Answer:
The probability is [tex]P(X >300 ) = 0.97219 [/tex]
Step-by-step explanation:
From the question we are told that
The capacity of an Airliner is k = 300 passengers
The sample size n = 320 passengers
The probability the a randomly selected passenger shows up on to the airport
[tex]p = 0.96[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]\mu = 320 * 0.96[/tex]
=> [tex]\mu = 307.2[/tex]
Generally the standard deviation is
[tex]\sigma = \sqrt{n * p * (1 -p ) }[/tex]
=> [tex]\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }[/tex]
=> [tex]\sigma =3.50 [/tex]
Applying Normal approximation of binomial distribution
Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as
[tex]P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )[/tex]
Here [tex]\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
=>[tex]P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )[/tex]
Now applying continuity correction we have
[tex]P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > -1.914 )[/tex]
From the z-table
[tex]P(Z > -1.914 ) = 0.97219[/tex]
So
[tex]P(X >300 ) = 0.97219 [/tex]
5/6x-7/6=8 what Is the value of x
Answer:
x=11
Step-by-step explanation:
if you can help i’d appreciate it
Answer:
B- 44
Step-by-step explanation:
87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.
hope this helped! -brooke :))
**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?
estimate 3,156-2,163 by first rounding each number to the nearest hundred
Answer:
3
,
154
,
163
3,154,163
Step-by-step explanation:
Samuel needs to mail a package to his friend in New York. He places an address label with length represented by the function L(w) = 3x³ + 2x² - 4x + 5 and width represented by the function w(x) = x + 2. Which of the following statements is true about the area of the label? Select all that apply.
1. A(x) = L(x) + w(x)
2. The resulting polynomial for a(x) will be a 4th degree polynomial
3. L(x)=A(x) divided by w(x)
4. The resulting polynomial for A(x) will have a leading coefficient of 6
5. A(x) = L(x) * w(x)
I know what the answers are its B,C,D but i need work showing how I got to that conclusion
Answer:b and e
Step-by-step explanation:I took the test
Scientists examined data on mean summer sea‑surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several‑year period at locations in the Red Sea.
Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2 .74 2.52 2.34 2.46 2.31
Required:
Use your calculator to find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y . Then use these basic measures to find the slope and intercept of the least‑squares line for predicting y from x .
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2.74 2.52 2.34 2.46 2.31
Using calculator and treating temperature and growth data as samples :
Temperature :
Mean : ΣX/n
n = sample size
Mean temperature (m) = 211.45 / 7
Mean temperature = 30.21°C
Standard deviation (s) :
Sqrt(Σ(X - m)²/n - 1)
s = 0.403
Growth:
Mean : ΣX/n
n = sample size
Mean growth (m) = 17.38 / 7
Mean growth = 2.483 mm/yr
Standard deviation (s) :
Sqrt(Σ(X - m)²/n - 1)
s = 0.161
Using the correlation Coefficient a calculator : the correlation Coefficient is - 0.6278, This shows that a negative relationship exists between both variables.
The intercept of the graph = 17.812
The slope of the relationship : -0.504
Which statement describes the inverse of m(x) = x^2 – 17x?
a. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
b. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
c. The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
d.The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
Given:
The function is
[tex]m(x)=x^2-17x[/tex]
To find:
The inverse of the given function.
Solution:
We have,
[tex]m(x)=x^2-17x[/tex]
Substitute m(x)=y.
[tex]y=x^2-17x[/tex]
Interchange x and y.
[tex]x=y^2-17y[/tex]
Add square of half of coefficient of y , i.e., [tex]\left(\dfrac{-17}{2}\right)^2[/tex] on both sides,
[tex]x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2[/tex]
[tex]x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2[/tex]
[tex]x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
Taking square root on both sides.
[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}[/tex]
Add [tex]\dfrac{17}{2}[/tex] on both sides.
[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y[/tex]
Substitute [tex]y=m^{-1}(x)[/tex].
[tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex]
We know that, negative term inside the root is not real number. So,
[tex]x+\left(\dfrac{17}{2}\right)^2\geq 0[/tex]
[tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex]
Therefore, the restricted domain is [tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex] and the inverse function is [tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex].
Hence, option D is correct.
Note: In all the options square of [tex]\dfrac{17}{2}[/tex] is missing in restricted domain.
Answer:
C on edu
Step-by-step explanation:
What is the slope of the line whose equation is 12=4x-6y?
Answer:
slope is 2/3
Step-by-step explanation:
12=4x-6y
We add 6y both sides
12+6y=4x
than subtract 12 from both sides
6y=4x-12
than divide both sides by 6
y=2/3x-2
and the slope is 2/3
What is x and y called together in parenthesis?
Answer:
coordinates...
Step-by-step explanation:
x and y in parenthesis looks like: (x,y)
these are called coordinates
pleas help ill give brainiest
Given:
Initial amount in the account = $1,000
Interest rate = 3.25%
Since the type of interest is simple, 3.25 % of 1000 will be added to that account every year with no increase in the incrementing amount
Amount increased in 18 years:
Amount increased every year = 3.25 * 1000 / 100 = $32.5
Amount increased in 18 years = amount gained in 1 year * 18
Amount increased in 18 years = 32.5 * 18 = $585
Total amount in John's bank account at the age of 18:
Initial amount + amount increased in 18 years
1000 + 585
$1,585
if you have a class RIGHT NOW ethier google classroom are zoom let me crash it if yall board
Answer:
i have a class now but i will get in trouble sry
Step-by-step explanation:
Answer:
Meeting ID: 851 5556 0217
Step-by-step explanation:
i hate school proceed as you wish good sir! :)
meeting starts at 11:10 btw
you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.
You may need to delete the comma if you are entering this result into a computer system.
=====================================================
Work Shown:
P = 10,000 = deposit
r = 0.04 = decimal form of 4% interest rate
n = 4 = we're compounding 4 times a year
t = 5 years
-------------
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 10,000*(1+0.04/4)^(4*5)
A = 12,201.9003994797
A = 12,201.90
After 5 years, there is $12,201.90 in the account.
This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.
Kevin was playing a trivia game. For each correct answer he scored 1 1 / 2 points. For each incorrect answer he scored - 1 / 2 point. What was his final score if he got 8 correct and 3 incorrect?
Answer:
42.5
Step-by-step explanation:
Point for correct score = [tex]\frac{11}{2}[/tex] = 5.5
Point for incorrect score = [tex]\frac{1}{2}[/tex] = 0.5
Unknown:
Final score = ?
Solution:
Number of correct score = 8
Points gained = 8 x 5.5 = 44
Number of incorrect score = 3
Points lost = 3 x 0.5 = 1.5
His final score = 44 - 1.5 = 42.5
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwhat is 0/0
is this a keep, change, change?
-9-8
Answer:
Yes, they cancel each other out.
Step-by-step explanation:
Personally never liked the keep, change, change method. Pemdas is what I use, however this is an easy one so nothing so major.
Compare and contrast xy with xy
Answer:
theres positive and negative
Step-by-step explanation:
i think that's what your talking about
Factorise fully
-12a - 16
please do quick, first to answer marked brainiest!!
Answer:
-4( 3a+4)
Step-by-step explanation:
-12a - 16
-4*3a -4*4
Factor out a -4
-4( 3a+4)
A farmer decided to put a fence around his property that measures 170 feet long and 120 feet wide. What is the perimeter of his property?
Answer:
290 ft is the perimeter
Step-by-step explanation:
170+120=290 ft
580 feet.
To find perimeter, you have to add up all the sides, so add length, length, width, and width.
170+ 170+120+120
This gives you 580 ft.
Don't forget the unit!
If this helped, please mark branliest
how many metric tons are in 834.8 mg?
Answer:
8.384
Step-by-step explanation:
Answer:
8.348e-7 metric tons
Step-by-step explanation:
PLEASE ANSWER I HAVE 10 MINUTES!!!
Answer:
1,3,4
Step-by-step explanation: hope this helps you
potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 42 ounces. Here we determine how lucky or unlucky you are. (a) What is the mean potato weight in your bag of 6
If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?
A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c
Answer:
I'm nauseous, I'm dyin'
(She ripped my heart right out)
Can't find her, someone to
(My eyes are all cried out)
Lost it, riots
Gunfire inside my head, I've
Lost it, riots
Gunfire inside my head 78tt566786876
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just took this test
HELP! Will be giving branliest!!!!!!
A is the right anwer to your Question because of the Hours and weeks
montha
28. The driving distance from Boston, MA,
to Colorado Springs, CO, and back again
is 4,084 miles. A salesperson has already
made the trip back and forth twice. A
salesperson may drive up to 12,500 miles
each month. Can she make the trip again
and remain below the monthly miles
allowed? If so, how many miles will she
have left for the month?
Tonic 2 Ilesson 3-8
Answer:
Step-by-step explanation:
Homework Weekend Create a short story.
how many students have used all three modes of transportation? solution please
Complete question is;
In a class of 40 students, 17 have ridden an airplane, 28 have ridden boat, 10 have ridden a train, 12 have ridden an airplane and a boat, 3 have ridden a train only, and 4 have ridden airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three. How many students have used all three modes of transportation?
Answer:
4 students
Step-by-step explanation:
Let the number of students who used airplane be A
Let the number of students who used boat be B
Let the number of students who used train be C
Now, we are told that 17 rode plane.
Thus; A = 17
28 rode boat; B = 28
10 rode train; C = 10
12 rode airplane and boat; A ∩ B = 12
4 rode plane only; A' = 4
3 rode boat only; C' = 3
Total number of students; T = 40
Now, total number of students is represented by;
T = A - B - C - (A ∩ B) - (B ∩ C) - (C ∩ A) + (A ∩ B ∩ C)
We don't have (B ∩ C) and (C ∩ A).
Now, the can be derived from the expression of C' which is;
C' = C - (B ∩ C) - (C ∩ A)
C' = C - [(B ∩ C) + (C ∩ A)]
We are given C' = 3 and C = 10
Thus;
3 = 10 - [(B ∩ C) + (C ∩ A)]
10 - 3 = [(B ∩ C) + (C ∩ A)]
7 = [(B ∩ C) + (C ∩ A)]
Rearranging the total number of students equation, we now have;
T = A - B - C - (A ∩ B) - [(B ∩ C) + (C ∩ A)] + (A ∩ B ∩ C)
Where;
(A ∩ B ∩ C) is the number of students that used all three modes of transportation.
Thus, plugging in the relevant values;
40 = 17 + 28 + 10 - 12 - 7 + (A ∩ B ∩ C)
40 = 36 + (A ∩ B ∩ C)
(A ∩ B ∩ C) = 40 - 36
(A ∩ B ∩ C) = 4
Turn - Find the value of e
(4w - 6)
+
Find the value of each variable
Chantel graphs S and T. The corresponding angles are congruent. The side lengths of T are 5 times as long as the corresponding side lengths of S. Can you give a sequence of transformations that will map S onto T?
Answer:
Turn it by 90 degrees
Step-by-step explanation:
Question is too vague sorry if this doesn't help
Answer:
fernanda i have no idea how to do this
Step-by-step explanation:
In a square, what is the relationship between the length of a side and the area?
A. proportional
B. cannot be determined
c. non proportional
d. ratio
The relationship between the length of a side and the area is non proportional. so option C is correct.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In a square, we need to find the relationship between the length of a side and the area.
The answer is non proportional because the side length is x, so is the other side lengths.
The side lengths are all equal and to find area you do x squared or x times x.
So they are not proportional because there will be different numbers for each.
For example. X= 2, area ( x squared ) is 4.
Hence, The relationship between the length of a side and the area is non proportional. so option C is correct.
More can be learned about proportions at;
brainly.com/question/24372153
#SPJ2
Evaluate the expression
3n - x =
if n = 5 and x = 3
Answer:
12
Step-by-step explanation:
Answer:
she's a 100% correct its 12
Step-by-step explanation:
Give her brainliest!!!!!!
IM NOT GOOD AT MATH PLEASE HELP WITH THESE FEW QUESTIONS ASAP
Answer:
for the first question
solve for t:t= square root of 2da/a (2da over a)
Solve for a : a= 2d/t squared
Solver for d: d=t squared /2(over 2)
Step-by-step explanation: