Answer:
The value is [tex]P(| \^ p - p| < 0.05 ) = 0.9822 [/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.52[/tex]
The sample size is n = 563
Generally the population mean of the sampling distribution is mathematically represented as
[tex]\mu_{x} = p = 0.52[/tex]
Generally the standard deviation of the sampling distribution is mathematically evaluated as
[tex]\sigma = \sqrt{\frac{ p(1- p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }[/tex]
=> [tex]\sigma = 0.02106 [/tex]
Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as
[tex]P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))[/tex]
Here [tex]\^ p[/tex] is the sample proportion of persons with a college degree.
So
[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )[/tex]
Here
[tex]\frac{[\^p - p] - p}{\sigma } = Z (The\ standardized \ value \ of\ (\^ p - p))[/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 } < Z < \frac{-0.47 + 0.52}{0.02106 }][/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[ -2.37 < Z < 2.37 ][/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(Z < 2.37 ) - P(Z < -2.37 )[/tex]
From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is
[tex]P(Z < 2.37 ) = 0.9911[/tex]
and
[tex]P(Z < - 2.37 ) = 0.0089[/tex]
So
=>[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) =0.9911-0.0089[/tex]
=>[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = 0.9822 [/tex]
=> [tex]P(| \^ p - p| < 0.05 ) = 0.9822 [/tex]
Need help asap PLEASE same problem just made it easier to see
Label XY with 3.
Label angle X with 53 degrees.
Label angle Y with 90 degrees.
Label angle C with 37 degrees.
Label angle A with 53 degrees.
Label BC with 4.
Label AC with 5.
Answer: i don't know if you want degrees or the lengths so i did both
∠ACB = 37°
∠BAC = 53°
∠ZXY = 53°
∠XYZ = 90°
∠XZY = 37°
∠ABC = 90°
BC = 4
AC = 5
AB = 3
YZ = 4
XY = 3
XZ = 5
Step-by-step explanation:
37 + 90 = 127
180 - 127 = 53
37 + 90 + 53 = 180
HELP : calculating slope between two points.
Answer:
(1.)3.5 (2.)-3 (3)0
Step-by-step explanation:
if right comment please
Which statement describes the vertical asymptotes of the graph of f(x) = x2–64/8x - 64
Answer:
The graph has no vertical asymptote. or A
Step-by-step explanation:
Right on edge
For the given function f(x) = (x² -64) / (8x -64) there is no vertical asymptotes of the graph.
What is vertical asymptotes ?"A vertical asymptote is a vertical line, , which represents that invisible line approaches from either the positive or negative side, the function approaches infinity. Vertical asymptotes occur at the values where a rational function has a denominator of 0."
According to the question,
Given,
f(x) = (x² -64) / (8x -64)
= ( x- 8)(x + 8) / 8(x -8)
= (x + 8) / 8
= x/8 + 1
To find vertical asymptotes denominator = 0.
But here denominator 8 ≠ 0
Therefore,
No vertical asymptotes
horizontal asymptotes: no
slant/ oblique asymptotes: y = x/8 + 1
Hence, the graph has no vertical asymptotes.
Learn more about vertical asymptotes here
https://brainly.com/question/11743529
#SPJ2
Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart. 1
Answer:
The given sequence [tex]49,36,25,16,8,4,1[/tex] is neither a arithmetic nor a geometric sequence
Step-by-step explanation:
A sequence is said to be an arithmetic sequence if difference between the terms is same.
A sequence is said to be a geometric sequence if ratio of the terms is same.
Given sequence is [tex]49,36,25,16,8,4,1[/tex]
Here,
[tex]36-49=-13\\25-36=-11\\36-49\neq 25-36[/tex]
So, this sequence is not an arithmetic sequence.
Also,
[tex]\frac{36}{49}\neq \frac{25}{36}[/tex]
So, this sequence is not a geometric sequence.
Therefore,
The given sequence [tex]49,36,25,16,8,4,1[/tex] is neither a arithmetic nor a geometric sequence
(HELP PLEASE) Lines a and d are
-non-coplanar.
-parallel.
-perpendicular.
-skew.
Analyzing a System
Solve the system of inequalities.
x² - gpg
v> 2
Which describe the solution set of the given system?
Check all that apply
The solution set is unbounded.
The point (1, 0) is in the solution set.
There is one point of intersection of the boundary
curves
The boundaries of the overlapping region are in the
solution set.
The boundary curves intersect at approximately
(-3,0).
Answer:
A, C, E
Step-by-step explanation:
took the assignment on edge
Answer:
a , c and e
Step-by-step explanation:
got it right on edg ^u^
What is the midpoint of the segments with endpoints (3,7) and (9,15)
Answer:
(6,11)
I can confirm that this question is right.
12/2 22/2
(6 , 11)
8/9 - 1/3 equals what
Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.
Answer:
El nieto de 14 años de edad recibirá la mayor cantidad.
Step-by-step explanation:
En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.
Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.
A dietician is considering three food types to be served at a meal she is particularly concerned with the amount of one vitamin provided?
5 years ago
at this meal ,. One ounce of food 1 provide 8 milligrams of the vitamin , an ounce of food 2 provides 24 milligram and an ounce of food 3 provides 16 milligrams . The minimum daily requirements for vitamin is 120 milligram
a. If x equals the number of ounces of food type j served at meal, determine the equation which ensure the meal satisfies MDR exactly.
i want linear equation solution of this
Answer:
8* x₁ + 24*x₂ + 16*x₃ ≥ 120
Step-by-step explanation:
food 1 provides 8 mgrs of vitamin
food 2 provides 24 mgrs of vitamin
food 3 provides 16 mgrs of vitamin
If xj ( j = 1 ,2,3 ) is the quantity in ounces of food ( 1, 2, 3 ) then:
8* x₁ + 24*x₂ + 16*x₃ ≥ 120
Give the probability distribution for X:
x 0 1 2 3
f(x) 1/4 1/8 1/2 1/8
Find Var.
Answer:
Var(x)=1
Step-by-step explanation:
x p(x) x² x*p(x) x²*p(x)
0 1/4 0 0 0
1 1/8 1 1/8 1/8
2 1/2 4 1 2
3 1/8 9 3/8 9/8
Total 3/2 13/4
The required variance can be computed as
Var(x)=sumx²*p(x)-(sum(x*p(x)))²
Var(x)=13/4-(3/2)²
Var(x)=13/4-9/4
Var(x)=4/4
Var(x)=1
Thus, the required variance is 1.
I need help please and thank you in advance
I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE
so
y=9 -> y=18
*2
x=8 -> x=16
*2
so x = 16
Answer:
the only logical way solving this question is:
if y=9 then x=8
if y=18 then x should be 16
Step-by-step explanation:
I cant find any other way to solve
Find the product: 5(2x2 + 4x + 3)
Answer:
10x^2+20x+15
Step-by-step explanation:
5(2x^2+4x+3)
u distributed it and u get
10x^2+20x+15
Answer: I am pretty sure it is 115+20x
Step-by-step explanation: You have to do distributive Property
10 times 10+ 20x+15
100+20x+15
115+20x
You can buy a pack of 12 batteries
for $6. What is the unit price?
Answer:
Each battery costs .5 dollars or 50 cents
Step-by-step explanation:
6/12=.5
Answer:
total units 12
cost per unit $ 0.5000
Step-by-step explanation:
Hope this helps! :)
the info about it is down below enjoy your day :)
Step-by-step explanation:
column 2 is greater
have a gret day too
To finish a certain job in 8 days in 6 workers are needed. if it is required to finish the same job in 2 days advance how many workers have to work?
Answer:
The job needs 48 worker/days.
Step-by-step explanation:
To do it in 4 days, 48/4 or 12
Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?
The rate of return that the university must realize in order to award the annual scholarship forever is _____%.
Answer:
5.73%
Step-by-step explanation:
Calculation for the rate of return that the university must realize
Using this formula
Rate of return = Initial payment/(Plan to donate- Initial payment)
Let plug in the formula
Rate of return=$13,000/($240,000-$13,000)
Rate of return=$13,000/$227,000
Rate of return=0.0573*100
Rate of return =5.73%
Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.
4(3x + 1)
What is the answer to 4(3x + 1)
Answer:
Answer is 12x+4. Hope that helped.
What integer represents the situation ""6 yards behind the winner""?
Answer:
-6
Step-by-step explanation:
An integer is a whole number that can either be positive, negative or zero.
Now, we want to write the integer that represents 6 yards behind the winner.
Now, a distance of 6 yards behind the winner means a deficit distance of 6 yards behind the winner. Which in turn means a negative distance which is -6 yards behind the winner.
Thus, the integer is -6
Winter coats are marked 70% off on February 1st. if a coat costs $57.75 on January 31st, how much will it cost on February 1st.
Answer:
57.75-(57.75*0.7)=17,325
Or 100-70=30
So 57.75*0.3=17.325
Answer:
$40.425
Step-by-step explanation:
hope it helps good luck
Look at the pattern below.
0, 3, 6, 9, ...
Create a new pattern that follows the same rule as the one above.
0,5,10,15,20,
Step-by-step explanation:
I'm just adding 5 to each because I add 3 to each number
Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.
Answer:
For a single value of x function has more than one corresponding value of y which satisfies the equation.
Step-by-step explanation:
Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.
It means for an equation to represent a function any single value of x there should be only one corresponding value of y which satisfies the equation.
Now consider the given equation.
[tex]x^2 + y^2 = 8[/tex]
If we put x=0 then we get two value of y i.e [tex]\sqrt8[/tex] and [tex]-\sqrt8[/tex] which satisfy the equation and therefore the equation is not a function.
A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and their plan of going to graduate school. Compute the row percentages.
A. Yes = 35% and No = 65% Business = 25%, Engineering = 30%, and Others = 45%
B. Yes = 48% and No = 52% Business = 31.5%, Engineering = 36.5%, and Others = 32%
Incomplete question. Attached is an image of the table.
Step-by-step explanation:
A.
Yes = 35% = [tex]\frac{280}{800} * 100 =[/tex] 35%. and No = 65% = [tex]\frac{520}{800} * 100 =[/tex] 65%
Business = 25% = [tex]\frac{70}{280} * 100 =[/tex] 25%.Engineering = 30% = [tex]\frac{84}{280} * 100 =[/tex] 30%. and Others = 45% = [tex]\frac{126}{280} * 100 =[/tex] 45%.Find the slope of the line
hurry i'm doing a test so
what is the value of x in the equation 5.5x = 17.6?
Answer:
x=3.2
Step-by-step explanation:
Answer:
x=3.2
Step-by-step explanation:
Divide each term by 5.5 and simplify.
x = 3.2
Maureen reads at an average rate of 18 pages per hour. If she reads for 3.5 hours how many pages will she read?
the answer is 63
Step-by-step explanation
18 x 3.5=63
Answer: 63 pages
Explanation: 18 times 3 equals 54 and then for half an hour that's 9 minutes added to 54 which is 63 pages.
idk the answer at all
Answer:
y-1=3/2(x+3)
Step-by-step explanation:
Calculate the slope m of the given line using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line
m=2+4/2+2=6/4=3/2
Parallel lines have equal slopes.
The equation of a line in point-slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3/2 and (a, b) = (- 3, 1), thus
y - 1 = 3/2 (x - (- 3)), that is
y - 1 = 3/2 (x + 3) ← equation in point- slope form
Hanna lost 4 points on a test and earned 4 points on an extra-credit question
Answer:
the total points earned and lose cancel eachother out to be 0. she did not lose any points
Answer:
the total points earned and lose cancel eachother out to be 0. she did not lose any points
Step-by-step explanation:
The product of two integers is -40. If
the sum of the two integers is -3, what
are the two integers?
Answer:
-20
Step-by-step explanation:
no cap
