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
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A triangle has one side of length 4 and another of length 9. Which of the following are possible lengths of the third side?
Please help me
The students in Jeanette's grade voted to select a guest speaker. 50% of the students voted for a famous athlete. If there are 22 students in Jeanette's grade, how many students voted for the athlete?
18) Which of the following situations can be represented by a
proportional relationship?
A. David has $100 in his savings account and adds $5
per week.
B. The initial fee for a website is $60 and $44 per month
to maintain the website.
C. The cost to rent a beach house is a $200 deposit and
$400 per night.
D. Linda earned $8.00 per hour at her summer job.
A sports drink bottle contains 16.9 fluid Ounces. Andre drank 80% of the
bottle. How many fluid Ounces did Andre drink?
Answer:
13.52 fluid ounces should be the right answer! :)
Step-by-step explanation:
Andre drank from the bottle 13.52 fluid ounces if he drank 80% of bottle.
What is Percentage?Percentage is defined as the parts of a number in a whole of 100. This is denoted by the symbol '%'.
In other words, percentage can be defined as the ratio expressed as a fraction of 100.
Any number can be expressed as a percentage of another number by dividing the number with the whole of other number and then multiplying with 100.
Given that, fluid contained in a sports bottle = 16.9 fluid ounces.
Andre drank 80% of the fluid contained in the bottle.
80% of the bottle = 80% × 16.9
= (80 / 100) × 16.9
= 0.8 × 16.9
= 13.52
So this is the total fluid ounces Andre drink.
Hence Andre drank 13.52 fluid ounces from the bottle.
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I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answer:
the answer is 5 3/8
Step-by-step explanation:
the common denoiminator of 4 and 8 is 8 so you multiply 3 by 2 like you did 4 to get 8 and you multiply 5 by 1 like you did 5 to get 5 and you add it all together
Solve for x (X-9)(x+5)=8(21)
PLEASE HELP !! (Sorry if the picture is blurry) ....Amanda is baking cookies for a holiday party. She wants to bake more cookies then she did for last years party. Last year she baked 24 gingerbread cookies and 36 chocolate chip cookies. Which of these represent x, the total number of cookies Amanda must bake to beat last years total? Choose all that are correct.
Answer:
C and D
Step-by-step explanation:
It’s the answer because it has to be greater than 60
Mr. Setterloff drives 756 miles in 12 hours. How far does he drive in 1 hour?
Answer:
He drives 63 miles in 1 hour
Step-by-step explanation:
756/12= 63
Calculate the area of the parallelogram, giving your answer correct to 3 significant figures.
Answer:
114 units²
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
AB = CD , that is
13x - 7 = 5x + 9 ( subtract 5x from both sides )
8x - 7 = 9 ( add 7 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Then
5x + 9 = 5(2) + 9 = 10 + 9 = 19
3x = 3(2) = 6
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height ), thus
A = 19 × 6 = 114 units²
During their field trip the students had the following lunch options. For their main meal they had four options: Sandwich, Burger, Pizza and Chicken Tenders. For drinks their options was limited to two options Water and Gatorade. And for their side order they had two options: chips or fries. What is the probability than the next person will choose to have Chips for their meal?
Answer:
50%
Step-by-step explanation:
beacuse their are only 2 options which means 50% for each option. so when the student goes to pick there is a 50% chance their pick either one.
3.2h+4=23.2 please help me
Answer:
h = 6
Step-by-step explanation:
What set of numbers could be the side lengths of a right triangle ?
Answer:
I think it's A 3,4,6 could be the length of the triangle
Simplify the expression: 9-2X + 8 + x + 5x
Answer:
4x + 17
Step-by-step explanation:
9 - 2x + 8+ x + 5x
Add/Subtract the values with variables together and the same case for the values without any variables.
5x + x - 2x = 4x
9 + 8 = 17
So you'll end up with the following,
4x + 17
In a bag of skittles, there are 124 pieces. 25% are red. How many skittles are NOT red? Put the numeric answer only.
Answer:
496
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
124 * 25%
31
124-31
93
A designer lamp costs £475
It is reduced by 30% in a sale
How much does the lamp now cost?
Answer:
$332.50 is the new discounted price
Step-by-step explanation:
30% of 475
30/100 x $475. 00
= $142.50
$475.00-$142.50=$332.50
and thats the answer
Solve the question to get brainliest
Answer:
D..................
Step-by-step explanation:
Have a nice day
help me plz i’m begging
Answer:
I believe the answer is the first one. definitely not the third or fourth. and it should only be exponented by t not 2t because then it'd be double what you should have.
Stacy reasons that since dilations change lengths they also change angles by the same factor. Is she correct? If not, explain why, I will list brainlist if you reply fast
Answer:
Stacy is incorrect. Dilations do not affect the angles of a given figure since dilations create parallel lines and the angles on parallel lines are congruent.
Step-by-step explanation:
just took the quiz :)
Please help ASAP!!!!
Answer:
130°
Step-by-step explanation:
∠JDG and ∠EDF are opposite angles. The measures of arcs for opposite angles always add up to 180°. Since the arc for ∠JDG is 50°, the arc for ∠EDF has to be 130°, because 50 + 130 = 180.
(8x + 9) + (–6x – 1)
Answer:
5
Step-by-step explanation:
Simplifying
(8x + 9) + -1(6x + -1) = 0
Reorder the terms:
(9 + 8x) + -1(6x + -1) = 0
Remove parenthesis around (9 + 8x)
9 + 8x + -1(6x + -1) = 0
Reorder the terms:
9 + 8x + -1(-1 + 6x) = 0
9 + 8x + (-1 * -1 + 6x * -1) = 0
9 + 8x + (1 + -6x) = 0
Reorder the terms:
9 + 1 + 8x + -6x = 0
Combine like terms: 9 + 1 = 10
10 + 8x + -6x = 0
Combine like terms: 8x + -6x = 2x
10 + 2x = 0
Solving
10 + 2x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 2x = 0 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = 0 + -10
2x = 0 + -10
Combine like terms: 0 + -10 = -10
2x = -10
Divide each side by '2'.
x = -5
Simplifying
x = -5
made by TheRealMarinette
hmark 1 - Item 205023
Erin received the following scores on her last four spelling tests.
23, 82%, 0.8,
17
20
Which of these is Erin's highest score?
Answer:
82% is her highest score
Step-by-step explanation:
82 is greater than 23, 80, 17 and 20
3. The point P(3,5) is rotated 90° clockwise
about the origin. What are the coordinates of
P'?
A. P'(-3,-5)
B. P’(5,-3)
C. P'(-5,3)
D. P'(5, 3)
Please :)
Answer:
New coordinates of P' are: P'(5, -3)
Hence, option B i.e. P'(5,-3) is correct.
Step-by-step explanation:
When a point A(x, y) is rotated 90° clockwise around the origin, we flip x and y and reverse the sign of x.
Thus,
The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:
A(x, y) → A'(y, -x)
In our case, the point P(3, 5) is rotated 90° clockwise about the origin. Thus, the coordinates of P' will be:
A(x, y) → A'(y, -x)
P(3, 5) → P'(5, -3)
Therefore, coordinates of P' are: P'(5, -3)
Hence, option B i.e. P'(5,-3) is correct.
Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 5x − 1). If the final answer is written in the form Ax2 + Bx + C, what is the value of A? Give only the numeric value of A, and do NOT give variables in your answer.
Answer:
b
Step-by-step explanation:
.....
what's a word problem for 10x=2
Answer: Divide each side by '10'. x2 = 9 Simplifying x2 = 9 Take the square root of each side: x = {-3, 3
Step-by-step explanation:
what is 14/20 as a percentage ?
Answer:
The answer is 70% HOPED THIS HELPED !!
Step-by-step explanation:
You turn 14/20 to a decimal which is 0.7 then multiply 0.7 by 100 which equals 70%.
A plant is already 54 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after M months is given by the following.
What is the plant's height after 13 months?
Answer:
67 cm
Step-by-step explanation:
We are given the initial height of the plant let's call it H.
H = 54 cm. This is the original height of the plant at M(months) = 0.
We are given that it grows at 1 cm/month. This is the rate of growth.
Rate = 1
Time (M) is given in Months.
So when M = 0, H = 54
Let's say M = 1, That is one month has passed. In this time the plant's height would have increased by 1 cm. So our plant's height would be H = 54+1 = 55 cm.
When Two months have passed our plant's height would be H = 54 + 2 = 56 cm , since every month our plant gains 1 cm in Height, we can make a fuction for this.
H = 1M + 54.
Now we just plug in 13 for M, to get 13 months.
H = 13 + 54
H = 67 cm
So our plant would be 67 cm in height after 13 months.
Plz help I don’t understand.
Determine whether the sequence is arithmetic. If yes, identify the common difference and give the next three terms.
( -3, -12, -48, -192, ...)
Answer:
I do my love a ti love
Step-by-step explanation:
coroneta
Answer:
The sequence is a Gp
Each term can be gotten from multiplying the common difference (4)
Next three terms
(-192×4)= - 768
(-768×4)= - 3172
(-3172×4)= - 12688
Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old are Mark, his sister, and his dad?
Answer:
Age of Mark [tex]=10[/tex] years
Age of Mark's dad [tex]=30[/tex] years
Age of Mark's sister [tex]=8[/tex] years
Step-by-step explanation:
Let age of Mark be [tex]x[/tex] years.
Mark's dad is three times older than Mark
Age of her Mark's dad [tex]=3x[/tex]
Mark's sister is 2 years younger than Mark
Age of Mark's sister [tex]=(x-2)[/tex] years
The sum of their ages is 48.
[tex]x+3x+x-2=48\\5x-2=48\\5x=50\\x=10[/tex]
Age of Mark [tex]=x=10[/tex] years
Age of Mark's dad [tex]=3x=3(10)=30[/tex] years
Age of Mark's sister [tex]=x-2=10-2=8[/tex] years
the diameter of a bail ball is 6cm. what is the volume? round to the nearest whole number
Answer:
lnkbprtngbp knmbmt[onbmorbmntionbtlrmbvlnrpoigmboigmnb
Step-by-step explanation:
PLEASE HELP ITS TIMED!!!
Order from least to greatest -1/2, -3/4, -2/5
Answer:
-2/5, -1/2, -3/4
Step-by-step explanation:
You have to have the same denominator.
-10/20, -15/20, -8/20
Hope this helps!