE 1 One possibility is that Noah is considering is a party with a Safari Theme at the park on Friday EXAMPLE 2 One possibility is that Noah is considering is a party with a Comics Theme at the park on Saturday
5. There is 21 Possible Outcomes
Hope I helped. Best of luck! :3
The coordinates of the vertices of △ABC and its image after a transformation are
shown below.
△ABC: A (2, 1), B (4, 2), C (3, 5)
△A,B,C,: A, (22, 1), B, (0, 2), C, (21, 5)
Describe the difference in the x-values and the y-values of the corresponding vertices. What transformation produced △A,B,C
Answer:
they don't have the same number at the beginning of that number
Step-by-step explanation:
Can someone help me I think I'm doing my math wrong
Answer:
Ay bruv I need to see the answer choices to help
Step-by-step explanation:
What is the perimeter of each figure? I'm sorry-
Answer:
1. 4x + 10
2. 3x + 22
Amanda saves $15 per week for her summer vacation. Write an equation that she can use to.Find S, her savings after W weeks
Answer:
S= 15W
Step-by-step explanation:
Given data
We are told that Amanda saves $15 per week for her summer vacation
Let her total savings be S
and the number of weeks be W
Hence the expression for her savings is
S= 15W
can someone help me please.
Answer:
option 3 is the answer
.......
Anthony works at a company where he gets a set 5% raise every year. If his current salary is
$71,000, what will his salary be in 13 years?
If necessary, round your answer to the nearest cent.
mr. Kido purchased 5
footballs for his
physicd education
class. If he paid
$41.25. how much was
each football?
Help!!
Answer:
8.25
Step-by-step explanation:
Answer:
$8.25
Step-by-step explanation:
Divide: 41.25 divided by 5
41.25 divided by 5=8.25
$8.25
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a wonderful day/afternoon/night!!!