Answer:
a) [tex]\pi(0)=\frac{1}{3}[/tex]
b) [tex]X=\frac{2}{3}[/tex]
Step-by-step explanation:
From the question we are told that:
Arrival time with Poisson's process =[tex]t_p=2-3minutes[/tex]
where
[tex]\lambda_1=2\\\lambda_2=3[/tex]
a)
Generally the equation Poisson's process is mathematically given by
[tex]\pi()n*\lambda_1=\pi(n+1*) \lambda_2[/tex]
[tex]\pi()n*2=\pi(n+1*)*3[/tex]
[tex]\pi(n+1)=\frac{2}{3} \pi+1*\pi(0)[/tex]
Therefore
[tex]\pi(0)(1+2/3+(2/3)^2+...)=1[/tex]
[tex]\pi(0)=\frac{1}{3}[/tex]
The proportion of arriving customers that get taxis.
[tex]\pi(0)=\frac{1}{3}[/tex]
b)
Generally the average number of taxis X waiting is mathematically given by
[tex]X=1-\pi(0)\\X=1-(1/3)[/tex]
[tex]X=\frac{2}{3}[/tex]
3 - 8 + (-9) ÷ 3 x 4
Answer:
-17 or (-12) - 5
Step-by-step explanation:
Mark me brainllest
Calculate the probability of drawing an ace of spades, followed by an ace of hearts from a full deck
Answer:
Plzzzz answer fast......
Is 5.094 greater or less than 5.904
Answer:
Less
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
5.904 is greater because the 9 is closer to the decimal than the 9 of 5.094
How to find 2% of 3000
without a calculator
Answer:
60%
Step-by-step explanation:
Choose each number that shows 4% as an equivalent fraction, decimal, or percent. Select all that apply.
A. 0.04
B. 40%
C. 410
D. 4100
E. 0.4
Answer:
A, D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A: 0.04 is the only choice representing 4%.
Michael has 4 ten dollar and 7 five dollar bills he has 3 more ten dollar bills and 2 more ten dollar bills than Tamara. How much money does Tamara has
Answer:
she has only 24 dollors
put me brainliest please
Step-by-step explanation:
4-10$
7-5$
3 more-10$
2 more with =Tamara- 10$
find the length of x
Answer:
x = 2.5
Step-by-step explanation:
It is given based on the topic that these are similar right triangles. Note the placement of the right angles. The 2 and x are base, while the 7.5 and 6 are hypotenuses. There are a couple of ways you can set the equation, but in this case I will set it as [tex]\frac{base}{hypotenuse}[/tex]
Set the equation:
[tex]\frac{2}{6} = \frac{x}{7.5}[/tex]
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 6 and 7.5 to both sides of the equation:
[tex]7.5 * 6 * (\frac{2}{6}) = (\frac{x}{7.5}) * 6 * 7.5\\7.5 * 2 = x * 6[/tex]
Simplify. First, multiply, then isolate the x by dividing 6 from both sides:
[tex]7.5 * 2 = 6x\\15 = 6x\\\frac{15}{6} = \frac{6x}{6} \\x = \frac{15}{6} = 2.5[/tex]
Plug in 2.5 for x in the equation to see if the equation comes out true:
[tex]\frac{2}{6} = \frac{2.5}{7.5}\\[/tex]
Multiply 6 and 7.5 to both sides of the equation:
[tex]6 * 7.5 * \frac{2}{6} = \frac{2.5}{7.5} * 7.5 * 6\\7.5 * 2 = 2.5 * 6\\15 = 15[/tex](True)
~
2.5 is your answer for x.
~
Please solve will give Brainly
Answer:
60
Step-by-step explanation:
Pretty sure
Which choice represents the simplified exponential expression?
(7^4)^6
Answer:
(a^b)^c
=a^bc
so
7^24 is the answer
1.915812 × 10^20
Step-by-step explanation:
7^24
7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7
PLS ANSWER THIS WITH STEPS!!
Tim drives the Grand Avenue bus route. He records the total number of
passengers each week for 4 weeks.
The mean and mean absolute deviation of the data are shown.
● Mean: 17,123
● Mean absolute deviation: 611
Select all the possible numbers of riders for week 5 that are within the
mean absolute deviation.
A 16,297
B 16,809
C 17,724
D 17,956
E 18,013
Answer: A and C are the correct answers
Step-by-step explanation:
Your welcome ;)
The possible numbers of riders for week 5 are option (B) 16809 and option (C) 17724 is the correct answer.
What is a mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
What is a mean absolute deviation?Mean absolute deviation (MAD) is a way to describe variation in a data set. It is the average distance between each data value and the mean.
For the given situation,
Tim drives the Grand Avenue bus route. He records the total number of passengers each week for 4 weeks. The details are
Mean = 17,123 and
Mean absolute deviation = 611
The possible numbers of riders for week 5 that are within the mean absolute deviation can be calculated by adding and subtracting the MAD value with the mean value.
[tex]17123-611=16512[/tex]
[tex]17123+611=17734[/tex]
Thus the range should lie between [tex]16512[/tex] and [tex]17734[/tex]. The possible numbers of riders for week 5 that are within the mean absolute deviation are 16809 and 17724.
Hence we can conclude that the possible numbers of riders for week 5 are option (B) 16809 and option (C) 17724 is the correct answer.
Learn more about mean and mean absolute deviation here
https://brainly.com/question/17846118
#SPJ2
what is the value of (-15/8 + l.5) divided by (15-14 3/4)
Answer:
-1 1/2
Step-by-step explanation:
1.5 = 1 4/8 = 12/8
(-15/8 + 12/8) = -3/8
(15-14 3/4 = 1/4
-3/8 ÷ 1/4 = -3/8 × 4/1 = = -3/2 or -1 1/2
How many times larger is 350,000 than 350?
Answer:
1000 times larger
Step-by-step explanation:
350,000 ÷ 350
1000
The stock of Company A lost $0.91 throughout the day and ended at a value
of $51.09. By what percentage did the stock decline?
Answer:
1.75
Step-by-step explanation:
just check and that person was wrong
Answer: 1.75%
Step-by-step explanation: new value: $51.09
51.09+0.91=\$52.00
Old value: 51.09+0.91=$52.00
52(1-r)=51.09
52(1−r)=51.09
{52(1-r)}{52} ={51.09}{52}
52
52(1−r)
= 1.75%
18,250 new species are discovered each year on plane earth. how many are found each day? ( giving brainliest )
Answer:
50 species every day
Step-by-step explanation:
the product of (y + 2) and (y - 2) if y=7
Lamont and Carmela both wrote an expression to show the area of the shaded region.
Lamont wrote: 6(m-2)
Carmela wrote: 6m-12
Whose expression is correct?
Answer:
Both expressions are correct
6(m-2) = 6m-12
Lamont's expression is factoring or factorising
Carmela's expression is expanding
What is the relationship between DE and FG ? Select all that apply.
Could you add more information like the picture of the figure where these lines are from?
Answer:
I need more info to answer this question.
Step-by-step explanation:
Point M is the midpoint of Ac. Find the coordinates of M. A(2, 3), C(6. 10)
Answer:
coordinates of M will be (4, [tex]\frac{13}{2}[/tex])
Step-by-step explanation:-
To find the coordinates of the midpoint, we can use this equation:-
[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]
M is the midpoint of AC, where A is (2,3) and B is (6, 10)
So, x1 will be 2,
x2 will be 6
y1 will be 3
and y2 will be 10.
So, substituting these in the equation, we get:-
[tex]\frac{2 + 6}{2} , \frac{3+10}{2}[/tex]
[tex]\frac{8}{2} , \frac{13}{2}[/tex]
4, [tex]\frac{13}{2}[/tex]
So, the coordinates of the point M will be 4, [tex]\frac{13}{2}[/tex]
Which is not a true statement?
A. All squares are parallelograms
B. Some rhombi are squares
C. All rectangles are squares
D. All rectangles are parallelograms
Answer:
D is the answer to the problem
T shirts are on sale: you can either buy 4 shirts for $25.25, or 6 shirts for $43.25. Which is the better deal?
Will mark brainliest if correct!
a trapezoid is not a type of parallelogram true or false
21. 5c+d=c+40
(a) Find the ratio c:d
A 5-pack of baseball caps costs $5.18. What is the unit price?
Answer:
5.18÷5=1.036 so round up to 1.04
Step-by-step explanation:
work is shown and pictured.
Billy invites 11 friends to his house for a meal.
He decides to make apple pie.
Billy has this list of ingredients.
Apple pie
serves 4 people
750 g apples
25 g caster sugar
150 g plain flour
50 g butter
75 g brown sugar
Billy has 2500 g of apples.
(a) Does he have enough apples to make apple pie for 12
people?
Show a check of your working.
(4)
Answer:
the answer is in the photo
Step-by-step explanation:
Suppose that the weights of 1-year-old boys are approximately normally distributed with a mean of 22.8 lbs and a standard deviation of about 2.15 lbs. Part 1: Find the probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs. Part 2: Find the probability that the mean weight for a sample of size 10 1-year-old boys will be less than 25 lbs. Part 3: Explain the difference between Part 1 and Part 2.
Answer:
1: 0.8461 = 84.61% probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.
2: 0.9994 = 99.94% probability that the mean weight for a sample of size 10 1-year-old boys will be less than 25 lbs
3: In part 2, we use the sampling distribution of the sample means, which has more values closer to the mean due to the smaller standard error, so a higher probability of finding a mean less than 25 lbs.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 22.8 lbs and a standard deviation of about 2.15 lbs.
This means that [tex]\mu = 22.8, \sigma = 2.15[/tex]
Part 1: Find the probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.
This is the pvalue of Z when X = 25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 22.8}{2.15}[/tex]
[tex]Z = 1.02[/tex]
[tex]Z = 1.02[/tex] has a pvalue of 0.8461
0.8461 = 84.61% probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.
Part 2: Find the probability that the mean weight for a sample of size 10:
Now [tex]n = 10, s = \frac{2.15}{\sqrt{10}}[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{25 - 22.8}{\frac{2.15}{\sqrt{10}}}[/tex]
[tex]Z = 3.24[/tex]
[tex]Z = 3.24[/tex] has a pvalue of 0.9994
0.9994 = 99.94% probability that the mean weight for a sample of size 10 1-year-old boys will be less than 25 lbs
Part 3: Explain the difference between Part 1 and Part 2.
In part 2, we use the sampling distribution of the sample means, which has more values closer to the mean due to the smaller standard error, so a higher probability of finding a mean less than 25 lbs.
can someone pls help me
Answer:
2nd option
Step-by-step explanation:
Determine the perimeter of the composite figure.
Answer:
50.26 if you use 3.14 for pi
50.35 if you use 3.15 for pi
Step-by-step explanation:
First, we find the circumference of the circle in the center.
(15 - 3 - 3)/2 = 4.5
4.5 is the radius
Equation for circumference: 2*pi*r
2*pi*4.5
9pi
Depending on where you normally use 3.14 or 3.15 for pi changes the answer but for this example I will use 3.14
The circumference of the circle is 28.26
Next, add the other sides of the figure.
28.26 + 3 + 3 + 3 + 3 + 5 + 5 = 50.26
PLS I NEED HELP!!
Will mark
As y increases by 10, x increases by 5.
Which equation represents this rate of
change?
Answer:
H) y = 2x
Step-by-step explanation:
How to estimate 2 5/6, please answer asap
Answer:
17/6 or 2.83 if simplified