Answer:
When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number. Because a ratio compares two quantities, we would leave a ratio as 41 instead of simplifying it to 4 so that we can see the two parts of the ratio.
Let X1,..., Xn be a simple random sample from a distribution with density function Svorvo-1 O<331 fx (2:0) = otherwise where e > 0 is an unknown parameter.
(a) Find a MOM estimator for 0.
(b) If the observations are 1 1 1 2'3'2 Determine the point estimate with the estimator you find in part (a).
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]
i need help i’m stuck on this one
Answer:
i would say the 2nd or 3rd on bc that is kinda confusing
PLEASE HELP!!! When baking a cake you can choose between a round pan with a 12 in. diameter and a 8 in.×11 in. rectangular pan. a) Determine the area of the base of each pan. b) If both pans are 2 in. deep, determine the volume of each pan. c) Which pan has the larger volume?
1-3. Find the center point, the radius and the diameter for the following equation: x² + y2 = 16
Answer:
Center: (0, 0)
Radius: 4
Step-by-step explanation:
Circle Standard Equation: (x - h)² + (y - k)² = r²
(h, k) is center
r is radius
We see that our h and our k are both 0.
∴ Our center is (0, 0), origin.
We see that our r² = 16
√r² = √16
∴ Our radius is equal to 4
M=3 what is (5m-m3)+m(9m-25)=
Answer:
-6Step-by-step explanation:
[tex](5m-m^3)+m(9m-25)\\\\m =3[/tex]
Substitute : m=3 into the given equation
[tex](5(3)-(3)^3)+3(9(3)-25)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5\left(3\right)-\\\left(3\right)^3\right)\::\quad -12\\\\=-12+3\left(9\left(3\right)-25\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(9\left(3\right)-25\right)\::\quad 2\\=-12+3\times\:2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\times\:2\::\quad 6\\=-12+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-12+6\:\\:\quad -6[/tex]
Which of the following statements are true for using proportions to solve for missing measures? Select three options.
Corresponding dimensions must be in different positions in the ratios.
Corresponding dimensions must be in the same position in the ratios.
D The two ratios in the proportion are equal.
The enlargement or reduction is proportional to the original figure.
D The scale factor will be different for each ratio.
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Answer: C D B
Step-by-step explanation:
JUST TOOK THE TEST ON ENDEGENUITYYYYY
The correct statements for using proportions to solve for missing measures are:
Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.What are ratios?Ratios are fractional values representing relations between two quantities.
What are proportions?When two ratios are equal, they are said to be in proportion.
What is a scale factor?The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.
How to solve the given question?In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.
We analyze each statement:
Corresponding dimensions must be in different positions in the ratios: This is incorrect as the corresponding dimensions need to be in the same position for equality in the units of the ratio.Corresponding dimensions must be in the same position in the ratios: This is correct as the corresponding dimensions need to be in the same position for equality in the units of the ratio.The two ratios in the proportion are equal: This is correct, as it is the basis of proportions (equality of ratios).The enlargement or reduction is proportional to the original figure: This is correct, as the sides are always in proportion to each other in the process of enlargement or reduction.The scale factor will be different for each ratio: This is incorrect, as the scale factor is the simplest form which is always constant.∴ The correct statements for using proportions to solve for missing measures are:
Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.Learn more about Proportions at
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Find the unit rate of 90 miles/2 hours, IN FEET PER SECOND! can you please do it step by step plz?
Answer:
45, 90/2 equals 45. everytime you need to find it you do miles/hours
Which expression can be used to solve
3/5•|• 7/10
Answer: D
Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d
Identify each of the following variables as qualitative or quantitative. a. Favorite baby name b. Color of car c. Storage space on a computer drive d. Electrical current a. Is the variable qualitative or quantitative? Why? A. Favorite baby name is a qualitative variable. Its values are numerical. B. Favorite baby name is a quantitative variable. Its values are numerical. C. Favorite baby name is a qualitative variable. Its values are not numerical. D. Favorite baby name is a quantitative variable. Its values are not numerical.
Answer:
C. Favorite baby name is a qualitative variable. Its values are not numerical.
Color of car is a qualitative variable. Its values are not numerical.
Storage space on a computer drive is a quantitative variable. Its values are numerical.
Electrical current is a quantitative variable. Its values are numerical.
Step-by-step explanation:
A qualitative variable is a variable that is categorical and isn't numerical.
For example, your favourite baby names and colours are categorical, they cannot be measured on a numerical scale
Quantitative Variable are variables that can be measured on a numeric scale. Ordinal, interval and ratio scales are quantitative scales.
Storage space can be measured on a numeric scale e.g. the storage space has 400 GB
Electric current can be measured on a numeric scale e.g. eclectic current is 50 volts
Alvin's age is three times Elga's age. The sum of their ages is 116. What is Elga's age?
years old
Answer:
Let Elga's Age be x and Alvin's age be 3x
x + 3x = 116
4x = 116
x = 116/4
x = 29
Therefore , 3x = 3(29) = 87
Elga's Age - 29
Alvin's Age - 87
A bowl contains blueberry and strawberry there are a total of 10 berries in the bowl The ratio of blueberry to strawberry is 2 for every 3 how many of each berry are in each bowl
Answer:
4 blueberries and 6 strawberries
Step-by-step explanation:
Convert 50 grains to milligrams
Answer:
3239.95
Step-by-step explanation:
If there is 22400 rupee expense of 14 men for 8 days then how many expense of 7 men for 13 days? please explain thanks
Answer:
The expense of 7 men for 13 days is 18,200 Rs.
Step-by-step explanation:
The expense of 14 men for 8 days = 22400
The expense of 14 men per day = 22400/8 = 2800
The expense of 1 man per day = 2800/14 = 200
The expense of 7 men per day = 200*7 = 1400
The expense of 7 men for 13 days = 1400*13 = 18200
Hope that helps :)
I need help bad........
Answer:
I hope this helps tell me if I'm correct
SOMEONE HELP WHAT IS THE ANSWER TO THESE QUESTIONS PLEASE HELP
find the value of the following expression 9(-4) over -3
Answer:
Look below
Step-by-step explanation:
9(-4) is the same as 9*(-4) so it equals -36.
-36/-3=positive 12 so ye. The answer is 12
Evaluate =f(×) r 6x-2 for f (2a-3)
Answer:
[tex] \boxed{\sf f(2a - 3) = 12a - 20} [/tex]
Step-by-step explanation:
Function given:
⇒f(x) = 6x - 2
Substitute 2a - 3 into the function in place of x:
⇒f(2a - 3) = 6(2a - 3) - 2
Expand bracket:
⇒f(2a - 3) = 12a - 18 - 2
Add the like terms:
⇒f(2a - 3) = 12a - 20
I WILL GIVE Brainliest FOR ANSWER
The triangle shown is rotated 90 counterclockwise about the orgin what are the new coordinates of point A
Answer:
its A (2, 1 ) → A'(- 1, 2 )
Step-by-step explanation:
took test :)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
What is rotation?Rotation can be stated as the circular movement over the object around the center.
Rotation can be done in both directions like clockwise as well as counter clockwiseIt requires rotation implies negative magnitudeA counter clockwise turns has a positive magnitude.here, we have,
given that,
Vertices of triangle = A(1,1) , B(3,4), C(6,3)
Triangle is rotated counterclockwise about the origin 90°.
In counterclockwise rotation (x,y) becomes (-y,x)
Then
the new coordinates of triangle are A', B', C'
A(1,1) = A'(-1,1)
B(3,4) = B'(-4,3)
C(6,3) = C'(-3,6)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
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A manager believes a new advertising campaign will increase sales by 40%. If current sales are 3,500 units how many total units does the manager expect to sell after launching the campaign?
Answer: 5,400 units
Step-by-step explanation:
if you multiply 3,500 units by 40%, you get the quotient 1,900, which is 40% if 3,500. if you add the quotient, 1,900, to the total amount of units already, 3,500, you get the total of 5,400 units
9 = a - 8
Help me please
4. Solve x -- 7 = 25.
A 18
B 32
Answer:
B
Step-by-step explanation:
b okay it b good
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The copper content of 18-carat gold was measured by two methods for six different samples collected from a jewelry production plant. Sample Method 1 Method 2 A 2.2% 2.5% B 1.8% 2.2% C 2.5% 3.0% D 3.0% 3.2% E 2.6% 2.3% F 2.6% 2.7% Which test would you use to determine if the results obtained by the two methods agree within experimental error?
Full question attached
Answer:
Paired t test
Explanation:
The paired sample t test is used to measure or compare the mean of two observations or samples by measuring each subject two times as is seen above with the gold measurement which would result in two sets or pair of samples in a statistical procedure. We observe from the question that we measure each gold with two methods and then compare result of the two methods in terms of their mean error using the paired t test.
Drag each expression to the correct location on the table. Not all expressions will be used.
Jennifer is buying a plane ticket to travel abroad. The price of the plane ticket is P dollars, and she has to pay the additional 8% airport
security tax
Match the expressions to their correct meaning for Jennifer.
Answer:
The price of the ticket before tax - P
The amount of tax Jennifer pays- 0.08P
Jennifer's total amount for the ticket- P + 0.08P
Step-by-step explanation:
The price of the plane ticket is P dollars, before airport security tax. Here P is an independent variable.
An airport security tax of 8% is applied to the price of a plane ticket. So, the amount of airport security tax that Jennifer pays is 8% of the cost of her plane ticket, or 0.08P.
To find Jennifer's total amount for the plane ticket, add the price of the ticket before airport security tax and the amount of airport security tax Jennifer pays. So, the total amount of the plane ticket is P + 0.08P.
The table below shows the expressions matched to their meanings.
An expression is defined as a set of numbers, variables, and mathematical operations. Jennifer's total amount for the ticket is P+0.08P.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that Jennifer is buying a plane ticket to travel abroad. The price of the plane ticket is P dollars, and she has to pay the additional 8% airport security tax. Therefore, we can write the expressions as,
The price of the ticket before tax → P
The amount of tax Jennifer pays → 8% of P = 0.08p
Jennifer's total amount for the ticket → Price of ticket + Tax = P + 0.08P
Hence, Jennifer's total amount for the ticket is P+0.08P.
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William and his puppy Rover are out for a morning jog at a comfortable pace of 10 minutes per mile. If they keep up this pace for 2 hours, how many miles will they jog?
Answer:
12 miles
Step-by-step explanation:
60 min in 1 hr and 10 min = 1 mile..... so 6, 10 min intervals..... and so 6 time 2 is 12
y < 2x - 5
Which of the following graphs represent the inequality?
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.
Convert the decimal 0.9988 to a fraction
Answer:
The decimal 0.9988 to a fraction is 9988/10000
Answer:
9988
_____
10,000
Step-by-step explanation:
I got it correct on test :)))
If each group has the greatest possible number of club members,
how many groups of sixth graders and how many groups of seventh
graders will there be? Use numbers and words to explain your answer.
Order the following rational numbers from greatest to smallest.
- 7
0.40
4.1
-3/4
jimmy has a pool sixteen feet wide and twelve feet long how much material does he need to cover the pool
Answer:
192 square feet of material
Step-by-step explanation:
You find the area of the pool, which is length x width, and that is 12 x 16, which is equal to 192
I hope this helps!
Answer:
16 x 12=192
Step-by-step explanation: