Answer:
The answer is below
Step-by-step explanation:
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 10 minutes? (c) Determine x such that the probability that you wait more than x minutes is 0.10. (d) Determine x such that the probability that you wait less than x minutes is 0.90.
Answer:
A continuous variable is has a probability distribution function as:
[tex]f(x)=\lambda e^{-\lambda x}[/tex]
A continuous variable is has a cumulative distribution function as:
[tex]F(x)=1- e^{-\lambda x}[/tex]
Given mean = 10 minutes
[tex]mean=\frac{1}{\lambda}\\ \\10=\frac{1}{\lambda}\\\\\lambda=\frac{1}{10}[/tex]
a) P(X > 1 hour) = P(X > 60 minutes) = 1 - F(60) = [tex]1-[1-e^{-60*0.1}]=0.0025[/tex]
b) P(X < 70 | x > 60) = P(X < 10) = [tex]1-e^{-10*0.1}=0.6321[/tex]
c) 0.1 = P(X > x)
0.1 = 1 - F(x)
[tex]0.1=1-[1-e^{-0.1*x}\\\\0.1=e^{-0.1x}\\\\ln(0.1)=-0.1x\\\\-2.3=-0.1x\\\\x=23\ minutes[/tex]
d) 0.9 = P(X < x)
0.9 = F(x)
[tex]0.9=1-e^{-0.1*x}\\\\e^{-0.1x}=1-0.9\\\\e^{-0.1x}=0.1\\\\ln(0.1)=-0.1x\\\\-2.3=-0.1x\\\\x=23\ minutes[/tex]
what is the perimeter of the rectangle
Answer:
28 because 8 plus 8 plus 6 plus 6 sooooo 28:) brainly?
Step-by-step explanation:
Which of the following is not a property of zero? A.Zero is neither positive nor negative.
B. If you add zero to a number, the answer will be that same number.
C. If you multiply any number by zero, the answer will be zero
D. if you divide any number by zero, the answer will be zero
Answer:
D
Step-by-step explanation:
you can't divide by zero
In Algebra, we learn about functions of various types. These functions are often seen in a progression from least complicated (linear) to most complicated (piecewise with nonlinear parts). And then there are other types of functions in-between: exponential, quadratic, polynomial, radical, and logarithmic. But with all their differences and unique properties, these share a common trait of being functions that we can graph in a coordinate plane.
What are some other things you can observe to have that same quality of functions: unique, but sharing a common trait or purpose?
Somethings I can observe that have the same quality is that all functions only have one outcome for a given input. A vertical line will never meet the graph more than once. No X values are used more than once. A function will have either no horizontal asymptote or just one asymptote. These are some common traits that all functions have.
We can see that all functions have the one outcome for one value of x if we can see all the functions carefully.
What is a function?
A function is a relation in which each value of x corresponds to some value of y.
How to determine the features of a function?
When we see some functions, they have the same quality of giving one result for one input. The quality of the graph of all functions is that the vertical line cannot meet the axis twice.
Learn more about functions at https://brainly.com/question/10439235
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PLEASE HELP ILL GIVE U BRAINLIEST AND UP THE POINTS!
Answer:
I think you have chosen the right answer.
Answer: your answer is right
Step-by-step explanation:
The contractor in charge of organizing your pool complex project has informed you that he has found two landscape companies willing to do the work. The 1st company says they can get the entire job done in 72 hours. The 2nd company says they can get the job done in 24 hours. You've decided that it would be best if both companies worked together to get the job done quicker! How many hours would it take to complete the landscaping job if the two companies worked together?
Answer:
18 hours
Step-by-step explanation:
Time taken to complete the job by 1st company = [tex]72\ \text{hours}[/tex]
Time taken to complete the job by 2nd company = [tex]24\ \text{hours}[/tex]
The job completed in 1 hour by 1st company = [tex]\dfrac{1}{72}\ \text{job}[/tex]
The job completed in 1 hour by 2nd company = [tex]\dfrac{1}{24}\ \text{job}[/tex]
The amount of job completed in 1 hour if they both work together[tex]1\ \text{hour}=\dfrac{1}{72}+\dfrac{1}{24}=\dfrac{1}{18}\ \text{job}\\\Rightarrow 1\ \text{job}=\dfrac{18}{1}\ \text{hours}=18\ \text{hours}[/tex]
So, if both companies work together it will take 18 hours to finish the job.
100 centimeters equals 1 meter. Convert 165 centimeters to meters
Answer:
1.65 MetersStep-by-step explanation:
Since 100 CM equals 1 Meter,
165 CM equals 1.65 Meters.
Hope this helps! <3
Answer:
1.65 meters
Step-by-step explanation:
100 cm = 1 m
165 cm = 1.65 m
Sorry that i can't explain more, i hope this helps though!
Find the value of the missing number.
Answer:
y= 9
x= 10
Explanation:
I don't really know if this is correct-
Robert spends $30.45 before tax at the book store. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?
The total cost of Robert's purchase is $32.657625.
Given that, Robert spends $30.45 before tax at the book store and the sales tax rate in his city is 7.25%.
We need to find the total cost of his purchase.
What is the sales tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
The total cost = 30.45+7.25% of 30.45
=30.45 + 0.0725 × 30.45
=30.45 + 2.207625
=32.657625
Therefore, the total cost of Robert's purchase is $32.657625.
To learn more about sales tax visit:
https://brainly.com/question/27092799.
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Which number equals 9x100+9x10+0x1+0x1/10+3x1/100+7x1/1000
Answer:
bro u just made my brain explode lollllllllllllllllllllllllllllll
Answer: The answer should be or somewhere around 991.13700
kx =v+w, for x
answer fast!
Answer:
x=v+w/k
Step-by-step explanation:
Answer:
x = [tex]\frac{v+w}{k}[/tex]
Step-by-step explanation:
Savings account A contains $80. Lance will bein depositing money into this account at a rate of $3.50 per week.
Savings account B contains $95. Lara will begin depositing money into this account at a rate of $3.25 per week.
After how many weeks will both accounts contain the same amount of money?
O 290 weeks
15 weeks
0 3.75 weeks
O 60 weeks
Answer:
78
Step-by-step explanation:
dont use this
Heyyyy you can you help me plsssz
SHOW WORK: h(x)= -4x+4, what is x when h(x)=-20 ? *
Answer:
x=6
Step-by-step explanation:
h(x)=-20 is the same as saying y=-20, so you would substitute h(x) with -20 and solve the equation from there.
[tex]-20=-4x+4[/tex]
[tex]-4[/tex] [tex]-4[/tex]
---------------------
[tex]\frac{-24}{-4} =\frac{-4x}{-4}[/tex]
[tex]6=x[/tex]
PLZ HELP ASAP PLZ I WILL MARK YOU THE BRAINLYIST
andom variable X has CDF given as follows. Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.
Complete Question
Random variable X has CDF given as follows
[tex]F(x)_x = \left \{ {{{{{{{ 0 \ \ \ \ \ \ \ \ \ \ x < 0} \atop {\frac{8}{33}} \ \ \ \ \ \ 0 \le x \le 1} \atop{ \frac{5}{11} }\ \ \ \ \ 1 \le x \le 2 } \atop {\frac{7}{11} } \ \ \ \ \ \ 2 \le x \le 3} \atop{ \frac{26}{33} }\ \ \ \ \ 3 \le x \le 4 }\atop {\frac{10}{11} } \ \ \ \ \ \ 4 \le x \le 5} \atop{ 1}\ \ \ \ \ \ \ \ 5 \le x } \right.[/tex]
Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.
Answer:
Generally the PMF is
X 0 1 2 3 4 5
P(X = x) [tex]\frac{8}{33}[/tex] [tex]\frac{7}{33}[/tex] [tex]\frac{2}{11}[/tex] [tex]\frac{5}{33}[/tex] [tex]\frac{4}{33}[/tex] [tex]\frac{1}{11}[/tex]
Generally to prove the validity of the PMF we add the probabilities , if it is equal to 1 then the PMF is valid otherwise , the PMF is not valid
So
[tex]\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}[/tex]
[tex]\sum P(X = x) =1[/tex]
Hence the PMF is valid
Step-by-step explanation:
Generally the probability of X = 0 is evaluated as
[tex]P(0) = F(0) \ \ (for \ x \le 0) - F(0) \ ( for \ x < 0)[/tex]
=> [tex]P(0) = \frac{8}{33} - 0[/tex]
=> [tex]P(0) = \frac{8}{33}[/tex]
Generally the probability of X = 1 is evaluated as
[tex]P(1) = F(1) \ \ (for \ 1 \le 0) - F(1) \ ( for \ x < 1)[/tex]
=> [tex]P(1) = \frac{5}{11} - \frac{8}{33}[/tex]
=> [tex]P(1) = \frac{7}{33}[/tex]
Generally the probability of X = 2 is evaluated as
[tex]P(2) = F(2) \ \ (for \ 2 \le x ) - F(2) \ ( for \ x < 2)[/tex]
=> [tex]P(2) = \frac{7}{11} - \frac{5}{11}[/tex]
=> [tex]P(2) = \frac{2}{11}[/tex]
Generally the probability of X = 3 is evaluated as
[tex]P(3) = F(3) \ \ (for \ 3 \le x ) - F(3) \ ( for \ x < 3)[/tex]
=> [tex]P(3) = \frac{26}{33} - \frac{7}{11}[/tex]
=> [tex]P(3) = \frac{5}{33}[/tex]
Generally the probability of X = 4 is evaluated as
[tex]P(4) = F(4) \ \ (for \ 4 \le x ) - F(4) \ ( for \ x < 4)[/tex]
=> [tex]P(4) = \frac{10}{11} - \frac{26}{33}[/tex]
=> [tex]P(4) = \frac{4}{33}[/tex]
Generally the probability of X = 5 is evaluated as
[tex]P(5) = F(5) \ \ (for \ 5 \le x ) - F(5) \ ( for \ x < 5)[/tex]
=> [tex]P(5) = 1- \frac{10}{11}[/tex]
=> [tex]P(5) = \frac{1}{11}[/tex]
Generally the PMF is
X 0 1 2 3 4 5
P(X = x) [tex]\frac{8}{33}[/tex] [tex]\frac{7}{33}[/tex] [tex]\frac{2}{11}[/tex] [tex]\frac{5}{33}[/tex] [tex]\frac{4}{33}[/tex] [tex]\frac{1}{11}[/tex]
Generally to prove the validity of the PMF we add the probabilities , if it is equal to 1 then the PMF is valid otherwise , the PMF is not valid
So
[tex]\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}[/tex]
[tex]\sum P(X = x) =1[/tex]
Hence the PMF is valid
What is the answer to
1 + 3(8.63) =
Answer:
26.89
Step-by-step explanation:
minimum or maximum value of f(x)=−0.5x2+2x−5.
In the equation assign each number a letter:
A = -0.5, b = 2 and c = -5
Maximum = -b/2a = -2/2(-0.5) = 2
Minimum = replace x in the equation with the maximum and solve for y:
-0.5(2)^2 +2(2) -5 = -3
Maximum and minimum = (2,-3)
Solve this please to get brainliest
I can be late, I can be early, I can be astronomical or atomic and my insides are incredibly complex. What am I?
Answer:
Clock
Step-by-step explanation:
The answer is Clock because the time changes from AM to PM and there are many things inside that cause it to work.
Nissa is going to plant 485485485 trees this year.
If Nissa plants 555 orchards of trees, how many trees will be in each orchard?
(Assume each orchard has the same number of trees.)
Answer:
97
Step-by-step explanation:
You would need to divide 485/5 to find how many trees in each orchard
485/5 = 97
Suppose Amanda LaCount is scheduled to dance 21 times in one month. If the ratio of dances completed to dances remaining is 3:4, how many dances has Amanda already performed?
Answer:
9
Step-by-step explanation:
if you add up the amount of dances she has to do, it equals 7. then you divide 21 by 7, which equals 3. then, you have to find the amount of dances she has already done, which would be 3 × 3 which equals 9.
What does each small square in the model represent?
Answer:
Each small square represents 0.1 units.
Step-by-step explanation:
Answer:
It should equal 0.1 unit units each.
sorry if wrong.
How did you do this question?
Answer:
R = ∞
I = (-∞, ∞)
Step-by-step explanation:
Use the ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│
lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] / [xⁿ⁺⁵ / (2n!]│
lim(n→∞)│[xⁿ⁺⁶ / (2(n+1)!)] × (2n! / xⁿ⁺⁵)│
lim(n→∞)│x 2n! / (2(n+1)!)│
lim(n→∞)│n! / (n+1)!││x│
lim(n→∞) (1 / (n+1))│x│
0
The series converges if the limit is less than 1.
The limit is always less than 1, so the radius of convergence is infinite.
So the interval of convergence is (-∞, ∞).
john has measured some distance on the map. atlanta and kingston are 2.5 cm apart, and kingston and ringgold are 3.5 cm apart. if the actual distance from atlanta to kingston is 60 miles, what is the actual distance from kingston to ringgold?
A: 78 Miles
B: 84 Miles
C: 92 Miles
D: 106 Miles
Answer:
C: 92 miles
Step-by-step explanation:
Took test
Answer:
C the correct answer
Step-by-step explanation:
took the test
Si se traslada con figura con lados paralelos,¿se mantienen así en la figura trasladada? Y si son perpendiculares
Answer:
sí, permanece así, todo lo que hace es mover las formas, no cambia la distancia entre sí ni la forma o tamaño de las mismas
Step-by-step explanation:
Espero que esto ayude :)
Please help. only give brainliest to right answer
Answer:
We will find the value of each of the option to see which one is different
a) The opposite of 8
the opposite of 8 is -8
b) The distance between 5 and -3
distance is a scalar value and can NEVER be negative
So, distance = 8
c) The absolute value of 8
the absolute value of 8 is the modulus of 8
|8| = 8
d) The opposite of -8
the opposite of -8 is 8
From the above, we can see that the second, third and fourth options are equal except the first option
Is √49 rational numher
Answer:
Yes
Step-by-step explanation:
Because 7x 7=49
Or 49 divided by 7 is 7
Answer:
yes
Step-by-step explanation:
b/c the sq root of 49 is 7
Imagine an element that has 15 protons, 16 neutrons, and 18 electrons. Which of the following would NOT be considered an isotope of this element? *
15 protons, 16 neutrons, and 15 electrons
15 protons, 17 neutrons, and 15 electrons
15 protons, 15 neutrons, and 18 electrons
Answer:
15 protons, 15 neutrons and 18 electrons (3rd one) is the answer
Step-by-step explanation:
Research suggests that red kangaroos have an average height of 63 in with a standard deviation of 4 in. What is the probability that a random sample of 45 kangaroos has an average of height that is greater than 70 inches.
Answer:
0.040
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ,
where x is the raw score = 70 in
μ is the population mean = 63 in
σ is the population standard deviation = 4 in
z = 70 - 63 /4
z = 7/4
= 1.75
Probability value from Z-Table:
P(x<70) = 0.95994
P(x>70) = 1 - P(x<70)
= 0.040059
The probability that a random sample of 45 kangaroos has an average of height that is greater than 70 inches
is 0.040
at springtown café, 5/9 of the customers left a large tip. In contrast, 3/10 of the customers at Allenville bistro left a large til. Which restaurant had a greater fraction of customers who left a large tip? please help
Answer:
Springtown Cafe
Step-by-step explanation:
If you want to be sure, find a common denominator. 9 and 10 are the denominators of each fraction. Find the multiples of each (9's multiples would be 9, 18, 27, etc.) and find a common multiple between the two. In this case, it would be 90. Multiply the denominator to get the common denominator. 9 x 10 = 90, 10 x 9 = 90. Remember to multiply both the top and bottom.
5/9 = 50/90
3/10 = 27/90
Now, we can clearly see that 5/9 is larger than 3/10.
So, Springtown cafe has a greater fraction of customers who left good tips.
3x^0 for x=2.6
3x to the power of 0. for x is 26
uurgent HELPP
Answer:
3
Step-by-step explanation:
Any definite number (except zero) to the power one is one
So
3x^0
3 • 1
3