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.
6. Which equation expresses the relationship between x and y, as shown in the accompanying table?
Answer:
Husband and Ok kl long paragraph is 22nd up fpr and family at home too young for me as a nd ur behaving this way if this how u is is
PLEASEEEEE HELP ME......
Answer:
B makes the most sense.
Step-by-step explanation:
The others make little to no sense.
Answer:
B is the correct answer. it makes sense
A small measuring spoon holds 5 milliliters. How many spoons would 1 liter of liquid fill?
===================================================
Work Shown:
1 liter = 1000 milliliters
1 spoon = 5 milliliters
200*(1 spoon) = 200*(5 milliliters)
200 spoons = 1000 milliliters
200 spoons = 1 liter
Notice how 1000/5 = 200, so that's why I multiplied both sides of the second equation by 200 to end up with what is shown above.
Brainly Reward (mathematics)
Answer:
1: 45
2: 32
3: 35
4: 32
Step-by-step explanation:
when finding the area of a trapezium you can also just split the rectangle and triangle to have 2 different areas then combine to have the same area. but also this would be more difficult if you needed to separate the trapezium into more than 3 shapes.
so if there is like a trapezoid that you split and there is a rectangle and 2 triangles it is harder than doing the formula.
so use the formula sometimes too if it is easier.
Answer:
1 would be 45, 2 would be 32, 3 would be 35, 4 would be 32
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 4
Step-by-step explanation:
Using the sine or cosine ratio.
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2}{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
x = 4
Hep yep help helphelp
Answer:
pretty sure it's A
Step-by-step explanation:
cuz a common factor of 9 and 10 is 90 do the calculations and it should be simple.
You have the letters in the word "SCIENTIST." What is the probability that you pick a vowel,do not replace it,and then pick "T"?
Answer:
1/12
Step-by-step explanation:
Total choices = 9, vowels = I, E, I = 3
Hence, P (vowel) = 3/9 = 1/3
Since you do not replace it, new total = 8 and number of Ts = 2
Hence, P (T) = 2/8 = 1/4
As these events are dependent and T is picked after vowel,
total probability = 1/3 x 1/4 = 1/12
.Simon makes a profit of $1.35 on each hot dog he sells. If a hot dog costs him $0.85 to make, how much does Simon sell for each hot dog?
Answer:
2.2 $
Step-by-step explanation:
profit= 1.35 $
cost= 0.85 $
Price= profit+cost
P=1.35+0.85
P=2.2 $
Find the distance between the two numbers on a number line. Write your answer as a decimal.
2.491, -3.065
Answer:
-0.574
Step-by-step explanation:
Subtract the two numbers to get the solution
What is 4592 rounded to the nearest hundreds
Answer:
4600 is the answer to this
Simplify.
12k - 6 + (3k)(4)
24 k + 6
-6
24 k - 6
6
Answer:
24k-6
Step-by-step explanation:
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
Use the figure to find the measures of the numbered angles.
1 = 61° because it is a corresponding angle to angle 6
2 = 119° because it is an alternate exterior angle to angle 7
3 = 61° because it is an alternate angle to angle 1
4 = 119° because it is an alternate angle to angle 2
5 = 119° because it is an alternate angle to angle 7
6 = 61° because is is an alternate angle to 61°
7 = 119° because it and 61° are supplementary angles (total 180° together)
Answer:
1 = 61° because it is a corresponding angle to angle 6
2 = 119° because it is an alternate exterior angle to angle 7
3 = 61° because it is an alternate angle to angle 1
4 = 119° because it is an alternate angle to angle 2
5 = 119° because it is an alternate angle to angle 7
6 = 61° because is is an alternate angle to 61°
7 = 119° because it and 61° are supplementary angles (total 180° together)
Step-by-step explanation:
Please answer this fill it to least to greatest
Answer:
7, 7 1/8, 7 3/8, 7 5/8, 7 3/4, 8, 8 1/4, 8 1/2, 8 7/8
Step-by-step explain:
7 is the smallest number in the given numbers. 7 1/8 is the second smallest because 1/8 is smaller than 1/4. You can also think of it like you have a pizza/pie/cake and 1/8 of that cake is 1 piece of the cake that has 8 pieces in total. 1/4 on the other hand is a bigger piece. You can use this information to figure out future problems. 1/4 is the same as 2/8. In other words, 1/4 is equal to 2 slices of pie/cake/pizza/whatever you want it to be because if you take a cake, cut it into 4 pieces, then cut the 4 pieces in half. You will get 8 pieces.
I need this in 5 min plsss
Answer:
x=8
Step-by-step explanation:
Use the equal angle theorem so 3x+18=39. This equals 8 which is our answer.
By the way, can you follow me on Brainly?
Thanks!
3 + 2a - 7x + 2.5 + 5x
help pls and thank u
Answer:
2 a − 2 x + 5.5
Step-by-step explanation:
Answer:
5.5+2a_2x
Step-by-step explanation:
we add the numbers 3+2.5
Find the area of each sector. Round your answer to nearest tenth
Answer:
area of 150° segment = 188.5 km²
Step-by-step explanation:
area of full circle = πr² = (3.14)(12²) = 452.16 km²
area of segment = (150°/360°)(452.16) = 188.5 km²
the area of each sector is C
Please help me I’m struggling
Answer:
i think it's a
hope this helps :)
Write a fraction to represent the probability of rolling a two.
Answer:
1/36
Step-by-step explanation:
hope this helps:0
Answer:
1/6
Step-by-step explanation:
with a six sided dice a possible outcome writing a two out of six is one
What is the M? Will mark brainlist if correct
What is the value of -|24|?
Answer:
-24
Step-by-step explanation:
because of the absolute value bar, it makes it positive, but with the NEGATIVE on the OUTSIDE of the Bars.
HELPPP ASAP 10 POINTS
Answer:
circumference = 25.43 in
Step-by-step explanation:
circumference = πd
circumference = (3.14)(8.1) = 25.43 in
3. The function f(x) = -3.5x + 45;
0
rectangle in terms of its width,
x. Find the area of the rectangle
when its width is 9.5 units.
The equation of the line with slope 4 and y -intercept 4 can be written in the form y = m x + b where the number m is: the number b is:
Answer: [tex]m:4; \ b=4[/tex]
Step-by-step explanation:
Given
Slope is 4
Y-intercept is 4
For the slope-intercept form of line i.e. [tex]y=mx+b[/tex]
[tex]m=\text{slope of line}\\b=\text{Y-intercept of the line}[/tex]
So, we can write
[tex]y=4x+4[/tex]
[tex]m:4; \ b=4[/tex]
Question 1
Form the largest 5-digit number using the digits 9, 2,5, 4, 7 only once
a. 97542
b. 97524
c. 97425
d. 24579
Answer:
97542
Step-by-step explanation:
Write all the numbers in descending order
hope it helps
Answer: 97542
Step-by-step explanation: go in order of largest to smallest number as starting with a bigger number will let you end with a bigger number
Which choice is equivalent to the product below?
√3x√5x√6
O A. 3√10
O B. 9√10
O C. 3√5
O D. 10√3
Answer:
D....................
How many 3 digit numerical passwords are there if a digit can be repeated?
Any math experts can help please and thank you
Answer:
QUESTION:
How many 3 digit numerical passwords are there if a digit can be repeated?
ANSWER:
The first digit of the password can be any of the ten digits - 10 possibilities.
A digit cannot be repeated, so the second digit can be any digit except the one you chose for the first digit - 9 possibilities.
The third digit can be any digit except the digits you chose for the first and second digit - 8 possibilities.
Using the rule of product:
10 X 9 X 8 = 720
There are 720 passwords.
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Answer:
1000?
Step-by-step explanation:
The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the sphere?
Answer:
Radius of the sphere = r
Volume of sphere:
V₁ = 4/3×πr³Radius of the hemisphere = 2r
Volume of the hemisphere:
V₂ = 1/2×4/3×π(2r)³ = 1/2×8×4/3πr³ = 4V₁The volume of the hemisphere is 4 times greater than the volume of the sphere
Which function's graph is shown below?
O A. y=-sin x
O B. y= -c0s X
O C. y = cos x
O D. y = sin x
Answer:
The function's graph shown is C. y = cos x
Step-by-step explanation:
hope it helps...
have a great day!!
Find the y-coordinate and the gradient at the points on the following curve corresponding to the given value of x:
1) 3x^2-2x^3, x = -2