At one vehicle inspection station, 13 of 52 trucks and 11 of 88 cars failed the emissions test. assuming these vehicles were representative of the cars and trucks in that area, what is the standard error of the difference in the percentages of all cars and trucks that are not in compliance with air quality regulations?

Answers

Answer 1

The standard error (SE) of the sampling distribution difference between two proportions is given by:

[tex]SE=\sqrt{p(1-p)\left(\frac{1}{n_1}+\frac{1}{n_2}\right)}[/tex]

where p is the pooled sample proportion, [tex]n_1[/tex] is the size of sample 1, and [tex]n_2[/tex] is the size of sample 2.

[tex]p= \frac{p_1n_1+p_2n_2}{n_1+n_2} [/tex]

Given that at one vehicle inspection station, 13 of 52 trucks and 11 of 88 cars failed the emissions test.

[tex]p_1= \frac{13}{52} =0.25 \\ \\ p_2= \frac{11}{88} =0.125 \\ \\ n_1=52 \\ \\ n_2=88 \\ \\ p= \frac{0.25(52)+0.125(88)}{52+88} \\ \\ = \frac{13+11}{140} = \frac{24}{140} =0.1714[/tex]

[tex]SE=\sqrt{0.1714(1-0.1714)\left(\frac{1}{52}+\frac{1}{88}\right)} \\ \\ = \sqrt{0.1714(0.8286)(0.0192+0.0114)} \\ \\ = \sqrt{0.1714(0.8386)(0.0306)} = \sqrt{0.0044} \\ \\ =0.0663[/tex]

Answer 2

The two given proportions are
[tex]p_1=\frac{13}{52}=0.25[/tex] and [tex]p_2=\frac{11}{88}=0.125[tex].

The standard error is given by the formula
[tex]SE=\sqrt{\frac{p_1\left(1-p_1\right)}{n_1}+\frac{p_2\left(1-p_2\right)}{n_2}}[/tex]

Substituting the given values, we have
[tex]SE=\sqrt{\frac{0.25\left(1-0.25\right)}{52}+\frac{0.125\left(1-0.125\right)}{88}=0.0696}[/tex]

Therefore, the standard error is 0.0696.

Related Questions

What is the quotient of -19/2 divided by 38/ 7

Answers

This is the correct answer

Which of the following is the domain of the function G(F(x))?

F(x) = x + 4, G(y) =

G(F(x)) =

A. All numbers less than or equal to 4
B. All numbers less than or equal to -4
C. All numbers greater than or equal to -4
D. All numbers greater than or equal to 4

Answers

Answer: option C. all numbers greater than or equal to -4.

Justification:

1) G(F(x)) means apply first the rule F(x) and then apply the rule G(y) to the outcome of (Fx).

2) Mathematically that is:

G(F(x) = G (x + 4) = [tex] \sqrt{x+4} [/tex]

3) The the domain is all the numbers for which the expression inside the root are not negative, i.e x + 4 ≥ 0

⇒ x ≥ - 4

That is the option C. all number greater than or equal to - 4.

A line passes through the (1, -6) and has a slope of 5. write an equation for this line

Answers

The point-slope form of the equation for a line with slope m through point (h, k) is ...
y = m(x -h) +k

Your line's equation can be written as
y = 5(x -1) -6

This can be simplified to slope-intercept form
y = 5x -11
or standard form
5x -y = 11

Algebraically determine if the relation y=10x is symmetric with respect to the x-axis, y-axis, the origin or has no symmetry
A.) y-axis
B.)no symmetry
C.)the origin
D.)x-axis

Answers

Linear functions are odd degree functions. These type of functions do not have any symmetry with respect to the either axis. However, the function y=mx+b where m = ±1 b = 0 does have symmetry with respect to the origin.

hope this helped

hey can you please help me posted picture of question

Answers

The correct answer is option A

( 2 - 8i ) + ( 5 - i )

Real part is added in real part and the complex part is added in complex part

= 2 +5 - 8i - i

= 7 - 9i

So, the answer is 7 - 9i

Can someone please help me with this problem. I need help solving a and b

Answers

(a) A generic quadratic expression is often written
ax² +bx +c
Then the "a" and "b" in the expression -b/(2a) represent the coefficients of the squared term and the linear term, respectively. In your quadratic expression, the variable is "t", not "x", but that makes no difference. You have
a = -16
b = 96
Then the time (t) at the maximum height is
t = -b/(2a)
t = -96/(2(-16)) = 96/32 = 3

The ball is highest 3 seconds after being fired.

(b) Evaluating h for t=3, we get
h = -16*3² +96*3 +11
h = -144 +288 +11
h = 155

The maximum height of the ball is 155 ft.

please help with 23 and show how to work it out

Answers

For this problem, you best start with calculating how many miles they drive in 1 hour, by dividing 192 by 4.5, which equals 42.666. You then multiply this by 3 to get the distance after 3 hours.

To prevent rounding errors, you can put this all in one equation:

[tex]\frac{192}{4.5} \times {3} =128[/tex]

So answer C looks like the right one.

Find the feet of c and d

Answers

The lower triangle with sides 15 ft , 20 ft and c is a right triangle. The hypotenuse measures c.
Use the Pythagorean theorem to find c.

15^2 + 20^2 = c^2

225 + 400 = c^2

c^2 = 625

c = 25

Side c measures 25 ft.

The two triangles are similar, so the lengths of corresponding sides are proportional.

120/20 = d/15

6 = d/15

d = 90

Length d is 90 ft.

PLEASE PLEASE PLEASE HELP ME WITH ALGEBRA 1 PLEASE!?!?!?!?!!!?!?!?!?!?! I WILL GIVE LOTS OF POINTS AND BRAINLEST PLEEEEEEEEEEEEEEEEASE!!?!?!?!?!?!!?!?!?!?

What are the different ways you can solve a system of linear equations in two variables? What is the process for solving a system using each method?

Answers

Im actually learning this myself atm, The three methods most commonly used to solve systems of equation are substitution, elimination and augmented matrices. Substitution is a method of solving systems of equations by removing all but one of the variables in one of the equations and then solving that equation. Elimination is another way to solve systems of equations by rewriting one of the equations in terms of only one variable. The elimination method achieves this by adding or subtracting equations from each other in order to cancel out one of the variables. Augmented matrices can also be used to solve systems of equations. The augmented matrix consists of rows for each equation, columns for each variable, and an augmented column that contains the constant term on the other side of the equation. For example, the augmented matrix for the system of equations 2x + y = 4, 2x - y = 0 is [[2 1], [2 -1]...[4, 0]], Good luck!

Hey mate

It is
________________________________
[tex]2x + y = 4, 2x - y = 0 is [[2 1], [2 -1] [4, 0][/tex]

Hope I helped have a good day

Evaluate Cot0 if sin0= square root of 6/5

Answers

To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6

Hey can you please help me posted picture of question

Answers

You multiply the options in each section:

Shirts x skirts x shoes
7 x 6 x 4
=168

So, there are 168 combinations- Letter answer B

The answer to the question is b

a man owned 75 shares of stock worth $50 each the corporation declared a dividend of 8% payable in stock how many shares did he then own

Answers

Final answer:

After receiving an 8% stock dividend on his initial 75 shares, the man will own a total of 81 shares.

Explanation:

The question is asking how many shares the man will own after a corporation where he holds stock declared a dividend payable in stock. The man initially owned 75 shares of stock, each worth $50, and the corporation declared an 8% dividend. To find out how many additional shares he receives as a dividend, we calculate 8% of his 75 shares:

Additional shares = 8% of 75 = 0.08 × 75 = 6 shares.

The man will then own his original 75 shares plus the 6 additional shares, for a total of:

Total shares owned = 75 + 6 = 81 shares.

Please help Thankyou

Answers

Answer: B) (-∞, -1)U(-1, ∞)
----
The domain of a function is all the x values that return real y values.

If you look at your function, notice that x is in the denominator of [tex] \frac{1}{x+1} + 5[/tex]. Remember the denominator of a fraction can never equal zero because dividing by 0 isn't possible. That means x ≠ -1. All other x values work if you plug them in, so your answer must be the one that doesn't include x = -1.

As you look through your answer choices, remember that a bracket [ or ] means that the number is included and a parenthesis ( or ) means that the number is not included. The U means "union," which means both domains to the left and right of the U are included.

Your only choices that have "-1" are B and D. However, in D, there are closed brackets, and we want the "-1" to not be included. That means B is the only correct answer.

f(x) = (1/x+1) + 5 ;

in order to make the function undefined, x must not be equal to -1 which makes the function 1/0 + 5.

It's either B or D

-4 log8 x - 2 = 6
Round to the nearest ten - thousandth

Answers

-4 log8 x - 2 = 6

log8 x - 2 = 6/-4 = -3/2

log(x-2)/log8 = -3/2 ; log8 = 0.903089987
log(x-2)/0.903089987= -3/2
log(x-2) = -1.35463498

10 ^ -1.35463498 = x-2

x = 2.044194174

There is a game at the carnival that costs $20 to play. There are two outcomes: either you win $100 , or you lose. To play you roll a die. If a six appears you win; all other rolls you lose. if 1000 people played this game during one afternoon what would you expect to be the outcome?

A. the game earns $3330

B. the game earns $1660

C. the game loses $3330

D. the game loses $1660

Answers

Outcome on winning = $100 - $20 = $80
Outcome on losing = $20

Probability of winning = 1/6
Probability of losing = 5/6

Expected Value = 1/6 (80) +5/6(-20) = -3.333

This shows on average from each game, the game earns $ 3.333.

So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330

So, the answer to this question is option A

Correct answer is Option(A) . The game earns $3330

Carnival Game Expected Outcome

To determine the expected outcome, we first need to calculate the expected value of playing this game once.

The cost to play is $20. If a six is rolled, the player wins $100; otherwise, they lose their $20.

Calculations:

Probability of rolling a six = 1/6Probability of not rolling a six (1, 2, 3, 4, or 5) = 5/6

Expected value (EV) for one game:

EV = (1/6 x ($100 - $20)) + (5/6 x (-$20))EV = (1/6 x $80) + (5/6 x -$20)EV = $80/6 - $100/6EV = -$20/6EV ≈ -$3.33

This means that on average, each player loses approximately $3.33 per game.

Outcome for 1000 Players

If 1000 people play the game, the total expected loss for the players will be:

Total Expected Loss = 1000 x EVTotal Expected Loss ≈ 1000 x (-$3.33) = -$3330

Therefore, the game earns approximately $3330.

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply.

Answers

Putting into diagram the information provided. The triangle formed is a right triangle. (Find Attached).

We are given the length of the ladder and the distance of the base of the ladder from the wall. With that we can solve for the height of the triangle as well as the angle of inclination wrt to the floor and foot of the ladder or the wall to the tip of the ladder.

Pythagorean's theorem provides for the following formula

Square of hypotenuse (longest side of the triangle) equals the sum of the squares of the two other sides for right triangles.

Thus
Length of ladder being the hypotenuse we have below equation
Hypotenuse = 12
Distance from the base to the foot of ladder = 1 foot/feet
height = ?

12² = 1² + h²
h = √144-1
h=√143

Solving for inclination with respect to wall to tip of the ladder we can use rule of sine for right triangle

sineФ = opposite side / hypotenuse
sineФ = 1/12 = 0.083333
Ф = sin^-1 or inverse sine of 0.083333
Ф = 4.78017268 degrees

Note : If the distance between the base is not interpreted correctly, just change the value and plugin to the equation to get the result.

Answer:

A,B,D,E

Step-by-step explanation:

did it on edge

hello can you please help me posted picture of question

Answers

Hello fellow user!

Here is something that may help you. ^.^

P(GG)=(8/12)(7/11)

P(GG)=56/132

P(GG)=14/33

The answer is .B! Please contact me for any further questions. Cheerio and have a lovely day.

8 girls +4 boys = 12 children total

picking a girl first = 8/12 = 2/3

picking a second girl = 7/11

picking both: 2/3 x 7/11 = 14/33

Answer is B

What is the area, in cm2, of the circle shown above? Round your answer to the nearest tenth.

Answers

Where is the circle?

(a) find the slope m of the tangent to the curve y = 5 + 5x2 − 2x3 at the point where x =
a. m = (b) find equations of the tangent lines at the points (1, 8) and (2, 9). y(x) = (at the point (1, 8)) y(x) = (at the point (2, 9))

Answers

a) The slope at (1, 8) is 4.
The slope at (2, 9) is -4.
These values are computed numerically by the graphing calculator and shown in the column f'(x) in the graphic.

The derivative is y' = 10x -6x². At x=1, y' = 10-6 = 4; at x=2, y' = 20-24 = -4.

b) In point-slope form, the equations of the tangent lines are shown in the graphic.

The slope of the tangent will be "[tex]10a-6a^2[/tex]". The equation at point (1, 8) is "[tex]y = 4x+4[/tex]" and at point (2,9) is "[tex]y = -4x+17[/tex]".

Given equation is:

[tex]y = 5+5x^2-2x^3[/tex]

(a)

The slope of the tangent to the curve point where [tex]x = a[/tex] is:

→ [tex]\frac{dy}{dx} = m = 10x-6x^2[/tex]

→ [tex]= 10a-6a^2[/tex]

(b)

The equation of tangent at point (1,8) will be:

→ Slope, [tex]m = 10-6[/tex]

[tex]= 4[/tex]

→ [tex]y-8=4(x-1)[/tex]

[tex]y = 4x-4+8[/tex]

[tex]y = 4x+4[/tex]

and,

The equation of tangent at point (2,9) will be:

→ Slope, [tex]m = 10\times 2-6\times 2^2[/tex]

[tex]= 20-24[/tex]

[tex]= -4[/tex]

→ [tex]y-9=-4(x-2)[/tex]

[tex]y-9=-4x+8[/tex]

[tex]y = -4x+17[/tex]

Thus the above answer is right.

Learn more about tangent here:

https://brainly.com/question/10462284

Determine if the function is an even function, an odd function or neither. y=-5x^(2)-2x+6

Answers

By definition we have:
A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
For y = -5x ^ (2) -2x + 6 we have:
f (-x) = - 5 (-x) ^ (2) -2 (-x) +6
f (-x) = - 5x ^ (2) + 2x + 6
Answer:
the function is neither

Answer:

Step-by-step explanation:

Which statements is true

A: all rectangles are squares
B: some trapezoids are parallelogram
C: all square are rhombues
D: no rhombuses are rectangles

Answers

All squares are rectangles
all squares are rhombuses

B and D are True Statements.

Hope this Helped!

;D
Brainliest??

is 0.003km greater than, less than, or equal to 3 m

Answers

There are 1000 meters in a kilometer. 0.003 kilometers is equal to 3 meters

Assuming boys and girls are equally likely, find the probability of a couple having a baby boy boy when their fourth fourth child is born, given that the first three three children were all boys all boys.

Answers

I am assuming the gender of each child is independent of the other.

Then the information about the first three children is irrelevant.

So then the probability of fourth child being boy is 1/2, since boys and girls are equally likely.

Hope this helps.

The ratio of the length to the width of a map is 8 to 5. The map is exactly 32 inches in length. What is the width of the map? A. 13 inches B. 20 inches C. 24 inches D. 32 inches

Answers

Ratio of length to width of a map = 8:5

Length of the map = 32 inches
Let the width of the map = x inches

So,

Length : Width = 8 : 5
32 : x= 8: 5

x = 5/8 * 32

x = 20 inches

So, the width of the map is 20 inches

Answer:

B. 20 inches

Step-by-step explanation:

Remember that when dealing with ratios or unit rates you just have to do simple rules of three to calcuate what they are asking you, in this case you have that in the map for every 8 units in the length there will be 5 in the width, so how many will there be when the map is 32 inches in length?

[tex]\frac{8}{5}= \frac{32}{x}\\x=\frac{32*5}{8}\\ x=20[/tex]

So the width of a map with a length of 32 inches and a ratio of 8:5 will be 20 inches.

Refer to narrative 14-1. a house is selling for $150,000. a deposit of $20,000 was made when the sales contract was signed. the down payment is 30% and the balance will be financed with a 25-year mortgage at 11% and 4 discount points. if the sellers are responsible for the broker's commission (6% of the purchase price); $1,300 in other closing costs; and the existing mortgage, with a balance of $40,000; what proceeds will they receive on the sale of the property?

Answers

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Michael bought a new soccer Jersey that was $24.99. after taxes the total cost was $28.99. What is the percent if increase

Answers

Tax = $28.99 - $24.99 = $4.00

Tax Percentage = 4/24.99 x 100 = 16%

Answer: 16%

34 + 4 ⋅ 5 = ____
PLEASE HELP ASAP FOR BRAINLIEST!!!!!

Answers

54 will be your answer

3x4 = 12 + 4 = 16 16 x 5=80
your answer is 80 hope this helped.

your drawer contains 6 black socks and 8 white socks. what is the probability that both socks are black

Answers

[tex] \displaystyle
|\Omega|=\binom{14}{2}=\dfrac{14!}{2!12!}=\dfrac{13\cdot14}{2}=91\\
|A|=\binom{6}{2}=\dfrac{6!}{2!4!}=\dfrac{5\cdot6}{2}=15\\\\
P(A)=\dfrac{15}{91}\approx16\% [/tex]

The diameter of a circle is 8 inches.What is the area?
A.8 inches
B.16 inches
C.32 inches
D.64 inches

Answers

The required correct answer is not listed among the given options. The area of the circle is approximately 50.24 square inches.

The area of a circle can be calculated using the formula A = πr^2, where A is the area and r is the radius of the circle. Since the given information provides the diameter (twice the radius), we need to first find the radius by dividing the diameter by 2.

Given: Diameter = 8 inches

Radius = Diameter / 2 = 8 inches / 2 = 4 inches

Now we can calculate the area using the formula:

= πr² = π * (4 inches)²
≈ 3.14 * 16 square inches
≈ 50.24 square inches

Therefore, the correct answer is not listed among the given options. The area of the circle is approximately 50.24 square inches.

Learn more about area of the circle here:

https://brainly.com/question/10043105

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Final answer:

The area of a circle with an 8-inch diameter is calculated using the formula A = πr². The correct area is around 50.27 square inches, not one of the provided options.

Explanation:

The question asks for the area of a circle with a diameter of 8 inches. To find the area, we use the formula A = πr², where π is approximately 3.14159, and r is the radius of the circle. Since the diameter is 8 inches, the radius (r) is half of that, which is 4 inches.

To calculate the area:

Divide the diameter by 2 to find the radius: 8 inches / 2 = 4 inches.Square the radius: 4 inches ² = 16 square inches.Multiply by π (pi): π × 16 square inches ≈ 50.26548 square inches.

The area of the circle is approximately 50.27 square inches, which means none of the given options A, B, C, or D is correct.

You save $15,000.00. You place one-third in a savings account earning a 4.6% APR compounded annually. You then invest one quarter of the remaining balance in a 3-year U.S. Treasury bond earning a 5.2% APR compounded annually and the rest in a stock plan. Your stock plan increases in value 3% the first year, decreases 8% in value the second year, and increases 6% in value the third year. What is the balance of the savings account by the end of the third year?

$4,618.81

$2,910.63

$5,722.23

$3,910.02

Answers

Scenario:
1. You deposited 1/3 of 15,000 or 5,000 in a savings account that earns 4.6% compounded annually. If 5,000 is already in the savings account, there is still 10,000 left.
2. One-fourth(1/4) of 10,000 or 2,500 is invested in 3-year US Treasury bond earning 5.2% compounded annually. If 2,500 is invested, there is still 7,500 left.
3. The 7,500 was invested in the stock market.

For the savings account
The amount of money deposited in the savings account after three years will be
[tex]F_2=P\left(1+r\right)^t=5,000\left(1+0.046\right)^3=5,722.23[/tex]

Therefore, the balance of the savings account after three years is $5,722.23.

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Marbury v. madison (1803) is famous for establishing the principle of Which pair of organisms would you expect to have more in common? two organisms from the same phylum two organisms from the same kingdom? What explains the development of cities and towns during the middle ages? (Medieval Europe) Give at least 3 sentences. Which of the following is a run-on sentence? A. The game was tied at halftime; each coach gave his team a pep-talk. B. The game will be called if the storm continues, the weather is dangerous. C. The players continue to work on both hitting and fielding, allowing them to improve both skillsets. D. While the rain was drenching at times, the fans were dedicated and refused to leave. difference between batesian and mullerian mimicry simplify the imaginary number (square root symbol) -8 When determining whether a chemical reaction has taken place, you observe and look for several indicators. Which would be considered an indication that a chemical reaction or chemical change has taken place?A)Solid melts.B)Heat is given off.C)Substance dissolvesD)Substance changes shape. Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 200 cubic centimeters of liquid. the length of the box must be 4 times as large as the width. When asked "what caused your divorce?" women most commonly gave which response? Which distance measurement is the most precise? A). 20.1 yardsB). 7 yardsC). 15.98 yards D). 19 yards Which is the simplified form of the expression (2^-2) (3^4)^-3 x (2^-3) (3^2) ^2?A: 1/ 2^36 3^48B: 1/ 3^8C: 3^8D:2^36 3^48 Which type of solute is present in aqueous solution predominantly as hydrated ions rather than as molecules? Please help!!! Mark is learning to snowboard. The club charges $10 per hour for snowboard lessons and $40 for the lift ticket and a snowboard rental. Which value represents the rate of change for this scenario? What's the probability a number is odd given that it's an integer between 0 and 11? Why do you think American artists were drawn to Realism and Modernism in the early twentieth century? what is the goal of restoration ecology Which forces tend to slow down an object How does Wiglaf show his own honor 99 POINTS AND BRAINLIEST FOR BEST ANSWER.Write a letter of complaint. Follow the rules for a formal letter, and use the full-block style. The complaint may be about anything you wish (such as malfunctioning equipment, poor building maintenance, or disruptive noises from a nearby business).You can base your letter on a true experience, or you can make up all the details you need.AND IT HAS TO BE PLAGARISM FREE!!!! Tara is a huge fan of comedian and actor will ferrell. she follows him on twitter and facebook, watches all his movies, and has even written him letters. tara has a/an ________ relationship with him.