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 :
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The front of a vacation cottage is an equilateral triangle with a base of 44 feet. What is the height
x of the cottage above its foundation?
Answer:
Step-by-step explanation:
what is the midpoint between (1,5) and (7,-3)
Answer:
(4,1)
Step-by-step explanation:
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]
[tex]=(\frac{1+7}{2},\frac{5-3}{2})\\\\=(\frac{8}{2},\frac{2}{2})\\\\=(4,1)[/tex]
Find the missing value so that the two points (-1, -1) and (x, 1) have a slope of 217.
6
7
10
12
Answer:
6
Step-by-step explanation:
you needed to make a graph and then find the (-1,-1) and then move two spaces to the right and then seven up and you get (6,1)
hope this helped
James has 13.7 ounces of trail mix. He shares the trail mix equally with his sister.
How much trail mix does each person get?
Answer:
6.85 ounces
Step-by-step explanation:
13.7/2people=6.85
If billy has 20 undex card then cut them in half would that be a physical or chemical change?
Answer:
Physical
Step-by-step explanation:
Cutting the cards in half just changes what they look like, not what they are. Changing what they are would be a chemical change.
Answer: physical change
Step-by-step explanation:
(HELP ASAP GEOMETRY) Find the length of the midsegment. The diagram is not to scale.
Answer:
D?
Step-by-step explanation:
i dont even know this one besties help my small brain 3
Answer:
-If the legs of the triangle added up are bigger than the hypotenuse, its an acute tri.
-if they are smaller then its and obtuse angel
-if the legs added up are = to the hypotenuse, then the triangle Is a right triangle.
your right triangle is:
5,12,13
Step-by-step explanation:
Because 5^2+12^2=13^2
It is true
An online office supply store has 30 boxes of white printer paper, 10 boxes of colored
printer paper, 5 ink printer cartridges, 7 laser printer cartridges. Thomas selects an
item at random. Based on the given information, which statement is true?
Calculate the value of (6.72 x 10^5) + (3.2 x 10^4)
Give your answer in standard form.
Answer:
7.04× 10^5
Step-by-step explanation:
6.72 x 10^5= 6.72 x 10^(4+1)= 6.72 x 10^1 ×10^4
= 67.2 x 10^4
(67.2 x 10^4)+ (3.2 x 10^4)
(67.2+3.2) × 10^4 = 70.4 × 10^4
7.04× 10^5
Answer:
7.04× 10^5 Step-by-step explanation:
3x-8>22
Hellllllllllllllllpppppp
Answer:
Step-by-step explanation:
Pemdaa
Greg and Carl work at neighborhood car wash facilities and are paid daily. Greg is paid $25 a day plus $7 for each car he washes. Carl earns the same amount per car washed, but his total earnings in a day are always $6 more than Greg's. Which equation expresses the total amount, t, that Carl earns, as a function of the cars he washes, c?
A)t=19+7c
B)t=25+7c
C)t=31+7c
D)t=25+13c
Answer:
Answer: It's easy, compare the same answers.
Step-by-step explanation:
A. 19+7= 16
B. 25+7= 32
C. 31+7= 38
D. 25+13= 38
A triangle has sides of length 3 cm, 5 cm, and 7 cm.
Find the size of the largest angle in the triangle,
Answer:
C=120 degrees
Step-by-step explanation:
We can use the law of cosines to find an angle when we have all three sides
(7)^2 = (5)^2 + (3)^2 -(2)(5)(3)Cos(C)
49 = 25 +9 -30Cos(c)
49= 34 -30Cos(c)
15 = -30Cos(c)
Cos(c) = -1/2
C=120 degrees
PLEASE HELP ITS DUE SOON
Unit 8: Right Triangles & Trigonometry Homework 2: Special Right Triangles...Please Help!
3.
We have $10,000 to invest for 45 months. How much money will we have if we put
the money into an account that has an annual interest rate of 5.5% and interest is
compounded...
a. monthly
b. quarterly
c.continuously
(find all)
PLS help me. i need to get this right for a graded homework assignment
Answer:
934.14
Step-by-step explanation:
Answer:
no hey sis
Step-by-step explanation:
3(3v-5) = 39
Simplify your answer as much as possible.
Answer:
v = 6
Step-by-step explanation:
Given
3(3v-5) = 39
So,
3v - 5 = 39 / 3
=> 3v - 5 = 13
=> 3v = 13 + 5
=> 3v = 18
=> v = 18 / 3
=> v = 6
#HopeItHelps
Answer:
V=6
Step-by-step explanation:
Hope this helped! :)
Simplifying
3(3v + -5) = 39
Reorder the terms:
3(-5 + 3v) = 39
(-5 * 3 + 3v * 3) = 39
(-15 + 9v) = 39
Solving
-15 + 9v = 39
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 9v = 39 + 15
Combine like terms: -15 + 15 = 0
0 + 9v = 39 + 15
9v = 39 + 15
Combine like terms: 39 + 15 = 54
9v = 54
Divide each side by '9'.
v = 6
Simplifying
v = 6
Write an integer for each situation. *Remember that an integer is a whole number that
can be negative, positive, or zero.
a bank deposit of $75
-75. a deposit is a 'down payment'
2. What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i?
A. y = x - 2x2 - 9x + 18
B. y = x3 - 2x2 + 9x - 18
C. y = x2 - 5x - 6
D. y = x2 + x - 6
Factor the expression using 3 as one factor. 3x−30
Answer:
3(x - 10)
Step-by-step explanation:
3x - 30 = 3(x - 10)
Hii!
__________________________________________________________
Answer:
3(x-10)
Step-by-step explanation:
Note that both terms, 3x and -30, have a 3 in common. This is called the greatest common factor, or g.c.f.
The g.c.f. of 3x and -30 is 3. So we divide both 3x and -30 by 3, and obtain
x-10
Put parentheses around x-10
(x-10)
Next, put 3 outside the parentheses
3(x-10)
--
Hope that this helped! Best wishes.
--
What is ¨0.83% of n is 18.26¨ (just tell me the value of n)
Answer:
N = 2,200'Percent (%)' means 'out of one hundred':
0.83% = 0.83 'out of one hundred',
p% is read p 'percent',
0.83% = 0.83/100 = 0.83 ÷ 100
Calculate percentage:
'Percentage' is obtained by multiplying 2,200 by 0.83%
0.83% × 2,200 =
(0.83 ÷ 100) × 2,200 =
(0.83 × 2,200) ÷ 100 =
1,826 ÷ 100 =
18.26
Step-by-step explanation:
Hope it is helpful....
if you answer i will give brainliest.
148.5 ÷ 6 =?
Answer:
Step-by-step explanation:
24.75
Answer:
148.5/6=24.75
Four friends were born in consecutive years. The sum of their
ages is 94. What is the age of the oldest friend?
Answer:
25
Step-by-step explanation:
Since they were born on consecutive years, their ages are 4 consecutive whole numbers. Let the lowest age be x. Then the other ages are x + 1, x + 2, and x + 3.
Now we add the 4 expressions and set the sum equal to 94.
x + x + 1 + x + 2 + x + 3 = 94
4x + 6 = 94
4x = 88
x = 22
The youngest one is 22.
The oldest one is
x + 3 = 22 + 3 = 25
Answer: 25
Jessica's business has 83 rolls of toilet paper. Customers use 3 rolls of toilet paper per day.
Write an expression to represent the amount of toilet paper after d days. i dont understand can someone post an answer an explain?
Your parents are allowing you to purchase new clothes for school. You go to Hollister, where shirts are all on sale for $24.00 and jeans are all on sale for $35.00. After trying on some clothes, you check out and leave the store with 13 things in your bag and a receipt that says that you spent $367.00. How many shirts and jeans did you buy?
Define the variables: x= ___________ y=________
Equation #1:______________
Equation #2:______________
Solution: _____________
Answer: 8 shirts 5 jeans
Step-by-step explanation:
Joey learns a total of 14 appetizer recipes over the course of seven weeks. After how many weeks of school will Joey know a total of 16 appetizer recipes. Solve using unit rates
Answer:
8 weeks
Step-by-step explanation:
14 appetizer recipes over the course of 7 weeks means she learns 2 recipes in 1 week so this means it will take her 8 weeks to learn 16 recipes. (Double check to make sure I'm correct)
Please anyone help please ASAP
Answer:
Angle WTS will be 180 degree minus 15x. You can write this as an expression:
180-15x
Now you have an expression for each angle in the triangle. Triangles will always have 180 degrees in them. You can add the expressions together and set it equal to 180. Then you can solve the equation for the x variable.
Step-by-step explanation:
Angle SWT + angle WTS + angle TSW = 180 degrees
Replace each angle with the expression then solve.
Answer:
x=7.90 x≈8
Step-by-step explanation:
they are alternate interior angles
so: 7x+6+15x=180
22x+6=180
22x=174
=7.9090......
you can double check my work
what is 512.3 divded by 100
Answer:
the answer is 5.123
Step-by-step explanation:
have a good day <3
Answer:
5.123
Step-by-step explanation:
Just need to move the decimal two times to the left because there are two zeros.
Pls help me with my homework
Answer:
b = 8
Step-by-step explanation:
Using Pythagorean Theorem, a[tex]a^{2} +b^{2} =c^{2}[/tex], we just plug in what we know.
We know that the hypotenuse, c, is 10 km. We also know that one of the other side lengths is 6 km, we can plug that into either a or b.
Now, our equation will be: [tex]6^{2} +b^{2} =10^{2}[/tex].
You could also use the equation: [tex]b^{2} =10^{2} -6^{2}[/tex].
Next, we'll just solve the equation.
[tex]10^{2} =100[/tex], [tex]6^{2} = 36[/tex]
[tex]b^{2} =100 - 36[/tex]
[tex]b^{2} = 64[/tex]
[tex]\sqrt{b^{2} } = \sqrt{64}[/tex]
b = 8
Good luck :D
I NEED HELP FAST PLEASE :)
Answer:945
Step-by-step explanation: