Answer:
34.1546, 34.248, 39.637, 44.3421, 44.351
Step-by-step explanation:
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
Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
She records them as ordered pairs (age, height): (11, 62), (12, 64), (13, 65), (13, 67), and (14, 68).
Is this relation a function? Explain.
Answer:
Im not sure but i think its b or c
Step-by-step explanation:
I would probably mostly recommend b
Two numbers have a sum of 12 and a difference of 4. What is the smaller of the two numbers?
-(5 – 9) - (-2)(2)
how do i solve this?
Answer:
8
Step-by-step explanation:
-(5 – 9) - (-2)(2)
-(-4) - (-2)(2)
4 - (-4)
4 + 4
8
Use PEMDAS
Answer: The answer is 8
Step-by-step explanation:
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
Which equation represents the graphed line?
y
6
4
NO
O
2
4
6
A. y - 1 = -2(x - 3)
O
B. y - 1 = -2(x + 3)
C. y + 1 = -2(x - 3)
O D. y + 1 = -2(x + 3)
Answer:
D
Step-by-step explanation:
A farmer wants to fence a piece of his land. Two sides of the triangular field have lengths of 120 feet and 325 feet. The measure of the angle between those sides is 70 degrees. How much fencing will a farmer need?
Farmer need 750.5 feet fencing for his triangular field.
What is triangle?"Triangle is two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.
Formula used
Cosine rule
As per the diagram,
cosθ = (b² +c² -a²) / 2bc
cos 70° = 0.3420
According to the question,
Let AB = c , AC = b are given sides of measure 120 feet and 325 feet respectively.
and BC = a
Angle between given sides be θ = 70°
Substitute the value in the formula we get,
cos70° = [ (325)² +(120)² - a²] / 2(120)(325)
⇒ 0.3420 = [ 120025 - a²] / 78000
⇒ 120025 -a² = 26676
⇒ a² = 93349
⇒ a = 305.5
Total fencing required for triangular field = AB + BC +CA
= 120 + 325 + 305.5
= 750.5 feet
Hence, farmer need 750.5 feet fencing for his triangular field.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ2
45% of the students at Mannion Middle School walk to school. If 234 students walk to school, how many students are at Mannion Middle School?
Answer:
520
Step-by-step explanation:
234=45%
26=5%
100/5=20
20X26=520
Answer:c520 is the answer your welcome! :)
Step-by-step explanation:
plz solve this (t+p)4
Answer:
4t+4p
Step-by-step explanation:
Plz help!!! 10 pts..
Answer:
63 boquets were sold in the afternoon.
Step-by-step explanation:
Divide 90 by 10 to get 9. Then multiply 9 by 3.
Answer:
23.1 pounds.
Step-by-step explanation:
Multiply 140 by 0.165.
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
convert 40/99 into a decimal round to the nearest tenth if possible
Answer:
.40
Step-by-step explanation:
convert the fraction to a decimal by dividing the numerator by the denominator.
Montana is known for having very chilly winters. One night, the temperature was falling by 2 degrees Fahrenheit each hour. At sunset, the temperature was -5 degrees Fahrenheit. How many hours will it take for the temperature to reach -19° F?
Answer:
7 hours
Step-by-step explanation:
We are given that
At sunset, the temperature=-5 degrees Fahrenheit
Each hour, temperature falling=2degrees Fahrenheit
We have to find time taken to reach the temperature -19° F.
Let x be the time time taken to reach the temperature -19° F
According to question
[tex]-5+x(-2)=-19[/tex]
Where we taking 2 negative because temperature decreases.
[tex]-5-2x=-19[/tex]
[tex]-5+19=2x[/tex]
[tex]14=2x[/tex]
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
Hence, it will take 7 hours for the temperature to reach -19° F.
WILL GIVE BRAINLIEST PLEASE HELP
Ryan and Eduardo are saving up money for a vacation to Italy. They have calculated that the trip will cost at least $900. If they’ve already saved $270, how much more do they need to save in order to have enough for the trip? Write an inequality and solution set
Answer:
they need to save $630 in order to have enough for the trip
270 + 630 = $900
HURRY HAS TO BE DONE BY 10:50 Fill in the blank with the correct number.
The number ________
is divisible by 3, 4, 5, and 9.
OA) 24
OB) 45
OC) 90
OD) 180
Answer:
i think its 180
Step-by-step explanation:
-4 (y - 2) = 12
what would “y” be?
Answer:
y = -1
Step-by-step explanation:
When solving this equation use the distributive property and get...
-4 (y - 2) = 12
-4y + 8 = 12
-4y = 12 - 8
-4y = 4
y = -1
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:
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
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
Factorise 3y^3-4xy+2y
Answer:
3y^3-4xy+2y
y(3y²-4x+2)
Between what 2 consecutive numbers does the square root of 15 fall?
1. 15
2. 4
3. 16
4. 3
5. 14
6. 2
7. 5
Answer: In between 3 and 4
Step-by-step explanation:
Brainliest pllllzzzzz
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
Identify the next three terms of the sequence below:
-6, -10, -14,...
Answer:
-18, -22, -26, -30
Step-by-step explanation:
add negative 4 each time
What is the perimeter of each figure? I'm sorry-
Answer:
1. 4x + 10
2. 3x + 22
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)
Please help! I will mark brainliest if you are correct
the sides lenghths of a triangle are 9, 12, and 18 is this a right triangle?
Answer:
By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.
150 miles to 4 hours ratio
Answer:
150 miles to 4 hours ratio is 75:2
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:
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: