Answer:
are u kidding me it's literally D --_--
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.
The graph of f(x) = -2^2 was transformed to create g(x) = -(x+3)^2. Which of these describes the transformation from the graph of f to the graph of g
b) 1325 + 13 long division
Answer:
1325 divided by 13 is 101.92 rounded to the nearest hundredth
Step-by-step explanation:
I'm not sure what the question is asking though.
can someone please help me with this
which quadratic equation has two solutions or zeros
please help!! this is due today!! (number 5)
hello, and good morning,
help me plz with.....
what´s √1000×1000=
Answer:
[tex]\sqrt{1000\times 1000}[/tex]
[tex]=\sqrt{1000^2}[/tex]
[tex]=1000[/tex]
-------------------------
Thanks!
Have a great day!!
A stepladder has an angle of elevation of 60° with the front of the house. The length of the stepladder is 24 feet. At what height does the stepladder meet the house?
Answer:
20.78 feets
Step-by-step explanation:
Based on the solution diagram attached below :
The height at which the step ladder meets the house can be obtained thus :
Using trigonometry :
Sin θ = opposite / hypotenus
Sin θ = h / 24
Sin 60 = h / 24
0.8660254 = h/24
Height, h = 0.8660254 * 24
Height, h = 20.78 feets
What is the formula for the volume of a cone? (Use the word Pi instead of the symbol)
Answer:
(1/3) Pi r^2 h
Step-by-step explanation:
The volume of a cone (or pyramid, for that matter) is 1/3 the area of the base times the height.
Cones have bases that are circles, so their areas are Pi r^2, usually written [tex]\pi r^2[/tex], Pi times the radius squared.
[tex]V=\frac{1}{3}\pi r^2h[/tex]
The answer of the question
Answer:
123cm
Step-by-step explanation:
becuse
The area sector of a circle with radius 7 is 9 π/. What is the radian measure θ, the central angle of the sector? Express your answer in exact form.
Answer:
Radian angle = 1.154
Central angle = 66.123°
Step-by-step explanation:
Area of Sector, A
A = 1/2 * r² * θ ; θ measured in radian
A = 9 π
r = 7
9 π = 1/2 * 7² * θ
9 π = 24.5θ
θ = 9 π / 24.5
θ = 1.154 radian
1 radian = 57.296°
1.154 radian = (57.296 * 1.154)
1.154 radian = 66.123°
Nancy has to find the reflection of a point across both the x- and the y-axes. Using what you've learned so far about reflections across the x-axis and reflections across the y-axis, can you come up with a rule for what happens to the signs when you reflect a point across both axes?
Answer:
Step-by-step explanation:
All she needs to know is that a reflection across the x-axis is when the x coordinate stays the same and the y-coordinates change.
Hope this helped.
Answer:
To find the reflection of a point across the x-axis and the y-axis, change the signs of both the x-coordinate and the y-coordinate.
Step-by-step explanation:
!!edmentum answer!!
please please please help me do not get this
Answer:
4
Step-by-step explanation:
The perimeter of a rectangular horse pasture is
38 meters. The length is 5 meters more than its
width. What is the width of the pasture?
Answer:
W = 7
Step-by-step explanation:
PLZ HELP DUE TODAY NO LINKS I WILL REPORT!!!
Answer:
452.16 in^2
Step-by-step explanation:
multiply 12 times 12
then multiply that number by Pi(3.14)
[tex]=59(F−32)[/tex]
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59
A degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
Think of the equation as an equation for a line y = m x + b where in this case C = 5 9 ( F − 32 ) or C = 5 9 F − 5 9 ( 32 ) You can see the slope of the graph is 5 9 , which means that for an increase of 1 degree Fahrenheit, the increase is 5 9 of 1 degree Celsius. C = 5 9 ( F ) C = 5 9 ( 1 ) = 5 9 Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9 5 degrees Fahrenheit. C = 5 9 ( F ) 1 = 5 9 ( F ) ( F ) = 9 5 Since 9 5 = 1.8, statement II is true. The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5 9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true: C = 5 9 ( F ) C = 5 9 ( 5 9 ) C = 25 81 ( which is ≠ 1 ) An increase of 5 9 degree Fahrenheit leads to an increase of 25 81 , not 1 degree, Celsius, and so Statement III is not true. The final answer is D.
The vertices of AABC have coordinates A(-2, -1), B (10,-1), C (4,4). State the
area of AABC.
HELP ASAP
Answer:30
Step-by-step explanation:
Rectangle ABCD has vertex coordinates A(1, -2), B(4,-2),
C(4,-4), and D(1,-4). It is translated 1 unit to the left and 3
units up. What are the coordinates of A?
O A. (0,1)
O B. (2,-5)
O C. (4, -3)
O D. (-2,-1)
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Locus of a shape.
Here, the left movement is in x direction and vertical or up movement is in the y direction.
so we get as,
A(1,-2) ==> 1 towards left => 0
and 3 units up => 1
hence the new co-ordinates are A(0,1)
hence, A(0,1) is correct option
Is this a function? Why or why not?
11.68 - 0.48 ÷ (-1.6) =
need help I need a way to solve this problem
Step-by-step explanation:
11.68-0.48
= 11.20
11.20÷1.6
= 7.0 or 7
ahh this is the correct answer.
so if it helps don't forget to like and Mark me.
Please answer all of them! SHOW WORK!!
A running track has a straight stretch that measures 200m at the ends there are
semicircles with a radius of 16m. What is the distance of the running track?
Answer:
300.57 m
Step-by-step explanation:
The line plot below shows the lengths of bolts Mr. Slivka found in his drawer.
He needs 16 bolts that are longer than 1 inch for a project he is working on.
Does he have enough bolts for his project?
A line plot named
A.
Yes. There are 16 bolts that have lengths greater than 1 inch, which is just enough.
B.
Yes. There are 18 bolts that have lengths greater than 1 inch, which is more than enough.
C.
No. There are only 3 bolts with lengths greater than 1 inch, which is not enough.
D.
No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Answer:
D.)
No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Step-by-step explanation:
Based on information provided by the dot plot above, we can deduce that the number of bta longer Than 1 inch are those with length ; 1 1/8, 1 3/8, 1 4/8
Counting the number of these bolts :
1 1/8 = 5 bolts
1 3/8 = 3 bolts
1 4/8 = 4 bolts
Hence, total number of bolts longer Than 1 inch :
(5 + 3 + 4). = 12 bolts
The number of bolts longer than 1 inch is 16. Therefore, he does not have enough bolt for the project.
to classify
ons.
Classify the system of equations.
– x=2-y
1 + y = 3x + 0
Click on the correct answer.
in slope-
intersecting
y-intersects.
2
parallel
coincident
Answer:
The system of linear equations consist of parallel lines
Step-by-step explanation:
Here, we want to classify the system of linear equations
Firstly, let us write both in the standard forms
For the first;
y = 3x + 2
For the second;
y = 3x-1
The general form of a linear equation is;
y = mx + b
where m is the slope and b is the y-intercept
In both cases, m = 3 and that means the slope is the same
When two lines have same slope values, they are said to be parallel to each other
OK you look like your going through a tuff time, the cold harden truth is that you have no choice but to live with it. Listen closely life is not all about being with somebody you have to work hard for your goals. God gave you a road to walk down, Not for somebody else to walk down with you therefore YOU walk down that road and that road has alot of choices all the way to a through z.. You choice your choices in life no buddy else. Its all on you. somebody wants to break up with you then let it be THEY walked out the door before the party had started not you. You live your own life and dont let anybody tell you other wise. Have a good day its you choice not anybody elses be wise with you choices tho it will effect your future and ppl around you. (:
Im finna get band after this lol
Answer:
ok
Step-by-step explanation:
The blue figure is a dilation of the red figure. Identify the type of dilation and find the scale factor.
The dilation is
an enlargement
.
Question 2
The scale factor is
.
PLZ HELP!!!!!!! AND NO LINKS
Answer:
A
Step-by-step explanation:
Acids turn litmus paper red. The characters of acids are given by substance A. An acid tastes sour and also conducts electricity well because of ionization properties. Additionally, Hydrogen gas is produced from acid-base neutralizations because most if not all acids contain hydrogen.
find the measure of the angle
Answer:
95
Step-by-step explanation:
Answer:
95°
Step-by-step explanation:
it is five away from 90° so 95°
Give Brainllest plz
All of my points to these "simple" questions
Answer:
x = 66°
∠MON = 57°
x = 13°
Step-by-step explanation:
To tired to explain, just take my word for it...
Answer:
1.
X=66
2.
57
3.
13
Step-by-step explanation:
Good luck .
add all these numbers together im too lazy to
Answer:
874
Step-by-step explanation:
702 is correct
quick mathz
Mrs. Ortiz measured the outside temperature at noon as -2°F. Later that
day, she measured the temperature as -5°F. Write an inequality that
correctly compares -2 and -5. Then explain the meaning of the inequality
for the situation. 6.NS.7, 6.NS.7b
Answer:
-2°F>-5°F
Step-by-step explanation:
-2°F is greater than -5°F
This also means the first time Mrs. Ortiz measured the outside tempurature it was hotter than the second time she measured it.
