A researcher examined a random sample of 300 homes in a small city and found that 47 had solar panels installed on their roofs. Use the sample to construct a 99% confidence interval for the proportion of all homes in the city that have solar panels installed on their roofs. What is the sample proportion? **Round to two decimal places

Answers

Answer 1

The confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]

How to calculate the confidence interval for proportion?

The formula for calculating the confidence interval for proportion is expressed as:

[tex]p \pm z\sqrt{p(1-p)/n[/tex]

p is the proportion

z is the z score at 99% interval

n is the sample size

Given the following parameters

[tex]p=\frac{47}{300} = 0.16\\z=2.576\\n=300[/tex]

Substitute the values

[tex]CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545[/tex]

Hence the confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]

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Related Questions

Can somebody please help me? I have dyscaluca and don't understand this

Answers

Answer:

man

Step-by-step explanation:

im sorry...you'll get it soon i swear

solve the equation 5.5g+9=2.5g+27
a. find the value of g.
b. explain how you can check that the value you found for g is correct. if your check does not work, does that your result is incorrect?

Answers

I will clarify you
5.5g+9=2.5g+27
Or, 5.5g-2.5g= 27-9
Or, 3g= 18
Or, g= 18/3
Or, g= 6



Hope it helped you.. I have no doubt that it is incorrect.

A spinner is divided into 8 identical sectors and labeled 1 through 8.

How many spins are expected for a multiple of 3 to be spun 6 times?

Select from the drop-down menu to correctly complete the sentence.

The spinner is expected to have to spin approximately
Choose...
times for a multiple of 3 to be spun 6 times.


12
16
24
48

Answers

Answer:

The answer is 12

Step-by-step explanation:

1-8(6)

The multiples of 3 would be 3 and 6.

3 and 6 are found 12 times within those 6 spins

Option 12 is the correct answer.

What is permutation?

The permutation refers to the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

For the given situation,

The spinner has 8 identical sectors {1,2,3,4,5,6,7,8}.

The multiples of three from the given sectors are 3 and 6.

Multiples of 3 in the sector = 2

The spinner is expected to have to spin the multiples of 3 to be spun 6 times = [tex]2[/tex] × [tex]6[/tex]

⇒ [tex]12[/tex]

Hence we can conclude that option 12 is the correct answer.

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An explicit rule for a sequence tells how to find an as a function of blank the first term,A1, the next term an+1,

Answers

Answer:

The correct answer is "the term number, n."

Step-by-step explanation:

Answer:

Step-by-step explanation:

on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%

So what are the chances of getting a 100% effort out of someone who never tries than someone who does??

Answers

Answer:

someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort

Step-by-step explanation:

i hope this helps!!

help would be appreciated

Answers

Answer:

59

Step-by-step explanation:

VUW is an isoceles triangle, therefore VUW = VWU

tirangles total to 180 so 180 - 62 =118=2VUW

118 ÷2 = 59

If the hypotenuse of a 30°-60°-90° Triangle is 10√2, find the length of the other two sides.

Answers

Let us consider a 30°-60°-90°△ABC right angled at B in which ∠C = 30⁰ and ∠A = 60⁰ with hypotenuse AC = 10√2 units.

Solution:-

In △ABC,

[tex]\longrightarrow[/tex]sin ∠C = [tex]\sf \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\longrightarrow[/tex]sin ∠C = [tex]\sf \dfrac{AB}{AC}[/tex]

[tex]\longrightarrow[/tex]sin 30⁰ = [tex]\sf \dfrac{AB}{10\sqrt{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf \dfrac{1}{2}= \dfrac{AB}{10\sqrt{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf AB = \dfrac{10\sqrt{2}}{2}[/tex]

[tex]\longrightarrow[/tex][tex]\sf AB = 5\sqrt{2}\:units[/tex]

[tex]\\[/tex]

In △ABC,

[tex]\longrightarrow[/tex]cos ∠C = [tex]\sf \dfrac{Base}{Hypotenuse}[/tex]

[tex]\longrightarrow[/tex]cos ∠C = [tex]\sf \dfrac{BC}{AC}[/tex]

[tex]\longrightarrow[/tex]cos 30⁰ = [tex]\sf \dfrac{BC}{10\sqrt{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf \dfrac{\sqrt{3}}{2}= \dfrac{BC}{10\sqrt{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf BC = \dfrac{10\sqrt{2}\times \sqrt{3}}{2}[/tex]

[tex]\longrightarrow[/tex][tex]\sf BC = \dfrac{10\sqrt{2\times 3}}{2}[/tex]

[tex]\longrightarrow[/tex][tex]\sf BC = \dfrac{10\sqrt{6}}{2}[/tex]

[tex]\longrightarrow[/tex][tex]\sf BC = 5\sqrt{6}\: units[/tex]

Thus , the length of other two sides of triangles are 5√2 and 5√6 units.

what is -12 divided by 3

Answers

Answer:

-4

Step-by-step explanation:

if you divide a negative number by a positive number, you will get a negative number

Answer:

-4

Step-by-step explanation:

-(4×3)/3

by crossing both 3 out

-(4) remains

Work out m and c for the line:
y=6 - 2

Answers

Answer:

Step-by-step explanation:

y=Mx+c

M=6 c=-2

Franco has $1.95 in his pocket. His mom has three times as much in her pocket. How much money do Franco and his mom have in total?

$1.95
$5.85
$6.80
$7.80

Answers

Answer: $5.85

Step-by-step explanation:

Answer:

5.85

Step-by-step explanation:

since Franco's mok has THREE times as much in her pocket, that means we we multiple 1.95 by 3. $1.95x3=$5.85

1. Find the slope of a line
that passes through (3,-2)
and (7,5)

Answers

5+2/7-3
=7/4 is the slope

Answer:

m= [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{5--2}{7-3} \\m=\frac{5+2}{4}\\ m=\frac{7}{4}[/tex]

First, define what equation needs to be used. We need to use the slope formula to find the answer.

Next, we substitute the x and y values into their respective places.

Last, simplify the equation!

Use quadratic method :
6y^2 - 4y - 3=

Answers

Answer:

see explanation

Step-by-step explanation:

look at the photo

What is the area of this figure?
3 mi
7 mi
4 mi
2 mi
5 mi
12 mi
3 mi
2 mi
Write your answer using decimals, if
necessary.
square miles

Answers

Answer:

38.5

Step-by-step explanation:

I would give explanation but it's kind of hard

Graph the line that represents this equation: help please

Answers

Answer:

Here I graphed it for you.

Step-by-step explanation:

PLEASE HELP ASAP ITS FOR A TEST

If a server at a restaurant gets a 20% tip on a bill of $25, then what will be the amount of the tip?

Answers

Answer:

$5

Step-by-step explanation:

20% = .2

multiply 25 by .2 and you get 5 so $5 is the tip amount

What is the approximate volume of the tube? round to the nearest whole cubic centimeter. 1,005 cm3 1,340 cm3 3,351 cm3 4,021 cm3

Answers

The approximate volume of the cylinderical tube is 1005 cm³  round to the nearest whole cubic centimeter.

What is of volume of cylinder?

Volume of cylinder is the amount of quantity, which is obtained by the bylinder in the 3 dimensional space.

Volume of cylinder is the can be given as,

[tex]V=\pi r^2h[/tex]

Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift.

The diameter is 8 cm and the radius of a cylinder is half of its radius. Thus the radius of the cylinder is,

[tex]r=\dfrac{8}{2}\\r=4\rm\; cm[/tex]

Put the values in the above formula a,s

[tex]V=\pi (4)^2(20)\\V=320\pi\\V=1005.31\\V=\approx 1005\rm\;cm^3[/tex]

The approximate volume of the cylinderical tube is 1005 cm³  round to the nearest whole cubic centimeter.

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Find the height of the building to the nearest foot in the diagram below. Show work.

Answers

Answer:

height : 150 feet

Step-by-step explanation:

[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

using tan rule:

[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]

[tex]\hookrightarrow \sf b = tan(62)*80[/tex]

[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]

Answer:

[tex]\approx 150 \: ft[/tex]

Step-by-step explanation:

recall sohcahtoa

sin(x)=opposite/hypotenusecos(x)=adjacent/hypotenusetan(x)=opposite/adjacent

here,

The adjacent side is 80 ftx°=62°The opposite side is the height

To find:

The opposite side or the height

since we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,

So,

[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]

[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]

using calculator,we acquire

[tex] \implies \: h \approx 150 \: ft[/tex]

hence, the height of the building is approximately 150ft

Henry is solving the problems 475 x 3. His first step is shown below (400 x ___) + ( 70 x ___ ) + ( 5 x ___ ) What number should Henry write in each of the blanks

Answers

Answer:

(400 × 3 ) + (70 × 3) + (5 × 3)

pls help me with this​

Answers

Answer: A)72.8067226km/hr (final asnwer)
b) volume of a cube= a^3 (sides^3) =4.5^3= 91.125 cm^3 (final asnwer)

c) 1 day cost= $(35.9 +11.55 + 35) =$82.45
therefore for 5 days= $82.45 * (multiplied) by 5 = $412.25 (final asnwer)

Step-by-step explanation:

Answer:

(a)≈72.8 kilometer per hour

(b)91.125 cm^3

(c)272.25$

Step-by-step explanation:

(a)speed=mile/hour

=371mile/8.2hours

=371×1.609kilometers/8.2hours

≈72.8 kilometer per hour

(b)the vol: of cube= a^3 (a=side)

=(4.5)^3

=91.125cm^3

(c) for 5 days, (35.9×5)+(11.55×5)+35 ($35 is ofor one-off charge so there is no need to multiply with 5)

=272.25$

solve for x and round please

Answers

Answer:

9.6

Step-by-step explanation:

6.4/x = sin42

x = 6.4/sin42

x = 9.56

Question 1
Match each graph to the correct description of the number of solutions the system of equations has.

one solution

an infinite number of solutions

no solution

Answers

first graph - no solution
second graph - an infinite number of solutions
last one - one solution

A rectangular prism has a length of 14in, a height of 9in, and a width of 5in. What is its volume, in cubic in?

Answers

Answer:

630 inches³

Step-by-step explanation:

According to the question ,

length:- 14 inchwidth :- 5 inchheight :- 9 inch

we have to find the volume of rectangular prism

Volume of rectangular prism :- l × b × h

Putting the value ,

14 × 5 × 9 cubic inches

= 630 cubic inches

Given:-

[tex]\rightarrow[/tex] Length(l) of prism = 14in.

[tex]\rightarrow[/tex] Width(w) of prism = 5in.

[tex]\rightarrow[/tex] Height(h) of prism = 9in.

To Find:-

[tex]\rightarrow[/tex] Volume of prism.

Formula Used:-

[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{l×w×h}[/tex]

Solution:-

[tex]\rightarrow[/tex]Volume of prism = [tex]\sf{l×w×h}[/tex](putting the value of l, w and h from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:14×5×9}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{= \: 630 in^3}[/tex]

Therefore, volume of the given prism [tex]\sf{= \: 630 in^3.}[/tex]

________________________________

Hope it helps you:)

Apples cost $1.10 per pound. Darius bought x pounds of apples for a total cost of $2.75.

Answers

X= 2.5 2.75 divided by 1.10 =2.5

45 minutes before 10:35

Answers

Answer:

9:50

Step-by-step explanation:

Answer:

9:50

Step-by-step explanation:

Heres de answer

Solve 58 - 10x< 20 + 9x.
-
O A. x2
O B. Xs2
O c. xs-2
O D. x2-2

Answers

     I am not sure what you are asking by the options provided as the formatting has been messed up, but if you simplify the given equation you end up with:

x > 2

Step-by-step explanation:

Given

58 - 10x< 20 + 9x

Add 10x to both sides of the equatoin

58 < 20 + 19x

Subtract 20 from both sides of the equatoin

38 < 19x

2 < x

x > 2

Aiden and his two friends ordered a pizza with 12 slices. Together they ate 2/3 of the pizza. If they evenly divided what was left, how many slices would each of them receive

Answers

Answer:

they would get 1 piece each and would probably have to fight for the last one

Step-by-step explanation:

12 divided by 3 = 4

4x2=8

12-8=4

4 divided by 3 = 1 remainder 1

The number of slices would each of them receives will be 2 ²/₃ pieces.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Aiden and his two friends ordered a pizza with 12 slices. Together they ate 2/3 of the pizza.

Then the number of pieces eaten is calculated as,

⇒ 2/3 x 12

⇒ 8

If they are evenly divided. Then we have

⇒ 8 / 3

⇒ 2 ²/₃

The number of slices would each of them receives will be 2 ²/₃ pieces.

More about the Algebra link is given below.

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GIVING BRAINLIEST AND 30 POINTS TO BEST ANSWER!! REMEMBER, FOLLOW DIRECTIONS. YOU CAN DO IT! :D

Answers

Answer:

2 3 4 5 6 7 8 9 10

Step-by-step explanation:

even odd even odd even odd even odd even odd

What are the measures of center for a data set?

Answers

Mean, Median, and Mode

Mean - Add all the numbers then divide by the number of numbers you added.

Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)

Mode - The number that appears the most in a set of numbers.

They are called measures of center because they are statistics that describe the center of a set of data.

Find the equation of the line that is perpendicular to the line Y equals negative 4X -4 and passes through the point -2, -4. Write the equation in point slope form

Answers

hello!

======================================================

Perpendicular lines have slopes that are opposite reciprocals.

This means we take the slope, flop it over, and change its sign.

In this case, we have

[tex]\boxed{-4}[/tex]

First, flop it over:

[tex]\boxed{-\frac{1}{4}}[/tex]

Change its sign:

[tex]\boxed{\frac{1}{4}}[/tex]

Now, let's write the equation of the line in point-slope form:-

[tex]\bigstar\boxed{\pmb{y-y1=m(x-x1)}}\longleftarrow\sf{Point-Slope~Formula}[/tex]

Where

y₁ is the y-coordinate of the point that the line intersects

m is the slope of the line

x₁ is the x-coordinate of the point that the line intersects

In this case,

y₁ is equal to -4

m is equal to  [tex]\boxed{\frac{1}{4} }[/tex]

x₁ is equal to -2

Plug in the values:-

[tex]\bigstar{\boxed{y-(-4)=\frac{1}{4}(x-(-2)}[/tex]

Simplify:-

[tex]\longrightarrow\sf{y+4=\frac{1}{4} (x+2)[/tex]

and we're done!

===========================================================

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

In the parallelogram shown, find the measure of ∠A.

Answers

Answer: 40 degrees

Step-by-step explanation:

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