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.
Which of the following is a correct interpretation of the expression - 6 + 9?
Answer:
It’s basically 3.
Step-by-step explanation:
Just subtract 9 - 6 which gets you a 3 since there’s a negative sign.
Of the last 18 trains to pull into Castroville Station, 12 were full. Considering this data, how many of the next 12 trains would you expect to be full?
Answer:8
Step-by-step explanation:
There are 12 of the next 12 trains would expect to be full.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
Based on the information provided, it seems that 12 out of the last 18 trains to pull into Castroville Station were full, which is a proportion of 12/18 or 2/3.
Therefore, if the same proportion of full trains holds in the future, one would expect 2/3 or 8 of the next 12 trains to be full.
This prediction is based on the assumption that the proportion of full trains remains constant.
Thus, there are 12 of the next 12 trains would expect to be full.
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If eight people share some pizza and get three slices each, how many slices would six people get ?
Answer:
18
Step-by-step explanation:
You can forget about how many people their our in whole and focus on 6 x the amount they get, which is 3.
Answer:
4
Step-by-step explanation:
8*3=24 so there are 24 slices
24/6=4
so 6 people get 4 slices each
for brainiest:):):):):):):):)
Answer:
3. 6 ft
4. 60 ft
5. 0.2 m
6.24 in
Step-by-step explanation:
Part A
The table shows the lengths of rope that the members of an outdoor club bring on a camping trip. Multiply each length of rope in the table below by its frequency.
Drag the tiles to complete the table. The first one is done as an example. Each tile may be used once, more than once, or not at all.
Part B
Find the total length of rope that is brought on the trip.
A.25 3/4 yards
B.29 3/4 yards
C.33 3/4 yards
D.37 3/4 yards
Answer:
Part A 1 1/4 x 3 =3 3/4
1 1/2 x 8 = 12
1 3/4 x 4 = 7
2 1/2 x 6 = 15
Part B D.37 3/4
Step-by-step explanation:
Hopes this helps!
The total length of rope that is brought on the trip would be the mixed fraction of 37 3/4.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
There are different types of fractions such as proper, mixed, and improper fractions.
Part A
Multiply each length of rope in the table below by its frequency.
We get,
1 1/4 x 3 =3 3/4
1 1/2 x 8 = 12
1 3/4 x 4 = 7
2 1/2 x 6 = 15
Part B
The total length of rope that is brought on the trip
= 3 3/4 + 12 + 7 + 15
= 37 3/4
Learn more about fractions;
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The rectangular top of Kathleen's desk has a length of 24 inches and a width of 17 inches. What is the area of the top of Kathleen's desk in square inches?
Answer:
408 square inches
Step-by-step explanation:
The top of the desk is Rectangular.
The area of a rectangle = Length × Width
Length = 24 inches
Width = 17 inches
Area of the rectangular top = 24 inches × 17 inches
= 408 square inches
Therefore, the area of the top of Kathleen's desk in square inches is 408 square inches
Find the 15th term of the arithmetic sequence x + 3, – X – 1, -3x – 5,...
Answer:
-53-27x
Step-by-step explanation:
Answer attached...
Hope it helps :)
Deluxe limousine service charges $2 for the initial pickup of the passenger and then $1 per mile
Can somebody plz help me out:)))
Answer:28 possibly? I know that you connect it with the angles use across from the angle I hope I helped a little
Step-by-step explanation:
Answer:
Sin 30°
= 0.5 appromaxit
28. Find the median of the following marks:
2, 4, 10, 3, 6, 12
A. 4 B. 5 C. 6 D. 10
pls show working
Answer:
B
Step-by-step explanation:
put in order from least to greatest
2,3,4,5,6,10,12
median is just another word for middle
In a survey taken 6/10 of students chose to attend in person learning on Mondays. 3/10 of students chose Tuesdays. How many students chose Monday or Tuesday?
Answer:
9/10 students chose Monday or Tuesday.
or
90% of students chose Monday or Tuesday
Explanation:
We add both fractions 6/10 + 3/10 which equals 9/10
What is your fav? Look down
Help help help help
Number 1 and 2 in the next q
Answer:
either 81 or 162
Step-by-step explanation:
I got 81 by 27×12
162=27×12×2
Sia sells large candles for $3 each and small candles for $2 each. She sold 17 candles for $46.00. How many of each size candle did she sell? 4 small and 13 large candles 5 small and 12 large candles 12 small and 5 large candles 13 small and 4 large candles
Answer:
The number of large size candles sells are 12 and the number of small size candles are 5 .
Step-by-step explanation:
As given Sia sells large candles for $3 each and small candles for $2 each.She sold 17 candles for $46.00.Let us assume that the large size candle sells are x .Let us assume that the small size candle sells are y. Equation becomes
x + y = 17
3x + 2y = 46
Multiply x + y = 17 by 3 and subtracted from 3x + 2y = 46 .
3x - 3x + 2y - 3y = 46 - 51
-y = - 5
y = 5
Put in the equation x + y = 17 .
x + 5 = 17
x = 17 - 5
x = 12
Therefore the number of large size candles sells are 12 and the number of small size candles are 5
can someone help me with this question
which are the following statements is 6×7 = 42
Answer:
A and B are both correct
Step-by-step explanation:
the definitions of the following words are:
factor- a number or quantity that when multiplied with another produces a given number or expression.
multiple- a number that can be divided by another number without a remainder.
6 multiplied with 7 equals 42
42 divided by 7 equals 6
another way of phrasing it:
7 and 6 are factors of 42
and
42 is a multiple of both 7 and 6
hope this helped!
Answer:
42 is a multiple of 7.
6 is a factor of 42
Step-by-step explanation:
Solve 4(9)^x =2,916 , for x
solve the inequality
3y-15>6
show your work
Answer:
y>7
Step-by-step explanation:
3y-15>6
Add 15 to both sides
3y-15+15>6+15
Simplify;
3y>21
Divide both sides by 3
3y/3>21/3
Simplify;
y>7
Answered by NONE other than then ONE and ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!!
What is the value of x in the figure?
60°
(2x)
Answer:
The term X is a variable that takes the place of any number. ... Similarly 2 multiplied by X results to X plus X which means a number added to itself since multiplication is a repeated addition. So 2X = 2 * X = X + X = 2X.
Step-by-step explanation:
can i have brainliest
Answer:
x=30
Step-by-step explanation:
Since both of the acute angles have around or similar degrees, they will be the same. But even without that information we can see that each of the angles look the same. We already know that there are 360° in a circle, making 180° in a semi-circle. We can add 60+60 which will give us 120°. 360-120=240, which dividing that by 2 will give us 120, and if we were figuring out the other 2 would be 120° each.
What is the radius of a sphere with a surface area of 314.2 square inches?
Use 3.14 for pi and round to the nearest whole number.
find the value of x in the triangle shown below
Answer:
nice
Step-by-step explanation:
Answer:
x=32
Step-by-step explanation:
So a triangles angles add up to 180 degrees. . .
2x+116=180
64=2x
x=32
What is the volume, in cubic feet, of a rectangular prism with a height of 5 feet, aho
width of 20 feet, and a length of 5 feet?
Answer:
500 cubic feet
Step-by-step explanation:
5 * 20 * 5 = 500 cubic feet
Find the total surface area of this cone.
Leave your answer in terms of .
15 cm
78 cm
SA = [ ? 17 cm?
Answer:
SA = 200π cm²
Step-by-step explanation:
The slant height l is the hypotenuse of the right triangle inside the cone
The triangle is an 8- 15- 17 ( Pythagorean triple ) with l = 17
Then
SA = πrl + πr²
=(π × 8 × 17) + (π × 8²)
= 136π + 64π
= 200π cm²
Answer:
in the right angle triangle,
p=15cm
b=8cm
[tex]h = \sqrt{15 {}^{2} + 8 {}^{2} } \\ = \sqrt{125 + 64} \\ = \sqrt{289} \\ = 17cm \\ sa = \pi \: rl + b \\ = \pi \: 8 \times 17 + \pi \: r {}^{2} \\ = 136\pi + 64\pi \\ = 200\pi[/tex]
which shows the solution in the inequality? -2x > 18
A. x >9
B. x<-9
C. x>-9
D.x<9
HELP PLEASE
Answer: x<-9
Step-by-step explanation:
-2x>18
-2x/(-2)<18/(-2)
x< -9
The value of the solution in the inequality is,
⇒ x < - 9
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
The inequality is,
⇒ - 2x > 18
Now, We can simplify as;
⇒ - 2x > 18
⇒ - x > 18/2
⇒ - x > 9
⇒ x < - 9
Thus, The value of the solution in the inequality is,
⇒ x < - 9
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Find the volume of the composite solid. Round your answer to the nearest tenth.
PLEASE HURRY!!! A composite solid is shown with a cube placed at the bottom and a half-sphere placed at the top of the edges of the upper plane surface. The length, width, and height of the cube are 8 centimeters respectively.
Answer: its either "10" or "70"
$22 increased by 40% is what?
Answer: 30.8
Step-by-step explanation:
Answer:
$22 increased by 40% is 30.80
Step-by-step explanation:
Which property is used in the following expression? 2 x 3 = 3 x 2
a. Commutative Property of Addition
b. Associative Property of Multiplication
c. Distributive Property Associative Property of Addition
d. Commutative Property of Multiplication
Answer:
because i learned it in class 2 years ago
Step-by-step explanation:
b. Associative Property of Multiplication
Shakir has relatives in Ottawa, Canada. His aunt told him that the average temperature in April is 8.6°C higher than it is in March. She also said that the average temperature in February is −11.8°C.
If the average temperature in April is 3.8°C, how much colder is the average temperature in February than the average temperature in March?
a
It is 7°C colder.
b
It is 4.8°C colder.
c
It is 3.2°C colder.
d
It is 24.2°C colder.
Answer:
Step-by-step explanation:
did u get the answer?//
Explain in words how to use the formula c=πd
What is P(3 or divisor of 24)?
Answer:
P
(
sum
>
3
and
divisor of
24
)
=
7
18
Explanation:
Possible target sums that meet the given requirements:
XXX
{
4
,
6
,
8
,
12
}
Consider the possible die rolls that can give these sums:
sum
−−−−
xxx
first roll
−−−−−−−
second roll
−−−−−−−−−
4
1
3
2
2
3
1
6
1
5
2
4
3
3
4
2
5
1
8
2
6
3
5
4
4
5
3
6
2
12
−−
6
−
6
−
Giving a total of
14
out of a possible
36
combinations that meet the given requirements.
Step-by-step explanation:
