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Related Questions
Population 1,2,4,5,8 · Draw all possible sample of size 2 W.O.R · Sampling distribution of Proportion of even No. · Verify the results
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Question:
A population consists 1, 2, 4, 5, 8. Draw all possible samples of size 2 without replacement from this population.
Verify that the sample mean is an unbiased estimate of the population mean.
Answer:
[tex]Samples: \{(1,2),(1,4),(1,5),(1,8),(2,4),(2,5),(2,8),(4,5),(4,8),(5,8)\}[/tex]
[tex]\hat p = \frac{3}{5}[/tex] --- proportion of evens
The sample mean is an unbiased estimate of the population mean.
Step-by-step explanation:
Given
[tex]Numbers: 1, 2, 4, 5, 8[/tex]
Solving (a): All possible samples of 2 (W.O.R)
W.O.R means without replacement
So, we have:
[tex]Samples: \{(1,2),(1,4),(1,5),(1,8),(2,4),(2,5),(2,8),(4,5),(4,8),(5,8)\}[/tex]
Solving (b): The sampling distribution of the proportion of even numbers
This is calculated as:
[tex]\hat p = \frac{n(Even)}{Total}[/tex]
The even samples are:
[tex]Even = \{2,4,8\}[/tex]
[tex]n(Even) = 3[/tex]
So, we have:
[tex]\hat p = \frac{3}{5}[/tex]
Solving (c): To verify
[tex]Samples: \{(1,2),(1,4),(1,5),(1,8),(2,4),(2,5),(2,8),(4,5),(4,8),(5,8)\}[/tex]
Calculate the mean of each samples
[tex]Sample\ means = \{1.5,2.5,3,4.5,3,3.5,5,4.5,6,6.5\}[/tex]
Calculate the mean of the sample means
[tex]\bar x = \frac{1.5 + 2.5 +3 + 4.5 + 4 + 3.5 + 5 + 4.5 + 6 + 6.5}{10}[/tex]
[tex]\bar x = \frac{40}{10}[/tex]
[tex]\bar x = 4[/tex]
Calculate the population mean:
[tex]Numbers: 1, 2, 4, 5, 8[/tex]
[tex]\mu = \frac{1 +2+4+5+8}{5}[/tex]
[tex]\mu = \frac{20}{5}[/tex]
[tex]\mu = 4[/tex]
[tex]\bar x = \mu = 4[/tex]
This implies that [tex]\bar x[/tex] is an unbiased estimate of the [tex]\mu[/tex]
Find X. Give your answer in the simplest form.
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x is 20 and y is 20 root 3
im sorry my phone is being weird which is why the writing turned out like that but if u have any questions lmk
What is the measure of the angle at the tail end of the kite? if the top area is where its pointed is 122?
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Answer:
The angle is 58 degrees
Step-by-step explanation:
Given
See attachment for kite
Required
The angle at the tail end
Represent this angle with x.
From the attached kite, we have:
1 angle = 122
2 angles = right-angled
So, we have:
[tex]x + 122 +90+90 = 360[/tex] --- sum of angles in a kite
[tex]x + 302 = 360[/tex]
Solve for x
[tex]x =- 302 + 360[/tex]
[tex]x =58^\circ[/tex]
Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select ALL the equations that represent this situation. *
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Answer:
Equation b and c represent the situation.
X
How many 1 -by-1 -by-1 -inch cubes fit inside of this
rectangular prism?
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The number of 1 -by-1 -by-1 -inch cubes that can fit inside of this rectangular prism 120 cubes.
Volume of a rectangular prism
volume = lwh
where
l = lengthw = widthh = heightTherefore,
volume = 10 × 3 × 4 = 120 inches³
Volume of the cube = l³
where
l = side lengthTherefore,
volume = 1 × 1 × 1 = 1 inches³
Therefore, the number of 1 -by-1 -by-1 -inch cubes that can fit inside of this rectangular prism is as follows;
number of cube = 120 / 1 = 120 cubes
learn more on volume here : https://brainly.com/question/1578538
Find mZR
R
120°
140°
S
Need help with this question?
Answers
Answer:
[tex] m\angle R = 50 \degree[/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex]m\angle R = \frac{1}{2} [360 \degree - (120 \degree + 140 \degree)] \\ \\ m\angle R = \frac{1}{2} [360 \degree -260 \degree] \\ \\ m\angle R = \frac{1}{2} \times 100 \degree \\ \\ m\angle R = 50 \degree \\ \\ [/tex]
What is the product of 2b(b+11)? Show your work.
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Answer:
25
Step-by-step explanation:
Answer:
2b^2 + 22
Step-by-step explanation:
2b(b + 11)
2b ×b + 2 × 11
2b^2 + 22
Help... do it now if you can pls...
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Answer:
1.A,B,C,D
2. AB, CD
3. AC, BD
4. Line AD (don't take my word for this one)
Step-by-step explanation:
how can I solve a standard form of a linear equation?
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The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
Answer:
A standard form of a linear equation is Ax + By = C
Step-by-step explanation:
For example, 3x + 4y = 7 is a linear equation in standard form. When an equation is given the form it ia pretty easy to find the both intercepts of (x and y). It can be useful when solving a two linear equation.
Choose the correct classifacation of 4x^4-4x^3+10x^6
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Answer:what’s classification
Step-by-step explanation:
carol is making baby blankets for her daughters twins. If one blanket needs 43/4 yd of fabric, how much fabric does carol need for two blankets?
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Answer:
21 1/2 yd
Step-by-step explanation:
43/4 + 43/4 = 21 1/2 yd
Which expression is represented on the number line?
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Answer:
b
Step-by-step explanation:
if the diameter of a circle is 124 centimeters, then what is the radius.
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Answer:
radius = 62 cm
Step-by-step explanation:
radius = diameter/2
radius = 124/2 = 62 cm
Answer:
the radius 62
Step-by-step explanation:
the radius is really just the diameter split in half.
So, 124/2 = 62
Triangle ABC below has a right angle C and a height CD. (A height in a triangle connects its vertex and the opposite side, and is perpendicular to that side.)
If AC is 3 units long and BC is 4 units long, what is the length of AD?
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can you show the picture please?
The Consumer Reports National Research Center conducted a telephone survey of 2000 adults to learn about the major economic concerns for the future (Consumer Reports, January 2009). The survey results showed that 1760 of the respondents think the future health of Social Security is a major economic concern. a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern (to 2 decimals)
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Answer:
The point estimate is 0.88
Step-by-step explanation:
Given
[tex]n = 2000[/tex] -- sample size
[tex]x = 1760[/tex] -- adults who think future health of social security is a major economic concerm
Required
Determine the point estimate
This is calculated as:
[tex]\hat p= \frac{x}{n}[/tex]
[tex]\hat p= \frac{1760}{2000}[/tex]
[tex]\hat p = 0.88[/tex]
The point estimate is 0.88
Please please help please please ASAP I willl kisssss your azzz if you help me please please help please please ASAP please please help please
Answers
Answer: 3x-x+2=4
Step-by-step explanation:
12/X=3/6 CROSS MULTIPLY.
3X=12*6
3X=72 X=72/3 X= 24 FEET TALL.
Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?
The vertex is at (0, 0) and the axis of symmetry is x = 2.
The vertex is at (0, 0) and the axis of symmetry is y= 2.
The vertex is at (2, 8) and the axis of symmetry is x = 2.
The vertex is at (2, 2) and the axis of symmetry is y = 2.
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Answer:
C.) The vertex is at (2, 8) and the axis of symmetry is x = 2.
Step-by-step explanation:
I got a 100 on edge
The vertex is at (2,8) and the axis of symmetry is x = 2
What is vertex and axis of symmetry of a curve?The vertex of a curve is the point where the curve passes its axis of symmetry. While the axis of symmetry is the line that divides the curve into two equal halves.
Analysis:
if y = a[tex]x^{2}[/tex]+bx +c. then the axis of symmetry occurs at [tex]\frac{-b}{2a}[/tex] and the vertex occurs at [tex]\frac{-b}{2a}[/tex] and the value of y at [tex]\frac{-b}{2a}[/tex].
comparing the above with the equation h(x) = -2[tex]x^{2}[/tex]+8x
x coordinate for vertex = [tex]\frac{-8}{2 x -2}[/tex] = 2
y coordinate at x = 2
-2[tex](2)^{2}[/tex] + 8(2) = 8
vertex is at point (2,8)
axis of symmetry is the x coordinate of the vertex which is at x = 2
In conclusion, the axis of symmetry is at x = 2 and vertex at point (2,80 option c
Learn more about vertex and symmetry of a curve: brainly.com/question/21191648
#SPJ2
Explain, using an example, why you need to multiply when converting from a larger unit to a smaller unit
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Answer:
This is often called scaling in math, used in ratios, fraction, percent's etc.
Step-by-step explanation:
Answer:
You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide. Here is an example..
What inequality does this number line show?
I need this question in 11 hours QwQ
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Answer:
X>8
Step-by-step explanation:
Open circle, going towards larger numbers, meaning it is greater than eight but not equal to.
Can someone help me pleaseee
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Answer:
d or c more likey d
Step-by-step explanation:
Each lap around the track is 400 meters. How many meters does someone run if they run 5 laps?
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Answer:
2000 meters
Step-by-step explanation:
400×5=2000
There are 40 batteries in 10 packs.
Gavin wants to know how many batteries are in 1 pack.
Kylie wants to know how many batteries are in 5 packs.
Drag an expression to answer each question.
Help me Please I would appreciate your help!
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:-):-):-):-):-)
Step-by-step explanation:
1) 40÷10
2) 40÷2
i light is faster then anything how did dark get there first
hello there enjoy 30 points on da house
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Answer:
this just confused me so much
Step-by-step explanation:
ooooooooooooooooooo
hi besties help me
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Same I also need help ;-;
(12) Which equation has irrational solutions?
Group of answer choices
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Answer:
9(x+3)²=27
Step-by-step explanation:
hello :
9(x+3)²=27 means : (x+3)²=27/9
(x+3)²=3 because 3 is not the perfect square
A survey of 879 supermarket employees revealed that 239 workers felt they were overqualified for the position. What is the best way to characterize the 879 employees?
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Answer:
they doubt if they're qualified or not
Please find the next fraction in this sequence. No files please
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Then the sequence is:
11/22 , 10/22 , 9/22 , 8/22 , next is 7/22
pls help i really really need it, the question is on the picture
will mark the brain thing
#LLJW
Answers
Step-by-step explanation:
Use ToA method (tan = opposite / adjacent)
For this question we have to use pythagoras' Theorem to find the adjacent side.
take a as the length of the adjacent side.
given b = 12
c = 13
By pythagoras' Theorem,
[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {a}^{2} = {c}^{2} - {b}^{2} \\ {a}^{2} = {13}^{2} - {12}^{2} \\ {a}^{2} = 169 - 144 \\ {a}^{2} = 25 \\ a = \sqrt{25} \\ = 5[/tex]
Now we can find tan(x)
tan(x) = Opposite / adjacent
[tex] = \frac{12}{5} [/tex]
f left parenthesis x right parenthesis equals 3 over 4 x squared .
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Answer:
Step-by-step explanation: try your best
How do I solve this arithmetic sequence?
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Answer:
The 16ᵗʰ term of this sequence is 82
Step-by-step explanation:
Here,
First Term = a₁ = 9
Common Difference = (d) = 2
Now, For 16ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₁₆ = 7 + (16 - 1) × 2
a₁₆ = 7 + 15 × 5
a₁₆ = 7 + 75
a₁₆ = 82
Thus, The 16ᵗʰ term of this sequence is 82
-TheUnknownScientist