10 + (-4) Show Example

Answer:

The method of moment (MOM) estimator as:  [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]

[tex]\overline X = \dfrac{4}{9}[/tex]

[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]

Step-by-step explanation:

From the question, the correct format for the probability density function is:

[tex]fx(x ; \theta) = \left \{ {{\sqrt{\theta x}^{\sqrt{\theta}-1}}\ \ 0 \leq x \leq 1 \atop {0} \ \ \ \ \ \ \ otherwise } \right.[/tex]

where θ > 0 is an unknown parameter.

(a) The MOM estimator can be calculated as follows:

[tex]E(X) = \int ^1_0x. \sqrt{\theta} \ x^{\sqrt{\theta}-1} \ dx[/tex]

[tex]E(X) = \int ^1_0 \sqrt{\theta} \ x^{\sqrt{\theta}} \ dx[/tex]

[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 } ( x ^{\sqrt{\theta}+1})^1_0[/tex]

[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]

suppose E(X) = [tex]\overline X[/tex]

Then;

[tex]\overline X = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]

[tex]\dfrac{1}{\overline X} = \dfrac{\sqrt{\theta} +1 }{\sqrt{\theta}}[/tex]

[tex]\dfrac{1}{\overline X} =1 + \dfrac{1}{\sqrt{\theta}}[/tex]

making [tex]\dfrac{1}{\sqrt{\theta}}[/tex] the subject of the formula, we have:

[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1}{\overline X} - 1[/tex]

[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1-\overline X}{\overline X}[/tex]

[tex]\sqrt{\theta} =\dfrac{\overline X}{1-\overline X}[/tex]

squaring both sides, we have:

The method of moment (MOM) estimator as:  [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]

b) If the observations are [tex]\dfrac{1}{2}, \dfrac{1}{3}, \dfrac{1}{2}[/tex]

Then,

[tex]\overline X = \dfrac{\dfrac{1}{2}+ \dfrac{1}{3}+\dfrac{1}{2}}{3}[/tex]

[tex]\overline X = \dfrac{\dfrac{3+2+3}{6}}{3}[/tex]

[tex]\overline X = \dfrac{\dfrac{8}{6}}{3}[/tex]

[tex]\overline X = \dfrac{8}{6} \times \dfrac{1}{3}[/tex]

[tex]\overline X = \dfrac{8}{18}[/tex]

[tex]\overline X = \dfrac{4}{9}[/tex]

Finally, the point estimate of the estimator [tex]\theta[/tex] is

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{1-\dfrac{4}{9}} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{\dfrac{5}{9}} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{4}{5} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]

Answer: Its B and C

Step-by-step explanation:

Answer:

The correct answer is:

B. Substitute 12 for x in the equation

C. Multiply $68 by 12 months

Answer:

side x is 5 cm long

Step-by-step explanation:

Use proportions, given that the two triangles are similar because they contain three equal angles:

One angle due to connected by the vertex (oppose by the vertex), another angle as marked with the tick, and the third one has to be the same due to the fact that the addition of the three internal angles of a triangle must equal 180 degrees.

Then our proportion becomes:

[tex]\frac{4}{32} =\frac{x}{40}[/tex]

And then we solve for x by multiplying both sides by 40 (to eliminate the denominator on the right):

[tex]\frac{4}{32} =\frac{x}{40} \\\frac{4*40}{32} =x\\ x=5\,\,cm[/tex]

Answer:

5cm

Step-by-step explanation:

Just took the test :)

Step-by-step explanation:

this is your answer.........

The equation 2x + 21 = 7(x + 3) – 5x does not have solution that mean inconsistent equation.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

2x + 21 = 7(x + 3) – 5x

Simplifying the equation, we have

2x + 21 = 7x + 21 – 5x

2x + 21 = 2x + 21

        0 = 0

The equation 2x + 21 = 7(x + 3) – 5x does not have solution that mean inconsistent equation.

More about the solution of the equation link is given below.

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Answer: 0.44

Step-by-step explanation:

Area of a triangle = 1/2 * b * h

b = base

h = height

We know:

h = x

b = 4x

Area = 338ft^2

Let's plug these numbers into the Area formula above.

338ft^2 = 1/2 * 4x * x

First, let's divide both sides by 1/2

676ft^2 = 4x * x

Let's simplify the right side.

676ft^2 = 4x^2

Take the sqrt of both sides.

26 = 2x

Divide each side by 2

13 = x

Remember, the height = x = 13 feet

Answer:

The problem states that the submarine dives down 115 feet deeper. The words dives and down convey that the submarine dove farther below its initial level. So, I should subtract 115 feet from -502.5 feet.

Step-by-step explanation:

Correct answer

Answer:

angle 1

Step-by-step explanation:

Answer: Angle 1

Explanation:

Vertical angles are angles that are opposite one another, and they are formed when you cross two lines. The pairs of vertical angles are...

Answer:

- 35 / 5 is - 7. So the answer is -7

Answer:

-7

Step-by-step explanation:

-35/5

Just divide this

= -7

Answer:

25min

Step-by-step explanation:

40 is the unit rate so 40 words per minute so it's 25 because 1000÷(40)*

(the unit rate)*. Sorry if I'm worng.

Answer:

2.38÷5=0.476

hope this helps! best of luck <3

Answer: C

Step-by-step explanation:

The best person will be an urban planner to help prepare the city for the future. The correct option is C.

In towns, cities, counties, and metropolitan areas, urban and regional planners construct land use plans and programs that support the development of communities, allow for population increase, and renew physical infrastructure.

Given that the city officials in your hometown expect a huge rise in population over the next few years.

The best person to help in preparing the city for the future will be an urban planner.

Therefore, the best person will be an urban planner to help prepare the city for the future. The correct option is C.

To know more about an urban planner follow

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Answer:

4,330

Step-by-step explanation:

Multiply 21.35 times 200 and you get 4,270, then multiply 200 times 43 and you will get 8,600. then subtract and you will get 4,330

The answers are :

a) The total purchase price for the 200 shares was $4270.

b) The total selling price for the 200 shares was $8600.

c) The capital gain for the 200 shares was $4330.

What is the unitary method ?

The unitary method is a method in which you find the value of one unit and then the value of a required no. of units.

It is given that 20 years ago Zach bought 200 shares.

Price of 1 share = $21.35

a)

The total purchase price for the 200 shares was :

= 200 × $21.35

= $4270

b)

It is given that Zach sold 200 shares today.

Price of 1 share = $43

The total selling price for the 200 shares was :

= 200 × $43

= $8600

c)

The capital gain for the 200 shares was :

= $8600 - $4270

= $4330

Therefore , the answers are :

a) The total purchase price for the 200 shares was $4270.

b) The total selling price for the 200 shares was $8600.

c) The capital gain for the 200 shares was $4330.

Learn more about unitary methods here :

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Answer:

[tex]x=24[/tex]

Step-by-step explanation:

[tex]\frac{x}{3}-15=-7[/tex]

Add 15 to both sides:

[tex]\frac{x}{3}-15+15=-7+15[/tex]

[tex]\frac{x}{3} =8[/tex]

Multiply both sides by 3:

[tex]\frac{3x}{3}=8\times3[/tex]

[tex]x=24[/tex]

Answer: C

Step-by-step explanation:

For this problem, we need to graph y=2x-5. We can eliminate A and D because the graph is not y=2x-5. The main difference between B and C is the shading and line. Since we see the inequality is less than, but NOT equal to, we know that the line will be dashed. The solid line tells us that the graph reaches the line, meaning it is equal to. Therefore, we can eliminate B. C is the correct answer. We also know that the shading would be under the dashed line because it is LESS THAN.

Answer:

Yes, it is a function

Step-by-step explanation:

A function is where there is no two of the same domain.

The domain is the first coordinate.

Hope This Helps :)

Answer: function

Step-by-step explanation:

Answer:

b=128

Step-by-step explanation:

b÷4+16=48 isolate b

b÷4= 32

b= 128

Answer:

b=128

Step-by-step explanation:

rewrite

1/4b + 16 = 48

multiply both sides by 4

b + 64 = 192

move constant to the right and change he sign

b = 192-64

subtract

b = 128

Answer:

y≈5.56

Step-by-step explanation:

[tex]\angle KLM=136\\\\\angle KLN=47\\\\\angle NLM=16y\\\\\angle KLM=\angle KLN+\angleNLM\\\\136=47+16y\\\\136-47=16y\\\\136-36-11=16y\\\\100-11=16y\\\\89=16y\\\\y=\frac{89}{16}\\\\y=5.5625[/tex]

Answer:

y = 5.56

Step-by-step explanation:

Use the total, measure KLN = 136⁰ and subtract measure KLN = 47 from measure KLM. Then do 89/16 = 5.5625. Then round to the hundredths, 5.56.

[136 - 47 = 89]

[89 / 16 = 5.5625]

[Round to 5.56]

Answer:

1.27

Step-by-step explanation:

Answer:

Step-by-step explanation:

The constant of an equation is simply the number at the end without a variable. It is called a constant because it is the only term that doesn't change if you plug in a random x value. So:

The constant of 5a^2 + a - 1 is -1

The constant of 3x^2-x +1 is +1

The constant of y^2-2y+2 is +2

and the constant of m^2 +2m -2 is -2.

Hope this helped!

Answer:

1?

Step-by-step explanation:

if you go from -6 to 3 it is 9 spaces. so 7 spaces equals one.

Just add 7 to all x-coordinates and subtract 9 from all y-coordinates.

S' = -3 + 7 = 4 and 6 - 9 = -3 therefore S'(4, -3)

T' = 0 + 7 = 7 and 7 - 9 = -2 therefore T'(7, -2)

U' = 1 + 7 = 8 and 4 - 9 = -5 therefore U'(8, -5)

V' = -5 + 7 = 2 and 2 - 9 = -7 therefore V'(2, -7)

Answer:

  B

Step-by-step explanation:

If the pizza is cut into 6 slices, then 4/6 of a pizza is 4 slices. If each person eats one slice, 4 persons can be fed.

Answer:

See Below

Step-by-step explanation:

Answer:

50 divided by 5: 10.

5 divided by 50: 0.1

Step-by-step explanation:

Here we will show you step-by-step with detailed explanation how to calculate 50 divided by 5 using long division.

Before you continue, note that in the problem 50 divided by 5, the numbers are defined as follows:

50 = dividend

5 = divisor

Start by setting it up with the divisor 5 on the left side and the dividend 50 on the right side.

The divisor (5) goes into the first digit of the dividend (5), 1 time(s). Therefore, put 1 on top.

Multiply the divisor by the result in the previous step (5 x 1 = 5) and write that answer below the dividend.

Subtract the result in the previous step from the first digit of the dividend (5 - 5 = 0) and write the answer below.

Move down the 2nd digit of the dividend (0)

The divisor (5) goes into the bottom number (0), 0 time(s). Therefore, put 0 on top.

Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer at the bottom.

Subtract the result in the previous step from the number written above it. (0 - 0 = 0) and write the answer at the bottom.

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 50 divided by 5 OR 5 divided by 50 calculated using Long Division is:

Answer:

72.25

Step-by-step explanation:

17% of 425

=17\100 ×425

=7225/100

=72.25

Answer:

72.25

Step-by-step explanation:

Lets say you are trying to find p percent (p%) of a number n. To do this, you would divide the percent (p) by 100 and multiply it by the number (n). In other words:

[tex]n*\frac{p}{100}[/tex]

We can use this to find 17 percent of 425. 17 would be our percent and 425 would be our number.

[tex]425*\frac{17}{100}=425*0.17=72.25[/tex]

So 17 percent of 425 would be 72.25.

I hope you find my answer and explanation to be helpful. Happy studying. :)

Answer:

-6 + 6 - 12t *

0 - 12t *

12t *

Therefore the answer is 12t *

Answer:

2786 is the answer for the question

Answer:

Do you have a picture of the problem/graph?

Step-by-step explanation:

Only then, can i provide an acurate answer!

pls & thx