A safety auditor at a paint factory took a random sample of 25 cans of paint from a production run of over
1,000 cans and measured the amount of lead in each can of paint in the sample. The sample data were roughly
symmetric with a mean of 37 parts per million (ppm) of lead per can and a standard deviation of 18 ppm.
SPA
CRI
As
Based on this sample, which of the following is a 95% confidence interval for the mean amount of lead per can
of paint (in ppm) in this production run?

Answers

Answer 1

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval is (29.6, 44.4).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The other parameters are given by:

[tex]\overline{x} = 37, s = 18, n = 25[/tex].

Hence, the bounds of the interval are given as follows:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37 - 2.0639\frac{18}{5} = 29.6[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37 + 2.0639\frac{18}{5} = 44.4[/tex]

The 95% confidence interval is (29.6, 44.4).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer 2

Answer:

To simplify what the other person said:

(29.57, 44.43)

Step-by-step explanation:

Proof that this is right on Khan

A Safety Auditor At A Paint Factory Took A Random Sample Of 25 Cans Of Paint From A Production Run Of

Related Questions

Giving brainliest to who can help!

Answers

Answer:

BELOW

Step-by-step explanation:

OK so AC is 18, since both of those sections are 9, and 9+9=18.

But for AG im kind of stuck. At first I thought it was 11 but then just by looking at it you can see that they aren't the same length(I mean AG and GC) so I don't know about that one.

heres what I THINK it could be

GF and GD COULD BE the same length, considering that this is a 3d shape.

So, since AGF is a right triangle, we can use pythagorem. theorem.

7^2+9^2=x^2

49+81=x^2

130=x^2

x==11.40

MAYBE AG=11.40.

i tried my best sorry

Find BC.
Round to the nearest tenth.

Answers

this is 50 because of you add it up to the tenth it’s the ten

What is the most inexpensive way to measure heart rate during exercise?
A. Doing a rate of perceived exertion
B. Taking your pulse
C. Wearing a heart rate monitor
D. None apply

Answers

Answer:

C

Step-by-step explanation:

Taking your own heart rate is the most inexpensive, but it is also accurate if you can measure it correctly.

whats the lcm for 5678

Answers

Answer:

28390

Step-by-step explanation:

If you take 10*5678=28390

Answer:

840.

Step-by-step explanation:

LCM of 5 6 7 and 8,

Write out the prime factors of each number.

5 = 5

6 = 2*3

7 = 7

b = 2*2*2

So the LCM =  2*2*2*3*5*7

= 840.

find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 . ​

Answers

☂︎ Answer :-

8100 ☂︎ Solution :-

LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .

In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .

The least perfect square greater that the LCM ,

☞︎︎︎ 2 × 3³ × 5² × 2 × 3

☞︎︎︎ 2² × 3⁴ × 5²

☞︎︎︎ 4 × 81 × 85

☞︎︎︎ 100 × 81

☞︎︎︎ 8100

8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .

You pick a card at random. Without putting the first card back, you pick a second card at random.

3
4
5


What is the probability of picking a 5 and then picking a 5?

Write your answer as a fraction or whole number.

Answers

0 if there is only 1 5

Answer:1/169 i think

Step-by-step explanation:

Because you have to get a 5 twice in a row your first probability for one would be 4/52 or 1/13 but because you have to do it twice in a row you multiply the odds together 1/13*1/13=1/169

In circle XX, m\angle YXZ=100^\circ∠YXZ=100

and the length of \overset{\LARGE\frown}{YZ} = 5\pi
YZ

=5π. Find the length of \overline{XY}
XY

delta math

Answers

The length XY of the circle X is the radius of the circle

The length of XY is 9 units

How to determine the length of XY?

The parameters are given as:

Length of arc, YZ = 5πCentral angle, YXZ = 100°

The length of arc is calculated using:

L = Ф/360 * 2πr

Where:

L = YZ = 5πФ = YXZ = 100°Radius, r = XY

So, we have:

5π = 100/360 * 2πr

Evaluate the quotient

5π = 5/9 * πr

Divide both sides by 5π

1 = 1/9 * r

Multiply both sides by 9

r = 9

This means that

XY = r = 9

Hence, the length of XY is 9 units

Read more about arc lengths at:

https://brainly.com/question/23865630

Simplify: (-4ab^2)(-3b^2c) (5a)

Answers

Answer:

[tex]60a^{2} b^{4} c[/tex]

Step-by-step explanation:

just multiply first paranthesis with second one. They are each 1 unit as there are no addition or subtraction inside the parantehsis so DON'T distribute. It's more simple.

(12ab^4c)*(5a)

now multiply these 2 paranthesis, again just 2 units to multiple.

60a^2b^4c

At Garcia's Bike Rentals, it costs 31 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar?

Answers

[tex]\tt \dfrac{7}{31}=0.226~hours/dollar[/tex]

What number represents 8 times as many as 2

Answers

answer: 16

explanation: 8*2=16

The number that represents 8 times as many as 2 is 16.

The times in the question is nothing but multiplying a number with another number.

To find the number that represents 8 times as many as 2.

we need to multiply 2 by 8.

Two times eight is equal to sixteen.

2 × 8 = 16

Therefore, the number that represents 8 times as many as 2 is 16.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ6

Spinner has 7 pieces, 1 black, 2 gray, 4 white, what is the probability that I would land on a gray piece?

Answers

Answer:

2/7

Step-by-step explanation:

there are 2 gray prices out of 7

A train travels 71 km in 28 minutes. what is its speed in kilometers per hour? 

Answers

Your answer is 152 1/7.

Find the Volume.
9- in
in
2 in
1
3 in

Answers

Step-by-step explanation:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

[tex]3 \frac{1}{2} \times 2 \times 9 \frac{1}{3} \\ = 45.5556[/tex]

mark it Brainiest please

Financial algebra -
Charles is 45 years old, and makes $40,000 per year. If he were to die, how
much would the beneficiaries of his life insurance policy receive if they can
get by on 60% of his income?

Answers

Answer: The Beneficiaries will get 24,000 dollars in total  

Step-by-step explanation:

1.) Step one is you would have to divide 40,000 by 60 because that will be how much they would get

2,) Step two is box you answer  

What number is 35% of 675?​

Answers

Answer:

236.25

Step-by-step explanation:

35/100x675=945/4 = 236.25

please i really need help right now 25 points

Answers

Answer:

C

Step-by-step explanation:

f(x) are 6; 2; -3; 4, finalle the answer C is correct.

PLEASE HELP ME!!! 20 points!

Answers

Answer: C

Step-by-step explanation:

hope this helps

NEED HELP ASAP WILL MARK BRAINLEST!!

Answers

Does it tell you to make up your own problem situation or to choose from, if it asks you to choose from the provided then you didnt send the screenshot properly send it again and I will help you answer it but in case it asked you to make upyour own problem situation heres the answer:

Step-by-step explanation:

John has built houses on 59.48 acres of land, his dad had given him 300 acres of land before passing, john plans on building a lot more houses this year. X is the amount of acres of land he will use to build the house in addition to the 59.48 acres of land already used to build houses previously, combined they can equal a maximum of 300 acres because thats all he has.

How many pounds is 3/12 and 1/12?

Answers

Answer:

Step-by-step explanation:

Remark

This is just a matter of adding 2 fractions and reducing the result

Givens

f1 = 3/12

f2 = 1/12

Equation

Answer = f1 + f2

Solution

answer = 3/12 + 1/12

The denominators are the same. The answer will have the same denominator

Answer = (3 + 1)/12

Answer = 4 / 12

The answer has a common factor in both the top and bottom of the fraction (4 is the common factor).

Therefore divide the top and bottom by 4

Answer = 4/4 // 12/4

Answer = 1 / 3

a blank is a transformation that changes the slope of a line​

Answers

Answer:

I'm pretty sure its Stretches and Compressions.

Step-by-step explanation:

A bedroom door has a perimeter of 26 feet and an area of 36 square feet. What are the dimensions of the door?

Answers

4 and 9

Because 4+4+9+9=26

And 4x9=36

You can use trial and error or substitution.

Equation 1. 2x + 2y = 26
Equation 1. x = 13 - y

Equation 2. xy = 36
Equation 2. x = 36/y

Equation 1 = Equation 2 to equal equation 3. Then move all the terms to one side and factorise to get your answer.

Equation 3. 13 - y = 36/y
Equation 3. y squared - 13y + 36 = 0
Equation 3. (y - 4)(y - 9)
y = 4 or 9

Therefore the dimensions are 4 and 9

please help me find DE

Answers

You can split up the length of AE into the lengths of the line segments connecting adjacent points:

AE = AB + BC + CD + DE

Plug in everything you know and solve for DE :

9 = (2 1/2) + (4 1/3) + (1 2/3) + DE

Rewrite the mixed numbers as improper fractions with a common denominator.

2 1/2 = 4/2 + 1/2 = 5/2 = 15/6

4 1/3 = 12/3 + 1/3 = 13/3 = 26/6

1 2/3 = 3/3 + 2/3 = 5/3 = 10/6

9 = 54/6

So we have

54/6 = 15/6 + 26/6 + 10/6 + DE

⇒   DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2

(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)

Help help help help math math

Answers

Answer: -4

Step-by-step explanation:

[tex]\frac{a}{4} +3=2[/tex]

Start by subtracting 3 from both sides

[tex]\frac{a}{4} +3=2\\\frac{a}{4} +3-3=2-3\\\frac{a}{4} =-1[/tex]

Now multiply each side by 4

[tex]\frac{a}{4} =-1\\\frac{a}{4}(4) =-1(4)\\a =-4\\[/tex]

Combine the like terms to create an equivalent expression

Answers

Answer:

y is the same as 1y. so 9y + 1y = 10y

Answer:

Step-by-step explanation:

Like terms have same variable with same power.

If so, just combine the coefficient of the variables.

9y + y = (9 + 1)y

           = 10y

The dimensions of Mr.Tai's living room are 10 feet x 18 feet x 8 feet, and the dimensions of his family room are 14 feet x 20 feet x 8 feet. What is the total volume, in cubic feet, of the 2 rooms?

{I might not need help but i want to see ur answers :)}

Answers

Answer:

3,680 cubic feet

Step-by-step explanation:

how many solutions does 2a-5a=-3a have

Answers

Answer:

Step-by-step explanation:

2a-5a = -3a, combine like terms

   -3a = -3a , this is true all the time so ...

The equation  2a-5a = -3a has infinite many solution.

A recipe for potato salad calls for 3/4 cup of Mayo for 5 servings. How many cups of Mayo are neeed for 30 servings of potato salad?​

Answers

Answer:

[tex]\frac{9}{2}[/tex]

Step-by-step explanation:

cup of mayo used for 5 servings =  [tex]\frac{3}{4}[/tex]

cup of mayo used for 1 servings = [tex]\frac{3}{4}*\frac{1}{5}=\frac{3}{20}[/tex]

cup of mayo needed for 30 servings=  [tex]\frac{3}{20}*30=\frac{9}{2}[/tex]

pls answer i need help

Answers

Step-by-step explanation:

xcos60 = 5root3/3

1/2x = 5root3/3

x = 10root3/3

Choice C

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP when u answwer dont come bck tho

Answers

C

For negatives the higher the number the lower it is…

Answer:

i belive it is c. -5.4

Step-by-step explanation:

because as the temperature increases in the negative zone you are also decreasing the momentary value of that number so -3.4 is greater than -5.4 (facts)

Use a ruler and a protractor to determine
whether or not it is possible to draw a
triangle with a 75° angle, a 115° angle, and a
side of 4 inches between the two angles. If
so, draw the triangle. If not, explain why.

Answers

Answer:

It is not possible.

Step-by-step explanation:

The triangle is impossible to create because of the Triangle Angle Sum Therom, which states that all 3 angles in a triangle must = 180 degrees. As they haven given us 75 degrees, and 115 degrees 75+115=190 Which is more then 180, Hence it is not possible.

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