Answer:
0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes
Step-by-step explanation:
To solve this question, we should understand the exponential distribution and conditional probability.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
The average waiting time for this distribution is 38 minutes.
This means that [tex]m = 38, \mu = \frac{1}{38} = 0.0263[/tex]
Given that it has already taken 37 minutes, what is the probability that the wait time will be more than an additional 41 minutes?
Event A: Taking more than 37 minutes.
Event B: More than 37 + 41 = 78 minutes.
Probability of taking more than 37 minutes:
[tex]P(A) = P(X \leq 37) = 1 - e^{-0.0263*37} = 0.6221[/tex]
More than 37 minutes and more than 78 minutes:
The intersection is more than 78 minutes, so:
[tex]P(A \cap B) = P(X > 78) = e^{-0.0263*78} = 0.1286[/tex]
The probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1286}{0.6221} = 0.207[/tex]
0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes
A bear loves visiting his friend, the piglet. The distance between their houses is 300m , and the bear always walks from his house to the piglet's house in exactly the same amount of time. But today, the bear stops at a beehive after walking —1 of the 4 distance. He eats honey for 2.5 minutes and then continues to the piglet's house at a speed 15 m/min faster than usual. The total journey to the piglet's house takes the exact same amount of time as it usually does, when the bear does not stop for honey. How long does the journey take?
Answer:
10mins
Step-by-step explanation:
you can draw a rtd chart for this problem
rate (m/min)| time (mins) | distance (m )
regular: (300/x) | x | 300m
fist 1/4 : (300/x) | 75: (300/x) | 75m
last 3/4: | (300/x)+15 | 225:(300/x + 15) | 225m
then, make an equation for the times:
x= (75: (300/x)) + (225: ( (300/x)+15) + 2.5 = x
// get the 2.5 mins from the stop for honey, and we know that regular speed is equal to the one with a stop
solve equation to get x=-20/3 , x=10, because speed is positive, x=10 is the most reasonable answer
5/8 62.5/100 as a ratio (simplified)
Answer:
5:8, 25:1
Step-by-step explanation:
i guess this is ans
What is the answer to -5+(-5r)+10
Answer:
=−5r+5
Step-by-step explanation:
Let's simplify step-by-step.
−5−5r+10
=−5+−5r+10
Combine Like Terms:
=−5+−5r+10
=(−5r)+(−5+10)
=−5r+5
Answer: -5r+5
Step-by-step explanation: 1rst: Eliminate redundant parentheses
-5+(-5r)+10
-5-5r+10
2nd: Add the numbers
-5-5r+10
5-5r
3rd: Rearrange terms
5-5r
-5r+5
How do I solve 1 1/3 × 2 2/4 in steps?
Answer:
3 1/3
Step-by-Step
first step is too make a an improper fraction, 1 1/3 equals 4/3 and 2 2/4 equals 10/4. next your gonna multiply 4/3 and 10/4, 4x10=40,3x4 equals 12, so it would be 40/12. but its improper, we need to reduce it. the lowest number that can go in both numbers is 4. 40 divided by 4 =10. 12 divided by 4=3. 12/3= 3 1/3
Answer:
10/3
Step-by-step explanation:
That's 1 1/3 times 2 1/2.
Converting these into improper fractions, we get 4/3 times 5/2.
Multiplying (4/3) by (5/2), we get 20/6, or, after reduction, 10/3
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer: C
Step-by-step explanation: The layers of rocks implies superposition and changes in species implies evolution
ill mark brainlist plss help
it is oxygen no doubt about it
A kite is shown below with given dimensions in inches. What is the area in square units
Answer:
320
80
Step-by-step explanation:
4 to the power of3 -(2+2to the power of 3) x 5
Answer:
14
Step-by-step explanation:
Given the following equation;
4³ - (2 + 2³) * 5
4*4*4 - (2 + 2*2*2) * 5
64 - (2 + 8) * 5
64 - (10) * 5
64 - 50 = 14
Note: the rule of BODMAS was applied.
Select the correct comparison.
A. The typical value and the spread are both greater in set B.
B. The typical value is greater in set B. The spread is greater in set A.
C. The typical value and the spread are both greater in set A.
D. The typical value is greater in set A. The spread is greater in set B.
Answer:
The typical value is greater in set A. The spread is greater in set B.
Step-by-step explanation:
A P E X, hope it helps.
Answer:
it's B
Step-by-step explanation:
took the quiz
(9x10^10) - (4x10^10)
Answer: 50000000000 is your answer.
Step-by-step explanation:
please help on this question i give brainliest
Answer:
1. 9 bounds of carbon dioxide
2. 27 bounds of carbon dioxide
Step-by-step explanation:
So let's find a unit rate: 1 to 9
"Why is it 1:9?"
If I can find divide 72 pounds into 8 hours? What would I find? You would find the pounds for each other
Example: 72/8=9. So If 9 carbon dioxide per hour. I can do 3 hours is 27 pounds of carbon dioxide.
So to sum it up, 72/8=9 so 1:9 can be used to figure out any amount of pounds used in a certain number of hours. So If 3 hours, then 27 pounds.
Answer:
1. 9 pounds of carbon dioxide
2. 27 pounds of carbon dioxide
Step-by-step explanation:
Well, I just know it.
Which set of numbers may represent the sides of a triangle
A: {2,5,9}
B: {6,6,7}
C {6,4,2}
D {7,8,1}
Answer:
C.(6, 4,2)
since every element of B is also an even number,so is an element of C
convert 2 1/2 cups to pints
Answer:
2 1/2 cups = 1.25 or 1 and 1 quarter liquid pint (U.S)
Step-by-step explanation:
3x+5=12-7x solve? Help
Answer:
3x + 5 = 12 - 7x
⇒ 3x = 12 - 5 - 7x
⇒ 3x = 7 - 7x
⇒ 3x + 7x = 7
⇒ 10x = 7
⇒ x= 7 ÷ 10
⇒ x = 0.7
which of the following is like a radical to 3 sqrt 6x2 ??? PLEASE HURRY
Answer:
[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]
Step-by-step explanation:
Given
[tex]3\sqrt{6x^2[/tex]
Required
Express as a radical
Split
[tex]3\sqrt{6x^2} = 3\sqrt{6} * \sqrt{x^2[/tex]
[tex]\sqrt{x^2} = x[/tex]
So:
[tex]3\sqrt{6x^2} = 3\sqrt{6} * x[/tex]
This gives:
[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]
Find three consecutive numbers whose sum shall equal 45.
Answer:
the three consecutive numbers are 14, 15, 16
Answer:
Since the consecutive numbers, so the first one is x, the next one is x+1, and so on....I hope this will help
Step-by-step explanation:
x + (x + 1) + (x + 2) = 45
x + x + 1 + x + 2 = 45
3x + 3 = 45
3x = 42
x = 14
Now that we know x = 14, let's add one to it.
x + 1 = 14 + 1 = 15.
Now we have our middle number, which is 15. You can always check your answer by adding 14 + 15 + 16 = 45. Whoo!
40 - 10 + 20
Don’t answer until when it’s one min later....there is a timer on my math probs so ya
Answer:
The answer is 50
Step-by-step explanation:
40-10=30
30+20=50
Consider a graph of the equation y = x + 6. What is the y-intercept? (5 points) 6 −1 1 −6
D I am not 100% sure, If I am wrong sorry
The graph shows the solution to which systems of inequalities? y 6 LO 4 3 2 1 1 -3 -2 -1 0 -1 1 2 3 4 5 6 7 8 -2 -3
Answer:
I don't get your question
Step-by-step explanation:
Solve using the quadratic formula.
q2 + 69 + 9 = 0
Answer:
the value of q = -3
Step-by-step explanation:
The computation of the equation is shown below:
Given that
q^2 + 6q + 9 = 0
q^2 + 3q+ 3q + 9
q(q + 3) + 3(q + 3)
(q+3) (q+3)
q = -3
Hence, after solving it the value of q = -3
Which example models a negative integer A.Students in a classroom B. The age of a parent C. Money lost from a pocket D. the height of a tree
Answer:
C- Money lost from a pocket
Step-by-step explanation:
It would be C because something is decreasing ( now a negative) from what they did have.
Change the following into m square 30,000cm²
Answer: 3sqm
Step-by-step explanation:
HELP PLEASE How do you simplify this expression? (Pls list steps)
-12 ÷ 3 • (-8+(-4)^2 - 6) ÷ 2
The answer is 4
steps listed above
Consider each statement about finding the measurements of triangles. Choose True or False for each statement.
A. If you know the measures of the three angles of a triangle, you can find the lengths of the sides.
True or False
B. If you know the lengths of the three sides of a triangle, you can find the measures of the angles.
True or False
C. If you know the measures of the two sides of a triangle and the measure of an angle not included between the two sides, you can solve the triangle. True or False
Answer:
c
Step-by-step explanation:
Measurement of triangle
Measure of 3 angles find length is true.Lengths of 3 sides for angles is true.Measures of angles not included the two sides is false.What is the measure of the triangle?The measure of the triangle is the sum of 3 interior angles of the triangle. This is always 180 degrees, as a triangle has 3 sides and 3 angles.
The measure of the three sides of the triangle can help in finding out the angles and similarly the three angles can help to find the length. If we consider two sides and then measure the angle then the triangle can't be solved.
Find out more information about the measurements of triangles.
brainly.com/question/9909700
Given a function described as the graph below, what is y when x is 3?
WHERE IS THE GRAPH. there needs to be a graph to answer the question
Answer:6
Step-by-step explanation:
Uop
find the median for 24 27 17 19 23 39 20 29 33 33
Answer:
25.5
Step-by-step explanation:
Median calulater
Answer part C. I want step by step on this problem.
Answer:
[tex]Rate = 58007956.5217[/tex]
Step-by-step explanation:
Solving (c): The rate of change:
In this concept, the formula to use is:
[tex]Rate = \frac{V2 - V1}{t2 - t1}[/tex]
Where
[tex](t1,v1) = (0,62817000)[/tex] ----- In 2004
[tex](t2,v2) = (23,1397000000)[/tex] ------ In 2026
So, we have:
[tex]Rate = \frac{1397000000 - 62817000}{23 - 0}[/tex]
[tex]Rate = \frac{1334183000}{23}[/tex]
[tex]Rate = 58007956.5217[/tex]
-6y+11x=-34
-4y+7x=-24
Answer:
no idea but mabye someone whose NOT in 3rd grade will know?
The area of the triangle below is 23.4 square inches. What is the length of the base?
6 in is the height
Answer:
543
Step-by-step explanation:
i am smart
What is the value of 7m – 3n when m = 3 and n = 2?
Answer:
It's 15.
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Plug in m = 3 & n = 2 into the equation.
7(3) - 3(2)
21 - 6
15
Hope this helps & have a great rest of your day!