Let X denote the number of alpha particles emitted by a sample of Barium-133 in one tenth of a second. The following 50 observations of X were taken with a Geiger counter in a fixed position:

7 4 3 6 4 4 5 3 5 3
5 5 3 2 5 4 3 3 7 6
6 4 3 11 9 6 7 4 5 4
7 3 2 8 6 7 4 1 9 8
4 8 9 3 9 7 7 9 3 10

The experimenter is interested in determining whether X has a Poisson distribution.

a. What is λMLE for the parameter λ of a Poisson distribution? Compute λMLE for the above data.
b. Partition the set of outcomes for this experiment into the sets A1 = {0, 1, 2, 3}, A2 = {4}, A3 = {5}, A4 = {6}, A5 = {7}, and A6 = {8,9,10,...}. Assuming X ∼ Poisson(λMLE), compute P(X ∈ Ai) for i = 1,...,6.
c. Use a Chi-square test with the above partition to test:

H0 : X ∼ Poisson(λMLE),
H1 : X ∼/ Poisson(λMLE).

Answer:

what do you do

Step-by-step explanation:

Answer and Step-by-step explanation:

The answer is A. 0.

This is because the greatest sum of numbers can only be up to 12. (6 + 6 = 12)

No numbers, when added together from the given 2 6-sided dices, will result in 15 as the answer.

#teamtrees #PAW (Plant And Water)

Ramadan Mubarak

Answer:

48

Step-by-step explanation:

Answer:

Step-by-step explanation: ARM architecture

Answer:

V≈33238.05

Step-by-step explanation:

The circumference of the cylinder base is

= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.

That is ( 2 )(pi)( r ) = ( 44 )cm or

( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.

I have approximated ( pi ) as ( 3.14 ) for this calculation.

The area of the cylindrical base is ( pi )*( radius )^2

Therefore area of the base

= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.

Volume of Cylinder

Volume = Atea of the base multiplied by cylinder height or

= ( 154.1415 ) * ( 7 )

= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.

Lateral Surface Area

The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.

= ( 44 )*( 7 ) = ( 308 ) cm squared

Inherent Assumption

It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.

Answer:

Step-by-step explanation:

Long Answer:

Yes, a rhombus is a quadrilateral with 4 equal sides. Every square has 4 equal length sides, so every square is a rhombus.

Short Answer:

Yes

Answer:

Angle A measures 80º.

Step-by-step explanation:

Supplementary angles:

Two angles are called supplementary when their measures add to 180º.

In this question:

Angle A measures 7x + 3

Angle B measures 7x + 23

Since they are supplementary:

[tex]A + B = 180[/tex]

[tex]7x + 3 + 7x + 23 = 180[/tex]

[tex]14x + 26 = 180[/tex]

[tex]14x = 154[/tex]

[tex]x = \frac{154}{14}[/tex]

[tex]x = 11[/tex]

Measure of Angle A:

Since x = 11

7*11 + 3 = 77 + 3 = 80º

Angle A measures 80º.

Answer:

Step-by-step explanation:

9). -2.2(4 - 1.9x) = 3.3(0.2x - 0.8)

    -8.8 + 2.2(1.9x) = 0.66x - 2.64

    -8.8 + 4.18x = 0.66x - 2.64

     4.18x - 0.66x = 8.8 - 2.64

     3.52x = 6.16

     x = 1.75

10). 3.2(1 + 2.6x) = 2.4(x - 3.6)

     3.2 + 8.32x = 2.4x - 8.64

     8.32x - 2.4x = -3.2 - 8.64

     5.92x = -11.84

      x = 2

11). 4.6(2x - 5.5) = 3.9 + 0.8(1 + 5.5x)

     9.2x - 25.3 = 3.9 + 0.8 + 4.4x

     9.2x - 25.3 = 4.7 + 4.4x

     9.2x - 4.4x = 25.3 + 4.7

     4.8x = 30

      x = 6.25

12). 0.2(3x + 2.5) - 4.9 = 3.8 - 2.2(x - 5.5)

     0.6x + 0.5 - 4.9 = 3.8 - 2.2x + 12.10

     0.6x - 4.4 = -2.2x + 15.90

     0.6x + 2.2x = 15.90 + 4.4

     2.8x = 20.30

     x = 7.25

Answer: It would be 410 meters below sea level.

→Pikachu I choose u←

Answer:

0ft and 60ft

Step-by-step explanation:

Given

The attached function

Required

Determine the valid values of the domain of the function

To do this, we simply consider the starting point and the end point of the trajectory on the x-axis (i.e. the horizontal distance).

From the attached graph, the horizontal distance starts from 0 and ends at 180.

This implies that the domain is: [tex]0 \le x \le 180[/tex]

From the options, the values that fall in this bracket are 0ft and 60ft

Answer:

Step-by-step explanation:

They are not equivalent

When t = 2

Answer:

They are not Equivalent.

Step-by-step explanation:

You can tell that they aren't by doing that equations.

13t-3t=10t

3t-13t=-10t

If you were to inert 2 into t's , spot, it still would not work.

13(2)-3(2), 26-6=20

3(2)-13(2), 6-26=-20

Answer:

5808.8km

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

16x9

The side length of the square garden would be 12 ft.

        - where [a] is side length of cube.

       - where [h] is prism height, [w] is its width, and [L] is its length.

We have a person who had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet.

The garden was changed into a square design with the same area as the original rectangular-shaped garden. Assume the side length to be [x] ft. Then, you can write -

x² = 16 x 9

x² = 144

x = 12

Therefore, the side length of the square garden would be 12 ft.

To solve more questions on area and volumes, visit the link below -brainly.com/question/29424737

#SPJ2

Answer:

last graph

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

answers are 1 and 9

Step-by-step explanation:

x² - 10x = -9

x² - 10x + 9 = 0

(x - 9)(x - 1) = 0

x = 9, x = 1

Answer:

Replace key words with variables, numbers, and operations. “A number squared” is a power where the base is the variable and the exponent is 2. “Decreased by ten” means you must subtract 10 from the squared number.

Step-by-step explanation:

hope this helps

Answer:

The total number of ways the person holding ticket 47 wins one of the prizes = 941,094

Step-by-step explanation:

Given - One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).

To find - How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.

Proof -

The order of selection is important because 1st selection is grand prize , 2nd selection is second prize and so on . So , we use permutation for this question

Now,

As The person holding ticket 47 wins one of the prizes and other 3 prizes are also given to the remaining 99 persons who got chosen

So,

The number of ways = 1* ⁹⁹P₃

                                  = [tex]\frac{99!}{(99-3)!}[/tex]

                                  = [tex]\frac{99!}{96!}[/tex]

                                  = [tex]\frac{99*98*97*96!}{96}[/tex]

                                  = 99*98*97

                                 = 941,094

∴ we get

Total number of ways the person holding ticket 47 wins one of the prizes = 941,094

Answer:

An octagonal prism has 10 faces.

Step-by-step explanation:

Please mark as brainliest!

Answer:

357

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = -3-(-7) =-7-(-11) = 4        A1 =  -11

when : n =93 you have the  93rd term  A93

so : A93 = -11 +(93-1)(4)

A93 = 357

Answer:

hey here the link it.ly/3dXyuz8

Answer:

1) NO

2) YES

3) YES

4) YES

Step-by-step explanation:

A function is a relation that maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs).

The condition for a function is that each element in the domain can be mapped into only one element in the range.

(Or each input can be mapped into only one output).

Now let's apply this theory to the exercises here.

In all the cases we have relations, so we need to check if one (or more) of the inputs is mapped into more than one output.

Also remember that in the point notation (x, y) the first value is the input and the second is the output.

1)

Here we can see the points (-1, 5) and (-1, 2)

So the input -1 is mapped into two different outputs, 5 and 2.

This means that this is not a function.

2)

In this case, we can see that all the inputs are different (1, -2, 3, 5), so this is a function.

3)

Again, here we can see that each input is being mapped into only one output, then this is a function.

4)

In a graph, the horizontal position represents the input value and the vertical position represents the output value.

One way to tell if a graph belongs to a function or not, is to see if there is a vertical line such that more than one point intersects that line. If that happens, then we have two points with the same input value but different output value and the relation is not a function.

In this case, we can see that this does not happen, and then we can conclude that the graph represents a function.

Answer:

B) equilateral triangle

E) acute triangle

Step-by-step explanation:

Answer:

1,2, and 4

Step-by-step explanation:

Step-by-step explanation:

18

Answer:

Reduced fat had the greater spread.

Step-by-step explanation:

Answer:

vertex is y=x squared

axis of symmetry is x=-1

parabola= (-2,0) and (-3,2)

Step-by-step explanation:

follow steps

Answer:

As per graph we have

1. Vertex is:

2. Axis of symmetry is a vertical line that passes through vertex:

3. Roots, the x-intercepts:

Sure, what do you need help with?

Answer:

U can divide or multiply

Step-by-step explanation: