Ten samples of coal from a Northern Appalachian source had an average mercury content of 0.242 ppm with a standard deviation of 0.04 ppm. Find a 95% confidence interval for the mean mercury content of coal from this source. Round the answers to four decimal places.

Answers

Answer 1

Answer:

0.2172<x<0.2668

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = xbar ± (z*s/√n)

xbar is the average = 0.242ppm

z is the z score at 95% confidence = 1.96.

s is the standard deviation = 0.04pm

n is the sample size = 10

substitute the values into the formula;

CI = xbar ± (z*s/√n)

CI = 0.242 ± (1.96*0.04/√10)

CI = 0.242 ± (1.96*(0.04/3.1623))

CI = 0.242 ± (1.96*(0.01265))

CI = 0.242 ± (0.02479)

CI = (0.242-0.02479, 0.242+0.02479)

CI = (0.2172, 0.2668)

Hence a 95% confidence interval for the mean mercury content of coal from this source is 0.2172<x<0.2668.


Related Questions

Which expression is equivalent to 9+8 xn?
0 72n
O 9 + 8n
17 xn
0 9x (8 + n)

Answers

17 xn, because 9+8 is 17, and xn stays the same.

In the diagram below, KM=5 and MN=3

Answers

Answer: KL = KN LM=NO=9 Side-Side-Side

Step-by-step explanation:

The required answers to the question is given below.

What is congruence?

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.

How to solve it?

Use the following figure to understand the answer.

The Proof is

1. KM=KO=5 (GIven)

2. MN=3 (Given)

3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)

4. KL=8 (Given)

5. KL=KN (from 3,4 substitution)

6. NO=ML=9 (Given)

7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.

Learn more about congruence of triangles here-

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Please help. Also my answers are wrong.

Answers

9x+2 = 6x/8, 72x+16 = 6x, 16 = -66x, x = - 0.242424... or - 8/33
The picture is a bit blurry, I think it is 6x divided by 8 right?

Pls help I'll mark the brainliest to the person who answers first.

Answers

Answer:

C

Step-by-step explanation:

The quotient of a number and twelve plus four would be n/12 + 4 and not 12/n + 4

Answer:

C

Step-by-step explanation:

The quotient of a number and twelve plus 4 would be represented as n/12+4

Pls help me out I’m having some trouble

Answers

Answer:

Yes, the table below does represent a proportional relationship since 7/3=12.5/5=20/8=27.5/11=2.5.

Step-by-step explanation:

Yes the table does support.

Calculate the final cost of the item with tax. Gloves: $17.50, Tax: 6.15% *PLS HELP*

Answers

Answer:

$17.50 + $1.08 (sales tax) = $18.58

Step-by-step explanation:

17.50 x 6.150

What are the steps to graphing a linear equation?

Answers

Locate the y-intercept on the graph and plot the point.

From this point, use the slope to find a second point and plot it.

Draw the line that connects the two points.

Answer: 1: You Have to find the y intercept and the plot the point                          2: From that point you have to find the slope and use that as a second point                

3: Then Draw The Line And Connect The Points

Which sentence can represent the inequality 2.4(6.2- x) >-4.5?

Answers

Answer: B. Two and four tenths multiplied by the difference of six and two tenths and a number is more than three negative four and five tenths

Explanation: I’m not sure. I will edit this if I get it wrong (I am currently taking the test that has this question).

Edit: B. is the correct answer. I got a hundred on my test.

Hope this helped! :)

Answer:

B)Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.

Step-by-step explanation:

I got it right on my test

2x - 4 > 4
...................

Answers

Answer:

x>4

Step-by-step explanation:

Christian rented his books from the internet for a price represented by the equation below. Lela rented her books from the bookstore for the price represented in the table. Who pays more money for each additional day (d) after day 0?

Answers

Could you add a image or message me the image, after you do that you can comment on this and I’ll come back to it.

Which ordered pair is the solution to this system of equations?
2y= 6x + 10
y= 2x + 4

Answers

Answer:

the answer is (-1,2), hope this helps.

what is 6,691 ÷ 28

step by step

without a decimal​

Answers

Answer:

238

Step-by-step explanation:

238.964286

What is 6,691 ÷ 28

238.964285714

If x = -3, and y = 2, evaluate the following:
4x^2

Answers

Answer:

Evaluate the expression for the given values of x and y. x-y/x+y when x = 10 and y = 8

please answer I need it

A-between hour 2 and 3
B-between hour 4 and 5
C-between hour 1 and 2
D-between hour 3 and 4​

Answers

Answer:

A

Step-by-step explanation:

This is due to the fact that their is no gain. It just plateaus.

Answer:

A

Step-by-step explanation:

Sorry if I get this wrong I just thought it might be the slowest because it's going up in time but not distance.

Demetrius invested money into two different stocks after one year he revived a letter that summarized the preformance of the stocks graphically Demetrius observed that the growth of each stock was the same which equation shows the translation of the graph of stock b to that of stock a

Answers

Answer:

C

Step-by-step explanation:

can someone help me on this please

Answers

Answer:

the answer is infinitely many solutions

Which ordered pair is a solution of 2x - 5y = 10?*
O (5,1)
O (-5,2)
O (5,0)
0 (4,1)
O None of these

Answers

Answer:

The third coice should be your answer. Have a nice day.

Answer:

(5,0)

Step-by-step explanation:

By substituting each x and y value into the equation, you can see that the only ordered pair that equals 10 is (5,0)

A lay office assistance gets 236.39 every two weeks. How much will they make in a year? Round to the nearest cent

Answers

Answer:

Step-by-step explanation:round the number then x it by 12

Answer:

$5673.36

Step-by-step explanation:

4 weeks in a month

12 months in a year

Therefore, they get paid twice in a month.

236.39 * 2(twice in a month) = 472.78 per month

Take this and times it by 12 since there are 12 months in a year.

472.78*12 = 5673.36

Find the sum of the interior angle measures of the green polygon,
Then sum of the interior angle measures is

Answers

Answer:

The sum of interior angles of given polygon is 900°

Step-by-step explanation:

A regular polygon is a n-sided figure with n sides and the length of all sides is same.

In the diagram, we have a polygon with 7 sides.

The formula given is used to calculate the sum of interior angles of a polygon

[tex]Sum\ of\ interior\ angles = (n-2)*180[/tex]

Here n is the number of sides of polygon

In the given polygon

n = 7

So,

[tex]Sum = (7-2)*180 = 5*180 = 900[/tex]

Hence,

The sum of interior angles of given polygon is 900°

Alpha Pharmaceuticals is manufacturing a new antibiotic. The amount of active substance in each pill is normally distributed with a mean of 20 mg and a standard deviation of 2.5 mg. What is the probability of a pill having more than 24.125 mg active substance?

Answers

Answer:

The probability of a pill having more than 24.125 mg active substance is 0.0495.

Step-by-step explanation:

Let X denote the amount of active substance in each pill.

It is provided that,[tex]X\sim N(20,\ 2.5^{2})[/tex]

Compute the probability of a pill having more than 24.125 mg active substance as follows:

[tex]P(X>24.125)=P(\frac{X-\mu}{\sigma}>\frac{24.125-20}{2.5})[/tex]

                       [tex]=P(Z>1.65)\\\\=1-P(Z<1.65)\\\\=1-0.95053\\\\=0.04947\\\\\approx 0.0495[/tex]

Thus, the probability of a pill having more than 24.125 mg active substance is 0.0495.

please help asap question three#

Answers

Answer:

I don't know, i know its a parrell structure but the answers i dont know i am just here for the points to beat my friend in a race

Step-by-step explanation:

I need help with this question.

Answers

Answer:

B

Step-by-step explanation:

I think it’s b I’m sorry if this is wrong

Leslie and her friend eat lunch at a restaurant.
To determine how much money to leave as a tip, she multiplies the bill by 0.18.
How much money should she leave as a tip if the bill is $25?

Answers

answer :

$4.50

explanation:

Pls help because i don’t get it

Answers

Answer:

you have to divide it then when you cant divide because it will go on forever that number you keep getting is the remainder

1043r2 that would make 2 your remainder

PLZ HELP!!!

Xavier is attempting to recreate a problem his teacher showed him in class. To do so, he creates the table below.

x
y
1
3
2
?

He remembers that the slope of the line through the ordered pairs in the table was 4. What is the missing y-value in the table?
5
7
8
12

this is on edge2020

Answers

4 is missing I assume. But I could be wrong

3 dotted horizontal and parallel lines are shown. Point Q is at the far left side of the top line, point R is at the far right of the second line, and point S is at the far left side of the bottom line. Lines are drawn from point Q to point R and from point R to point S. The angles formed are labeled, from top to bottom: 1, 2, 3, 4. Use the diagram to complete the statements. The angle of depression from point R to point S is angle . The angle of elevation from point S to point R is angle . Angle 2 is the angle of elevation from . Angle 1 is the angle of .

Answers

Answer: Use the diagram to complete the statements.

The angle of depression from point R to point S is angle

✔ 3

.

The angle of elevation from point S to point R is angle

✔ 4

.

Angle 2 is the angle of elevation from

✔ point R to point Q

.

Angle 1 is the angle of

✔ depression from point Q to point R

.

Step-by-step explanation:

got it right on edge

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. ∠1 is the angle of depression from point Q to R.

What is an angle?

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

For the given statements, the diagram can be made as shown below, therefore,

The angle of depression from point R to point S is ∠3.The angle of elevation from point S to point R is ∠4.∠1 is the angle of depression from point Q to R.

Learn more about Angle:

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A swimming pool has a volume of 8000 cubic feet. Given that 1 cubic foot has a capacity of about 7.48 gallons. How many gallons of water does the pool hold ?

Answers

Answer:  The swimming pool holds 59,840 gallons of water.

Step-by-step explanation:

Multiply 7.48 times 8000

Find the value of x.
54
79

Answers

Answer:

I believe it is 47 degrees

Step-by-step explanation:

Triangles add up to 180 degrees

54 + 79 = 133

180 - 133 = 47

A mother is 30 years old when her daughter is 4. In how many years will the daughter’s age be half the mother’s age?

Answers

Answer:

in 11 years

Step-by-step explanation: half of 30 is 15 and 11 + 4 is 15.

Answer:Eleven Years

Step-by-step explanation:

Ok, if the mother is 30, then half her age would be 15. Now, if the daughter is 4, you would subtract 15-4, which equals 11.

So the answer is eleven years.

Hope this helped!

The boy has 45 apples and ate 6 bla bla bla

Answers

so if it’s sub then 45 -6 = 39

Answer:45-6=39

Step-by-step explanation:OKEI im sorry for asking, but askings what i do,can I have ur points so i can be more richer than u

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