A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer 1

Answer:

The 80% confidence interval is  [tex]0.0328 <  \mu <  0.0392[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 23

  The sample mean is  [tex]\= x = 0.036 \ cc/m^3[/tex]

   The standard deviation is  [tex]\sigma = 0.012[/tex]

From the question we are told the confidence level is  80% , hence the level of significance is    

      [tex]\alpha = (100 - 80 ) \%[/tex]

=>   [tex]\alpha = 0.20[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.282[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = 1.282  *  \frac{0.012 }{\sqrt{23} }[/tex]

=>    [tex]E = 0.00321 [/tex]

Generally 80% confidence interval is mathematically represented as  

      [tex]0.036  -0.00321 <  \mu <  0.036  + 0.00321[/tex]

=>  [tex]0.0328 <  \mu <  0.0392[/tex]

   


Related Questions

PLease help with mathhh

Answers

Answer:

its is the 3rd one lol

Answer:

It would be the fourth option, -4/3 p + (-2/5)

Step-by-step explanation:

Notice that there's a positive sign followed by a negative sign, when we simplify this it becomes a negative sign. So simplified, this expression would be -4/3 p - 2/5, which makes it the closest to the given expression.

EDIT:

I just realized that there's more than one option, hence the instruction. So I looked through the options again and I believe the other answer would be -2/5 - 4/3 p (second option) -- the fractions only switched places unlike the other expressions where the negative/positive signs aren't equivalent to the given fraction.

What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5​

Answers

Answer: A (1)

Step-by-step explanation:

The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number

A

49/1=49

62/1=62

80/1=80

This is an option

B

49/2=24.5

62/2=31

80/2=40

This is not an option, 24.5 is not a whole number

C

40/3=16.333(repeating)

This is not an option, you are not given a whole number

D

49/4=12.25

This is also not an option, 12.25 is not a whole number

Answer

Our only possible answer is A-1

⚠️HELP PLZ TIMED⚠️
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
O 2
O9
12
O 36

Answers

I’m pretty sure it’s 12 don’t take my advice tho just saying

The population of fish in a pond in relation to the number of years since stocking is depicted on a graph. For the first few years after the pond is stocked, the population grows slowly. It increases more quickly as the fish reproduce, then it levels off. A pollutant kills off almost all of the fish 20 years after stocking. The population begins to grow again when the remaining fish reproduce. Which graph depicts the situation described above? ​

Answers

Answer:

Graph a

Step-by-step explanation:

the slope is proportional to the data

Graph A depicts the situation described above. Thus, option A is correct.  

What is a graph?

The link across lines as well as points is described by a graph, which is a mathematical description of a connection. A graph is made up of certain points and connecting lines. It doesn't matter how long the lines are or where the terminals are located.

The population of fish in a pond grows slowly for the first few years after it is stocked, then levels off. A pollutant kills off almost all of the fish 20 years after stocking, then the population begins to grow again when the remaining fish reproduce which is represented in graph A.

If every pair of datasets is connected in the same fashion, by multiplying by a factor, then the connection is proportional. The slope of a line is the slope of the regression. Like the ratio constant, this slope shows how rapidly a quantity is rising or falling.

Therefore, option A is the correct option.

Learn more about Graph, here:

https://brainly.com/question/17267403

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Write an equation of the line that passes through the given point as is (a) parallel and (B) perpendicular to the given line

A. y=
B. y=

Answers

A: y=-4x+19
B: y=1/4x+2

PLZ HELP ME AND I WILL MARK BRAINLIEST!!!

Answers

Answer:

-315 + 100 & -230 + 15

Step-by-step explanation:

1. 0 + -21.5 = -21.5 2. -20 + -1.5 = 21.5

A group of friends wants to go to the amusement park. They have $79.50 to spend on parking and admission. Parking is $19.50, and tickets cost $10 per person, including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.

Answers

Answer:

x = 6. six friends can go.

Step-by-step explanation:

79.50 - 19.50 = 60.00

60/10 = 6 people

The number of people that can go to the amusement park is six.

The information in the question can be represented with this equation:

Total amount the friends have = cost of parking + (cost of ticket x number of friends)

$79.50 = $19.50 + $10 × x

$79.50 = $19.50 + $10x

The equation that would be used to solve for the number of friends that can go to the amusement park, the equation that would be used is: $79.50 = $19.50 + $10x

Combine similar terms

$79.50 - $19.50 =  $10x

$60 = $10x

Divide both sides of the equation by 10

$60 / $10 = x

x = 6

A similar question was answered here: https://brainly.com/question/20471133?referrer=searchResults

What is the length of AC on a right triangle 84 156-x 7

Answers

Answer:

144

Step-by-step explanation:

i just took the test

in the coordinate plane, triangle ABC has vertices A(1,-2), B(1,0.5), and C(2,1) and triangle DEF has vertices D(4,-3), E(4,2), and F(6,3). The triangles are similar because DEF is the image of ABC under a dilation with center (_,_) and scale factor ___.

PLEASE HELPP​

Answers

Answer:

(A) the center of dilation is at (-2,-1)

(E) the scale factor is 2

The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The ratio of the lengths of corresponding sides of triangles ABC and DEF.

AB and DE are corresponding sides, so:

AB/DE = (distance between A and B) / (distance between D and E)

= 2.5 / 5

= 0.5

BC and EF are corresponding sides, so:

BC/EF = (distance between B and C) / (distance between E and F)

=1.118 / 2.236

= 0.5

AC and DF are corresponding sides, so:

AC/DF = (distance between A and C) / (distance between D and F)

AC/DF = 2.236 / 4.472

= 0.5

We see that all three ratios are equal to 0.5.

Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

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What is an equation of the line that passes through the points (-2, 1) and (-6,-5)

Answers

Answer:

y=3/2x+4

Step-by-step explanation:

I am pretry sure

please help me<3
i will give brainliest to the right answer

Answers

Answer:

26.5

Step-by-step explanation:

Because the sales is $530 and the commission rate is 5%, the commission would be 5% of the sales, which would be $26.5

8 less than the product of 6 and a number is the same as twice the number diminished by 10

Answers

6x - 8 = 2x - 10

This is the equation

How to multiply Decimals by power of 10?

Answers

Answer:

maybe this well help

Step-by-step explanation:

When you multiply a decimal by a power of 10, simply move the decimal place to the right as many places as there are 0s in the power of 10. When you divide a decimal by a power of 10, simply move the decimal place to the left as many places as there are 0s in the power of 10.

Answer:

You can convert the power of 10 to a decimal and multiply it by 0.502, or you can move the decimal place of 0.502 to the left depending on the value of the exponent:

0.502 x 10^2=0.00502 → 10^2 is equal to 100. So, 0.502 x 100=0.00502 OR 10 is raised to a power of 2, so move the decimal place 2 times to get 0.00502.

0.502 x 10^3=0.000502 → 10^3 is equal to 1000. So, 0.502 x 1000=0.000502 OR 10 is raised to a power of 3, so move the decimal place 3 times to get 0.000502.

Hope you understand and that this helps with your question! :)

A pizza with one topping costs $11.
Each additional topping costs $2
more. Write a recursive formula
and an explicit formula for the
situation.
explicit formula:
recursive formula:

Answers

Given:

A pizza with one topping costs $11. Each additional topping costs $2  more.

To find:

The recursive formula  and an explicit formula for the  situation.

Solution:

The sequence of costs of pizza is

11, (11+2), (11+2+2), ...

11, 13, 15, ... are in A.P.

Here,

First term: a=11

Common difference: d=2

Explicit formula of an A.P. is

[tex]a_n=a+(n-1)d[/tex]

where, a is first term and d is common difference.

[tex]a_n=11+(n-1)2[/tex]

[tex]a_n=11+2n-2[/tex]

[tex]a_n=9+2n[/tex]

Therefore, the explicit formula for the  situation is [tex]a_n=9+2n[/tex].

Recursive formula of an A.P. is

[tex]a_n=a_{n-1}+d[/tex]

Where, [tex]a_1[/tex] is first term and d is common difference.

[tex]a_n=a_{n-1}+2[/tex]

Where, [tex]a_1=11[/tex].

Therefore, the required recursive formula is [tex]a_n=a_{n-1}+2[/tex] where [tex]a_1=11[/tex].

Multiply. Write in simplest form. 2 1/2 x 1 1/2

Answers

Answer:

3.75 or 3 3/4

Step-by-step explanation:

Answer:

3.75 or 3 3/4

Step-by-step explanation:

2 1/2 or 2.5 x 1 1/2 or 1.5 is 3 3/4 or 3.75

Hope it helps!

cos(0)=square root 3/3, sin 0<0. what is the value of sin0​

Answers

Answer:

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

Step-by-step explanation:

Given that,

cos θ = [tex]\frac{\sqrt{3} }{3}[/tex]

From the trigonometric functions,

cos θ = [tex]\frac{adjacent}{hypotenus}[/tex]

⇒ adjacent = [tex]\sqrt{3}[/tex], and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj/^{2}[/tex] + [tex]/opp/^{2}[/tex]

[tex]/3/^{2}[/tex] = [tex](\sqrt{3} )^{2}[/tex] + [tex]x^{2}[/tex]

9 = 3 + [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 9 - 3

   = 6

x = [tex]\sqrt{6}[/tex]

Thus, opposite side = [tex]\sqrt{6}[/tex]

So that,

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

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

Therefore,

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

And this is Ari, signing off

Answers

Answer:

Byeee again haha

Step-by-step explanation:

Yea I'm answering this question again

A specific moderator deleted a lot of my answers almost all at once and for the reason that I didn't answer the question the people were asking, it's pretty weird as all the questions were either free points or very extremely straightforward questions like "what dynasty started the great wall" and usually when a moderator sees those they delete them but they just deleted my answer for almost no reason haha

Well if u see this then have a great day!

Answer:

ok :)

Step-by-step explanation:

Select all expressions that are equivalent to 8.8.8.8.8

Answers

Answer:

the first one

the third one

and the forth one

Step-by-step explanation:

they all add up to the same amount

Joe and Sally have $89.74 combined. They each had the same amount. What was that amount?

Answers

Answer:

179.48

Step-by-step explanation:

calculator

Answer:

44.87

Step-by-step explanation:

Solve for y given the lines are parallel

Answers

Answer:

I believe the y is parallel :)))))))))

Answer:

35 degrees

Step-by-step explanation:

70 divided by 2 is 35.

And both sides are equal to each other bc the lines are parallel.

Consider best strategy to solve the problem.
On a field trip, the ratio of teachers to students is 1:25. If there
are 5 teachers on the field trip, how many students are on the
trip?

Answers

5:1,25=4

1/4 teacher plus for echipa studenta.

PLEASE I NEED HELP AND I ONLY HAVE AN HR Question 2 (4 points)
(04.02)

Determine whether the graph represents a proportional relationship. (4 points)

A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.

a
Yes, it is a proportional relationship because the graph goes through the origin

b
Yes, it is a proportional relationship because the graph is a straight line

c
No, it is not a proportional relationship because the graph is not a straight line

d
No, it is not a proportional relationship because the graph does not go through the origin

Answers

------> The Answer Is C <------

Hope this helps have a good day :D

Linden Middle School has 480 students. The number of students is increasing by 5% next year
How many students will there be? (Please do step by step)

Answers

Answer:

Please do step by step)

hope I gave

Give the domain and range.

Answers

A should be correct


Hope it helps

Answer:

option a is correct answer

If 12 cookies cost $3 how much would it be for 9 cookies

Answers

$36 is the answer :)
you use ratios. if 12 whole cookies cost only 3 dollars.
12:3
9:x
x is how much it would cost. so try to find x.
x= 2.25
9 cookies cost 2 dollars and 25 cents

Solve for a .

5.4 = a - (-1.8)


a =

Answers

5.4=a+1.8
5.4-1.8=a
a=3.6

Answer:

3.6 = a

Step-by-step explanation:

5.4 = a - ( -1.8)

Distribute minus sign.

5.4 = a + 1.8

Move constant to the left hand side and change their sign.

5.4 - 1.8 = a

3.6 = a

Prepare the journal entry to record the issuance of 5,000 shares of $20 par common stock for $25 per share

Answers

Answer:

value preferred stock for $65,250 cash

HOPE THIS HELP PLEASE TOUCH THANKS.

Answer the question below.

it's one of these

-16 / 3

-16 / 2

-8 / 8

-8 / 2

Answers

Answer:

-16 / 2

Step-by-step explanation:

You have 16 negative tiles and you are dividing it into 2.

Answer:

It is -16 / 2

Step-by-step explanation:

Please mark brainliest.

whats the slope intercept form of 5x-14y=-10

Answers

Answer: y = 5/14x + 5/7

Step-by-step explanation: write in slope intercept form y =mx + b

Which point on the number line represents the product of 4 and –2?
Point A
Point B
Point C
Point D

Answers

Answer:

It's A

Step-by-step explanation:

the one above me is incorrect it's "A"

Answer:

A

Step-by-step explanation:

hi

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