In a survey of 1000 people, 700 people said that they voted in the last presidential election. Let p denote the proportion of all people who voted. Find a point estimate for p and also construct a 90% confidence interval for p.
a) 0.700, (0.676, 0.724)
b) 700, (0.676,0.724)
c) 700, (0.642,0.767)
d) 0.700, (0.642,0.767)
e) 0.300, (0.276, 0.324)

Answers

Answer 1

Answer: a) a) 0.700, (0.676, 0.724)

Step-by-step explanation:

Confidence interval for population proportion p :

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

[tex]\hat{p}[/tex] = Sample proportion, n= sample size, z* = Critical value.

Let p denote the proportion of all people who voted.

As per given, n= 1000

[tex]\hat{p}=\dfrac{700}{1000}\\\\=0.7[/tex]

z* for 90% confidence = 1.645

Required confidence interval :

[tex]0.7\pm (1.645)\sqrt{\dfrac{0.7(1-0.7)}{1000}}\\\\=0.7\pm(1.645)\sqrt{0.00021}\\\\=0.7\pm (1.645)(0.0145)\\\\=0.7\pm 0.0238525\\\\=(0.7-0.0238525,0.7+0.0238525)\\\\=(0.6761475,\ 0.7238525)\approx(0.676, 0.724)[/tex]

hence, the correct option is a) a) 0.700, (0.676, 0.724)


Related Questions

If a and b are zeroes of the x2 + 7 x+7, find the value of a−1+b−1−2ab.

Answers

9514 1404 393

Answer:

  -15

Step-by-step explanation:

If 'a' and 'b' are zeros of the quadratic f(x), its factored form is ...

  f(x) = (x -a)(x -b)

and its standard form is ...

  f(x) = x^2 -(a+b)x +ab

This tells us that ...

  a+b = -7

  ab = 7

for the given quadratic.

Then the expression of interest is ...

  [tex]a^{-1}+b^{-1}-2ab=\dfrac{1}{a}+\dfrac{1}{b}-2ab=\dfrac{a+b}{ab}-2ab\\\\=\dfrac{-7}{7}-2\cdot7=-1-14=\boxed{-15}[/tex]


Explain how to translate the phrase into an algebraic
expression
a number squared decreased by ten

Answers

Answer:

I think the answer is 1^2 - 10

(4x+ 5 = 20
Which best describes the circled part of the statement?
Expression
Coefficient
Term
Variable

Answers

Answer:

B) Coefficient.

Step-by-step explanation:

The coefficient is the numerical constant in the given term.

For example, the given term is 4x, in which:

4 is the coefficient.

x is the variable.

5 is the constant.

20 is another constant.

~

The measures of the angles of the triangle are 32°, 53º,
950. Based on the side lengths, what are the measures
of each angle?
m2A = 95°, mZB = 53º, mZC = 32°
MZA= 32º, mzB = 53º, mZC = 95°
MZA= 43º, mZB = 32°, m2C = 95°
OmZA= 53º, m B = 95°, m2C = 32°

Answers

Answer:

m∠A = 32°

Step-by-step explanation:

8^2 = 12^2 + 15^2 - 2*12*15*cosA

Answer:

B

Step-by-step explanation:

did it on edge

What is the period of the graph of y = 5 sin (πx) + 4?

Answers

Answer:

I think it’s 2 hope my answer was good have a nice day as well

Step-by-step explanation:

The period of the given function y = 5 sin (πx) + 4 is π.

We have given that,

y = 5 sin (πx) + 4

We have to determine the period

What is the period?

The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π.

Therefore the period of the given function is π.

To learn more about the period visit:

https://brainly.com/question/13753522

#SPJ2

Find a mathematical model for the below statement. (Use k for the constant of proportionality.) The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses and inversely proportional to the square of the distance r between the objects.

Answers

Answer:

[tex]F = k\frac{m_1m_2}{r^2}[/tex]

Step-by-step explanation:

Direct proportional:

Multiplication

Inverse proportional:

Division

The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses

This means that:

[tex]F = k\frac{m_1m_2}{}[/tex]

Inversely proportional to the square of the distance r between the objects.

Denominator is [tex]r^2[/tex]. Thus:

[tex]F = k\frac{m_1m_2}{r^2}[/tex]

put these numbers in order of size, smallest to largest 4.5,-1,-3,-3.5,3

Answers

Answer:

-3.5, -3, -1, 3, 4.5

Step-by-step explanation:

Answer:

-3.5, -3, -1, 3, 4.5 because the higher the negative is, the lower the number.

Pleeeeeeeese help me I will mark you as brainliest

Answers

[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]

FIND THE NUMBER THAT MAKE EQUIVALENT FRACTION.

[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

[tex] \red{solved} \\ \frac{4}{ \cancel{5}} = \frac{x}{ \cancel{40}^{ \: \: \: \tiny{8}} } \\ 8 \times 4 = x \\ 32 = x[/tex]

[tex] \blue{Part - 1} \\ \frac{4}{ \cancel{6}} = \frac{x}{ \cancel{24}^{ \: \: \: \tiny{4}} } \\ 4\times 4 = x \\ 16 = x[/tex]

[tex] \green{Part - 2} \\ \frac{1}{ 2} = \frac{6}{ x } \\ 6 \times 2 = x \\ 12 = x[/tex]

SOLVE LIKE THIS FOR ALL

PART - 3 --> 12

PART - 4--> 40

PART - 5 --> 6

PART - 6--> 4

PART - 7 --> 54

PART - 8 --> 12

PART - 9--> 36

PART - 10 --> 28

PART - 11--> 20

PART - 12 --> 28

PART - 13 --> 16

PART - 14 --> 20

PART - 15 --> 12

PART - 16 --> 6

PART - 17 --> 32

PART - 18--> 30

PART - 19 --> 27

PART - 20 --> 36

Which input value produces the same output value for the two functions


X=-12
X=-9
X=-6
X=-3

Answers

X= -6

Please mark brainliest

Pls solve this question:
it is about Square and square roots
if u answer, then I will mark you as brilliant

Answers

Answer:

2.3

Step-by-step explanation:

A number when squarerooted squared will be come that number.

In formula terms, it is something like that:

[tex]\sqrt{x} X \sqrt{x} =x[/tex]

So…

[tex]\sqrt{2.3} X \sqrt{2.3} = 2.3[/tex]

Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle?
Question 7 options:

A)

A cut parallel to the vertical axis, directly through the vertical axis

B)

A cross section cut parallel with the bottom

C)

A cut parallel to the vertical axis, but off the vertical axis

D)

Cutting off one of the bottom corners

Answers

Your answer would be C

Please help me with the correct answer

Answers

Answer:

50 books were sold

Step-by-step explanation:

there are 5 books in the Red Crow row, and each book is worth 10 sold.

So one book () is 10 books.
Red Crow has 5 . 5*10=50.
50 Red Crow books were sold

Sam is proving the product property of logarithms.

Answers

Answer: c

Step-by-step explanation: edge 2021

Solve the system of equations by substitution:
3n + 5m = 7
m - 4n = 6

Answers

Answer:

m=2, n=-1 or (2,-1)

Step-by-step explanation:

Hi there!

We're given this system of equations:

3n+5m=7

m-4n=6

we want to solve by substitution; in one equation, we'll set one variable to equal an expression containing the other variable, substitute that expression as the variable into the other equation, solve for the variable substituted, and use the value of that variable to find the other variable

First, let's get the expression we'll substitute into the other

let's use m-4n=6 as it has 1m (m by itself)

add 4n to both sides

m=4n+6

now substitute 4n+6 as m into 3n+5m=7 to solve for n

3n+5(4n+6)=7

do the distributive property

3n+20n+30=7

combine like terms

23n+30=7

subtract 30 from both sides

23n=-23

divide both sides by 23

n=-1

we found the value of n

now let's substitute -1 as n in m=4n+6 to find the value of m

m=4(-1)+6

multiply

m=-4+6

add

m=2

so the answer is m=2, n=-1. As a point, it's (2,-1)

Hope this helps! :)

Point D, not shown below, is one of the four (4) vertices of rectangle ABCD. Find its position and state the coordinate of point D.

Answers

Answer:

Hi im not got with graphs

Step-by-step explanation:

Imara used these steps to find the length of the hypotenuse of the right triangle.

3 squares are positioned to form a right triangle. The small square is labeled 15, medium square is 20, and large square is not labeled.

Step 1: Find the area of the square with side lengths of 20: 400
Step 2: Find the area of the square with side lengths of 15: 225
Step 3: Find the sum of the areas of the two squares: 625
Step 4: State the length of the hypotenuse: 625

Answers

Answer:

C, "She could have found the sum of 15 and 20 and then squared the sum."

Step-by-step explanation:

I just took the test on Edge :)

The answer is C, I got it right on edge.

Have a nice day everyone <3.

A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser.Using only the money she has, can Lin pay for a 6 hour event? Explain or show your reasoning.

Answers

Answer:

No, 6 hours would cost $335, 35 over her limit of $300.

Step-by-step explanation:

she has to pay $200 plus 22.50 for every hour she rents. So, if she rents for 6 hours, she has to pay $200 + 6(22.50) or $200 + 135=335. She only has $300 so she can’t afford the event.

how to write 403.225 in words and how do i get the answer. Thanks!!!!

Answers

Four-hundred three and two-hundred twenty five thousandths

The four is in the hundreds place and the three is in the ones so you pronounce it four-hundred three. The five is in the thousandths place and the second two is in the hundredths place so it’s pronounced two-hundred twenty five thousandths. And you always say “and” to represent your decimal.

Eli will photograph a wedding for a flat fee of ​$880 or for an hourly rate of ​$120. For what lengths of time would the hourly rate be less​ expensive?
The hourly rate would be less expensive if the wedding was less than ___ hours long.

Answers

Answer:

7 hours

Just divide 880/120 = 7.3333333

So if 7*120 = 840

An hour more would be more expensive.

Should I get my nose pierced??

Answers

Answer:

no...you can just use a clip on

Answer:

it's absolutely worth it. The pain of getting one isn't that bad, at least for me. It's just a quick pinch. It'll look so good. Just make sure you are also cleaning it.

Step-by-step explanation:

(Right angle Trigonometry) Please help me solve and explain!

Answers

Answer:

31.3

Step-by-step explanation:

Reference angle given = 56.1°

Hypotenuse = 56.1

Adjacent side = x = ?

We would apply CAH, which is:

Cos 56.1° = Adj/Hyp

Cos 56.1° = x/56.1

56.1 × Cos 56.1° = x

31.2895006 = x

x = 31.3 (approximated to the nearest tenth)

w= 2hx - 11x Solve for X. Please and Thank you

Answers

Answer:

[tex]{ \tt{ w = 2hx - 11x}} \\ \\ { \bf{w = x(2h - 11)}} \\ \\ { \bf{x = \frac{w}{2h - 11} }}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = \frac{w}{(2h - 11)} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]w = 2hx - 11x[/tex]

[tex]✒ \: w = x \: (2h - 11)[/tex]

[tex]✒ \: x = \frac{w}{(2h - 11)} [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Which of the following graphs show a
proportional relationship?
Choose all answers that apply:

Help me please I only have 20min left to do this

Answers

Answer:

A

Step-by-step explanation:

the graph that is proportional is A

Two angles are supplementary. One is 25° more than four times the other. Find the measures of the angles. ​

Answers

Answer:

100

Step-by-step explanation:

I believe it is this answer bur don't hold me to. If it is wrong I'm sorry in advance

Answer:

The two angles are 31° and 149°

Step-by-step explanation:

Let the two supplementary angles be , x and y.

         Then, x + y = 180° ----- ( 1 )

Given :  one is 25° more than 4 times other

           Let y = 25° + 4x ------ ( 2 )

Substitute ( 2 ) in  ( 1 ) :

     x + y = 180°

     x + 25° +4x = 180°

     x + 4x = 180° - 25°

           5x = 155°

             x = 31°

Substitute x in ( 2 ) :

            y = 25° + 4x

               = 25 + 4 ( 31 )

               = 25 + 124

               = 149°

HW HELP ASAP PLZZzzzzzzzz

Answers

Answer:

Graph 4

Step-by-step explanation:

What is the radius of a sphere with a volume of 11411 m ^3 to the nearest tenth of a meter

Answers

Answer:

r = 22.5

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

[tex]11411=\frac{4}{3} \pi r^{3}[/tex]

[tex]r^{3}=3(\frac{11411}{3})[/tex]

[tex]r^{3}=11411[/tex]

∛r³ = ∛11411

r = 22.5134076467

22.5134076467 rounded to the nearest tenth is 22.5

Answer:

its 14

Step-by-step explanation:

Gỉaỉ pt
2x^2×(2x^2+3)=2-x^2 ai giải giúp vs

Answers

2x²×(2x²+3)=2-x²

[tex]x = \frac{1}{2} , - \frac{1}{2} ,i \sqrt{2} , - i \sqrt{2} [/tex]

y=5px+5x2+p2 differential equation​

Answers

Answer:

Step-by-step explanation:

y=5px+5x2+p2

y=10p2x2p

the sum of three consecutive even number is 27​

Answers

even is impossible but 3 consecutive numbers is 8,9,10

GIVING OUT BRAINLIEST HELP ME PLEASE !! PLS 10 PTS

Answers

Answer:

x2+y2-12x24y+36=36.

2

+

y

2

12

x

+

18

y

=

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x^2-12x+36) + (y^2-24y+144-144) = 0

(X-6)^2 + (y-12)^2=144

Other Questions
calculate:An elcetric lamp is rated 240V and 40W. What is the cost of running the lamp for 62 hours if the elctricity authorities charges #2.50k per KWH Gender based violence in the areas 4.2. While there are people who protest to get their rights back alatge number of large people might join protests for completely different reasons Cmically discuss THREE negative reasons why some people on protestations A circle P is circumscribed about a regular hexagon ABCDEFArcs AB, BC, CD, DE, EF, FA are all equalSelect one:a. Falseb. True This is a 30-60-90 triangle. What is the measure of x? which choices are equivalent to the expressions below ? Check all that apply 5 5 Which region represents the solution to the given system of inequalities? A light hollow tube of 2.00 cm diameter and 1.0 m length is filled with tiny beads of different density. The resulting density distribution is linear, with the left end having a density of 1.6 g/cm^3, and the right end having a density of 6.3 g/cm^3. How far from the left end will be the center of mass? (give answer in cm). y-5 = -3 (x+2) in standard form Is each statement true for parallelogram DEFG? Drag each statement into the correct box.DF=EGEF=DG DEG FGE what is the subject and predicate of the sentence? Fear and worry cause trouble and make people unhappy. += 1Which ellipse has a major axis that is vertical?A (x + 1)2 (y + 12)22068 3x2 + 7y2 - 21 = 0 An ellipse with foci (0, 15) and (0, -15) and co-vertices (4,0).and (-4, 0)An ellipse with vertices (0, 4) and (30, 4) and co-vertices (15, 3) and (15,5) Before you started applying for college, a job recruiter offered you a full-time cashier position at a department store, earning an after-tax salary of $21,000 per year. However, you turn down this offer and attend your first year of college. The additional monetary cost of college to you, including tuition, supplies, and additional housing expenses, is $32,000. You decide to go to college, probably because:______.A. You value a year of college at $22,000.B. You value a year id college of $34,000.C. You value a year of college less than $34,000.D. You value a year of college at more than $56,000. The image shows two siblings with their grandparents. Which best explains why the siblings look more like each other and less like their grandparents?The siblings are more closely related to each other than they are to their grandparents. Each sibling is more closely related to the grandparents than to the other sibling. The grandparents do not have any shared characteristics in common with the siblings. The grandparents do not have any shared characteristics with one another. What role does the chorus serve in general? What function does the chorus play in Sophocless Antigone? P, Q & R form a right-angled triangle.R, S & P lie on a straight line.PS = SQ and SQR = 36.Work out RPQ the slope of the line below is -5/7 write a point slope equation of the line using the coordinates of the labeled point (6,2) You just inherited a trust that will pay you $100,000 per year in perpetuity. However, the first payment will not occur for exactly five more years. Assuming a 10% annual interest rate, what is the value of this trust? Which early empires observed and noted human and animal behaviors? What is the sample space for the suits of a standard 52-card deck of cards? Based in the most recent data available, what percentage of people who are eligible to vote are currentlyregistered to vote? (NOTE: Provide your abiswer in numeric, percentage form and round up to the nearesttenth, i.e. 60.46, you would indicate, 60.5%) (2 points)