Mathematics College

Last​ year, a person wrote 134134 checks. let the random variable x represent the number of checks he wrote in one​ day, and assume that it has a poisson distribution. what is the mean number of checks written per​ day? what is the standard​ deviation? what is the​ variance?

Answers

Answer 1
Answers:

(a) mean = 367.24
(b) standard deviation = 19.17
(c) variance = 367.24

Explanations: 

(a) Let [tex]\lambda[/tex] = rate parameter of parameter, which is the rate at which the number of checks are made in one day.

Since the person wrote 134,134 checks in last year, we can compute the rate parameter by dividing 134,134 by 365.251 because there are 365.251 days in a year. So,

[tex]\lambda = \frac{134,134}{365.251} \approx 367.237872[/tex]

Since the number of checks in one day follows a Poisson distribution, the mean number of checks in one day is the rate parameter [tex]\lambda[/tex]. Hence, the mean number of checks in one day is approximately 367.24.

(b) Since the number of checks in one day follows a Poisson distribution, the variance is equal to the rate parameter. Since the standard deviation is the square root of variance, the standard deviation is the square root of the rate parameter. In terms of equations,

[tex]\text{standard deviation} \\ = \sqrt{\lambda} \\ = \sqrt{\frac{134,134}{365.251}} \\ \boxed{\text{standard deviation} \approx 19.17}[/tex]

(c) As mentioned in (b), because the number of checks written per day follows poisson distribution, the variance is equal to the rate parameter. Since the rate parameter is approximately 367.24, therefore the variance is approximately 367.24.

Related Questions

Help with this math question please!!

Answers

The given equations are:

1) x = 12+ y
 
2) 4x + 9y = - 17

Using the value of x from first equation and substituting it in second equation, we get:

[tex]4(12+y)+9y=-17 \\ \\ 48+4y+9y=-17 \\ \\ 13y=-65 \\ \\ y=-5[/tex]

Using this value of y in first equation to find x:

[tex]x=12+y=12+(-5) \\ \\ x=12-5 \\ \\ x=7[/tex]

Therefore, the solution to the given equation is (7, -5)

What is the length of a leg of the pre-image, triangle RST? 4 units 8 units 16 units 20 units

Answers

16 units this is the answer

Answer:

the answer is 16 units if this is what the question looks like

Find the first five non-zero terms of maclaurin series (taylor series centered at x=0x=0) for the function below. f(x)=x2ex

Answers

Consider this option (see the attachment).
Final answer:

To find the first five non-zero terms of the Maclaurin series for f(x) = x^2e^x, we differentiate the function multiple times and evaluate the derivatives at x=0. We then use the formula for the Maclaurin series to find the general terms of the series. The first five non-zero terms are 0.25, 0.5x, 0.25x^2 + 0.25, (2/3)x^3 + (2/3)x^2 + 0.25x, and (1/3)x^4 + (1/2)x^3 + (1/3)x^2 + 0.25x.

Explanation:

The Maclaurin series (Taylor series centered at x=0) for the function f(x) = x2ex can be found by expanding the function as a power series.

To find the first five non-zero terms, we begin by finding the derivatives of the function and evaluating them at x=0.

f'(x) = 2xex + x2ex, f''(x) = 2ex + 4xex + x2ex, f'''(x) = 6ex + 12xex + 6x2ex + x3ex

For the Maclaurin series, the general term is given by Tn(x) = f(n)(0) * (x-0)n/n!

Substituting the values of f(n)(0) for n = 0, 1, 2, 3, 4, we obtain:

T0(x) = 0.25T1(x) = 0.5xT2(x) = 0.25x2 + 0.25T3(x) = (2/3)x3 + (2/3)x2 + 0.25xT4(x) = (1/3)x4 + (1/2)x3 + (1/3)x2 + 0.25x

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The area of a square floor on a scale drawing is 100 cm² and the scale of the drawing is one CM : 2 feet. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

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frywyhhwrhhryheh 20ft 50 ft

2 groups of students were acts how many hours they spent reading each day the table below shows the numbers for each group

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Where is the table because i will need the table to answer this specific complex problem

grandma baked cookies, she gave 7 to Sandy . she gave half of what was left plus 1 to sue. she gave 3 to Stan. then she gave half of what was left to Steve. since there was only 2 left she ate them herself. how many cookies did ahe bake?

Answers

Let's see. We know that x > 13 for sure. That's because we have 4 constant numbers: 7, 1, 3, 2. The total amount of cookies must be larger than 13 because those numbers equal 13 already. 

If you then look, it says that after Sandy and Sue and Stan, Steve was given half of the cookies left. After Steve's cookies were given, there were only two left for grandma. That means Steve got 2 cookies, because grandma also got 2. Now we know that the total amount of cookies must be > than 15.

But using this information, we know that after 3 cookies were given to Stan, there were 4 cookies (b/c 2 + 2 = 4). This also means that before 3 cookies were given to Stan, there were 7 cookies (b/c 4 + 3 = 7). 

So now I did a little trial and testing. After a few tries, I've found the answer. Grandma baked 23 cookies in total. 

23 - 7 = 16. 16 / 2 = 8. 8 + 1 = 9. 16 - 9 = 7. 7 - 3 = 4. 4 / 2 = 2. 4 - 2 = 2. 

Sorry if this was a tad confusing, hope it helps though!

1410+0515 in milartary time

Answers

That would be 1925  ( 15 + 05 = 19 and 10 + 15 = 25)
19:25 or if you want it standard it would be 7:25pm

With a mortgage of $48,000 for 15 years with a rate of 11%, what are the total finance charges?

Answers

From the information given, the total finance charges for the mortgage will be given by:
M=P{[r(1+r)^n]/[(1+r)^n-1]}
P=$48,000
r=11%
n=15 years
Hence substituting the values in our formula we get:
M=48,000{0.11(1+0.11)^15}/{(1+0.11)^15-1}
M=6675.131
thus total charges will be:
48000+6675.131
=$54675.131

Answer:  

$50,236.80 Correct

Step-by-step explanation:

Andrew earns an allowance of $14 the first week, $17 the next week, $20 the following week, and so on.

How much will Andrew earn over the course of 10 weeks?

Answers

Hey there!

First, we need to find out the pattern here:

The allowance keeps adding up by the number 3 (14 + 3 = 17, 17 + 3 = 20)
Now let's just keep adding 3:

Week 1 - $14
Week 2 - $17
Week 3 - $20
Week 4 - $23
Week 5 - $26
Week 6 - $29
Week 7 - $32
Week 8 - $35
Week 9 - $38
Week 10 - $41

Add up the weeks . . .

14 + 17 = 31
31 + 20 = 51
51 + 23 = 74
74 + 26 = 100
100 + 29 = 129
129 + 32 = 161
161 + 35 = 196
196 + 38 = 234
234 + 41 = 275

Your final answer is 275. Andrew will earn $275 over the course of 10 weeks.

Hope this helps you.
Have a great day!

35x+19−320x−7 simplified is

Answers

Final answer:

The simplified version of the algebraic expression 35x + 19 - 320x - 7 is -285x + 12, which is achieved by combining like terms.

Explanation:

The expression 35x + 19 - 320x - 7 can be simplified by combining like terms. First, gather the x terms and the constant terms:

Combine the coefficients of x terms: (35 - 320)x = -285x.Combine the constant terms: 19 - 7 = 12.

Putting it together, we get -285x + 12.

When simplifying algebraic expressions, always remember to eliminate terms wherever possible and check your answer to ensure its reasonableness.

A chestnut falls from a tree 45 feet above ground.Use the vertical motion model to find how long it takes to hit the ground.Round your answer to the nearest tenth.

Answers

ok so please check if im wrong its 25

What is the equation for the line of curve of best fit for the following data?

{(4, 32), (20, 808), (17, 662), (8, 125), (13, 307)}

Option 1. y = -240x + 50.5

Option 2. y = 50.5x - 240

Option 3. y = 2.2x^2 - 1.6x - 1.6

Option 4. y = -0.08x^4 + 3.7x^3 - 56.6x^2 + 361.5x - 726.9

Answers

Correct answer:
Option B. y = 50.5x - 240 

If we plot these points on a graph, we will observe that these points mostly lie in a straight line. Therefore, a straight line will be the best fit for the given ordered pairs. The equation of the best fit can be found using any tool like Statistica, Stata or Excel. I have used Microsoft Excel to plot the lines and find the equation of best fit. The graph and equation are shown below in the image attached with:

Which of the following is not a benefit of contributing to a retirement account? A. No need to pay taxes
B. Reduction in taxable income
C. Employer matching
D. Contributions earning interest once deposited

Answers

Answer:

option A is correct, i.e. "No need to pay taxes" is not a benefit of contributing to a retirement account.

Step-by-step explanation:

Retirement Accounts are suitable for getting regular income after retirement age. It helps in accumulating wealth for retirement by contributing small amounts in regular interval during employment. Its features are reduction in taxable income, employer matching, and contributions earning interest once deposited. Still there are some chances to pay taxes as per relevant income slabs.

Hence, option A is correct, i.e. "No need to pay taxes" is not a benefit of contributing to a retirement account.

The correct answer is A. No need to pay taxes is not a benefit of contributing to a retirement account.

Let's examine each option to understand why option A is the correct

A. No need to pay taxes: This statement is not entirely accurate. While some retirement accounts, like Traditional IRAs or 401(k)s, allow for tax-deferred contributions (meaning contributions are made with pre-tax dollars, which can lower your current taxable income), taxes are still due upon withdrawal in retirement. Roth IRAs, on the other hand, are funded with after-tax dollars, meaning there's no tax benefit upfront, but qualified withdrawals in retirement are tax-free. Therefore, the statement No need to pay taxes is misleading because taxes are either paid upfront or upon withdrawal, depending on the type of retirement account.

B. Reduction in taxable income: This is a benefit of contributing to certain types of retirement accounts, such as Traditional IRAs and 401(k)s. Contributions to these accounts are made with pre-tax dollars, which can reduce your taxable income for the year in which you contribute.

C. Employer matching: Many employers offer a matching contribution to employees who contribute to a retirement account, such as a 401(k). This is essentially free money and can significantly boost your retirement savings.

D. Contributions earning interest once deposited: Retirement accounts typically invest your contributions in various financial instruments, such as stocks, bonds, or mutual funds, which can earn interest, dividends, or capital gains over time. This compounding of returns is a key benefit of contributing to a retirement account, as it can lead to substantial growth of your savings over the long term.

meg is calculating the amount of water that a cylinder will hold is that surface area or volume???

Answers

Let us first define surface area and volume. Surface area is the sum of the areas of the faces of a three-dimensional figure. In other words, surface area is just the outside part of the figure. Volume is the space an object occupies, so essentially its size.

Meg is trying to calculate the amount of water a cylinder can hold; that means she is calculating the how much space the cylinder has inside it. Meg is finding the cylinder's volume.

Is 8 lbs greater than less than or equal to 80 oz

Answers

1 lb = 16 oz
8 lb = ?

To get to pounds to ounces, you multiply by 16, since 1 pound is 16 ounces.

8 x 16 = 128 oz

128 oz > 80 oz
8 lbs is equal to 128 oz.

So, 8 lbs is greater than 80 oz.

PLEASE MARK AS BRAINLIEST.

About 2 months ago, you got a $2,000 180-day 13% consumer loan. Today you made a $1,000 payment, resulting in a balance of $1,042.74. Thirty-eight days later you pay the loan in full. Calculate the total amount of that payment. Assume a 365-day year.

Answers

P +I = P +Prt = P(1 +rt)
.. = $1042.74*(1 +0.13*38/365) = $1056.85

EXPERTS/ACE/GENIUSES HELP PLZ!!:)

Answers

x = 16/2 = 8
 Answer is A

Help ASAP please!! I will mark the smartest!

Answers

x = sqrt(13^2 - 12^2)

x = sqrt (169 - 144)

x = sqrt(25)

x = 5

Find two different sets of parametric equations for the given rectangular equation (there are many correct solutions) x^2+4y^2 - 16=0

Answers

Daw load photo maths

Two angle add up to be complementary if one angle is 15 degree more than 2 times the other find the value of the smaller side

Answers

Let x and y represent the two angles.
.. x + y = 90 . . . . . . two angles are complementary
.. x -2y = 15 . . . . . . one angle is 15 more than twice the other (y = smaller angle)

Subtract the second equation from the first.
.. (x +y) -(x -2y) = (90) -(15)
.. 3y = 75
.. y = 25

The smaller angle is 25 degrees.

Kenneth has a round tablecloth. According to its package, it has an area of 3.14 square yards. What is the tablecloth's radius? Use 3.14 for ​pi

Answers

See picture reply for answer.

rihanna has a spinner, which is divided into four equal parts. the parts are numbered 1, 2, 3, and 4. if rihanna spins the spinner and tosses a coin, which table shows all the possible outcomes

Answers

Total parts in which a spinner is divided = 4

Each part is named as 1,2,3,4.→Total possible outcome when spinner gets in the motion.

When we toss a coin , total possible outcome = {H,T}

So, all the possible outcome when Rihana spins the spinner and tosses a coin = {H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4}=8



Answer:

that it c and it was is

At an amusement park, 39 out of 52 tickets sold were discount tickets. What percentage of the tickets were discount tickets? Write your answer using a percent sign (%).

Answers

Final answer:

To calculate the percentage of discount tickets sold, divide the number of discount tickets (39) by the total tickets sold (52) and multiply by 100, which results in 75%.

Explanation:

To find the percentage of discount tickets sold at the amusement park, we set up a ratio of discount tickets to total tickets sold and then convert it to a percentage. There were 39 discount tickets out of a total of 52 tickets sold. The formula to calculate the percentage is:

(Number of discount tickets / Total number of tickets) × 100

So, the calculation would be:

(39 / 52) × 100 = 0.75 × 100 = 75%

Therefore, 75% of the tickets were discount tickets. This is how you calculate the percentage of discount tickets.

Final answer:

To find the percentage of discount tickets, divide the number of discount tickets by the total number of tickets and multiply by 100. In this case, the percentage of discount tickets is 75%.

Explanation:

To find the percentage of discount tickets, we need to divide the number of discount tickets by the total number of tickets and then multiply by 100.

Number of discount tickets = 39

Total number of tickets = 52

Percentage of discount tickets = (39/52) * 100 = 75%

A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function =S+18.950.40M , where M is the number of miles driven. The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+5.700.25M . Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M . Simplify your answer as much as possible.

Answers

So the total cost (C) would be equal to the standard charge (S) plus the insurance charge (I). You would plug in the numbers for each into an equation C= S + I.

Unfortunately, I do not understand the numbers given in the equation. There should be a variable for m (the number of miles driven). Although there is an m in the question, the numbers in front of it for the standard charge or insurance do not make sense to me. =I+5.700.25M and
=S+18.950.40M.

Example:
If I was 5.7 + 25m and S was 18.95 + 40m, the equation would look like:
C= S + I
C= 18.95 + 40m + 5.7 + 25m
C= 65m + 24.95

Thanks for asking for my help! Sorry I could not be of more help for you!! :(
Final answer:

The equation relating the total charge (in dollars) for a car rental that includes insurance, C, to the number of miles driven, M, is C = 24.65 + 0.65M.

Explanation:

The total charge C (in dollars) for a car rental that includes insurance can be represented by the equation C = S + I. Given that S = 18.95 + 0.40M (where M is the number of miles driven) and I = 5.70 + 0.25M, we can substitute these values into the equation:

C = (18.95 + 0.40M) + (5.70 + 0.25M)

Simplifying the equation gives: C = 24.65 + 0.65M. Therefore, the equation relating C to M is C = 24.65 + 0.65M.

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Beau made a new hamster house for dr cheeks out of 125.5 craft sticks.each stick weighs 0.5 ounce how much does the hamster house weigh

Answers

1. The problem gives the following information:
 
 - The new hamster house has 125.5 craft sticks.
 - The weight of each stick is 0.5 ounces.
 
  2. Then, you have:
 
 1 stick----------0.5 ounces
 125.5 sticks---x
 
 x=(125.5x0.50)/1
 x=62.75/1
 x=62.75 ounces
 
 How much does the hamster house weight?
 
 The answer is: The hamster house weights 62.76 ounces

Answer:

its 62.75

Step-by-step explanation:

not 62.76 because you estimate ..

Help please!!! thanks

Answers

G, H, I are the only set of points listed that lie on the same line.

The 1st selection is appropriate.

Without graphing the lines to the equations, given any two linear equations explain how you can tell if the lines of the two equations are parallel.

Answers

To check whether the two lines are parallel or not, without using graphing, first we write them in slope intercept form , which is

[tex] y=mx+b [/tex]

Now we compare the slopes of both lines and if the slopes are equal, then the lines are parallel .

So without graphing, we can also check whether the given lines are parallel or not .

To determine if two lines are parallel without graphing, compare their slopes by putting both equations in the format y = mx + b; if they have the same slope (m) but different y-intercepts (b), they are parallel.

To determine if the lines from two linear equations are parallel without graphing them, you need to compare their slopes. In equations of the form y = mx + b, m represents the slope, and b represents the y-intercept. For example, for the equations y = -x + 1 and y = 0.5x - 0.5, the slopes are -1 and 0.5, respectively. Because the slopes are different, these lines are not parallel. If two linear equations have the same slope but different y-intercepts, their lines will be parallel. Parallel lines never intersect; hence, there is no point common between them.

It's also important to recognize that the coefficients of x in each equation suggest the direction of the line when converting to y = mx + b format if it's not already in this form. If the equations are given in the standard Ax + By = C form, it is necessary to rearrange them to the slope-intercept form to compare slopes easily.


Item 5Find the percent of the number.

175% of 54 is .

Answers

Hello,

The answer is "x=94.5".

Reason:

54/x=100/175
(54/x)*x=(100/175)*x       - we multiply both sides of the equation by x
54=0.57142857142857*x       - we divide both sides of the equation by (0.57142857142857) to get x
54/0.57142857142857=x
94.5=x
x=94.5

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Marcus volunteered for 4 1/2 hours this week. Beth volunteered for 1 1/2 times as long as Marcus. For how many hours did Beth volunteer? Use words, numbers, or a model to justify your answer.

Answers

Beth did 6.75 hours. 4.5x1.5=6.75

Experts/ace/geniuses helpp

Answers

0.32 = 32/100 = 8/25
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