When 332 college students are randomly selected and surveyed, it is found that 113 own a car. find a 99% confidence interval for the true proportion of all college students who own a car?

Answers

Answer 1

Given:
n = 332, sample size
p = 113/332 = 0.3404, sample proportion
99% confidence interval

The confidence interval for the population is calculated from
[tex]p \pm z^{*} \sqrt{ \frac{p(1-p)}{n} } [/tex]
where z* = 2.58 for the 99% confidence level (from tables)..

[tex]2.58 \sqrt{ \frac{0.3404(1-0.3404)}{332} } =0.0671[/tex]
Therefore the 99% confidence interval is
(0.3404 - 0.0671, 0.3404 + 0.0671) = (0.2733, 0.4075)

Answer:
The 99% confidence interval is (0.273, 0.408) or (27%, 41%).
That is, between 27% and 41% of the students own cars.

Related Questions

The measure of arc XYZ is 296 degrees. What is the measure of angle XZW, the tangent-chord angle?

A: 296
B:148
C:116
D:206

Answers

Let O be the center of the circle.

Reflex angle XOZ = 296°
Obtuse angle XOZ = 360° - 296° = 64°
Triangle XOZ is an isosceles triangle.

∴ Angle OZX = (180° - 64°) / 2 = 58°
(Base angle of an isosceles triangle)

Angle OZW = 90°
(Tangent to circumference of circle)

Angle XZW = 90° + 58° = 148°

Answer is B.

Factor 5k 2 - 35k 3.

A. 5k2(1 - 7k)

B. 5k3(1 - 7k)

C. 5k(1 - 7k2)

Answers

Answer:

The correct answer is A) 5k^2(1 - 7k)

Step-by-step explanation:

To factor, take out the greatest common multiple. Each term has a factor of 5 that can be taken out as a constant and k^2 as a variable. Take both of these out and divide each term by that expression.

5k^2(1 - 7k)

its A) 5k^2(1 - 7k) :)

Another name for a dummy variable is a binary variable.a.Trueb.False

Answers

Another name for a dummy variable is a binary variable
a.True

Abdul put gas in his car. He paid $18.32 for 8 gallons of gas. What is the unit price?

Answers

Unit price is price per gallon.
18.32/8=2.29
Final answer: $2.29 per gallon

$2.29 a gallon

18.32/8 = 2.29, which represents dollars per gallon.

Which of the following steps could be used as a shortcut method to multiply 12 by 50

Answers

Multiply 12 by 100, then divide that result by 2

I don't think you have attached the options, but I'll show you a shortcut method to solve this anyway (which may or may not be in the multiple choice answers):

1. Compute 12*5
2. Add a zero at the end of the product

Another way (which is slightly longer):

1. Split 50 into 10*5
2. Multiply 12*5 to get 60
3. Multiply 60*10 to get 600

Write equations for the vertical and horizontal lines passing through the point (8, 7).

Answers

Let A(8,7)
that means x = 8 and y = 7.
The vertical line (// to y-axis) passing through A, will have always x = 8,
Then the equation of the vertical line is x = 8

The Horizontal line (// to x-axis) passing through A, will have always y = 7,
Then the equation of the Horizontal line is y = 7

HELPPPPPPPPPPP Why is the sum of a rational number and an irrational number rational? A. Because the product is always a non- terminating, non- repeating decimal. B. Because the product is always a fraction C. Because the product is always a negative number D. Because the product is always a repeating or a terminating decimal

Answers

The only answer that makes sense is D, as it confirms that there is at least 1 rational number.

I belive the answer is a

Name all sets of numbers to which each real number belongs

Answers

Real Number
Whole Numbers:0,1,2,3,4,5,6,7,8,9,10,etc.
Counting Numbers:1,2,3,4,5,6,7,8,etc.
Natural Numbers:which is whole or counting numbers depends on the topic
Integers:-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,etc.

Brett wants to paint the exterior of his two-story home but does not know what length ladder he should buy. The top of his roof is 29 ft above ground level, and (for safety reasons) the ladder should not be at more than an 80° angle from the ground. How long, rounded up to the nearest foot, is the shortest ladder that Brett should buy?

Answers

sin80˚= 29/x; x= 29.44
so after rounding is 30 ft

Answer:

Brett should buy a ladder of minimum 30 ft length.

Step-by-step explanation:

Brett wants to paint his exterior of a double story home.

Height of the roof of the second story from the ground = 29 feet

Maximum angle between the ground and the ladder should be = 80°

Now from the figure,

sin 80° = [tex]\frac{AB}{AC}[/tex]

0.9848 = [tex]\frac{29}{AC}[/tex]

AC = [tex]\frac{29}{0.9848}[/tex]

AC = 29.45

≈ 30 ft

Therefore, Brett should buy a ladder of minimum 30 ft length.

The volume of a fish tank is 20 cubic feet. If the density is 0.2 fish over feet cubed, how many fish are in the tank? (1 point)

Answers

density of fish = number of fish / volume

0.2 = n / 20

n = 20*0.2 = 4

there are 4 fish in the tank.

Answer : The number of fish present in the tank are, 4 fish.

Step-by-step explanation :

As we are given that the volume of a fish tank is 20 cubic feet and density is 0.2 fish over feet cubed.

Now we have to determine the number of fish in the tank.

As, in 1 cubic feet tank the number of fish present in tank = 0.2 fish

So, in 20 cubic feet tank the number of fish present in tank = 20 × 0.2 fish

= 4 fish

Therefore, the number of fish present in the tank are, 4 fish.

Write the complex number in polar form. express the argument in degrees. 4i
a. 4(cos 0° + i sin 0°)
b. 4(cos 270° + i sin 270°)
c. 4(cos 90° + i sin 90°)
d. 4(cos 180° + i sin 180°)

Answers

In analytical geometry, there are two types of roots: real roots and complex roots. Imaginary roots are those with the term 'i'. These are complex numbers that can be found on the number line, thus they are called imaginary. The term 'i' is equal to the expression √(-1). So when you solve these equations, just treat the complex numbers as is they are variables.

The only way to solve these is to test each choice such that its final answer would be 4i. These are important equivalents to know:

sin 0° = 0 cos 0° =1
sin 90° =1 cos 90° =0
sin 180° =0 cos 180° = -1
sin 270° = -1 cos 270° = 0

Using these values, let's simplify each choise.

A. 4(1 + i (0)) = 4
B. 4(0 + i (-1)) = -4i
C. 4(0 + i (1)) = 4i
D. 4((-1) + i (0)) = -4

The answer is C.

Final answer:

The complex number 4i in polar form is 4(cos 90° + i sin 90°), which matches choice (c). The magnitude is 4, and the argument is 90° since 4i lies on the positive imaginary axis.

Explanation:

To convert the complex number 4i to polar form and express the argument in degrees, we should consider the general polar form of a complex number which is r(cos θ + i sin θ), where r is the magnitude (modulus) and θ is the argument of the complex number. The complex number 4i has a real part of 0 and an imaginary part of 4. Therefore, its magnitude is 4 and it lies on the positive imaginary axis. In the complex plane, this corresponds to an angle of 90° or 270° from the positive real axis. Since it is on the positive imaginary axis, the correct angle is 90°.

The correct polar form of the complex number 4i is 4(cos 90° + i sin 90°), which corresponds to choice (c).

What is the value of y in the product of powers below?

Answers

You're trying to find the value of y that would result in 8^-2. When you multiply terms with the same base, you can add the exponents. 3+-5=-2 and -2-(-2) equals 0, so therefore y is equal to 0.

when multiplying you add the powers

3 +-5 = -2 so the power for y = 0

A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of balls. Assume the relationship is linear. Which equation models the relationship between the volume, x, and the number of balls y ?

A).y=0.25x+10
B).0.25x
C).y=4x
D).y=4x+60

Answers

Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
[tex]m= \frac{60-40}{15-10} [/tex] and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x

Consider the following function: f(x)= 25-x^2/x^2-4x-5 Which of the following are correct? Check all of the boxes that apply.

-m not equal to n
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.

Answers

Answer: B, C, and D

Step-by-step explanation:

Just did it and got the answers wrong so these are the correct ones

Answer:

B, C, D

Step-by-step explanation:

-m is equal to n

-There is only one vertical asymptote.

-y = –1 is the horizontal asymptote.

Which of the following could not be a value of n? side lengths of 9 and 13
a. 7
b.10
c. 13
d. 22

Answers

The correct answer here would be D. And that is because, in a triangle, the sum of 2 of the sides has to be greater than the third side for all sides. If we add 22 and 13 we get 35, and 35 is greater than 9, for sure. But if we add 13 and 9 we get 22 which is not greater than the third side length of 22; it would be collinear with the side length and it has to be greater than the side length.

What is the lateral area of the drawing?

A. 425 km2
B. 1021 km2
C. 200 km2
D. 114 km2

Answers

Each side is an isosceles trapezoid, so ED=2 since you would need to add 2 to each end of the bottom line to get the top line. Now use Pythagorean Theorem to get ED^2+AD^2=AE^2. Plug in your numbers to solve for AE. This is the height of each trapezoid. Then use your formula for the area of a trapezoid, (B1+B2)h/2, to get the area of each side, then multiply by 4 to get the lateral area since there are 4 sides. Remember lateral area is just the sides, then surface area is when you include the area of the two bases.

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given 4 trapeziums with parallel sides :

[tex]a=8\ km\\b=4\ km[/tex]

For height 'h'. we will consider the right angled triangle with

Perpendicular = 4.3 km and base = 2 km ,

We need to find the hypotenuse:

[tex]H^2=B^2+P^2\\\\H^2=2^2+4.3^2\\\\H^2=4+18.49\\\\H=\sqrt{22.49}\\\\H=4.742\ km[/tex]

Now, Lateral surface area of the figure = 4 × Area of trapezium

[tex]4\times \frac{1}{2}\times (8+4)\times 4.742\\\\=113.81\ km^2\\\\=114\ km^2[/tex]

Hence, Option 'D' is correct.

The expression 0.01E+0.003E^2 gives the thickness in millimeters (mm) of the insulation needed for a high voltage cable. E is the number of kilovolts carried by the cable. What thickness of insulation material is needed for 7 kilovolt cable?

Answers

To determine the thickness of the insulation, we need a function that would relate the thickness of the insulation to the kilovolt carried by the cable since it is the only value that is given here. From the problem statement, we are given the function which is T = 0.01E + 0.003E^2. To determine the thickness, we simply substitute the value of the kilovolt to the function and solve for the value of T. We do as follows:

T = 0.01E + 0.003E^2
T = 0.01(7) + 0.003(7)^2
T = 0.217 mm

Therefore, the thickness of the insulation needed would be 0.217 mm.

Answer: 0.217 mm

Step-by-step explanation:

If AB is the midsegment, find the value of x. Show your work.

Answers

Mid segment means half the segment, so: 3x-1=34/2=17, 3x =18, x =6. Hope it helps

3x-1=34/2

=17

3x =18, x =6

The area of the trapezoid is 40 square units.

What is the height of the trapezoid? __ Units

Answers

The answer is 5. The formula for area of trapezoid is A=a+b/2*h
When you input 40 for A and 6 for a and 10 for b, then you should get 5
hope this helps:))

we know that

The area of a trapezoid is equal to

[tex]A=\frac{1}{2}(b1+b2)h[/tex]

where

b1 and b2 are the parallel bases of the trapezoid

h is the height of the trapezoid

In this problem we have

[tex]b1=6\ units\\b2=10\ units\\A=40\ units^{2}[/tex]

substitute in the formula

[tex]40=\frac{1}{2}(6+10)h[/tex]

Solve for h

[tex]40*2=16h[/tex]

[tex]h=80/16=5\ units[/tex]

therefore

the answer is

The height of the trapezoid is [tex]5\ units[/tex]

Choose one of the factors of x3 + 343

Answers

Hello there!

The factorization for x³ + 343 is (x + 7)(x² - 7x + 49)

I hope that helps!

A driver's education course compared 1,500 students who had not taken the course with 1,850 students who had. Of those students who did not take the driver's education course, 1,150 passed the written driver's exam the first time compared with 1,440 of the students who did take the course. A significance test was conducted to determine whether there is evidence that the students who took the driver's education course were more likely to pass the written driver's exam the first time. What is the p-value for an appropriate hypothesis test?

1
0.7895
0.4209
0.2105
0
(I chose .4209 after using a 2-PropZTest. I need some help checking. An explanation if I'm wrong would be great)

Answers

I believe the answer is 0.2105 and the error you made of saying 0.4209 was because you did a 2-PropZTest when this question seems to be asking for one proportion (not two). When the p value is greater than or less, use one-proportion, if it is "!=" not equal than it is two-proportion. Please let me know if this was correct.

Answer:

0.2105

Step-by-step explanation:

Its correct

What is the solution to the equation 1 over 2 n = 8?

n = 4
n = 6
n = 10
n = 16

Answers

The answer is: [D]: " n = 16 " .______________________________________________
Explanation:
______________________________________________
(1/2) n = 8 ;

Multiply EACH side of the equation by "2" ; to "cancel out" the "(1/2)" on the left-hand-side of the equation; and to isolate "n" on one side of the equation; and to solve for "n" ;
______________________________________________
2* (1/2) n = 2 * 8 ;
______________________________________________
to get:
______________________________________________
n = 16 ; which is: Answer choice: [D] .
______________________________________________

Is the number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed a discrete random variable, continuous random variable, or not a random variable?

Answers

The number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed is an example of a discrete random variable. A discrete random variable has a probability distribution can give any possible value and the probability of that value in any given data presentation such as graph, table or formula. They are called discrete random variables because they show a specific number of finite or countable infinite values after an event has happened. In here, the number of free throw attempts wit or without missing the first shot can be counted thus making it a discrete random variable.

Answer:

Step-by-step explanation:

The scores for today’s math quiz are 75, 95, 60, 75, 95, and 80. Explain the steps needed to create a histogram for the data

Answers

Answer: Determine what should go on each axis. Grades will go on the x-axis, and the number of students will be plotted on the y axis. Find the number of different scores and range. Choose an interval - say, 10 percent. Find the frequency within each interval. Choose a scale - say, - 0-3. Draw bars the height of the frequency for each interval.

The histogram is defined as the graphical representation of the data points in the given specified range.

The histogram is similar to a bar graph. In the histogram, the data is grouped in logical ranges.

The steps involved in the making of the histogram are:

The vertical axis represents the y-axis. On the y-axis, the score or marks of the quiz will be placed. The interval between the scores is 5. The x-axis is the horizontal axis, on which the relative grades will be put on. The interval, let be 10 percent for the grades. Now, draw the bars to a respective height of the frequency of marks on the y-axis.

Therefore, the histogram is similar to the bar graph, in which the quantitative analysis of the data is done.

To know more about the histogram, refer to the following link:

https://brainly.com/question/17145899

Which of the following are binomials. (more than one answer)
A. x^11
B. 8x
C. x^2+3
D. x^4+x^2+1
E. 5/7y^3+5y^2+y
F. 6x^2+1/2y^2

Answers

C. x^2+3 and D. x^4+x^2+1

its C) x^2+3 and F) 6x^2+1/2y^2 on apex

Which expression is right!!!!!! help me!!!!! Help!!!!

Answers

area of a triangle is 1/2 x base x height

c would be the base and x is the height

so 1/2cx is the expression needed

Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.

Answers

Using product rule;

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

The sum of a certain number and 3 times the number is 40. what is the number?

Answers

3n + n = 40
4n = 40
n = 40/4
n = 10 <==

The value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The sum of a certain number and 3 times the number is 40

Let the number is x

From the question, we can frame a linear equation in one variable

3x + x = 40

Adding like terms:

4x = 40

Divide by 4 into both sides

x = 40/4

x = 10

Thus, the value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ6

Laura is now trying to come up with a number where three less than 8 times the number is equal to half of 16 times the umber after it was increased by 1

Answers

8n-3=1/2(16n+1)
is the equation i come up with which would have no solutions.

if the measure of angle 1 is (3x-4)° and the meadure of angle 2 is (4x+10)° what is the measure of angle 2 in degrees?

Answers

3x-4 + 4x+10 = 90
=>
7x + 6 = 90
=>
7x = 84 => x = 84/7 = 12

<2 = 4x + 10 = 4*12 + 10 = 48 + 10 = 58

The answer is: 58

Answer:

The measure of ∠ 2 in 58° .

Step-by-step explanation:

As given

if the measure of ∠ 1 is (3x-4)° and the measure of ∠ 2 is (4x+10)° .

As shown in the picture given in the question

90° + ∠1 + ∠2 = 180°

(By linear pair property)

Put the value of ∠1 and ∠2 in the above

90° + (3x -4)° + (4x+10)°= 180°

90 + 3x -4 + 4x + 10 = 180

7x + 6 = 180 - 90

7x + 6 = 90

7x = 90 -6

7x = 84

[tex]x = \frac{84}{7}[/tex]

x = 12

Put the value of x in the (4x+10)° .

∠2 = (4 × 12 + 10)°

∠2 = 58°

Therefore the measure of ∠ 2 in 58° .

Other Questions

describe one examples of poaching that is prevalent in south Africa Individuals who are not useful or are harmful to the whole are eliminated. This excerpt above is from a German textbook used during World War II. Which of the following accurately describes the authors attitude or belief system?A.The authors believe that individuals are more important than the entire nation.B.The authors believe that the good of the entire nation outweighs the individual person.C.The authors believe that only useful, contributing individuals who support the good of the nation are valuable; all others should be eliminated.D.The authors believe that all individuals should be sacrificed for the good of the nation. Which statement best compares the rate of change of the two functions? which of the following describes an effect of the war that americans experienced on the home frontA. increased work apportunities B. increased availability of goods C. decreased patriotims D. decreased goverment involvement How did personal liberty laws increase tensions between the north and the south over the fugitive slave act? What significant event happened in Memphis Tennessee in April 1968? In may, the price of a pair of jeans was 250% of its wholesale cost. in june, the price was reduced by 25%. after an additional 50% discount in july, the jeans cost $\$22.50$. what is the number of dollars in the wholesale cost of the jeans? People at ________ levels in an organization draw on business intelligence to make decisions related to marketing plans, product development, and departmental budgets. which president pursued a policy of vietnamization We wondered about WHATEVER BECAME OF THAT LITTLE PUPPY. The bolded(caps) words are what kind of clause? adjective clause noun clause adverb clause In middle school, carlos was involved in many school plays and musicals. being part of the drama crowd was important for carlos in what way? 5x+14-2x=9-(4x+2) can someone help what element causes mars to appear red Socially or economically disadvantaged research subjects are Create a list of the odd numbers between 1 and n (include 1 as well as n -- if it's odd-- in the list). Associate the list with the variable odds. Governor rick perrys record of failures and achievements as chief executive of the state show that governors do matter. In 1878, eadweard muybridge photographed a galloping horse and discovered that: Processing the stress related to leadership action is recommended as a routine approach to self-____ in leadership positions. When a person suffers a heart attack due to alcoholic cardiomyopathy, it is especially likely to be fatal because:? 1. Energy is expended when a force moves matter across a distance. True/False2. The conservation of mass-energy and the first law of thermodynamics are synonymous. True/False3. Temperature and thermal energy are synonymous terms. True/False4. On the Kelvin scale, temperatures are expressed as positive values only. True/False5. The amount of heat transfer required to change the temperature of one gram of water one degree Celsius is also known as a calorie. True/False Steam Workshop Downloader