A first-aid cream contains amounts of the active ingredient (in mg) that vary Normally with unknown mean m and standard deviation s from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are 23 24 23 29 28 26 27 28 26 Based on these data, a 99% confidence interval for the population mean m has margin of error of ____ mg.

Answers

Answer 1

Answer:

2.5 mg

Step-by-step explanation:

Given the data:

23 24 23 29 28 26 27 28 26

The sample standard deviation, s

s = sqrt[Σ(x - mean)²] ÷ (n - 1)

Mean, m = ΣX / n

n = 9

Mean = 234 /9 = 26

Using a calculator :

s = 2.236

The margin of error, MOE

MOE = Tcritical * s/sqrt(n)

Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536

MOE = 3.35536 * 2.236/sqrt(9)

MOE = 3.35536 * 2.236/3

MOE = 3.35536 * 0.7453333

MOE = 2.50086

MOE = 2.5


Related Questions

- 4(x + 5) = 16 what does x equal?

Answers

Answer:x= 9

Step-by-step explanation:

-4(x+5) = 16

-4*x= -4x -4*5= -20

16 - -20= 36

-4x/-4= x 36/-4=9

The sum of three consecutive odd integers is -39. What is the largest integer? ​

Answers

Answer:

the sum of three consecutive odd number is less than 54.

Morre Math HARDDDDDDDD

Answers

Answer:

the person above is right it's 4.5 units

give them the crown

(02.01)Polygon ABCD slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees, what is the measure of angle A'?

A-75 degrees
B-100 degrees
C-105 degrees
D-180 degrees

Answers

The answer is -105 degrees

Solve 4c + 10 = 2. A. c = 2 B. c = -3 C. c = 3 D. c = -2

Answers

Answer:

d.c=-2

Step-by-step explanation:

Answer:  A. c=-2

Step-by-step explanation:

4c + 10 = 2

4c = -8

c = -2

50 POINTS!
Match the symbols used in electric circuit diagrams to their functions.
Circuit Symbols Matching
1.
a device that converts electric energy into sound energy


2.
a device that provides energy to a circuit


3.
a device that glows when it receives current


4.
a device that starts or stops the flow of current

Answers

Answer:

im gussing sorry if its wrong :(

Step-by-step explanation:

1=a

2=d

3=b

4=c

A,C,B,D I think the correct order

John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?​

Answers

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

I have an account. Why is your site not recognizing me.

Answers

Answer:

I don't know why that would be. I think you can contact they for customer support but I am not sure.

Step-by-step explanation:

Find the area of the shape

Answers

Answer: The area of the shape is 180 mm


Explanation: in photo below

3x + 2 when x = 5
Pls

Answers

Answer:

15 + 2 = 17

Step-by-step explanation:

Expand the polynomial using the FOIL method.

3 x 2 + 17 x + 10

A cylindrical tank of radius 2.5 feet is being drained of water at a rate of `0.25\ ft^{3}/\sec`. How fast is the height of the water decreasing?

Answers

Answer:

DONT PRESS THAT LINK

Step-by-step explanation:

The height of the water decreases at a rate of 0.012  ft/sec if a cylindrical tank of a radius of 2.5 feet is being drained of water at a rate of 0.25 ft³/sec.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

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

It is given that:

A cylindrical tank of a radius of 2.5 feet is being drained of water at a rate of 0.25 ft³/sec

As we know,

The volume of the cylinder is given by:

V = πr²h

Let V is the water draining rate

V = 0.25 ft³/sec

The radius r = 2.5 feet

0.25 ft³/sec = π(2.5 feet)²(h)

h = [0.25/(2.5²π)]  [ft³/(sec×feet²]

h = 0.012  ft/sec

Thus, the height of the water decreases at a rate of 0.012  ft/sec if a cylindrical tank of a radius of 2.5 feet is being drained of water at a rate of 0.25 ft³/sec.

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Pls help me with this one!! :>

Answers

Answer:

i dont see a picture?

Step-by-step explanation:

Step-by-step explanation:

the student who has the highest grades in a particular group of students and who gives the valedictory speech at a graduation ceremony compare salutatorian.

The triangle below is isosceles. If ∠C≅∠B, then what is BC, in units?

Answers

Answer:

Step-by-step explanation:

If angles C and B have equal degrees then the side AC is also equal to  side AB in length and you can make their equations equal as well and solve for X.

2x+16=7x+6

get X's all on same side and the constants all on the other side,  

-2x +2x+16=7x+6+-2x

The X's on the left cancel out.

16=5x+6

-6+16=5x+6+-6

add -6 to each side.  On the right the 6 is now cancelled out.

10=5X

divide each side by 5 to cancel out the 5

10/5= 5X/5

2=X .  ANSWER

The manager of a fast-food restaurant wants to be sure that, on average, customers are served within 4 minutes from the time the order is placed. He is particularly concerned about the staff working during the early morning shift. From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.

(a) Is there convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes?

Answers

Answer:

There is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 4[/tex]

The alternate hypothesis is:

[tex]H_{1} < 4[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.

This means that [tex]n = 41, \mu = 3.75, \sigma = 1.2[/tex]

The test-statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.75 - 4}{\frac{1.2}{\sqrt{41}}}[/tex]

[tex]z = -1.33[/tex]

[tex]z = -1.33[/tex] has a pvalue of 0.0918, looking at the z-table.

0.0918 > 0.05, which means that the null hypothesis is accepted, and that there is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes

A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box.
A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall.

Answers

Answer:

i think it is 141.4

Step-by-step explanation:

What are the coordinate points of A, B, C and D in quadrilateral ABCD? Refer to the image attached :)

Answers

Answer:

(-3,4),(5,4),(5,-4),(-3,-4)

Step-by-step explanation:

I mean its plotting

PLEASE HELP!
Find the area of each figure.
18 square units
9 square units
12 square units
24 square units
MATCH THE NUMBERS TO THE GRAPHS!!!!!

Answers

I do know the first figure is 24 square feet.

To get your answer,

Count the amount of the blocks stacked on top each other to make the length, in this case the first photo would be 3, and the width of the block, which is 8. To get the area, you would multiply the length and width together.

Image Form:

l x w = a

(length x width = area)

I hope this is a clear explanation!

Answer:

first one is 24

second one is 12

third one is 9

fourth one is 18

Step-by-step explanation:

Susie can run 4 2/3 miles per hour. If she runs for 3/4 hours how far will she have run?​

Answers

No sé nada dejen hacer trabajos

A piece of ribbon is cut into three pieces that have length in the extended ratio of 7:8:9. The length of the ribbon is 96 centimeters. What is the length of each piece of ribbon?

Answers

Answer:

28:32:36

Step-by-step explanation:

you add the ratios up all together and divide your answer by 96 the answer you get there you multiply it with the ratios

Select the correct answer. Find the solution(s) for x in the equation below.
x2-9x+20=0

Answers

Step-by-step explanation:

Given

x² - 9x + 20 = 0

x² - ( 4 + 5) x + 20 = 0

x² - 4x - 5x + 20 = 0

x ( x - 4 ) - 5 (x - 4 ) = 0

(x - 4 ) ( x - 5 ) = 0

Either

x - 4 =0

x = 4

or

x - 5 =0

x = 5

x = 4 and 5

Hope it will help :)

[tex].)[/tex]

Answer: hope this helps. Check out the image.. and can u give me brainliest pls and I also have explanation

Step-by-step explanation:

What's is 2+5 times 18 please answer fast

Free 100 points

Answers

Answer:

92

Step-by-step explanation:

5 times 18=90

90+2=92

you do times first because order of operations.

Answer:

92

Step-by-step explanation:

goodluck

Help meh with an explication

Answers

Answer:

[tex]\frac{6}{\sqrt 2}= 3\sqrt 2[/tex]

Step-by-step explanation:

Given

[tex]\frac{6}{\sqrt 2}[/tex]

Required

Rationalize

[tex]\frac{6}{\sqrt 2}[/tex]

To do this, we simply multiply by [tex]\frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\frac{6}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

This gives:

[tex]\frac{6 * \sqrt 2}{\sqrt 2 * \sqrt 2}[/tex]

[tex]\frac{6 \sqrt 2}{2 }[/tex]

[tex]3\sqrt 2[/tex]

Hence:

[tex]\frac{6}{\sqrt 2}= 3\sqrt 2[/tex]

Three girls walked home together each day. They walked at a rate of 3 miles per hour. They left school each day at 3:35 pm. The first girl arrived home at 3:55 pm. The other two girls arrived home at 4:05 pm and 4:15 pm. What is the total number of miles walked by the three girls combined?

solved answer

Answers

Answer:

4.5

Step-by-step explanation:

first girl took 20 mins walking 1 mile

second girl took 30 mins walking 1.5 miles

third girl took 40 mins walking 2 miles

Consider the polynomial function q(x)=-2x^8+5x^6-3x^5+50q(x)=−2x 8 +5x 6 −3x 5 +50q, left parenthesis, x, right parenthesis, equals, minus, 2, x, start superscript, 8, end superscript, plus, 5, x, start superscript, 6, end superscript, minus, 3, x, start superscript, 5, end superscript, plus, 50. What is the end behavior of the graph of q\q q, space? Choose 1 answer: Choose 1 answer:

Answers

Answer:

Step-by-step explanation:

The end behavior of the graph of q(x) is x → ∞, q(x) → -∞ and x → -∞, q(x) → -∞ option (C) is correct.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture

We have a polynomial shown in the picture:

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

The above polynomial is an eight-degree polynomial and the curve of the polynomial will be a curve graph.

After plotting the graph of a polynomial function we will see:

x → ∞

q(x) → -∞

x → -∞

q(x) → -∞

Thus, the end behavior of the graph of q(x) is x → ∞, q(x) → -∞ and x → -∞, q(x) → -∞ option (C) is correct.

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PLz this is fr a quiz. There are forty - three walnut trees and thirty - four dogwood trees currently in the park. Park workers will plant more walnut trees today. When the workers are finished there will be sixty - five walnut trees in the park. How many walnut trees did the workers plant today ? explain in two sentence

Answers

that makes absolutely no sense because it adds up to. ore than 60

PLS HELP ME OUT WITH THIS
Student A: 78, 99, 80, 85, 95, 79, 85, 96
Student B: 100, 80, 79, 75, 92, 93, 75, 78, 84

Student A Mean:

Student A Mean Absolute Deviation:

Student B Mean:

Student B Mean Absolute Deviation:

Answers

Student A Mean:

(78 + 99 + 80 + 85 + 95 + 79 + 85 + 96)/8 = 87.125

Student A Mean Absolute Deviation: 7.15625

Student B Mean:

(100+ 80+ 79+75+92+ 93+75+ 78+ 84) / 9 = 84

Student B Mean Absolute Deviation: 7.33

PLEASE HELP ME 30 points!!!



Multiple Choice

Eighteen students in a class play baseball.

Seventeen students in the class play basketball.

Thirty students in the class play either or both sports

Select the Venn diagram that shows the number of students who play basketball and baseball.

Answers

Answer:

A

Step-by-step explanation:

its a bec count how many student are their an see if they add IP to 30

The Venn diagram which shows the number of students who play basketball and baseball is option A.

What is Venn Diagram?

Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.

Let A denotes the students playing baseball and B denotes the student playing basketball.

N(A) = 18

N(B) = 17

N(A ∪ B) = 30

We know,

N(A ∩ B) = N(A) + N(B) - N(A ∪ B)

              = 18 + 17 - 30

              = 35 - 30

              = 5

Number of students who play both baseball and basketball = 5

Number of students who plays only baseball = 18 - 5 = 13

Number of students who plays only basketball = 17 - 5 = 12

This is shown in A.

Hence the correct option is A.

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a new optical illusion is posred on the internet. Write a recursive formula to describe the pattern. The, write the explicit formula that can be used to find the number of times the optical illusionis shared after eight hours.

Answers

Answer:

hope this helps

The solution is 3,27,680

The geometric progression is given by aₙ = a ( r )ⁿ⁻¹ , where r = 4 is the common ratio and after 8 hours a₈ = 3,27,680

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the first term of the geometric sequence be a₁ = 20

Let the second term a₂ = 80

So , the common ratio r = second term / first term

On simplifying the equation , we get

Common ratio r = 80/20

Common ratio r = 4

Now , the explicit formula for the GP is

aₙ = a ( r )ⁿ⁻¹ , where n is the number of hours

aₙ = 20 ( 4 )ⁿ⁻¹

So , after 8 hours ,

Substitute the value of n = 8 in the equation , we get

a₈ = 20 ( 4 )ⁿ⁻¹

a₈ = 20 ( 4 )⁷

a₈ = 3,27,680

Therefore , the value of a₈ = 3,27,680

Hence , the equation is aₙ = 20 ( 4 )ⁿ⁻¹

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HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!

Answers

the answer to the question is b.
yes the answer is B indeed

A rectangle is 5 times as long as it is wide. The perimeter is 50 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.

Answers

Answer:

Dimensions = 21 centimeters by 4.2 centimeters.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 50cm

Translating the word problem into an algebraic expression, we have;

L = 5W

To find the dimensions of the rectangle;

Perimeter of rectangle = 2L + 2W

50 = 2L + 2W

50 = 2(5W) + 2W

50 = 10W + 2W

50 = 12W

W = 50/12

W = 4.2 cm.

To find the length;

L = 5W

L = 5*4.2

L = 21 cm.

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