Suppose that a population parameter is 0.3, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values? O A. 0.4 O B. 0.1 O C. 0.3 O D. 0.2 SUBMIT
Answers
Using the Central Limit Theorem, it is found that the mean of the sample proportions would approach 0.3, hence option C is correct.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, we have that the parameter is p = 0.3, hence the mean of the sample proportions would approach 0.3 and option C is correct.
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Related Questions
Solve the equation a=m-n for the variable n
Answers
Answer:
m-a = n
Step-by-step explanation:
a=m-n
Subtract m from each side
a-m = m-n-m
a-m = -n
Multiply each side by -1
-a+m = n
m-a = n
Some help? Like bro literally how?!
Answers
Answers:
[tex]\text{OA} = \cos(\alpha)\\\\\text{AB} = \sin(\alpha)\\\\\text{DC} = \tan(\alpha)\\\\[/tex]
You can use the word "alpha" without quotes in place of the symbol [tex]\alpha[/tex] if you want (though it will depend if your teacher allows it of course).
======================================================
Explanation:
Focus entirely on triangle AOB.
With respect to reference angle alpha (symbol [tex]\alpha[/tex]), the side OA is the adjacent side since it's the leg closest to or touching the reference angle.
In this same triangle, side OB is the hypotenuse. Because its the radius of the unit circle, we know that OB = 1.
We'll use the cosine rule to connect the adjacent over hypotenuse like so
[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\alpha) = \frac{\text{OA}}{\text{OB}}\\\\\cos(\alpha) = \frac{\text{OA}}{1}\\\\\text{OA} = \cos(\alpha)\\\\[/tex]
So you'll type either [tex]\cos(\alpha)[/tex] or cos(alpha) into the box for OA.
----------------------------------------
We're still working with triangle AOB only.
Side AB is the opposite side with respect to reference angle alpha.
We can say
sin(angle) = opposite/hypotenuse
sin(alpha) = AB/OB
sin(alpha) = AB/1
AB = sin(alpha)
Basically it's almost identical to the previous section's steps, but we're using sine instead of cosine this time. Like before, you can type in either [tex]\sin(\alpha)[/tex] or sin(alpha) depending on your teacher's preferences.
----------------------------------------
This next section can be a bit tricky.
Sides AB and DC are parallel due to them being both vertical. We can use the AA (angle angle) similarity theorem to prove triangle BOA is similar to triangle DOC. The order of the letters is important. The order helps us see how the sides pair up, or how they correspond, so we can form the correct proportion.
The vertical sides of the triangles are AB and DC as mentioned earlier, so they form one fraction AB/DC. I'm dividing small over big.
Another fraction we can form is OA/OC which is dividing the horizontal legs (again small/big).
Overall, due to the similar triangles, we can set up this equation
AB/DC = OA/OC
We'll plug in what we found earlier. Also, OC = 1 because it's another radius of the same unit circle.
Lets solve for side DC.
AB/DC = OA/OC
sin(alpha)/DC= cos(alpha)/1
sin(alpha)*1 = DC*cos(alpha)
DC = sin(alpha)/cos(alpha)
DC = tan(alpha)
--------------------------------------
In summary, segments OA, AB and OC represent the cosine, sine and tangent of the reference angle alpha. These are visual ways to see how the trig ratios correspond to lengths of triangles when connecting them to the unit circle like this.
Side notes:
Point B is at the location (cos(alpha), sin(alpha)). Point D is at (1, tan(alpha)).Circle P contains a diameter AB with coordinates A(1, 2) and B(-7, 2).
5a) State the coordinates of the center.
5b) Determine the length of the radius.
5c)Johnny used the above information for the center and radius and come up with the equation below. Do you agree or disagree with his answer? Explain.
PLEASE ANSWER I DONT HAVE MUCH TIME
Answers
Answer:
[tex]centre = ( \frac{1 - 7}{2} , \: \frac{2 + 2}{2} ) \\ = ( - 3, \: 2)[/tex]
[tex]length = \sqrt{ {( - 7 - 1)}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ { - 8}^{2} } \\ = 8 \: units[/tex]
radius = 8÷2
= 4 units
Johnny was right
Find the area and circumference of a circle with a radius of 13cm. ::note:: answers can be written in decimal form to the nearest hundredth (for example, 9.42) or in terms of pi (for example if you wanted to say 3π
you could write 3 pi--the pi symbol is not available to Area=
Circumference=
Answers
Answer:
14cm
Step-by-step explanation:
Answer:
28 cm2
14 cm
Step-by-step explanation:
Divide 20 by the difference of 14 and 9.
Answers
What are the domain and range of this function?
Answers
Answer:
first one. domain: all real numbers, range: {y | y ≥ 0}
Answer:
The domain is all real numbers
The range is y ≥ 0
Step-by-step explanation:
The domain is the values that x can take
The domain is all real numbers
The range is the values that y can take
The range is y ≥ 0
Identify the type of sample:
A news reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park
Answers
The type of sample is a stratified sampling.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data
Given that news reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park
We need to find the type of sample.
This is a stratified sampling because reporter at a family amusement park asked a random sample of 20 kids and a random sample of 20 adults about their experience at the park
stratified sampling is a method of sampling from a population which can be partitioned into subpopulations.
Hence, the type of sample is a stratified sampling.
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Simplify the polynomial (4n2 + 3n - 5) - (2n2 + 3n+ 6)
Answers
We keep brackets
(4n^2 + 3n - 5 ) - (2n^2 + 3n + 6)
We change signs and we group
4n^2 - 2n^2 + 3n - 3n - 5-6
We simplify
2m^2 - 11
Answer: = 2.n^2 - 11
The value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11
How to simplify the expression?The polynomial expression is given as;
(4n^2 + 3n - 5) - (2n^2 + 3n+ 6)
Open the bracket
4n^2 + 3n - 5 - 2n^2 - 3n- 6
Evaluate the like terms
2n^2 - 11
Hence, the value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11
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Need explanation and answer
Answers
1=22e 3663 30-4949-29238342
Answer:
[tex]x = \sqrt{12} = 3.464[/tex]
Step-by-step explanation:
[tex]AC=AD+DC=13\\\text{Because ABC is a right triangle then}\\AB^2=AD.AC\\\Rightarrow AB^2=1 \times 13=13\\\Rightarrow AB = \sqrt{13}\\\text{In the right triangle ABD, since Pythagoras we also have}\\AB^2=AD^2+BD^2\\\Rightarrow BD^2=AB^2-AD^2\\\Rightarrow x^2= 13 - 1=12\\\Rightarrow x = \sqrt{12} = 3.464.[/tex]
please help i will mark you brainliest... A number - _________= the previous number
Answers
Answer:
1
Step-by-step explanation:
When 1 substract from any number then will get previous number.
Example:
Let any number that is 5
5-1=4
4 is the just previous number of 5
Therefore, number -1 = the previous number
Answer will be 1
Jenn determined that the graph of the quadratic funtion f(x) =x^2 -9 has two x-intercepts. do you agree with her? why or why not?
Answers
Answer:
Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.
Step-by-step explanation:
x-intercepts of a function:
The x-intercepts of a function are the values of x for which f(x) = 0.
In this question:
[tex]f(x) = x^2 - 9[/tex]
x-intercepts:
[tex]x^2 - 9 = 0[/tex]
[tex]x^2 = 9[/tex]
[tex]x = \pm \sqrt{9}[/tex]
[tex]x = \pm 3[/tex]
Jenn:
Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
Which expression is equivalent to (1/√y)^-1/5?
A: 1/10√y
B: 1/√y^5
C: 10√y
D: 5√y^2
Answers
Answer:
C
Step-by-step explanation:
(1/√y)^-1/5
= (1/sqrt(y))^(-1/5)
=sqrt(y)^(1/5)
=y^(1/10)
= (tenth root of y)
=C
:)
if jane give £2 pounds to charlotte they will have equal amount of money. instead
charlotte give £4 to jane the ratio of jane's money to charlotte will be 2:1. how much
do jane and charlotte each have to start with
Answers
Let j = amount Jane has and c = amount Charlotte has
j - 2 = c + 2 if Jane gives Charlotte 2 pounds
j + 4 = 2(c - 4) if Charlotte gives Jane 4 pounds
j + 4 = 2c - 8
Subtract equation 1 from equation 3
6 = c - 10
c = 16
j = c + 4 = 20
Help lol i have until tomorrow <3
X/3 - 2 = 6
Answers
Answer:
x=24
Step-by-step explanation:
if x is 24 in x/3, that would give us 24/3 or 8.
8-2=6 :)
[tex]inverse function of \frac{3^x+2}{3^x-5}[/tex]
Answers
Answer:
[tex](3 {}^{x} + 2)(3 {}^{x} + 2)[/tex]
hope it is helpful to you
Find the mean of the data in the bar chart below.
Answers
Explanation: The mean is the average of a data set. Add the numbers from the data set and divide by how many numbers.
Given that tangent squared theta = three-eighths, what is the value of secant theta?
Answers
Answer:
[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]
Step-by-step explanation:
Given
[tex]\tan^2 \theta = \frac{3}{8}[/tex]
Required
[tex]\sec\ \theta[/tex]
We have:
[tex]\sec^2\theta = 1 + \tan^2 \theta[/tex]
This gives:
[tex]\sec^2\theta = 1 + \frac{3}{8}[/tex]
Take lcm and solve
[tex]\sec^2\theta = \frac{9+3}{8}[/tex]
[tex]\sec^2\theta = \frac{11}{8}[/tex]
Take square roots
[tex]\sec \theta = \frac{\sqrt{11}}{\sqrt 8}[/tex]
[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2}[/tex]
Rationalize
[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]
Answer:
answer is B
Step-by-step explanation:
i got it right on edg
Tom and his four friends are going to a baseball game. If the total amount they spent on tickets was $50, how much did they spend on each ticket?
Answers
12.50 on each ticket
Step-by-step explanation:
12.50 x 4 = 50.00
How much of a radioactive kind of rhodium will be left after 120 seconds if the half-life is 30 seconds and you start with 480 grams?
Answers
9514 1404 393
Answer:
30 grams
Step-by-step explanation:
The time 120 seconds is 4 times the half-life of 30 seconds. That means (1/2)^4 = 1/16 of the original amount will remain. That is (480 g)(1/16) = 30 g.
30 g of the radioactive rhodium will be left
Triangle ABC is similar to triangle EFD what scale factor is required to dilate triangle abc so that it's image, ABC is congruent to triangle EFD
Answers
Step-by-step explanation:
the scale factor k = 5/12
The scale factor k = 5/12 is required to dilate triangle ABC thus, its image, ABC is congruent to triangle EFD.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
From the figure attached, we are given that Triangle ABC is similar to triangle EFD.
Therefore,
BC/ FD = AC/ ED
These corresponding sides are proportional.
Scale factor;
EF / AB = 5/12
Then Angle between this sides is also equal.
The SAS rule of similarity of triangles states that two triangles will be similar if their corresponding two sides are proportional and the angle between these two sides is equal.
The scale factor k = 5/12 is required to dilate triangle ABC thus, its image, ABC is congruent to triangle EFD.
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In 2002 the Supreme Court ruled that schools could require random drug tests of students participating in competitive after-school activities such as athletics. Does drug testing reduce use of illegal drugs? A study compared two similar high schools in Oregon. Wahtonka High School tested athletes at random and Warrenton High School did not. In a confidential survey, 6 of 108 athletes at Wahtonka and 28 of 129 athletes at Warrenton said they were using drugs. Regard these athletes as SRSs from the populations of athletes at similar schools with and without drug testing.
Required:
a. You should not use the large-sample confidence interval. Why not?
b. The plus four method adds two observations, a success and a failure, to each sample. What are the sample sizes and the numbers of drug users after you do this?
Answers
Answer:
b
Step-by-step explanation:
Rhode Island Red chicks cost $3.20 each and Buckeye chicks cost $3.44 each.
A farmer buys 4 Rhode Island Red chicks for every 3 Buckeye chicks.
He buys 70 chicks in all. What is the total cost of the farmer's chicks?
Show your work
Answers
Answer:
Step-by-step explanation:
Rhode Island Red chicks = 3.20 Dollars
Buckeye chicks = 3.44 Dollars
For every3 times as 3.44 Dollars, The farmer buys 4 times as 3.20 Dollars so simply Multiply until you reach 70 S0..
3.44 x 3
= 10.32
3.20 x 4
= 12.8
With 7 chicks, combine the prices of the chicks and multiply it by 10.
= 12.8 + 10.32
= 23.12
= 23.12 x 10
= 231.2
So 231.2 Dollars were spent for 70 chicks`in total.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The total cost of farmers' chicks is $231.2
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
Total chicks = 70
4 Rhode Island Red chicks = 3 Buckeye chicks.
Multiply 10 on both sides.
40 Rhode Island Red chicks = 30 Buckeye chicks.
We see that,
40 + 30 = 70
Now,
Rhode Island Red chicks cost = $3.20
Buckeye chicks cost = $3.44
Now,
= 40 x 3.20 + 30 x 3.44
= 128 + 103.2
= $231.2
Thus,
The total cost of farmers' chicks is $231.2
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What is a polygon?
a. A closed plane figure made up of line segments
b. An open plane figure made up of line segments
c. A closed plane figure made up of rays
d. An open plane figure made up of rays
Answers
Answer:
A. A closed plane figure made up of line segments
Step-by-step explanation:
Answer:
A closed plane figure made up of line segments
I’m stuck between 51 or 42 HELP!!!
Answers
Answer:
51
Step-by-step explanation:
Have a nice day :)
find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. if y varies directly as X and Z, and t=8/3 when x=1 and z=4, find y when x=6 and z=3
Answers
Answer:
The Question isn't clear
Step-by-step explanation:
Answer:
can someone please answer this question correctly for me. i need it asap
Step-by-step explanation:
Determine the standard form of the equation of the line that passes through (6, -9) and (-8, 6)
A. 15x+14y=-36
B. 14x+15y=-36
C. 15x+14y=36
D. 15x-14y=-36
Please select the best answer from the choices provided
Answers
9514 1404 393
Answer:
A. 15x +14y = -36
Step-by-step explanation:
Since we are given two points, we can start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (6 -(-9))/(-8 -6)(x -6) +(-9)
y = 15/-14(x -6) -9
Multiplying by -14, we have ...
-14y = 15x -90 +126
Adding 14y-36 to both sides gives ...
-36 = 15x +14y . . . . matches choice A
The standard-form equation is ...
15x +14y = -36
_____
Additional comments
It can be easier to start with the form ...
(Δy)x -(Δx)y = (Δy)x1 -(Δx)y1 . . . . . where Δx = x2-x1 and Δy = y2-y1
This gives ...
(6+9)x -(-8-6)y = 15(6) +14(-9)
15x +14y = -36 . . . simplified
__
You can also start with the slope-intercept form or the point-slope form, if you're more familiar with those. The result will be the same. I find it handy to be familiar with a number of different forms of the equation for a line.
Find the 59th term of the arithmetic sequence
29,37,45,...
Answers
Answer:
13,456
Step-by-step explanation:
Tn= a+(n-1)d
a is the first term, n is the given number and d is the common difference. d is given by subtracting the first term from the second term or the second from the third. Therefore the the 59th term of the sequence 29, 37, 45 is,
Tn= 29+(59-1)8
=29(58)8
=13,456
Write the ones digit of the squares of the following numbers. (a) 21287
Answers
7
___________________
please help! (listing BRAINLIST and giving points) :D
Answers
Answer:
40°
Step-by-step explanation:
because angle In an isosceles triangle base angles are same and angle in a triangle add up to 180° and angle on a straight line add up to 180°
hope this helps:)
the following data represent the number of people aged 25-64 years covered by health insurance (private or government) in 2018. approximate the mean and standard deviation
Answers
Answer:
mean = find the total of people in such data by adding up all the totals of people represented by each age then divide that total by 2.
mean = with cumulative or frequency graphs if the numbers range individually like 25-30 and 30-35 etc and so on then you take the midpoint age and multiply it by the frequency number in new column add up both columns then divide by smaller total.
mean = histogram total number of data ie) from 270 people (80 x 0 = 0), (40 x 2 = 0) and so on multiplying the frequency. then add them all up in new column ie) 380 among 270 people = 1.4
mode = histogram highest box
median = histogram add up all data number divided by 2 and can draw this on graph as they sort of are in order ie) 15 to the left and 15 to the right
To find standard deviation you need the copulative formula and the notation change for sample shows the small m and s to represent standard deviation ie) m-n is a notation difference for samples of population's
n = number of scores ie) = 50
Ex = then sum of x = would be the collective total ie) = 270
m = 270/50 = 5.4
Ex^2 = 270 x 270 = 72900 (the square of the total population)
SS = Sum of squares = 72,900 - ( 270^2 / 50) are all the variables.
is the formula = 71,442
the root of SS -1
S^2 = 270 / (50 -1) = 270/49 = 5.51
S = sqrt S^2 = sqrt SS /n-1 = sq rt 50 = and you get your answer here.
Standard Deviation on data example here shown is;
S = sqrt 5.51 = sqrt 71442 / n-1 = sq rt 71442/ 50-1 = sq rt 71442/49 = 38.1837662 from a 270 population that exists with 50 age group 25 -75 to show the ease here and how to remember.
Just retrace and where 270 is change for total
Where 50 is put 64-25 = 39
and where n-1 is put 39-1 and always subtract first before dividing as the formula protects the brackets as seen in bold.
As your very last formula is S = SS/n-1
Step-by-step explanation: