The mean of the distribution of sample proportions is 179.8 and the standard deviation is 0.019
What is sampling distribution of proportion?The sample distribution of the proportions is used to measure the proportion with which success is achieved. The chance of an event taking place is the proportion computed by dividing the number of successes by the size of the sample.
Given that, You intend to draw a random sample of size n = 580 from a population whose parameter is p = 0.31, we are asked to find the mean of the distribution of sample proportions and standard deviation of the distribution of sample proportions.
Under the sampling distribution of the proportions, the mean and standard deviation are calculated by :
a) The mean is given as ;
μ = nP
Where, n is the sample size
P is the population proportion
Therefore,
μ = 580(0.31)
μ = 179.8
b) The standard deviation is given as follows :
δ = [tex]\sqrt{\frac{P(1-P)}{n} }[/tex]
δ = [tex]\sqrt{\frac{0.31(1-0.31)}{580} }[/tex]
δ = 0.019
Hence, the mean of the distribution of sample proportions is 179.8 and the standard deviation is 0.019
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choose the graph that solves system of equations.y=2x-6 y=-4x+3
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Trapezoid KLMN has vertices K(1, 3), L(3, 1), M(3, 0), and N(1, −2).
Is this trapezoid an isosceles trapezoid?
Select from the drop-down menu to correctly complete the statement.
Trapezoid KLMN
is not
an isosceles trapezoid.
Answer:
Yes, the trapezoid is an isosceles trapezoid.
As the diagonals of the trapezoid KLMN are not equal in length it is not an isosceles trapezoid.
What is the area of a trapezoid?The area of a trapezoid is the average length of the parallel sides times the height.
We know isosceles trapezoids have equal legs length and diagonals are also of the same length.
Given a trapezoid KLMN with verticies K(1, 3), L(3, 1), M(3, 0), and N(1, −2).
∴ KM and LN are two diagonals of the trapezoid and if KM = LN then it is an isosceles trapezoid.
To determine if KM and LN are equal or not we'll simply use the distance formula which is,
D = [tex]\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}[/tex].
∴ KM = [tex]\sqrt{ (3 -1)^2 + (0 - 1)^2}[/tex].
KM = [tex]\sqrt{ (2)^2 + (-1)^2}[/tex].
KM = [tex]\sqrt{5}[/tex].
And LN = [tex]\sqrt{ (1 -3)^2 + (-2 - 1)^2}[/tex].
LN = [tex]\sqrt{ (-2)^2 + (-3)^2}[/tex].
LN = [tex]\sqrt{ 4 + 9}[/tex].
LN = [tex]\sqrt{13}[/tex].
∴ KM ≠ LN hence diagonals are not equal.
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please help will mark braileist
Answer:
EG
Step-by-step explanation:
Please find the measure of angle F
Answer:
98º
Step-by-step explanation:
15 metre long ladder reached the a window 12 metre height from the ground and placing it against a wall and distance a find the distance of photo of the letter from the wall
Answer:
this is the answer of the required questions
thank you
please Mark this as brainlist answer
There are 50 students in a class and their annual result is presented in the following table:
Result
fail , 7 students
pass, 43 students
If a student is selected at random find the probability that the student has passed the examination.
factors of -135 that equal to -7
Answer:
Need more information.
Step-by-step explanation:
What is the length of AB?
Answer: 6 units
Step-by-step explanation:
I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.
Answer:
AB = 38.64 m
Step-by-step explanation:
[tex] \cos \: 75 \degree = \frac{10}{x} \\ \\ x = \frac{10}{ \cos \: 75 \degree } \\ \\ x = 38.637033052 \\ \\ x \approx \: 38.64[/tex]
AB = 38.64 m
Solve the following equation. Show all work and check your answer: 5j=625?
Answer:
j = 125
Step-by-step explanation:
All you do is take 625 divided by 5 to get 125. Replace j for 125 to get 625 so j is equal to 125.
HELP ASAP
Will GUVE BRAINLIEST!!
Jayla and Brian are both selling cookie dough for a fundraiser. Although, Jayla has already sold 4 tubs, brian haven’t sold any yet. If jayla starts selling 1 Tun per day and brian begins selling 2 tubs per days, they will eventually sell the same amount of cookie dough, how many days will that take?
Write the expression. And solutions written as an ordered pair.
Answer:
cookie dough fundraiser is a great way to raise money for your school, team, ... selling large or small cookie dough tubs, or pre-portioned cookie dough trays.
Answer:
4 days
Step-by-step explanation:
If we say d = number of days passed, j = tubs sold by jayla and b = tubs sold by brian
j = 4 + d
because when d = 0 j must equal 4, then it goes up by 1 each day
b = 2d
because when d = 0 b must be 0, then it goes up by 2 each day
set them to be equal and solve for d
4 + d = 2d
d = 4
so after 4 days they sell the same amount which is 8
9) 5xy+10x ??????????????????
Answer:
5x(y+2)
Step-by-step explanation:
Answer:
You cannot add them because they both don't have the same like terms.
But if you just straight out add your answer would either be 15xy or just 15x
Step-by-step explanation:
Sorry hope this helped in someway
4x^2+4x^2-20x+12y-2=0 standard form
Answer:
4x²+4y²-20x+12y-2=0
4x²-20x+4y²+12y = 2
4(x²-5x) + 4(y²+3y) = 2
4(x²-5x+25/4) + 4(y²+3y+9/4) = 2 + 4*25/4 + 4*9/4
4(x-5/2)² + 4(y+3/2)² = 36
(x-5/2)² + (y+3/2)² = 9
Step-by-step explanation:
hope this helped :)
Answer:
y= -2/3x^2 + 5/3x + 1/6
Step-by-step explanation:
what is the slope intercept form
Answer:
5.8
Step-by-step explanation:
5.8 is the correction
Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.
How many pounds of grapefruits did Eloise buy?
Answer:
6.24 pounds
Step-by-step explanation:
12 x .52 = 6.24 pounds
Answer:
The answer would be 6.24lb
Step-by-step explanation:
I took the k12 test
What is the NPV of (x-5)
Aşağıdaki parçaların hangisinde öyküleyici bir anlatım vardır
A)Kitap; noktalama işaretleri ile ilgili çeşitli tespitlere tespitlerden sorunlara sorunlardan çözümlere çö-
9.SINIF SALLAMAYIN DEVAMI FOTODA
Answer:
I would love to help, Could you put the question in EnglisStep-by-step explanation
9. Jude deposited $550 into an account that
earns simple interest, and after 11 years, the
interest in the account was $484. What was
the simple interest rate?
Answer:
8% interest rate
Step-by-step explanation:
step-by-step explanation: intrest = 484
Need help ASAP
Thankss + BRAINLIST only for correct answer
Answer:
(2, 0)
Step-by-step explanation:
Given the simultaneous equation
2x-y = 4
3x+y = 6
Add both equation
2x+3x = 4 + 6
5x = 10
x = 10/5
x = 2
Substitute x = 2 into equation 1
From1 ;
2x-y = 4
2(2) - y = 4
4 - y = 4
y = 4-4
y = 0
Hence the solution to the system of equation is (2, 0)
A rectangular path 60m and 3m is covered with square tiles of 25 cm. How many tiles wil be used to cover the path ?
Answer:
2880 tiles
Step-by-step explanation:
A rectangular path has dimensions 60 m and 3 m.
Area of a rectangular path = length × breadth = 60 × 3 = 180 [tex]m^2[/tex]
Use [tex]1\,m^2=10000\,cm^2[/tex]
So,
Area of a rectangular path = 180(10000) = 18,00,000 [tex]cm^2[/tex]
Side of a square tile = 25 cm
Area of a square tile = side × side = 25(25) = 625 [tex]cm^2[/tex]
Number of square tiles = Area of a rectangular path ÷ Area of a square tile
= [tex]\frac{1800000}{625} =2880[/tex] tiles
A square has an area of approximately 500 square feet. Which of the following would be the most reasonable estimate of the length of the side of the square?
Answer:
22.36
Step-by-step explanation:
22.36 X 22.36 =(Approx) 500 feet2
The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:
Determine whether the data described in the tables is best modeled by a linear function or an exponential function
Answer:
oak tree is a linear function and birch tree is exponential
Step-by-step explanation:
cuz i just did it
The oak tree have a liner function and the birch tree have exponential function .
What is linear function?Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
What is exponential function?An exponential function is a mathematical function of the following form:
f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.
According to the question
The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:
Number of Oak trees (x) Number of branches f(x)
0 34
3 46
6 59
9 70
12 82
So in this table we can see that there is increment in number of branches but in a pattern approx.
i.e
f(x) = 34 + 4(x)
where x will be Number of Oak trees
therefore it is a Linear function
Number of Birch trees (x) Number of branches f(x)
0 8
10 33
20 128
30 512
40 2049
So , in this table is increasing in a very fast pace but in a pattern approx.
i.e
f(x) = [tex]8*4^{\frac{x}{10} }[/tex]
Therefore it is an exponential function
Hence, The oak tree have a liner function and the birch tree have exponential function .
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3(x+5)+3(x+5) help! Please
Answer:
=6x+30
Step-by-step explanation:
happy to help ya :)
9 - x < -11 lololol help
Answer:
Hey! Your answer is , x >20
Step-by-step explanation:
Hope this helps! :)
Have a nice day!
If we solve h(x) = 36, one of the possible values of x is 1
What is the other possible value of x?
Answer:
Step-by-step explanation:
(x+5)² = 36
x+ 5 = ±√36 = ±6
x = -5 ±6 = 1, -11
this is for keigo-san ^^
whats 6x3-9x=
Answer:
18-9x
Step-by-step explanation:
Answer:
18-9x
Step-by-step explanation:
What is the value of x?
Answer:
x = 22
Step-by-step explanation:
hope I helped!!
Kevin can travel 24 1 4miles in 1 3hour. What is his average speed in miles per hour?
Answer:
The answer is about 331 miles.
Step-by-step explanation:
I took the test and the answer is correct <3!
Answer:
deeznuts
Step-by-step explanation:
ha got tem
I’ll mark branliest!
2. Lindsay is financing $350,000 to purchase a house. How much money will she save over the life of a 30-
year, fixed-rate loan by buying 3 points with a rate of 6.375% instead of not buying points with a rate of
6.75%?
A. $2,596.50
B. $13,096.50
C. $20,658.00
D. $31,158.00
Answer:
D
Step-by-step explanation:
DONT DO PART C you do not need to do that one i only need help on A and B please.
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x - y = 5 → (1)
4x + y = - 10 → (2)
Rearrange (1) expressing y in terms of x
(a)
y = x - 5 → (3)
Substitute y = x - 5 into (2)
4x + x - 5 = - 10
5x - 5 = - 10 ( add 5 to both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
Substitute x = - 1 into (3) for corresponding value of y
y = - 1 - 5 = - 6
(b)
As a check
Substitute x = - 1, y = - 6 into the left side of the 2 equations and if equal to the right side then they are the solution
(1 ) x - y = - 1 - (- 6) = - 1 + 6 = 5 ← True
(2) 4x + y = 4(- 1) + (- 6) = - 4 - 6 = - 10 ← True
Thus solution is (- 1, - 6 )
How to solve this system of equations?
y = 7x + 10
y = -4x - 23
x=
y=
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
x = - 3, y = - 11
Step-by-step explanation:
Given the 2 equations
y = 7x + 10 → (1)
y = - 4x - 23 → (2)
Substitute y = 7x + 10 into (2)
7x + 10 = - 4x - 23 ( add 4x to both sides )
11x + 10 = - 23 ( subtract 10 from both sides )
11x = - 33 ( divide both sides by 11 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 7(- 3) + 10 = - 21 + 10 = - 11