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

Questions in the attachments

Thank you to whoever answers :)

Answers

Answer:

A.

C.

D.

That should be the answer.

Hopefuly that helped.

Given f(x) = V(3 x – 12) +2, what is the range in set notation?

Answers

Answer:

Step-by-step explanation:

[2,∞)

Answer:

it's 2

Step-by-step explanation:

Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem:

Maximize contribution = 5X1 + 4X2 + 3X3
Subject to: 1X1 + 7X2 + 4X3 <= 90 (hours on machine 1)

2X1 + 1X2 + 7X3 <= 96 (hours on machine 2)
8X1 + 4X2 + 1X3 <= 90 (hours on machine 3)
X1, X2, X3 >=0

Determine the optimal solution using LP software. the optimal achieved is

X1=
X2=
X3=

Answers

Answer:

Step-by-step explanation:

[tex]\text{Maximize p = 5X1 + 4X2 + 3X3 subject to;} \\ \\ 1X1 + 7X2 + 4X3 <= 90[/tex]

[tex]2X1 + 1X2 + 7X3 <= 96[/tex]

[tex]8X1 + 4X2 + 1X3 <= 90[/tex]

[tex]X1 > = 0[/tex]

[tex]X2 >= 0[/tex]

[tex]X3 >=0[/tex]

[tex]\text{USing LP software, The Optimal Solution: Maximum Contribution} = 90.547;}\\ \\ x1 = 7.07692, \\ \\ x2 = 5.62393, \\ \\ x3 = 10.8889[/tex]

Solve for x in the triangle. Round your answer to the nearest tenth

Answers

Um is there any attachment?

Is 1.5399818181... a rational number?

Answers

Answer:

yes, cuz the rational numbers is said to be 0 or real numbers.

This is Adele’s solution for the equation.
x² - 8x – 33 = 0
Step 1: x² - 8x = 33
Step 2: x² - 8x + 16 = 33 + 16
Step 3: (x – 4)² = 49
Step 4: x – 4 = 49 OR x – 4 = - 49
Step 5: x = 53 OR x = - 45
Where did Adele make her mistake? What are the solutions to this equation? Show all of your work.

Answers

Answer:

B

Step-by-step explanation:

I'm pretty sure

The mistake was in step 1.  Here is how to correctly solve the equation: x² - 8x – 33 = 0 (x - 11) (x + 3) = 0 x – 11 = 0 x +3 = 0 x = 11 and x = -3

MovieMania, an online movie rental website charges a one-time fee of $6.85 and $2.99 Per movie rental. Let m represent the number of movies you watch and let C represent the total cost to watch the movies. write an equation that relates the total cost to the numbers of movies you watch from MovieMania

Answers

Answer:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

Step-by-step explanation:

From the information provided, you can say that the total cost to watch the movies would be equal to the one-time fee plus the result of multiplying the price per movie for the number of movies you watch, which can be expressed as:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

What are the measures of ∠1 and ∠2? PLEASE ANSWER
m∠1 = 58.2°, m∠2 = 75.5°
m∠1 = 67.4°, m∠2 = 104.5°
m∠1 = 75.5°, m∠2 = 67.4°
m∠1 = 104.5°, m∠2 = 58.2°

Answers

9514 1404 393

Answer:

  (b)  m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

It is easiest to find angle 2 first, then make your answer selection based on that.

The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...

  angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice

__

Angle 2 is an exterior angle of the top triangle. It, too, is the sum of the remote interior angles:

  104.5° = angle 1 + 37.1°

  angle 1 = 104.5° -37.1° = 67.4°

Answer:

C!

Step-by-step explanation:

m∠1 = 75.5°, m∠2 = 67.4°

A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches

Answers

Answer: D 120 square inches


1. Find the degree measure and the length of arc AB:

120°
20 in.

Answers

Answer:

Degree measure of arc AB = 120°

Length of arc = 41.9 in.

Step-by-step explanation:

✔️Measure of Central angle is the same as Measure of the intercepted arc

Therefore,

Degree measure of arc AB = 120°

✔️Length of arc = [tex] \frac{\theta}{360} * 2 \pi r [/tex]

[tex] \theta = 120 [/tex]

r = 20 in.

Length of arc = [tex] \frac{120}{360} * 2 \pi * 20 [/tex]

= 41.887902

Length of arc = 41.9 in. (Nearest tenth)

Find the value of 5⁰ X 7⁰ X 3⁰

plz help asap​

Answers

Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

if the circumference of a circle is 52 cm, what is the radius? round to the nearest tenth. PLESE HELP I DONT HAVE THAT MUCH TIME :(

Answers

Answer:

8.3

Step-by-step explanation:

Given,

Circumference of the circle = 52 cm

Therefore ,

By the problem,

[tex] = > 2\pi r = 52[/tex]

[tex] = > 2 \times 3.14 \times r = 52[/tex]

[tex] = > r = \frac{52}{3.14 \times 2} [/tex]

=> r = 8.2802547771

Rounded to nearest tenth,

=> r = 8.3 (Ans)

A rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $3.00 per
square inch. How much is the sheet of metal worth?

Answers

Answer:

240$$

Step-by-step explanation:

find the area

A=LW

A=8x10

A=80

80x3=240

Alfred wants to become a member of an online discussion forum. The website requires him to create a password. The password must consist of 5 characters, of which 3 must be letters and 2 must be digits. The first character of the password must be a letter. Also, repetition of the same letter in the password is not permitted but repetition of digits is permitted. How many possible ways can Alfred create the password?
So I know the answer is 9,360,000 but I got 18,720,000. This is because I thought the partition is 4! / (2! * 1! * 1!) but apparently the partition is 4! / (2! * 2!) and this confuses me. I thought that since the letters can't be repeated, we'd put one unique letter in one group, the other unique letter in the other group, and the two repeated digits in the last group. Can somebody explain this to me?

Answers

Answer:

Alfred can create the password in 9,360,000 possible ways

Step-by-step explanation:

Given the data in the questions;

Password of five characters must contain; three letters and 2 digits

[][][][][]

Now, using the five boxes above which as to be filled with three letters and two digits, such that; The first character of the password must be a letter and  repetition of the same letter in the password is not allowed while repetition of digits is allowed.

Now,

we know that there are 26 alphabets in English language, so the first box can be filled in 26 ways { must be a letter }

next four will be filed with two letters and two digits

so two boxes from the four can be chosen in the following ways;

⇒ ⁴C₂ = 4! / ( 2!(4-2)! = 24 / 4 = 6  { ways }

now for each choice, we can fill the chosen two boxes with letters in;

⇒ 25 × 24 = 600 { ways}

and the next two by digits; ( 0, 1, 2, ..... 9)

⇒ 10 × 10 = 100 { ways }

So in total, the possible number of ways he can create a password is;

⇒ 26 × 6 × 600 × 100

= 9,360,000 possible ways

Therefore, Alfred can create the password in 9,360,000 possible ways

What is the Area of this quadrilateral

Answers

C is the answer i just did this answer and get it correct

Use the following coordinate plane to write the ordered pair for each point.

Answers

Step-by-step explanation: When finding the coordinates

of a given point, be very careful with your signs.

On the x-axis, left means negative and right means positive and

on the y-axis, down means negative, and up means positive.

So to find the coordinates for point A, we start at the origin,

which is the point (0, 0), and we move 2 units to the left and 4 units up.

So that's the point (-2, 4).

Remember to go left or right first, then up or down.

So for point B, we go 0 units to the left or right and 3 units down.

So that's the point (0, -3).

For point C, we move 4 units to th

right and 4 units down so tha's (4, -4).

a bag contains 4 red, 3 orange and 5 purple marbles. what is the probability of drawing 2 purple marbles in a row without replacement?

Answers

Step-by-step explanation: this one is for zack!!!!!!!!!

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 5/33

Explanation:

5/12 x 4/11 =5/33

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Pls hurry I need an instant answer ASAP! Thank you

Answers

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

Help fjdhddjdhdhhdhdhdufh

Answers

Answer:B. 86

Explanation: 1032/12=86

Branliest to correct answer please explain how you solved it

Answers

Answer: it is a.

Step-by-step explanation: because I'm smart.

Answer: 2% or 3%

Most likely 2%.

Step-by-step explanation:

There’s a 20 sided dice and 100÷20=5

but you have to think of it as 26

2% x 26= 0.52 make 0.52 a 52 and take off the 2 from  52 and make it your answer, 2%

thats what I came up with and gathered after some tests on a normal online calculator that doesn‘t do remainders.

A pet shop sells a 6 can multipack of dog food for £3.18 and a 15 can multipack for £7.80. Which
multipack is the best value for money?
B UTI-
Write your answer
COOLE SETTINGS

Answers

Answer:

get some more help I don't understand


Please help me with my homework​

Answers

Answer:

0.8

Step-by-step explanation:

0.4*2=0.8

hope this helps.

0.4x2=0.8


You would multiply 0.4 and 2 which gets you 0.8.

A cone in the diagram below has a radius (r) of 10mm and its height (h) is 24mm calculate the length of the slant height

Answers

Answer:

26mm

Step-by-step explanation:

by the Pythagorean theorem,

[tex]x^2=10^2+24^2\\x^2=676\\x=26[/tex]

Please help me with this

Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.

A. 6 meters per second
B. 5 meters per second
C. 7 meters per second
D. 4 meters per second

Answers

Used Desmos and you’ll get your answer but do like 4m or y=4

Help please!!!!!! I don't have a lot of time

Answers

Answer:

Its 5,...................

Answer:

5

Step-by-step explanation:

simplify the exponent

35/8-1

simplify

35/7

simplify

5

What is the value of x in this equation: 4x+5=3x+4

Answers

move everything to one side, it becomes negative
3x+4-4x-5
=-x-1

Which point is a solution to the system of inequalities below?
x+2y<1
x-4y>7

A (-4,-1)
B (2,-3)
C (3,-1)
D (4,-1)

Answers

Answer:

Hello I'm not to sure but I think A and B but I'm not sure

Step-by-step explanation:

What is the area of the triangle in the diagram?

Answers

theres no diagram given

please help me!!!!!!!!!!!!

Answers

Answer:

C. and D. are correct

Step-by-step explanation:

I solved all of them

A would be 0.5 not 2

B would be 2.5 not 2

E would be 0.5 not 2

hope this helps <3

What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)

Answers

Answer:

D

Step-by-step explanation:

I hope this helps a bit.

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