"a comparison of nine confidence intervals for a poisson parameter when the expected number of events is ≤ 5,

Answers

Answer 1

The exact interval for researchers who want real coverage that is at least nominal and a modified version of the variance stabilized interval for those who are OK with approximative coverage.

Let [tex]{ X_{i} }^{n} _{i = 1}[/tex] be a group of independent variables with Poisson distribution and the same distribution. Confidence intervals for can be created using a variety of methods, including the Wald method, precise inference, a variance stabilizing transformation, and many others. Actual and nominal coverage can differ significantly when n is small. For a Poisson mean, we compare nine confidence intervals in terms of coverage and expected width of the confidence bounds. We demonstrate that, for small n, only the exact interval maintains coverage probabilities; the scores interval maintains coverage probabilities roughly, but its expected width is greater than that of the exact interval.A modified confidence interval based on the variance stabilized confidence interval has coverage properties close to the nominal and an expected width that is not particularly large. Therefore, we advise using the exact interval for researchers who want real coverage that is at least nominal and a modified version of the variance stabilized interval for those who are OK with approximative coverage.

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Related Questions

Please help urgent!
Ex 3: Quadrilateral ABCD is a parallelogram.
a) m/BAC = 54°,
find m/DCA =
D
D
A
c) m/DCB = 142° & m/DCA =
37⁰,
find m/BAC=
D
A
E
A
E
7
C
e) AE = 14 cm & DE = 18 cm,
find EB =
E
B
?
C
B
B
find m/DAB =
D
D
d) m/ABC = 73° &
m/DBA = 31°,
find m/DBC =
b) m≤ADC = 78°,
D
A
A
A
E
O
E
f) EC = 10 cm & EB = 15 cm,
find AC =
E
C
B
OB
C
B

Answers

Answer:

36 = 69

Step-by-step explanation:

45

The answer to Gprahing systems of equations

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the product of −2 1/4 and 2 1/2?
help me

Answers

The problem is asking for the product, meaning we need to multiply.

-2 1/4 * 2 1/2

To make multiplying easier, we can convert the mixed numbers into improper fractions.

2 * 4 = 8, + 1 = 9/4

2 * 2 = 4, + 1 = 5/2

Now, we have this:

-9/4 * 5/2

Since the denominators are different, we can find the least common multiple of the denominators to make them the same. In this case, the least common multiple of 4 and 2 is 4.

-9/4 * 1 = -9/4

5/2 * 2 = 10/4

Now, we have this:

-9/4 * 10/4

We can now multiply!

-9 * 10 = -90

/4 * /4 = /16

= -90/16

You can simply the improper fraction if you'd like.

-90 / 16 = -5.625

So, our answer is -90/16, or -5.625.

The sum of two consecutive integers is 187. Find the integers.​

Answers

the answer is 93 and 94
93, and 94

dividing the sum by two, you can find
the two integers together. Subtracting 1
from one of the halves(In this case, 0.5, as
187/2 is 93.5),

To make pizza sauce for 2 pizzas, you need 2 cans of tomato sauce for every 1 can of tomato paste. If you have 6 cans of tomoto sauce, how many cans of tomatoe paste do you need and how many pizzas can you make?

Answers

Answer:

3 cans of tomato paste and 6 should be correct

pls help me
Which expression is equivalent to -5 + 6
A:-5+6
B:5+6
C:5-6
D:6-5

Answers

Answer:

-5+6 = 1

6-5 = 1

therefore, the answer is D.

Answer:

D

Step-by-step explanation:

-5+6=+1

and 6-5=+1

since both are equal to 1

D is the answer

I need help with the delta math order signed number (level 2) Drag the numbers below to put them in order from least to greatest

Answers

The numbers ordered from least to greatest are- 2.14, 2.2, 2.221, 2.276, 2.26, 2.291.

Here, we are given 6 numbers-

2.2, 2.276, 2.291, 2.14, 2.26, 2.221

Now, we can add as many zeroes as we want after the decimal, it does not change the value of the number.

Thus, let us make all the numbers 3 digit decimal numbers

2.200,  2.276,  2.291,  2.140,  2.260,  2.221

Here, all the numbers have 2 in the units place, so we just need to compare the decimals

The first digit after decimal is 2 in all the numbers except 2.140, thus it is the smallest.

Then, the second digit after decimal is 0 in 2.200, thus it is the next smallest number.

By similar logic, looking at the second digit after the decimal only we can arrange the remaining numbers as 2.221, 2.276, 2.260, 2.291.

Thus, the numbers ordered from least to greatest are- 2.14, 2.2, 2.221, 2.276, 2.26, 2.291.

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Your question was incomplete. Please check for full content below-

Drag the numbers below to put them in order from least to greatest

2.2, 2.276, 2.291, 2.14, 2.26, 2.221

I need help with these questions

Answers

Answer:

17. (2/5)

19. (-7/3)

21. (2/3)

Step-by-step explanation:

17.

    5            5             1

- -------n + ------n = - ------

    2            4             2

    5 (2)       5             1 (2)

- -------n + ------n = - ------

    2 (2)       4             2 (2)

   10            5             2

- -------n + ------n = - ------

    4            4             4

   10            5             2

(- -------n + ------n = - ------) (4)

    4            4             4

-10n + 5n = -2

-5n = -2

÷ -5 ÷-5

n = (2/5)

----------------------------------------------------------------------------------------------------------

19.

 3           15           21

-------n - -------n = -------

 2             4           4

 3 (2)      15           21

-------n - -------n = -------

 2 (2)       4            4

  6           15           21

(-------n - -------n = -------) (4)

  4             4           4

6n - 15n = 21

-9n = 21

÷-9   ÷-9

n = (-7/3)

----------------------------------------------------------------------------------------------------------

21.

     1                    5

- -------n - n =  - -------

     4                   6

   1 (3)               5 (2)

- -------n - n =  - -------

   4 (3)               6 (2)

     3                   10

- -------n - n =  - -------

    12                   12

     3                      10

(- -------n - n =  - -------) (12)

    12                      12

-3n - 12n = -10

--15n = -10

÷-15    ÷-15

n = (2/3)

----------------------------------------------------------------------------------------------------------

I hope this helps!

John Picks Up 2 Apples And Removed 1, And He Picked Up 10 Apples And Gave Away a Half Of Apples To Anyone! John Finally Picks Up 3 Apples And 6 Oranges, How Many Did John Have?

Write Down Your Answers Below!

Subjects : Mathematics, Life, John's Fruit Blast!

Answers

Answer:

14 1/2 fruits

Step-by-step explanation:

who discovered zero?​​

Answers

Answer:

"Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628," said Gobets. He developed a symbol for zero: a dot underneath numbers.


Find the distance between the following pair of points.

A(-3,1), B(7,13)

Answers

Answer:

15.6 units (3 s.f.)

Step-by-step explanation:

The distance between 2 points is given by the formula below, where [tex](x_1, y_1)[/tex] is the first coordinate and [tex](x_2, y_2)[/tex] is the second coordinate.

[tex]\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

Using the distance formula above,

distance between A(-3, 1) and B(7, 13)

= [tex]\sqrt{(13-1)^{2} + [7-(-3)]^{2} } }}[/tex]

= [tex]\sqrt{12^2+(7+3)^2}[/tex]

= [tex]\sqrt{244}[/tex]

= 15.6 units (3 s.f.)

Additional:

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D(-4,1),A(-2,5,s(-1,4)N(-1,2

Answers

All of the coordinates in the attached screenshot are in the second quadrant.

솓ㄱㄷ 샤 냐 :)
THERE...........

Answers

Answer:

60 percent

I think it is 60 but you might need a more certifyd answer

Answer:  250%

==================================================

Explanation:

A is 40% of B

This translates to the equation A = 0.40B or A = 0.4B

This is because 40% converts to 0.40 in decimal form

Let's divide both sides by 0.4 to isolate B

A = 0.4B

A/0.4 = B

B = (1/0.4)A

B = 2.5A

This shows that B is 250% of A

------------

Another approach:

40% = 40/100 = 2/5

"A is 40% of B" is the same as "A is 2/5 of B

So,

A = (2/5)*B

5A = 2B

2B = 5A

B = 5A/2

B = (5/2)A

B = 2.5A

which is another way to show that B is 250% of A

what is the answer to this problem?

Answers

10

_

8

Step-by-step explanation:

corect me if i wrong

Tom and ben both get paid the same amount for every hour they work. tom worked 5 hours and ben worked 6 hours. together, they received r1 430. how much money did each receive?

Answers

Tom and Ben received 650 and 780 respectively.

Let the amount paid to each for every hour they work be x. Now, forming the equation as per the given information in question.

5x + 6x = 1430

Performing addition to find the value of x.

11x = 1430

Shifting 11 to Right Hand Side of the equation

x = 1430 ÷ 11

Performing division to find the value of x

x = 130

Now finding the amount received by Tom and Ben based on the number of hours they worked.

Amount received by Tom = 5x

Amount received by Tom = 5 × 130

Amount received by Tom = 650

Amount received by Ben = 6x

Amount received by Ben = 6 × 130

Amount received by Ben = 780

Therefore, the amount received by Tom and Ben are 650 and 780 respectively.

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The cost, c, for catering a luncheon using Right On Catering is c=120+12m+10v where m is the number of meat lunches and v the number of vegetarian lunches being served at the luncheon.

a.) Solve the equation for v.

b.) If the cost for the luncheon was $558 and 24 attendees ordered the meat lunches, how many vegetarian lunches were served?

Answers

Answer:

if the cost for the luncheon was $558

and 24 attendees ordered the meat lunches , how many vegetarian lunches were

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the coordinate of the midpoint of the segment with the given endpoints.
-6 and -4

Answers

The coordinate of the midpoint of the segment with the given endpoints is (-1, 0)

Midpoint of a line

The midpoint of a line is the point that divides the line into two equal parts.

The formula for calculating the midpoint is expressed as;

M(x, y) = (x₁+x₂/2, y₁+y₂/2)

Using the coordinate points (-6, 0) and (-4, 0)

M(x, y) = -6+(-4)/2

M(x, y) = -2/2

M(x, y) =-1

Hence the coordinate of the midpoint of the segment with the given endpoints is (-1, 0)

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Alexander said: "All primes are odd,
except the number 2. Therefore, all odd numbers are prime numbers.
prime." Do you agree with Alexander? Explain your answer.

Answers

No

Step-by-step explanation:

All numbers that are prime are odd and If the number is divisible by 2 it would be a composite number

HELP URGENT!! EVERYTHING INCLUDED IN PHOTO!!

Answers

Answer:

Part A is 63-7.5

Step-by-step explanation:

The lengths of the three sides of a triangle (in centimeters) are consecutive odd
integers. If the perimeter is 45 centimeters, find the value of the shortest of the three
side lengths.

Answers

Answer:

13, 15,17

Step-by-step explanation:

Let x = the first number

Let x + 2 = the second number

Let x + 4 = the third number

Consecutive means in order like 1,2,3 or 20,21,22. Consecutive odd means that you want three numbers in order that are odd.  Each number would be 2 more than the number before.  For example 5 + 2 = 7.  We would have to add 4 to 5 to find the next consecutive odd number.

x + (x + 2) + (x +4)  = 45  I put the numbers in parentheses so you could see the first number plus the second number plus the third number equals 45

x + x+ 2 + x+ 4 = 45  Combine like terms

3x + 6 = 45  Subtract 6 from both sides of the equation.

3x = 39  Divide both sides by 3

x = 13

Add 2 to that to get the next odd number.

Add 4 to 13 to get the third odd number.

Answer: 13 cm

Step-by-step explanation:

Let the value of the shortest of the three side lengths is x.

Since the three sides of a triangle are consecutive odd

integers, hence: x, x+2, x+4.

Thus,

[tex]P=x+(x+2)+(x+4)\\45=x+x+2+x+4\\45=3x+6\\45-6=3x+6-6\\39=3x\\[/tex]

Divide both parts of the equation by 3:

[tex]13\ cm=x[/tex]

Kiara has $250 in her bank account. Each week she deposits $80 and withdraws $35. Gael has $310 in his account. Each week he deposits $95 and withdraws
$20. Write and solve an equation to determine the week w when Gael and Kiara have the same amounts of money in their account

Answers

The equation to determine the week w when Gael and Kiara have the same amounts of money in their account is 45w + 250 = 75w + 310

What is an equation?

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let w represent the number of weeks.

For Kiara:

Money in account = (80 - 35)w + 250 = 45w + 250

For Gael:

Money in account = (95 - 20)w + 310 = 75w + 310

For both to have same amount of money:

45w + 250 = 75w + 310

The equation to determine the week w when Gael and Kiara have the same amounts of money in their account is 45w + 250 = 75w + 310

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keiko's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs keiko $5.35 per pound, and type b coffee costs $4.05 per pound. this month, keiko made 166 pounds of the blend, for a total cost of . how many pounds of type b coffee did she use?

Answers

Keiko used 83.5 pounds of type A coffee and 82.5 pounds of type B coffee in the blend.

What exactly are algebraic expressions?

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression

Given:

Type A coffee cost $5.35 per pound

Type B Coffee cost $4.05 per pound

Keiko made total 166 pound of the blend of $780.85

Therefore,

[tex]5.35x + 4.05y = 780.85 \;\;\;\;\; -------equation (1)[/tex]

[tex]x + y = 166 \;\;\;\; ---------equation (2)[/tex]

simplify the equation (2),

[tex]y = 166-x[/tex]

Substitute the value of y in equation (1),

[tex]5.35x + 4.05 (166-x) = 780.85[/tex]

[tex]5.35x + 672.3 - 4.05x = 780.85[/tex]

[tex]5.35x-4.05x=780.85-672.3[/tex]

[tex]1.3x=108.55[/tex]

Therefore,

[tex]Total\;pound\;of\;type\;A\;coffee\;is,\;x=83.5\;pounds[/tex]

Substitute the value of x in equation (2),

[tex]y=166-83.5[/tex]

Therefore,

[tex]Total\;pound\;of\;type\;B\;coffee\;is,\;y=82.5\;pounds[/tex]

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Independent Practice For each pair of expressions below, without substituting in specific values, determine which of the expressions in the given pairs is larger. Explain your reasoning in a sentence or two.​

Answers

In the first pair of numbers  15/x² + 6 is larger and in the second pair of numbers (s² + 2)/(s² + 1) is larger

What is Expression in Mathematics?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is two pairs of expressions. From the image given , we can write them as -

Pair 1 f(x) = 15/x² + 6     and       h(x) = 15/x² + 7

Pair 2 → f(s) = (s² + 2)/(s² + 1)    and       h(s) = (s² + 4)/(s² + 3)  

We can compare which expression is larger in both the pairs without substituting any specific value as follows -

Pair 1 →  f(x) = 15/x² + 6     and       h(x) = 15/x² + 7.

The numerator is same in both the functions.

Now, for any value of x ∈ R →  x² + 6 < x² +7  by 1. Therefore, f(x) > h(x)

Pair 2f(s) = (s² + 2)/(s² + 1)    and      h(s) = (s² + 4)/(s² + 3)  

f(s) = (s² + 2)/(s² + 1) = [(s² + 1) + 1]/(s² + 1) = 1 + 1/(s² + 1)

h(s) =  (s² + 4)/(s² + 3) =  [(s² + 3) + 1]/(s² + 3) = 1 + 1/(s² + 3)  

So, we can write that -

f(s) = 1 + 1/(s² + 1)

h(s) = 1 + 1/(s² + 3)  

Now for any value of s →  (s² + 1) < (s² + 3)  by 2. So →  1/(s² + 1) > 1/(s² + 3). Therefore → 1 + 1/(s² + 1) > 1 + 1/(s² + 3). Finally, we can write -

(s² + 2)/(s² + 1) > (s² + 4)/(s² + 3)

Therefore, in the first pair of numbers  15/x² + 6 is larger and in the second pair of numbers (s² + 2)/(s² + 1) is larger.

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Solve for x. please show work for answer on paper
3x – 8 – 4x = -13

A) 3 The weapon was not an algebra book.
B) -3 The weapon was not a promethean pen.
C) 5 The weapon was not a calculator.
D) -5 The weapon was not a protractor.
E) 5/7 The weapon was not cafeteria food.

Answers

Answer:

c) 5

Step-by-step explanation:

Solving for the value of x,

→ 3x - 8 - 4x = -13

→ 3x - 4x = -13 + 8

→ -x = -5

→ [ x = 5 ]

Thus, the value of x is 5.

Answer:

5

Step-by-step explanation:

Use PEMDAS

First you should do is to combine like terms

[tex] - x - 8 = - 13[/tex]

Haveing combined ike terms you need to add 8 to both sides (Like terms are terms that have the same variable like,x)

[tex] - x = - 5[/tex]

Then divide by a negative 1

(this is to get rid of negative x)

[tex]x = 5[/tex]

Hope this helps!

Feel free to ask questions

30 points
how do i solve 4x -1

Answers

Answer: QV=31 units ==> 3rd option

Step-by-step explanation:

SV=QV   ==> Congruent segments are equal

4x-1=QV

TQ=TS   ==> Congruent segments are equal

26=3x+2

26-2=3x+2-2

3x=24

x=8

4x-1=QV

4(8)-1=QV

32-1=QV

QV=31 units ==> 3rd option

Fill in the gap to factorise -16z - 12 = −4(-

Answers

Answer:

- 4(4z + 3)

Step-by-step explanation:

- 16z - 12 ← factor out - 4 from each term

= - 4(4z + 3)

What scale factor would you use to create the copy on the right?

Answers

3

- - - - - - - - - - - - - - - - - - - - - - - -

Work below. Enjoy!

- - - - - - - - - - - - - - - - - - - - - - - -

A simple way to determine the scale factor is to measure a segment's size in units and compare it to the original.

Segment XW = 6 units

Segment EF = 2 units

Now, simply divide the larger (6) by the smaller (2) and you get your answer (3).

- - - - - - - - - - - - - - - - - - - - - - - -

Good luck! :)

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~pinetreee

Assume that​ Tom's Tree and Landscape Service charges ​$ 175 for a consultation fee plus ​$55 per hour for labor and that Lawn Perfect Landscape Service charges ​$325 for a consultation fee plus ​$25 per hour for labor.
​a) Write a system of equations to represent the cost of the two landscaping services.
​b) Graph both equations for 0 to 10 hours on the same axes.
​c) Use the graph to estimate the number of hours of landscaping that must be used for both services to have the same cost.

Answers

Using linear functions, we have that:

a) The system is composed by these following equations: 175 + 55x, 325 + 25x.

b) The graph is given at the end of the answer.

c) From the point of intersection on the graph, both services will have the same cost of $450 for 5 hours of work.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For each function, we have that:

The consultation fee is the intercept.The hourly fee is the slope.

Hence the linear equations that compose the system are given by:

175 + 55x, 325 + 25x.

The graph is given at the end of the answer, and from it, the intersection point is at (5,450), meaning that both services will have the same cost of $450 for 5 hours of work.

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John and Joan shared an amount of money in a ratio 5:7. Joan had $45 more than John - find the amount each received​

Answers

John received $112.5 and Joan received $157.5 respectively as per the given ratio.

John and Joan share the amount in the ratio: 5:7

it is given that Joan had $45 more amount than John, therefore

Let the amount with John be x, so the amount with Joan will be x + 45

Formulating the equation we get:

Amount with John/Amount with Joan = Ratio of money with John/Ratio of money with Joan

x/(x + 45) = 5/7

7x = 5x + 225

2x = 225

x = 112.5

Amount with John  = 112.5

Amount with Joan = 157.5

So, amount John received $112.5 and Joan received $157.5 respectively.

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A square technology chip has an area of 81 centimeters. How long is each side of the​ chip?

The length of each side of the chip is ]]]blank]]]

enter your response here cm.
​(Simplify your​ answer.)

Answers

The length of each side of the chip is 9 centimeters.

What is the length of each side of the chip?

A square is an object that has four sides and four equal sides. All the four sides of a square are of equal length. A square has two diagonal that bisect each other at 90°.

The area of a square = length²

Given the area of a square, the length can be determined by calculating the square root of the area of the square. The square root of a number divides a number into two equal halves.

Length = √area

√81 = 9cm

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