Answer:
2.232
Mark me as brainlest, please?
Step-by-step explanation:
The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. (a) What is the probability that more than three aircraft arrive within an hour? (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals?(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.10.
Answer:
(a) The probability that more than three arrive in one hour is approximately 0.018988
(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264
(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours
Step-by-step explanation:
The distribution of the arrival time of a small aircraft = Exponential distribution
The mean arrival time, μ = 1 hour
The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)
The mean, μ = 1/λ
∴ 1 = 1/λ
λ = 1 hour
∴ For the exponential distribution, f(x) = 1·e^(-x)
(a) The Poisson probability is given as follows;
[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]
The probability for more than 3 is given as follows;
[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]
(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264
(c) When the probability that no arrival occurs is 0.1, we have;
0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)
-x·ln(e) = ln(0.1)
∴ x = -㏑(0.1) ≈ 2.30259
The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.
Help me pleaseee!! I’ll mark
Answer:
esarespuesta ad 56
Step-by-step explanation:
A survey found that 68% of book buyers are 40 years old or older. If two book buyers are selected at random, what is the probability that both are 40 years old or older?
Answer:
15%
Step-by-step explanation:
there are 9 rows of tomato plants with 205 plants in each row. How many tomato plants are there in all?
Answer:
1 row = 205plants
9*205=1845plants
Therfore 1845 plants are there in 9 rows of tomato.
Step-by-step explanation:
Please mark as brainliest.
Lucy purchase a swimsuit and a towel. The towel represent 30% of the total cost. If she spent $15.00 on the towel, then what was her purchase total
Answer:
$50
Step-by-step explanation:
Given data
Let the total purchase be x
Hence 30% of x is $15
Let us find the value of x
30/100*x= 15
0.3*x=15
0.3x=15
x= 15/0.3
x= $50
Hence the purchase is $50
Answer:
$50 is the total
Step-by-step explanation:
30% over 100% = 15 over x
then you cross multiply and get:
30x = 1500
you then divide both sides by 30
30 and 30 cross out
1500 ÷ 30 = $50
I need an answer! NO LINKS PLS! il give brainlist
Answer:
Step-by-step explanation:
The probability of being assigned a locker next to a classroom door is 11%. What is the probability of not getting a locker next to a classroom door.
Answer:
0.7921%
Step-by-step explanation:
89/100×89/100
Dilation of 2 about the origin
Answer:
I am pretty positive that this means that you increase the size of the shape by 2 blocks on the grid format.
Step-by-step explanation:
Meaning...
shift ∠U 2 blocks to the left on the x-axis
shift ∠V 2 blocks vertically (up) on the y-axis
shift ∠W 2 blocks diagonally to the right
I really hope this helps! I pray this is correct for your sake!
What is the name of this circle?
number 1 is the answer circle FA
please help beacsue i need to get 67 since im grounded and need good grades
[tex] \frac{4}{5} \times 10 = (\frac{4}{5}) (\frac{10}{1} ) = \frac{(4)(10)}{(5)(1)} = \frac{40}{5} = 8[/tex]
Whats the slope using rise/run?
thank you
Answer:
answer is 7
Step-by-step explanation:
one point is at (1,3) and the other at (0,-4)
to get slope y2-y1 / x2-x1
so -4-3 / 0-1
-7/-1
so answer is 7
Easy math question hurry up pls it 20 points
Answer and Step-by-step explanation:
1.
c(1) = -0.6
c(n) = c(n - 1) × -5
Those are the answers.
#teamtrees #PAW (Plant And Water)
WILL GIVE BRAINLIEST IF BOTH QUESTIONS ARE CORRECT!!!
Answer:
69824.21
¯\_(ツ)_/¯
\\ Λ_Λ This is Memecat. Help
\( 'ㅅ' ) memecat take over
> ⌒ヽBRAINLY by pasting her
/ へ\ in 999 other servers
/ / \\ or she will never
レ ノ ヽつ be a meme
/ /
/ /|
(=✪ᆽ✪=)
o(*≧□≦)o
Step-by-step explanation:
Help me solve this please.
The answer would be D.) 29.8 units
Hope this helps have a great day :)
Simplify completely.
(2 + 3i) + (-4+i)
Answer:
-2+4i
Step-by-step explanation:
Simplify by combining the real and imaginary parts of each expression.
The simplified form of the complex expression is -2 + 4i.
What are Complex Numbers?Complex numbers are numbers which are of the form [tex]a+ib[/tex],
where a and b are real numbers and i is the imaginary number called iota whose value is [tex]i^{2}[/tex] = -1.
Given expression is (2 + 3i) + (-4 + i).
Addition of complex numbers is defined as,
(a + ib) + (a' + ib') = (a + a') + i(b + b')
Using the definition of addition of complex numbers, given expression can be added as,
(2 + 3i) + (-4 + i) = (2 + -4) + i(3 + 1) = -2 + 4i
Hence the resulting value is -2 + 4i.
To learn more about Complex Numbers, click on the link given below :
https://brainly.com/question/28007020
#SPJ2
Find the volume of the cylinder. Round your answer to the nearest tenth.
12 in.
10 in.
Answer: this is your answer 4523.9
Step-by-step explanation:
(HELP MEH FOR BRAINLY! ITS ONLY MULTIPLE CHOICE YALL)
Answer:
option (1)
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
Question 6 of 25
Julie ran for 21.8 seconds. Which statement is not true?
A. Julie's time was more than 21 seconds, but less than 22 seconds.
B. All of these statements are true.
C. The 21 represents whole seconds. The 8 represents part of a
second.
D. The 8 represents more time than the 2.
SUS
Whick statement is not true
Answer:
b and d are the answers!
Step-by-step explanation:
Help me please ASAP please
Answer:
2 x 4=
Step-by-step explanation:
2 x 4 and then no loops 6/8=0.75
Answer: 0.982
Heres why: Если вы мертвы задницу перевел это, чем я сожалею об этом. Это шутка, и, честно говоря, я не имею чертовски понятия, что ответ
A new watch costs $38.85, and a new bracelet costs $22.38. If Maddy buys both, how much does she spend? no photo links cus its a write prob
Answer:
$61.23
Step-by-step explanation:
Find how much she will spend by adding the costs together
38.85 + 22.38
= 61.23
So, if she buys both, she will spend $61.23
Answer:
[tex] \bf \huge 61.25[/tex]
Step-by-step explanation:
Given that :A new watch costs $38.85a new bracelet costs $22.38to find :If Maddy buys both, how much does she spend ?explanation :we have,
watch cost = $ 38•85bracelet cost = $ 22•38finding the cost of how much maddy spend for watch and bracelet
⟼ watch cost = $ 38•85
⟼ bracelet cost = $ 22•38
⟼ for finding the both cost add watch and bracelet cost
⟼ $ 38•85 + 22•38
⟼ $ 61•23
∴ maddy cost $ 61•23 for buys both.
The scale of map is 1cm : 70km. What is the actual distance between towns that are 5cm apart on the map
Answer: 350km
Step-by-step explanation:
Since we are informed that the scale of map is 1cm : 70km. Therefore, the actual distance between towns that are 5cm apart on the map will be:
= 5 × 70km
= 350km
Therefore, the answer is 350km
How do I solve X/12+1/3=-5/3
Answer:
16
Step-by-step explanation:
x/12=5/3-1/3
x/12=4/3
3x=12×4
3x=48
x=16
Answer is in the picture attached
help!!! (Brainlist!!!!!)
Answer:
Its A
Step-by-step explanation:
Evaluate 2^3x-1 for x = 1.
Answer:
4
Step-by-step explanation:
Answer:
this don't make any sense bro
Step-by-step explanation:
what is the number in between 2 3
Which of these expressions would be the best estimate of the quotient 15 1/2 ÷ 3 2/3?
A. 15÷3
B. 15÷4
C. 16÷3
D. 16÷4
Answer:
D
Step-by-step explanation:
Because 15 1/2 ÷ 3 2/3 equals 4.22727272727 and 15 divided by 3 is 5, 15 divided b 4 = 3.75 16 divided by 3 is 5.33333333333 and 16 divided by 4 equals 4 so thats the closest answer
Hope this helps
A politician running for office called random phone numbers to see what proportion of the vote he could anticipate getting. From his sample of responses, he estimated that he would get 47% ± 4% of the vote with 90% confidence. When calling, some people refused to answer his question about whether they plan to vote for him, some people never answered the phone (even after repeated calls), some people do not have landlines (or are unlisted), some people may not have told the truth since the politician himself talked to them, and some were not sure yet whom they plan to vote for.
What biases are present that cannot be accounted for through margin of error? Check all that apply.
voluntary response bias
undercoverage
response bias
nonresponse bias
sampling variation
Answer:
It’s B, C, D
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
8(a+5)=8•a+8•5
___. ___
= |_?_|a + |_?_|
Answer:
|8|a + |35| or = |-8|a+|-35_|
Step-by-step explanation:
8(a+5)=8•a+8•5
=8a+35
= |8|a + |35| or = |-8|a+|-35_|
If Debbie starts a retirement account with $100 that has an annual rate of return of 8%, how long (in years) would it take for her to
have at least $100,000 if interest is compounded continuously?
A) 1 year
B) 8 years
C) 87 years
D) 90 years
Answer:
C.) 87 years
Step-by-step explanation:
I've taken the test! Hope this helps! ;)
The number of years for her to have at least $100,000 if interest is compounded continuously is 90
How to determine the number of years?The given parameters are:
Amount, A = 100,000
Principal, P = 100
Rate, r = 8%
Amount is calculated using:
A = P * (1 + r)^t
So, we have:
100000 = 100 * (1 + 8%)^t
Divide by 100
1000 = (1 + 8%)^t
Evaluate the sum
1000 = 1.08^t
Take the logarithm of both sides
log(1000) = log(1.08)^t
Apply the law of logarithm
log(1000) = tlog(1.08)
Solve for t
t = log(1000)/log(1.08)
Divide
t = 89.7
Approximate
t = 90
Hence, the number of years is 90
Read more about compound interest at:
https://brainly.com/question/2455673
QUESTION 10 of 10: Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month. If each
screen press can handle 500 shirts per day, about how many presses do you need?
a) 2
b) 3
c) 4
od) 5
ОООО
There are 4 presses we need.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.
And, Each screen press can handle 500 shirts per day.
Now,
Since, In a month there are 30 days.
And, Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.
Hence, Number of shirts need to press per day = 60,000 / 30
= 2,000
Since, Each screen press can handle 500 shirts per day.
Hence, Number of press for 2,000 shirts = 2,000 / 500
= 4
Thus, There are 4 presses we need.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6