Answer:
A) 0.019
B) 0.563
Step-by-step explanation:
a) We will use Poisson distribution formula to solve this;
The formula is given as;
P(X = x) = ((e^-λ) × (λˣ))/x!
Mean is 1. Thus;
λ = 1 aircraft/hour.
Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)
Thus;
P(X > 3) = 1 - P(X ≤ 3)
Thus;
1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
Solving through online calculator, we have;
P(X > 3) = 1 - 0.98101
P(X > 3) = 0.01899
To 3 decimal places, we have; P(X > 3)= 0.019
b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;
P(X ≤ 3) = 1 - P(X > 3)
P(X ≤ 3) = 1 - 0.01899
P(X ≤ 3) = 0.98101
Since there are 30 one-hour intervals, then we have;
Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;
(P ≤ 3) = (0.98101)³⁰
(P ≤ 3) = 0.5626
Approximating to 3 decimal places, we have;
(P ≤ 3) = 0.563
Fourth and fifth graders planted trees alongside the road. The distance between two trees is 5 meters how many trees did they plant if the distance between the first and last trees is 200 meters?
[tex]$\mathcal{PROCESS:}$[/tex]
[tex]{\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}[/tex]
The distance between two trees is 5 meters.the distance between the first and last trees is 200 metersTo know the result of trees we will do the following steps...
We will divide the distance from the first to the last tree by 5, and with this we would have the result:
[tex]200/5=?[/tex]
Result:
40 trees were planted
ATT- Brook2007s
Answer:
41 Trees
Step-by-step explanation:
Solve for e. 4/3 = -6e - 5/3
Answer:
e = -1/2
Step-by-step explanation:
To solve this problem, our first step is to add 5/3 to both sides of the equation. This gives us:
4/3 + 5/3 = -6e - 5/3 + 5/3
9/3 = -6e
We can simplify the left side of the equation by performing the division.
3 = -6e
Next, we can solve for e by dividing both sides of the equation by -6.
e = -1/2
Therefore, the correct answer is e = -1/2.
Hope this helps!
Answer:
The value of e is -1/2
Step-by-step explanation:
4/3 = - 6e - 5/3
Now, add 6e both side we get,
4/3 + 6e = + 6e - 6e - 5/3
4/3 + 6e = - 5/3
Now, subtract 4/3 from both side we get,
4/3 - 4/3 + 6e = -4/3 - 5/3
6e = -4/3 - 5/3
6e = -4 - 5/3
6e = -9/3
6e = -3
Now, divide 6 from both side we get,
6e/6 = -3/6
e = -1/2
Thus, The value of e is -1/2
-TheUnknownScientist
resolver:
[5+(-3+6)+(-2)]-[(-4+10)+(-3)-(-5)]
Consider the quadratic function f(x) = x2 - 5x + 6.
What are the values of the coefficients and constant in the function?
а
b
c
Answer:
a=1
b=-5
c=6
Step-by-step explanation:
ax^2+bx+c=0
Is the formula used for this question.
The given function is the same as y = 1x^2 + (-5x) + 6
Compare it to the form y = ax^2+bx+c, and we have the following:
a = 1
b = -5
c = 6
Help with 12 please
12.
[tex]we \: know \: that \\ \frac{sum \: of \: all \: quantities}{number \: of \: quantities} = mean \\ => \frac{26 + 22 + 32 + 28 + 35 + x}{6} = 30 \\ = > \frac{143 + x}{6} = 30 \\ = > 143 + x = 30 \times 6 \\ = > 143 + x = 180 \\ = > x = 180 - 143 \\ = > x = 37 \\ [/tex]
This is the answer.
Hope it helps!!
determine which statement or statements are true. If none write “none”.
By accident I circled D for question 1 and C for question 2 I’m not sure if they are correct. But if anybody can help me with 1-3 that will be a life saver!!!
THANK UUUUUU
Answer:
number 1 is C number 2 is A and number 3 is D
Step-by-step explanation:
Answer:
yeah
Step-by-step explanation:
In a carnival game called Spot the Spot, the player has to drop five disks onto a red circle. The disks must cover it completely for the player to win. The probability that a skilled player can drop one of the disks onto the exact place on the red circle that it must occupy is about 1/3. What is the probability that such a player will be able to drop
Answer:
See explanation
Step-by-step explanation:
Given
[tex]n=5[/tex] --- disks
[tex]p = \frac{1}{3}[/tex] --- success probability
Required
The question is incomplete, as the required probability is not stated.
However, the question follows binomial distribution and the probability is calculated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]
Assume the question requires that we calculate the probability that he's able to drop 2 disks, the probability will be:
[tex]P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (1 - \frac{1}{3})^{5-2}[/tex]
[tex]P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (\frac{2}{3})^{3}[/tex]
[tex]P(x = 2) = 10 * \frac{1}{9}* \frac{8}{27}[/tex]
[tex]P(x = 2) = \frac{80}{243}[/tex]
Apply the formula to the complete question
Hey is there any chance anyone could help me with this question ASAP?? Tysm :)
Answer:
6
Step-by-step explanation:
A = π. r²
36π = π. r²
eliminate π, we get:
36=r²
r=√36
r = 6
Answer:
r = 6
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Given A = 36π , then
πr² = 36π ( divide both sides by π )
r² = 36 ( take the square root of both sides )
r = [tex]\sqrt{36}[/tex] = 6
How many orders of magnitude bigger is 23,000 than 56?
Orders of Magnitude are in terms of scientific notation.
23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)
56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.
4 - 1 = 3
2300 is 3 order of magnitudes larger.
The answer is 3.
If a semi circle has a diameter of 5 m what is the area?
Answer:
Exact answer = 10.41666666666666666666666666666pi
Estimated answer = 32.70938
Step-by-step explanation:
Semi circle formula: 1/2 * 4/3 * pi * r^3
r = 2.5
1/2 * 4/3 * pi * 2.5^3
2/3 * pi * 2.5^3
2/3 * pi * 15.625
10.416..... * pi
Exact answer = 10.417pi
We can estimate pi as 3.14
So, 10.417 * 3.14 = 32.70938
Exact answer = 10.41666666666666666666666666666pi
Estimated answer = 32.70938
Help on this question
Answer:
is it me or can I not see anything
65% of what number is 13?
Hi!
65% → 13 || : 13
5% → 1 || • 20
100% → 20
Answer: 65% of 20 is 13.
A pipe 11/15 liters of tub in 22/45 minutes what is its flow rate in terms of liters per minute
Answer:
3/2 liters/minute
Step-by-step explanation:
Divide 11/15 liters by 22/45 minutes:
11
------
15
-----------
22
-----
45
This is equivalent to:
11 45
----- * ----- = 3/2 (liters/min)
15 22
The flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).
Given:
Volume of water = 11/15 liters
Time taken = 22/45 minutes
Flow rate = Volume / Time
Flow rate = (11/15) liters / (22/45) minutes
To divide by a fraction, we multiply by its reciprocal:
Flow rate = (11/15) x (45/22) liters/minutes
Simplifying the expression:
Flow rate = 495/330 litres/minutes
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:
Flow rate = (495/165) / (330/165) litres/minutes
Flow rate = 3/2 liters/minutes
Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To know more about expression follow
https://brainly.com/question/29115565
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The equation of line a is y=12x−1, and it passes through point (6,2).
Line b is perpendicular to line a, and it passes through point (−6,2).
A: What is the slope of line b?
B: What is the y-intercept of line b?
Answer:
A). slope = -1/12 y-intercept = 3/2
Step-by-step explanation:
y = -1/12x + b
2 = -1/12(-6) + b
2 = 1/2 + b
3/2 = b
y = -1/12x + 3/2
Which represents f(x)=g
If < A and < B are vertical angles, and < A = 5x - 1 degrees, and < B = 4x + 4 degrees, find x.
Select one:
a. 5 / 9
b. - 3
c. 5
d. 11
Answer:
c
Step-by-step explanation:
vertical angles are congruent, so
5x - 1 = 4x + 4 ( subtract 4x from both sides )
x - 1 = 4 ( add 1 to both sides )
x = 5 → c
The value of x is c. 5
Given that,
If < A and < B are vertical angles, and < A = 5x - 1 degrees, and < B = 4x + 4 degreesBased on the above information, the calculation is as follows:
5x - 1 = 4x + 4
5x -4x = 4 + 1
x = 5
Learn more: brainly.com/question/17429689
Using f(x) = 4x + 6 with a domain of{-1, 0, 2 }, find the range.
1. {10, 6, 15}
2. {2, 14}
3. {-4, 0,8}
4. {2, 6, 14}
Answer:
{2,6,14}
Step-by-step explanation:
The range are the f(x) values
the domain are the x values
So we have it that;
f(-1) = 4(-1) + 6 = 2
f(0) = 4(0) + 6 = 6
f(2) = 4(2) + 6 = 14
so we have the range as;
{2,6,14}
A mixture contains nothing biet water and are tone in a ratio of stof 1.2. After 2oom of water is added to the mixture, the ratio of water to acetone He is 2:3. The original volume of the mixture is
Answer:
Step-by-step explanation:
Find the quotient: 63/-9
Answer:
-7
Step-by-step explanation:
63/9 but there is an odd number of negative numbers so negative answer
Solve for x. Thank you
Answer:
20
Step-by-step explanation:
Let the angle at the left corner is A, so the angle at the rIght corner should be (180-90-A) = (90-A).
In the left triangle:
tanA = 8√5/16 = √(5)/2
Thus,
cotA = 1/tanA = 2/√5
In the right triangle:
tan(90-A) = 8√5/x
cotA = 8√5/x [tan(90-x) = cotx]
2/√5 = 8√5/x
x = 20
Solve for x. Round to the nearest tenth, if necessary.
Answer:
15.4
Step-by-step explanation:
sin 17° = 4.5 /x
x = 4.5 / sin 17° = 4.5 /0.2924
= 15.4
The value of the variable 'x' using the sine formula will be 15.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the sine of the angle ∠GIH. And the sine of an angle is the ratio of the normal and hypotenuse of the right-angle triangle. Then we have
sin 17° = 4.5 / x
x = 15.4
The value of the variable 'x' using the sine formula will be 15.4 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ7
What are the side of triangle PQR
Six pounds of grapefruit costs $3.00. 5 pounds of apples costs 2.65.
What is the cost per pound for each fruit?
Answer:
1 grapefruit cost $0.50 and 1 apple cost $0.53
Step-by-step explanation:
To find the unit cost of 1 fruit, divide the cost by the amount of fruit.
Grapefruit = 3.00 ÷ 6 = $0.50
Apple = 2.65 ÷ 5 = $0.53
How would the domain and range of the function y = one-fourth x minus 6 be determined? Explain.
Answer:
Domain = ( -∞ , ∞ )
Range = ( ∞ , ∞ )
Step-by-step explanation:
A function is given to us and we need to find the domain and range of the given function .
The function :-
[tex]\rm \implies y = \dfrac{1}{4}x - 6 [/tex]
Definitions :-
Range :- The range is the set of all valid y values .Domain :- All real numbers except where the expression is undefined.In this case, there is no real number that makes the expression undefined. Therefore the domain will be :-
Domain :-
[tex]\rm Domain = ( -\infty , \infty ) [/tex]
or
[tex]\rm Domain = \{ x | x \in \mathbb{R} \}[/tex]
Range :-
[tex]\rm Range = ( -\infty , \infty ) [/tex]
or
[tex]\rm Range = \{ y | y \in \mathbb{R}\} [/tex]
Answer:
Create a table or a graph of the function. The domain represents all input values and the range represents all output values. The domain and range contain all real numbers.
Step-by-step explanation:
What is the slope of the line? What is the y-intercept of the line? y = 1
Answer:
m = 0
y intercept = 1
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = 1[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = 0 [/tex]
[tex]\implies y - intercept= 1[/tex]
Slope of the line is 0, since y=mx+c, if m = 0, then y = c, where the constant (c)=1
y intercept of the line is y = 1.
Answered by GAUTHMATH
Can someone help me with this math homework please!
Answer:
During that time, math symbols (like the division and multiplication sign) and numbers weren't invented yet, so they used words because that was the only choice either than verbally speaking.
Step-by-step explanation:
This is open-ended question, so you can write something similar to the answer I wrote or add on to it :-)
I searched online for the answer and found it on Brainly just to let you know because I was unsure about it loll
Credit: Edufirst
Hope it helps (●'◡'●)
Lol do yu guys know this?? plz help
Answer: Choice C. 32,768
Explanation:
2.5 hours = 2.5*60 = 150 minutes
150/10 = 15
There are 15 periods that are 10 minutes each in a 2.5 hour timespan.
y = a*b^x
y = 1*2^15
y = 32,768
If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.
Pls help plz help pls plz help plz plz help
Answer:
The first choice, Equation A and equation C.
Step-by-step explanation:
The lines A and C are intersecting in the point (0,8). That is the solution for those lines.
If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be
Step-by-step explanatiosorry don't understand question be more specific
Find the missing part.
Answer:
[tex]y=\frac{15\sqrt{3}}{4}[/tex]
Step-by-step explanation:
We are given that
[tex]\theta_1=60^{\circ}[/tex]
[tex]\theta_2=30^{\circ}[/tex]
We have to find the missing part.
[tex]\frac{x}{15}=cos\theta_1=cos60^{\circ}[/tex]
Using the formula
[tex]\frac{base}{hypotenuse}=cos\theta[/tex]
[tex]x=15cos60^{\circ}=\frac{15}{2}[/tex]
[tex]\frac{z}{15}=sin60^{\circ}[/tex]
Using the formula
[tex]\frac{Perpendicular\;arm}{hypotenuse}=sin\theta[/tex]
[tex]z=15\times \frac{\sqrt{3}}{2}=\frac{15\sqrt{3}}{2}[/tex]
Now,
[tex]\frac{a}{x}=cos60^{\circ}[/tex]
[tex]\frac{a}{\frac{15}{2}}=\frac{1}{2}[/tex]
[tex]a=\frac{1}{2}\times 15/2=\frac{15}{4}[/tex]
[tex]y=x sin60^{\circ}[/tex]
[tex]y=\frac{15}{2}\times \frac{\sqrt{3}}{2}[/tex]
[tex]y=\frac{15\sqrt{3}}{4}[/tex]