The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 144 residents whose mean number of pounds of trash generated per person per week was 34.5 pounds and the standard deviation was 7.9 pounds. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a

Answers

Answer 1

Answer:

32.966 ; 36.034)

Step-by-step explanation:

Given :

Sample size , n = 144

Mean, x = 34.5

Standard deviation = 7.9

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

Zcritical at 98% = 2.33

Margin of Error = 2.33 * 7.9/√144 = 1.534

Lower boundary = 34.5 - 1.534 = 32.966

Upper boundary = 34.5 + 1.534 = 36.034

(32.966 ; 36.034)


Related Questions

please help will give brainliest

Answers

Answer:

B

Step-by-step explanation:

What type of symmetry’s are shown?

Answers

Answer:

18o rotational symetry  

Step-by-step explanation:

P(A and B)=P(A)•P(B) is used when two events are used when two events are

Answers

Answer:

Independent.

Step-by-step explanation:

Independent events:

Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Thus, P(A and B)=P(A)•P(B) is used when two events are independent.

A cab company charges a flat fee of $4 for a new passenger. it then charges $2.35 per mile until until the destination is reached

1- 4m+ 2.35=total cost
2- 4m-2.35=total cost
3- 2.35-4m= total cost
4- 2.35m+4=total cost

PLEASE I NEED ANSWERS!!

Answers

Answer:

number 2 is your answer for your problem

Hi plz help, if you can ill mark you 5 starz! :)

Answers

Answer:

b and 288

Step-by-step explanation:

ywwwwwwwwwwww

Write the number 9.9 x 10-5 in standard form.

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It’s going to be 94 if it works let me know!

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Solve the given system of equations 4x+5y=10 -x-8=3y

Answers

Answer:

[tex]4x + 5y = 10 - - - (a) \\ - x - 8 = 3y \\ - x - 3y = 8 \\ x + 3y = - 8 - - - (b) \\ 4 \times (b) - (a) : \\ = > 0x + 7y = - 42 \\ y = - 6 \\ x - 21 = - 8 \\ x = 13 \\ { \boxed{x = 13}} \\ { \boxed{y = - 6}}[/tex]

Answer:(10,-6)

Step-by-step explanation:

https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%20%5C%20+%20%5C%205y%20&=&%2010%20%5C%5C%20-4x%20%5C%20-%20%5C%2012y%20&=&%2032%5C%5C%20%5Chline%200%20%5C%20-%20%5C%207y%20&=&%2042%5C%5C%20y%20&=&%20-6%20%5Cend%7Barray%7D

https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%5C%20+%20%5C%205y%20&=&10%20%5C%5C%204x%5C%20+%20%5C%205(-6)%20&=&10%20%5C%5C%204x%5C%20-%20%5C%2030%20&=&10%20%5C%5C%204x%20&=&%2040%20%5C%5C%20x%20&=&%2010%20%5Cend%7Barray%7D

Which is an equivalent scale factor of Mr. Barrow's height to the height of the power pole?
A. 162:18
B. 6:54
C. 18:162
D. 54:6

Answers

9514 1404 393

Answer:

  C. 18:162

Step-by-step explanation:

Both B and C are the same scale factor, and both correctly express the ratio of the shorter height to the longer one.

The ratio of choice C is directly obtained from the figure, so is probably the best choice.

Rewrite the following logarithmic expression as an exponential expression

Answers

Answer:

it should be the same answer....?

Step-by-step explanation:

Two similar trapezoids have areas 225 and 400. If the height of the smaller trapezoid is 12, find the height of the larger trapezoid.

Answers

Answer:

Step-by-step explanation:

5(k+2)-3(k+2) combine to make simpiler

Answers

Answer:

2k + 4

Step-by-step explanation:

David,

Start by performing the indicated multiplication:

5(k+2)-3(k+2) becomes 5k + 10 - 3k - 6.

Next, combine like terms:  5k - 3k + 10 - 6 becomes 2k + 4

This 2k + 4 is the desired simpler result.

Which of the following plots has exactly 2 clusters and
1 outlier

Answers

The plot that best fits into that description would be “A (top left graph)”

The ratio of softballs to teams is 26:2. How many softballs would 8 teams have?

Answers

Answer:

104 softballs

Step-by-step explanation:

26 x 4 = 104

In the triangle ABC shown below, DE is parallel to BC. Find the length of DB.
20
10
D
E
х
B
15
с

Answers

Answer:

i think it's 10 because if DE is 10 so BD is the same think it's 10

A triangle on the coordinate plane has vertices (-8,3), (3,9), and (9,3). What is the area, in square units, of the
triangle?
Please help

Answers

Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 387 drivers and find that 298 claim to always buckle up. Construct a 84% confidence interval for the population proportion that claim to always buckle up.

Answers

Answer:

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 387 drivers and find that 298 claim to always buckle up.

This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]

84% confidence level

So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

A gumball machine has various colors of gumballs. There is a 10% chance that the next
gumball from the machine is red and 0.8 chance it is orange.
Is the next gumball more likely to be red or orange? Explain your reasoning.

Answers

Answer:

It is red

Step-by-step explanation:

Gabriel multiplied a number by 5 instead of 3. The answer that he got was
12 more than the correct answer. What was the original number?

Answers

Answer:6

Step-by-step explanation:

The original number that was multiply by 5 instead of 3 is 6.

What is the orignal number?

The equation that can be used to represent the informatioin in the question is:

5x - 3x = 12

Where x is the original number

In order to determine the value of x, take the following steps

Combine similar terms: 2x = 12

Divide both sides by 2

x = 6

To learn more about multiplication, please check: https://brainly.com/question/3385014

What are the solutions to the quadratic equation x2-16=0

Answers

Answer:

x = -4, 4

Step-by-step explanation:

Hi there!

[tex]x^2-16=0[/tex]

Rewrite 16:

[tex]x^2-4^2=0[/tex]

The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:

[tex](x+4)(x-4)=0[/tex]

The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:

[tex]x+4=0\\x=-4[/tex]

[tex]x-4=0\\x=4[/tex]

Therefore, the solutions are -4 and 4.

I hope this helps!

pls answer pls pls hurry

Answers

Answer: This can not be answered unless you choose a bigger photo.

Step-by-step explanation:

Sorry

Please show steps on how to solve
log7 -2b-9=-6

Answers

Answer: b= - -log10(7)+3/2

Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)

so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)

Simplify -2b= -log10(7)+3

Divide both sides by -2  -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!

what is the vertex of y=ax^2+c

Answers

9514 1404 393

Answer:

  (0, c)

Step-by-step explanation:

Compare the given equation to the vertex form equation ...

  y = a(x -h)^2 +k . . . .  quadratic with vertex (h, k)

You have ...

  y = ax^2 +c

Matching these forms, we see that h=0, and k=c. Then the vertex is ...

  (h, k) = (0, c)

Tienes $20 para gastar en la tarifa del taxi. El viaje cuesta
$5 más $2.50 por kilómetro.
Escribe una desigualdad para determinar la distancia
en kilómetros, d, que podrías recorrer por $20.
¿Cuál es la distancia máxima, en kilómetros, que
puedes recorrer por $20?
kilómetros.

Answers

Answer:

6 kilometers serian15 mas 5

Fraccion decimal de -8,6

Answers

Answer:

− 1.  ¯3

Step-by-step explanation:

Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5

A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5

Answers

Answer:

[tex]f(x) = 2x + 5[/tex]

[tex]g(x) = (x - 6)^2[/tex]

Step-by-step explanation:

Given

(a) to (d)

Required

Which will give:

[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]

Equate the expression in bracket to g(x)

[tex]g(x) = (x - 6)^2[/tex]

Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]

[tex]f(x) = 2x + 5[/tex]

1.
a. Find the lengths of the unlabeled sides.

Answers

Answer:

The first one-6.324 (This number actually goes on forever), The second one-10

Step-by-step explanation:

1- (6*6)+(2*2), 36+4, 40, 40 unsquared=6.324

2- (8*8)+(6*6), 64+36, 100, 100 unsquared=10

a serving of crackers has 1.5 grams of fat. How many grams of fat are in 3.75 servings

Answers

Answer:

5.625

Step-by-step explanation:

You just have to multiply 1.5 by 3.75 which is 5.625.

So there are 5.625 grams of fat in 3.75 servings.

5.625 grams of fat are in 3.75 servings.

You just have to multiply 1.5 by 3.75 which is 5.625.

So there are 5.625 grams of fat in 3.75 servings.

What is a Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Learn more about the unitary method here https://brainly.com/question/24587372

#SPJ2

A rectangular prism has a length of 4 feet, a width of 8 feet and a height of 5 feet. What is the volume of the prism

Answers

160! Sorry if it’s not right

Can someone please help answer?

Answers

It would be 8x8

Hope this helped :)

i know the answer but i need a thorough explanation on how to do this. pls answer the questions i have for brainliest thank you

Answers

Answer:

i think because it's powered by 4

(27x^3)^4/3 = 27^(4/3) * (x^3)^(4/3) =
(3^3)^(4/3) * (x^3)^(4/3) =
3^(3*4/3) * x^(3*4/3) =
3^4 * x^4 =
81*x^4
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