Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 391 drivers and find that 319 claim to always buckle up. Construct a 85% confidence interval for the population proportion that claim to always buckle up.

Answers

Answer 1

Answer:

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 391 drivers and find that 319 claim to always buckle up.

This means that [tex]n = 391, \pi = \frac{319}{391} = 0.8159[/tex]

85% confidence level

So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 + 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.8441[/tex]

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).


Related Questions

What is 25% of 60? I need this answer right away

Answers

Answer:

15

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

60÷25=2.4

The coordinates of the vertices of triangles OPQ are O(0,0) P(4,0) and Q(2,-4). Triangles OPQ is dilated with center O and scale factor 3/2. Sketch the dilation. What quadrants contain the image of triangle OPQ? PLEASE HELP ME

Answers

Answer:

you have to do the directions they gave you, draw the coordinates

Step-by-step explanation:

Question 5 of 5 0 3 4 5 6 7 8 9 10 Which of the following could be the number shown on the number line? O A A. V20 OB. √24 C. 27 D. 26​

Answers

Answer:

hi may u send a pic?

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

With every number starting with 2 count the number line up it doesn't past 5 or on 5 so it's not 5. It's past 4 so whats your answer?

Decide if the following is a true or false statement - explain how you know

1.5 + (-1.5) is equal to zero

Answers

Answer:

yes it's zero when measured from -1.5 and +1.5 to zero the distance is zero

cual es la longitud del alambre que sostiene un poste de 8 m de altura , si dicho alambre esta amarrado al suelo a 4m del poste​

Answers

Answer:

La longitud del alambre que sostiene el poste es 8.94 metros.

Step-by-step explanation:

La longitud del alambre se puede calcular usando Pitágoras:

[tex] L^{2} = P^{2} + B^{2} [/tex]                      

En donde:

L: es la longitud del alambre =?

P: es la altura del poste = 8 m

B: es la distancia del alambre al poste = 4 m

Entonces, la longitud del alambre es:

[tex] L = \sqrt{P^{2} + B^{2}} = \sqrt{(8 m)^{2} + (4 m)^{2}} = 8.94 m [/tex]  

Por lo tanto, la longitud del alambre que sostiene el poste es 8.94 metros.

                               

Espero que te sea de utilidad!

Whats the slope to this.

Giving brainliest. Correct answer

Answers

Answer:

m=-25

Step-by-step explanation:

m=Δh/Δt

(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)

m=(4500-5000)/(20-0)

m=-500/20

m=-25

M = -25 is the correct answer

Cuanto es la rais cuadrada del rectángulo entre dos y multiplicada por 1837​

Answers

14,696

buen dia

(lo siento)

Name the following segment or point.
Given:
L, M, N are midpoints
Р
M
A
R
N
B
altitude to AC
segment BT
O segment AS
segment BL

Answers

Answer:

should be segment BT, that's what i put and it was right. hope this helps

Step-by-step explanation:

The altitude to the line segment AC is line segment BL.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, L, M, N are midpoints.

We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.

By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.

learn more about the altitude of a triangle here :

https://brainly.com/question/17020135

#SPJ5

Allentown, Bakersfield, and Cowville are not in a line. If it is 57 miles in aline from Allentown to Bakersfield and 35 miles from Bakersfield to Cowville , how far is it from Allentown to Cowville?

Answers

Answer:

27

Step-by-step explanation:

322415154551

Answer:

92

Step-by-step explanation:

Just simply add 57 to 35.

57+35=92

(–8x + 7y) + 9y + (–8x)

Answers

The answer is -16x+16y
The answer is -16x + 16y

What is the value of z in the equation 2(4z − 3 − 1) = 166 − 46?
I know that 166-46 is 120 but i get stuck on the distributive property part. I end up with 8z-2. Also I will give brainliest.

Answers

Answer:

2(4z − 3 − 1) = 166 − 46

8z − 6 − 2 = 120

8z − 8 = 120

8z = 128

z = 16

pls give the brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have to multiply 2(4z - 3 - 1 ). so 2 * 4z = 8z. so then you would do 2 * (-3) = -6. then you would do the same with -1. 2* (-1) = -2.

now you have to put it back in equation form. 8z - 6 - 2 = 166 - 46. now you have to combine like terms. -6-2 = -8. 166 - 46 = 120. and then put it back into equation form. 8z - 8 = 120. then you add 8 to 120. 120+8 = 128. now to find z all you have to do is divide 128/8 = 16

z = 16  

an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.​

Answers

Answer:

Height, h = 21 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.

Substituting into the equation, we have;

[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]

[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]

[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]

[tex] 8792 = 418.93*h [/tex]

[tex] Height, h = \frac {8792}{418.93}[/tex]

Height, h = 20.99 ≈ 21 mm.

Therefore, the height of the cone is 21 millimeters.

(05.07 MC)
The net of a square pyramid is shown below
3 inches
2 inches
3 inches
2 inches
What is the surface area of the solid?
16 square inches
24 square inches
28 square inches
Previous Question
Question 1 (Answered)

Answers

Answer:

16 2x3 divided by 2 x4=12 + 2x2=16 I think hopefully this helps :)

The area of a circle is 641 ft2. What is the circumference, in feet? Express your
answer in terms of

Answers

Step-by-step explanation:

Given

Area of a circle (A) = 641 ft²

Circumference (C) = ?

We know

πr² = 641

r² = 641 / 3.142

r² = 204

r = 14.28 ft

Now

Circumference

= 2πr

= 2 * 3.14 * 14.28

= 89.68 ft

Hope it will help :)

Answer:

The circumference is 89.68 ft.

Josefina fue al banco para cambiar un cheque de $5000. La cajera le entregó 39
billetes, unos eran de $100 y otros de $200; ¿Cuántos billetes de $100 y cuantos de
$200 recibió Josefina?

Answers

Respuesta: 28 billetes de 100 y 11 billetes de 200

Explicación paso a paso:

X=39-y

200(39-y)+100y=5000

7800-200x+100y=5000

-100y=2800

Y=2800/100

Y=28 billetes de 100

X=39-28

X=11 billetes de 200

A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A. y=4x
B. y=4x+1/4
C. y=1/4x+4
D. y=1/4x

Answers

Answer:

i think it is a but i am not shore. Hope this helps

Step-by-step explanation:

How do you do the last couple of questions?

Answers

Answer:

SANAOL COMPUTER

Step-by-step explanation:

SORRY DI KO PO ALAM EHH

each of two equal angles is twice the third angle. find the angle of triangle.​

Answers

Answer:

45 degrees each and 90 degrees

A newborn turtle has a shell with a 1-inch diameter. The shell keeps a similar shape as the turtle grows. After a year, the shell is 3 inches in diameter. Note: you do not need to know the shape of the shell to complete this question.

1. How many times greater is the volume of the turtle's shell after a year than it was when it was born?

2. How many times greater is the surface area of the turtle's shell after a year than it was when it was born?

Answers

Answer:

I think the volume would be 9 times greater, and the surface area would be 3 times greater

Step-by-step explanation:

Answer:

the volume would be 9 times greater

the surface area would be 3 times greater

Step-by-step explanation:

Because if the shell grows from 1 inch diameter to 3 inch diameter, the surface area will increase 3x more. And the volume I assume is 3x greater because of the height is presumably 3 inches as well.

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!

Instructions

Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.

Complete the following. Show all work for calculations.

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 6 inches

Width: 2 and a half inches

Height: 12 inches (1 foot)

Describe the shape of the cross section when the box is cut parallel to the base.





What is the surface area of the box?





What is the surface area of the box if it is scaled up by a factor of 10?





What is the volume of the box?







What is the volume of the box if it is scaled down by a factor of 1/10?

Answers

Answer:

I chose a box of cereal-------> rectangular prism

see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions

20 cm x 8 cm

Part 3)

What is the surface area of the box?

surface area=2*area of the base+perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box=[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5)

What is the volume of the box?

volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6)

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Step-by-step explanation:

Answer:

541/2 square

Step-by-step explanation:

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is 541/2 square

21 divided by 4,857 with remainder

Answers

The answer is 231 R6

please help and good night​

Answers

Answer:

(7) n = ⁴/₃

(8) x = -5

(9) d = ³/₂

(10) v = -20

Step-by-step explanation:

(7) [tex]n-\frac{8}{9} = \frac{4}{9}[/tex]

[tex]n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}[/tex]

(8)

[tex]\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5[/tex]

(9)

[tex]\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}[/tex]

(10)

[tex]-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20[/tex]

Carlos, Margaret, and James are playing a board game with a spinner. The spinner goes from 1 to 6. They
start by spinning to see who will go first. (Highest number will go first.)
1. First, Carlos spins a 3. How likely do you think it is that Margaret will get a higher number?

Answers

The answer would be 1/2. The probability of Margaret getting any number on the spinner would be 1/6. Since 3 doesn’t count, that means that Margaret can get the numbers 4, 5, and 6. Because of that you would do 1/6 * 3 which gets you 1/2.

Probability that Margaret will get a higher number than Carlos is 3/2.

What is probability?

Probability is the measure of the likelihood of an event to occur.

Formula of probability

P(E) = number of favorable outcomes/ total number of outcomes

Where, P(E) is the probability of an event.

According to the question we have,

A spinner goes from 1 to 6.

sample space = {1, 2, 3, 4, 5, 6}

Total number of outcomes = 6

Also, Carlos spins 3.

So, the numbers which required to win the game by Margaret are 4, 5 ,6 (greater than 3).

Total number of favorable outcomes = 3

Therefore,

The probability that Margaret will get a higher number than Carlos = [tex]\frac{3}{2}[/tex]

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

a ball has a volume of 2 cubic inches .use the fact that l inch is equal to 2.54 cm to convert this volume to cubic centimeters​

Answers

Answer:

32.77 cm³

Step-by-step explanation:

From the question given above, the following data were obtained:

Volume of ball (in in³) = 2 in³

Volume of ball (in cm³) =.?

From the question given above, we were told that:

1 in = 2.54 cm

Therefore,

1 in³ = 2.54³ cm³

Finally, we shall convert 2 in³ to cm³. This can be obtained as follow:

1 in³ = 2.54³ cm³

Therefore,

2 in³ = 2 in³ × 2.54³ cm³ / 1 in³

2 in³ = 32.77 cm³

Thus, 2 in³ is equivalent to 32.77 cm³

Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 40 Multiplying the first equation by will create opposite x terms.

Answers

Answer: 5

Step-by-step explanation: edge 2021

You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.

The first equation should be multiplied by the constant 5

How to choose what quantity to multiply the first equation?

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as  [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

Using above method for getting the needed constant

The system of equation we've got is

[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]

Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]

The resultant system of equation we will get is:

[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]

Thus,

The first equation should be multiplied by the constant 5

Learn more about system of linear equations here:

https://brainly.com/question/13722693

PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEE WILL GIVE BRAINLIST

2. Hank used a semicircle, a rectangle, and a triangle to form the following composite figure. What is its area in square centimeters? Use 3.14 to approximate . Show your work.

Answers

Answer:

Step-by-step explanation:

The area of a circle is 3.14r^2

The area of the triangle is bh/2

The area of the rectangle is wh

A=3.14(5^2)/2+8(10)/2+5(20)

A=3.14(25)/2+40+100

A=179.25 cm^2

Answer:

Step-by-step explanation:

Area of rectangle = 5 × 20 = 100 cm²

Area of triangle = 0.5 × 10 × 8 = 40 cm²

Are of semicircle = 0.5 × area of circle = 0.5 × πr² = 0.5 × 25π = 12.5π cm²

Total area = 100+40+ 12.5π ≈ 179.25 cm²

The graphs below have the same shape. What is the equation of the blue graph? 

Answers

Answer:

c

Step-by-step explanation:

Please answer for instant brainliest.

Answers

Answer:

5 T-shirts

or

35 T-shirts

Step-by-step explanation:

Alright so this question is a bit tricky but I will explain to you the steps. What you want to do is take every possible answer and multiply it by $15 (The price of an adult t shirt) and see if the answer you get can be added onto with the price of small t shirts ($10).

In other words you need a multiple of $10 as your answer so you can add $10 onto to that number until you get your total of $2,375.

Lets start with 185 t-shirts.

If we do 185 shirts x $15 per shirt we get $2775

That is way above the total of $2,375 so we know that this cant be the answer.

Next we can do 110 t-shirts.

If we do 110 shirts x $15 this time we get $1650.

Now while this is less than the total this is not a multiple of 10.

To prove this lets take the total amount of money earned ($2,375) and subtract this $1650 from it to see how much in youth shirts they sold.

$2,375 - $1650 = $725

Now we can divide $725 by the rest of the $10 youth shirts and you will see we get 72.5 which is not a whole number so it cant be answer. Since you cant sell someone 25% of a shirt or they probably would be upset.

Moving onto 35 t shirts lets take the same steps.

35 x $15 (price of adult t-shirt)

We then get $525 from this. Lets subtract this total again from the grand total earnings they made from selling both shirts ($2,375)

$2,375 - $525 = $1850.

Now this is a multiple of 10. Meaning you can add 10 into it go get that number and you wont have more or less than it. It will be spot on.

So we can do $1850 divided by $10 to find the total amount of youth shirts sold. We get 185 from this, which is a possible answer.

Lets do the last one.

5 t shirts multiplied by $15

We get $75 from this and now lets subtract again from the grand total.

$2,375 - $75 = $2,300

Now this would work too which is what kind of stumps me but we will go with it. Going off this either 5 t-shirts or 35 t-shirts would work as an answer cause you can have an even number of youth shirts sold with either answer. So I could have done something wrong but I believe based off of this either would be correct but I could be missing something. Someone correct me if I made a mistake.

Anyways I hope this helps :)\

EDIT :

I see what I did wrong here and failed to take into account the total of 220 t-shirts sold. But I believe this can help solve the last 2 answers.

Regina have 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go into each bag?

Answers

Answer:

(3×25)÷5=15

hope it helps you

please mark me as brainlist

Answer:

15

Step-by-step explanation:

first, you add all the marbles 25 x 3 = 75 then you divide by 5 which you get 15

4x-y=10
y=2
Pls show work will give Brainlyest

Answers

Answer:

give y is equal to 2

substituting the value of y, we get

4x -y = 10

4x=10 +2

4x=12

x=12÷4

therefore x =3

Other Questions
Assuming 84.0% efficiency for the conversion of electrical power by the motor, what current must the 13.0-V batteries of a 716 kg electric car be able to supply to climb a 3.00 x 102 m high hill in 2.00 min at a constant 22.0 m/s speed while exerting 7.00 x 102 N of force to overcome air resistance and friction When do populations increase? ____________ reference is used when you want to use the same calculation across multiple rows or columns. explain exocrine system?? The golden-cheeked warbler and the black-throated green warbler look nearly identical to each other. What type of information could be used to determine if the birds are separate species? Select all that apply. The birds breed with each other where their territories overlap. The birds breed with each other where their territories overlap. The birds show differences in mating songs and behaviors. The birds show differences in mating songs and behaviors. The birds do not breed with each other where their territories overlap. The birds do not breed with each other where their territories overlap. The birds compete for food and nesting sites. The birds compete for food and nesting sites. What are three examples of protists?A.amoebaB.parameciumC.euglenaD.fungi Hola me pueden ayudar por favor con mi tarea les doy estrellitas por favor es para ahora de ingls can someone please help me, i have to turn this in soon. 4x - (-6) whats the answer Please help with ALEKS >-< .................................. Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain? Plzzzz help meeeeeeeeeeeeeeeeeeeeeeeeeeee 2 to the power of 6 times 9x if x=12 What is the external conflict? What is the internal conflict?The external is Leamass struggle against Mundt; the internal conflict in his weariness if death.The external is Leamass struggle against Control; the internal conflict is his weariness if Mundt. what conversion factor is needed to calculate the number of atoms in 8.6 moles of Aluminum?A. 1 mole/ 6.02x10^23 atmos B. 6.02X10^23 atoms/ 1 moleC. 1 mole/ 26.98zgD. 26.982g/ 1 mole (1) Describe your family kinship and descent system using terms introduced in Lesson 4's, Family and Marriage. (2) What term is used to describe the family you live with, (3) who can you marry, (4) what is the marriage practice of exchange called, and (5) give the term used to describe where a newly wed couple lives is 8.2 and 5.15 proportional The weights of 5 girls are 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds. Nina finds measures of center and measures of variation of this data. Match the descriptions to the type of measure. 4 description of meteor showers How many grams of carbon is needed to react with hydrogen gas to produce 59.8 grams of acetylene (C2H2)?