Answer:
42+1882384/23 √14
Step-by-step explanation:
√56/23 (98^3) +42
42+1882384/23 √14
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 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
.
can someone please help me with this
which quadratic equation has two solutions or zeros
Preform the indicated operation. Be sure the answer is reduced.
Answer:
D. [tex]\frac{2x+1}{x-8}[/tex]
Step-by-step explanation:
[tex]\frac{x+1}{x-8} - \frac{x}{8-x} = \\\\\frac{x+1 + x}{x-8} = \\\\\frac{x+1}{x-8} +\frac{x}{x-8} =\\\\\frac{x+1+x}{x-8} =\\\\\frac{2x+1}{x-8}[/tex]
Correct choice is D
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
ok this is my almost last one
What is the surface area of a die in which each edge has a length of 15 millimeters? (Hint: On a cube, the length, width, and height have the same measure.)
1,350 mm2
450 mm2
180 mm2
1,687.5 mm2
Answer:
A. 1,350 mm 2
Step-by-step explanation:
Graph the equation y=-x^2-12x-35y=−x 2−12x−35 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
please help and explain I'm very confused and I have no idea what to do.
The graph of y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
To graph the equation y=-x^2-12x-35, we can start by finding the x-intercepts (or roots) and the vertex of the parabola.
To find the x-intercepts, we can set y=0 and solve for x:
0 = -x² - 12x - 35
Using the quadratic formula, we get:
x=-b±√b²-4ac/2a
x=12±√144-140/2(-1)
x=12±√144-140/(-2)
x=12±2/(-2)
The x-intercepts are approximately x=-7 and x=-5
To find the vertex, we can use the formula x=-b/2a to get the x-coordinate, and then substitute it into the equation to get the y-coordinate:
x = -b / 2a = -(-12) / 2(-1) = 6
y = -x² - 12x - 35 = -(6)^2 - 12(6) - 35 = -107
So the vertex is at (6, -107).
Hence, the graph of y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ2
add all these numbers together im too lazy to
Answer:
874
Step-by-step explanation:
702 is correct
quick mathz
25 POINTS GUYS PLEASE HELP ME WITH THIS QUESTION
WHAT IS 1+1
Answer:
2
Step-by-step explanation:
1 + 1 = 2
Answer:
the answer is 2
Step-by-step explanation:
1+1=2
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
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
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.
Please answer all of them! SHOW WORK!!
PLLZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPP PLZZZZZZZZZZZZZZZZZZZZZ
Answer: your answer is C. there is no common factor between 6 and 15.
Answer:
the answer is D 9w=21
how
21/9 = 2.3333333333
Step-by-step explanation:
Nicole runs 6 miles in 45 minutes. At the same rate, how many minutes would she take to run 4 miles?
Answer:
30 minutes
Step-by-step explanation:
6=45
4=x
6x2/3=4
45x2/3=30
x=30
Answer:
66 minutes
Step-by-step explanation:
what is the perimeter of the triangle. i do not know how to start this problem. any help will be greatly appreciated :))
Given:
Point F,G,H are midpoints of the sides of the triangle CDE.
[tex]FG=9,GH=7,CD=24[/tex]
To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}DE=FG[/tex]
[tex]DE=2(FG)[/tex]
[tex]DE=2(9)[/tex]
[tex]DE=18[/tex]
GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}CE=GH[/tex]
[tex]CE=2(GH)[/tex]
[tex]CE=2(7)[/tex]
[tex]CE=14[/tex]
Now, the perimeter of the triangle CDE is:
[tex]Perimeter=CD+DE+CE[/tex]
[tex]Perimeter=24+18+14[/tex]
[tex]Perimeter=56[/tex]
Therefore, the perimeter of the triangle CDE is 56 units.
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!!
URGENT PLEASE GET THIS QUICKLY PLEASE
If f(x)= 2x+7, find f(2)=
Answer:
21
Step-by-step explanation:
2(2) +7
14+7
21
Answer:
11
Step-by-step explanation:
area of a regular hexagon with an apothem of 15 cm
Answer:
area = 779.4 cm²
Step-by-step explanation:
divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.
tan 60° = 15/x
1.7321 = 15/x
x = 8.66 (this is one-half of the base of the triangle)
base = 17.32 cm
area of one triangle = 1/2(17.32)(15) = 129.9 cm²
129.9(6) = 779.4 cm² (because 6 triangles make up the hexagon)
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 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:
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.
write an EQUATION that represents what is seen in the figure and then find the value of x.
Samantha invited 30 friend to her birthday party. If 2 out of 3 friend invited came to the birthday party, how many friends came?
HELP ME PLEASE!!!!!
Answer:
20 people
Step-by-step explanation:
Theo has x beach toys. He shares them with 6 other friends. Each of them got 4 beach toys. Find x. Show all work
Answer:
24 beach toys
Step-by-step explanation:
We don't know how many beach toys Theo has, but we know that 6 of his friends each got 4 toys. The equation could be set up as x/6 = y, where x is equal to the total amount of toys Theo had, and y is equal to the amount of toys each friend received. We know that y = 4, so now you could say x/6 = 4, and now using opposite operations, 6 × 4 = 24, hence Theo had 24 toys.
Hope this helps!!
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:
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
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 .
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