An article describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4. Find the mean and standard deviation of the sample mean SiO2 content in a random sample of 10 rocks. Round the mean to two decimal places. Mean Standard deviation

Answers

Answer 1

Answer:

The mean is 40.35 and the standard deviation is 0.13.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.

Sample of 10:

By the Central Limit Theorem, the mean is 40.35, and the standard deviation is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{10}} = 0.13[/tex]

The mean is 40.35 and the standard deviation is 0.13.


Related Questions

Solve the equation: p2 - 4p + 4 = 0.​

Answers

Perfect square trinomial

[tex] \boxed{ a^2 \pm 2ab+b^2 = (a \pm b)^2 } [/tex]

Using the perfect square trinomial

[tex] p^2 - 4p + 4 = 0 [/tex]

[tex] p^2 - 2(2p) + (2)^2 = 0 [/tex]

[tex] (p-2)^2 = 0 [/tex]

[tex] (p-2) = 0 [/tex]

[tex] p = 2 [/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\bold{p^2-4p+4=0}[/tex]

[tex]\text{FACTOR the LEFT side of your equation}\\\bold{(p-2)(p-2)=0}[/tex]

[tex]\text{SET each of your FACTORS TO EQUAL to 0}\\\bold{p-2=0\ or\ p-2=0}[/tex]

[tex]\text{SIMPLIFY the equations\ above and you will have your answer}[/tex]

[tex]\boxed{\boxed{\bold{Answer: \large\text{\bf{p = 2}}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

4/5 ÷ 2/5 = ?????????​

Answers

Answer:

2

Step-by-step explanation:

4/5 divided by 2/5 is equal to

4/5 * 5/2

thats 20/10

thats 2

BRANLIEST PLSSSSSSSSS

sin(30)=1
the solution set is{}?

Answers

Answer:

.5

Step-by-step explanation:

sin30 = 0.5 when multiplied by 1 it stays the same

David had a coupon for the grocery store. He graphed on the x-axis what his total bill would be if he didn’t use the coupon and graphed on the y-axis what his total bill would be if he used the coupon.

Grocery Bill
A graph has bill without coupon on the x-axis and bill with coupon on the y-axis. A line goes through points (2, 0) and (3, 1).

Based on the information in the graph, if David’s bill came to $66 after the coupon was applied, how much would his bill have been if he hadn’t used the coupon?
$64
$65
$67
$68
I will give brainliest

Answers

Answer:

68$ Is your answer

Step-by-step explanation:

Hope this helps

Answer:

d or $68

Step-by-step explanation:

It is possible, through careful consideration of economic principles and interactions, to reach a state of equilibrium in practice.


Please select the best answer from the choices provided

T
F

Answers

Answer: False

Step-by-step explanation:

Economic equilibrium simply refers to a scenario where the economic forces are equal and balanced. It is the condition whereby the demand and the supply of goods and services are equal.

We should note that economic equilibrium is only theoretical. In reality, this isn't true as the market doesn't reach equilibrium, Eben though it moves towards it.

Therefore, the statement in the question is false.

Answer:

False

Step-by-step explanation:

What percent of 50 is 10?

Answers

Answer: 20%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

50 x .8 = 40

50 -40 =10

plz mark me brainliest

3. Find the value of x.
Need help will mark Brainliest

Answers

Answer:

x=22

Step-by-step explanation:

trust me

4x-5=13x-2

I’m stuck on this problem

Answers

Answer:

simple answer  x = - 1/3

Step-by-step explanation:

hope this is helpful.

Hope this helps 4x-5=13x-2

Latoya's softball team won 75%, or 18, of its game. Define a variable. Write and solve an equations to determine the number of games the team played.
Will give brainliest

Answers

75%=18
100%=?
If you divide 18 by 3=6
So 6 =25%
So 25%+75%=100%
Therefore
6+18=24=100%

So an equation would look like.
(18dividedby3)4=n
Good luck!

Answer:

18 / 3 * 4 = a

a = 24

Step-by-step explanation:

so we know that 18 is = to %75 but we need to know what %100 is, to figure this out lets find a common denominator

so we know that %75 of something is 3/4, and to double check, we can take the fraction 3/4 and divide it the way its written, bc thats what a fraction is, a small division problem

3 / 4 = 0.75 or 75/100 or %75

so now we know we have 3 out of 4 parts of something, to find out how big each part is, we divide the number (18) by how many pieces we have...

18 / 3 = 6

so each 1/4 is = to 6, now to figure out the whole, we multiply by how many pieces are in said whole, in this case by 4

6 * 4 = 24

so since we know that 6 is = to %25 and we multiplied 6 by 4, we can do the same to %25...

25 * 4 = 100

and have the whole

this is basically a detailed explanation of the other answer

hope this helps :)

how do you describe the graph of |x| < 12 brainly

Answers

Answer:

Describe the two functions f(x) and g(x) , using the terms increasing, decreasing, maxima and minima. The graph of f(x) is periodic.

Answer:

Step-by-step explanation:


2. Find the product using any property 4x7649x25.

Answers

Answer:

764900

Step-by-step explanation:

25x4 = 100

7649x100 = 764900

expand the following expression by using the distributive method 7(10-3x))

Answers

Answer:

Step-by-step explanation:

7(10)-7(3x)

80-21x

Answer:

70+21x

Step-by-step explanation:

multiply the number  that outside on the (    ) for the numbers that are in side

Stores often mark up items each year to cover inflation.
Last year, a CD at Juan's Tunes cost $12.95. This year,
the cost was marked up 8%. The store also gave anyone
who bought four CDs this
year a 10% discount. Explain
the steps to find the final cost for the four CDs this year.

Answers

Answer:

so you have $12.95. then you multiply it by 8% which gives you $13.986. Then you take 10% off of it, which gives you $12.5874.

Answer:

The new price would be 108% of last year’s price. Multiply the new price by 4 and then multiply that amount by 90% to find the sale price.

Step-by-step explanation:

sample response

Suppose you had $6.00 to buy bananas and apples. Bananas cost $0.49 per pound and apples cost $0.34 per pound. Write a linear equation that represents the different amounts of fruit you could buy.​

Answers

Answer:

ok

Step-by-step explanation:

ok ok ok ok ok ok ok ok

if the cube was Rolled 78 x and the nine appears 26 times what was the experimental probability of rolling a 9​

Answers

Answer:

1/3 = 0.3333 = 33.33% experimental probability of rolling a 9​.

Step-by-step explanation:

The experimental probability is given by the number of desired outcomes divided by the number of total outcomes, after a number of experiments is made.

In this question:

Cube rolled 78 times.

9 appeared 26 times

26/78 = 1/3 = 0.3333 = 33.33% experimental probability of rolling a 9​.

3
Choose all the expressions that are equal to
A.
8
15
5
11
B.
7
12
+
6
C. 5
6
-
1
12
D.
5. 1+
E.
7
20
3
5

Answers

Answer:

the answers (D)

Step-by-step explanation:

Please help ASAP! please and thank you!! Have a great and blessed day!

Answers

Answer:

1. ACE 2. No  Yes No Yes No

Step-by-step explanation:

There you go :)

Find the value of the discriminant of the following equation 10x² + x = 1.​

Answers

Answer:

41

Step-by-step explanation:

as discriminant  is b^2 -4ac

b= 1

a= 10

c = -1

then

1^2 - (4*10*-1) =  1 - (-40) = 1 + 40 = 41

Hhsudhsbd bdgehdhudhehsidbdjbdidbd is sibeidbdibbbdid

A car manufacturer announced that next year the price of a certain model car would increase by 3.5%. This year the price is $15,649 . The increase in the price of the car is $? The new price of the car is $?

Answers

The increase will be the original price x the increase rate.

15649 x 0.035 = $547.72

The new price would be original price + increase

15649 + 547.72 = $16,196.72

give the name monomial, binomial, trinomial and the degree of the polynomial
x.

Answers

Answer:

Name: monomial

Degree: 1

Step-by-step explanation:

Name: monomial

Degree: 1

Step-by-step explanation:

x = Monomial (Since x is only 1 term)

Degree = 1

PLEASE HELP ME PLSSSSS!!! The question is on the photo!!!

Answers

Answer:

unit of cubes in a three dimension figure

Apples and tangerines were sold in the ratio of 6 to 4.
40
tangerines were sold. How many fruits were sold?

Answers

Answer:

100.

Step-by-step explanation:

By proportion the number of apples sold  is (6/4) * 40

= 6 *10

= 60.

Total fruit = 40 + 60 = 100.

The answer would be 100 fruits were sold. 40+6(10)= 100

Given that 6x – 7y = 22
Find y when x = -1
y =

Answers

Answer:

y = -4

Step-by-step explanation:

given x = -1

6x - 7y = 22

6(-1) -7y = 22

-6 - 7y = 22

-7y = 22 + 6

-7y = 28

y = -4

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

Which polynomial represents the quotient for the division problem shown?
-1
3
-4
-3
-7
2
7
9
-1
-9
-10
3
3
O A. 3.x2 – 7x+9
O B. - 3x² + 7x – 9
O C. 3.rº – 7x2 + 9x - 10
O D. 3.x® – 4x + 2x - 1

Answers

Answer:

It's A

Step-by-step explanation:

-10 is the reminder and is not included in the quotient which is the bottom numbers.

CAN SOME PLEASE HELP ITS AN I EMERGENCY

Answers

Answer:

C=2πr=2·π·7.5≈47.12389

Answer:

94.247780 cm is the circumference of the circle

Step-by-step explanation:

Hope this helps

how many eighth notes are in a sixteenth note

Answers

Answer:

two sixteenth notes

Step-by-step explanation:

Answer:

1/2 of an eighth notes are in a sixteenth note

Step-by-step explanation:

2 sixteens = 1 eight

good luck, hope this helps :)

WHAT I CAN DO
Activity 4: Solve the following problem.
1. Ellen has 2 chicken eggs and 3 quail eggs in a tray. What is the ratio of quail eggs
to chicken eggs?
2. A basket contains 75 mangoes. What is the ratio of the basket to the total
number of mangoes?
3. Kris bought 2 pairs of shoes and 5 pairs of socks. What is the ratio of shoes to
socks?
4. Rina planted 15 tomato seedlings and 20 pechay seedlings. What is the ratio of
pechay seedlings to tomato seedlings?
5. What is the ratio of vowel letters to consonant letters in your full name?​

Answers

Answer:

1. 3:2

2. 1:75

3. 2:5

4. 20:15 or 4:3

5. count the vowel letters and consonant letters of your full name then write it according to the ratio of the numbers of vowel and consonant letters

Can help find the answer , what the increasing interval and decreasing interval. In interval notations?

Answers

Answer:

increasing on intervals

Step-by-step explanation:

cause the intervals come from a negative 2 aNd are going upwards in which the become positive

hope I helped

Which of these inequalities are equivalent to r > -11? Check all that apply.
-r < 11
3r < -33
3r > -33
-3r < 33
-3r > 33

Answers

1st one: (does apply)
-r < 11

-r / -1 > 11/-1

r > 11


2nd one: (doesn’t)
3r < -33

3r/3 < -33/3

r < -11


3rd one: (does)
3r > -33

3r/3 > -33/3

r > -11


4th one: (does)
-3r < 33

-3r/-3 > 33/-3

r > -11


5th one: (doesn’t)
-3r > 33

-3r/-3 < 33/-3

r < -11

Answer:

iits A,C,D

Step-by-step explanation:

4k+1/2-2

Can Anyone help me

Answers

Answer:

4k-2/3

Step-by-step explanation:

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A garden table and a bench cost $978 combined. The garden table costs $78 more than the bench. What is the cost of the bench? In her article, the author intends to show that future funding of an ELT program in Andover is uncertain. Explain how the text supports this idea about the uncertain future of ELT in the town. Use at least two details from the text to support your answer What is the cell process of a vacuole? Which of the sentences below is correctly punctuated?A.The second chapter in Abagnales book The Art of the Steal is Looking for Mr. Goodcheck.B.The second chapter in Abagnales book The Art of the Steal is Looking for Mr. Goodcheck.C.The second chapter in Abagnales book The Art of the Steal is Looking for Mr. Goodcheck.D.The second chapter in Abagnales book The Art of the Steal is Looking for Mr. Goodcheck. Use the diagram and the information given to find the indicated measure: 1. ZX is the perpendicular axis of WY, yYZ = 13.75. Find the value of WZ. 2. ZX is the perpendicular axis of WY, WZ = 4n 13, and YZ = n + 17. Find the value of AND Z. 3. Find the value of WX when W Z = 20.5, W Y = 14.8, and Y Z = 20.5 When it comes to latent print deposits for fingerprints, what are the two categories of surfaces? Provide at least one example of each category. pls help will mark branliest 1) A snake has a density of 12 g per cm and amass of 3000 g. What is its volume in cm'? How would keeping shredded cheese and chopped onion in the freezer help with food preparation? Divide.68, 302 divided by 1,000Enter the exact quotient. help , with steps , otherwise I will report !!!the diameter of rectangular box are in the ratio 2:3:4 and difference between the cost of covering with sheet of paper at the rate of 4 and 4.50 per m is 416 . Find the dimension of box . Which is the correct form of the partial fraction decomposition for StartFraction x + 9 Over x squared minus 4 EndFraction? What is the slope of the line than contains (4, -1) and (3, 3) What skills do you think an aircraft engineer would need to have? ZN + HCI > ZnCI2+ H2what is the reaction and is it balanced? How did people justify the system of slavery in the United States? Priyanka drives at 45km/h and reaches Delhi in 5 hours.What time will she take to complete the same journey if she increases her speed by 5km/h ? Factor 3x^2 - 2x - 1 ok what do cows drink??? this is a trick question let me know what you think ;} Please help now!! DUE SOON Use text to answer questions Questions--Where was Palestine? -Who controlled Palestine in the age of Jesus? -Palestine was described as a powder keg. What does this mean?-Who were the Zealots? What did they believe?TextAt the time of Jesus, the area of what is today Israel, was controlled by Rome. It was known as Palestine back then and was the area around the eastern Mediterranean Sea.This was called Palestine and it was a "powder keg." Generally speaking, the people of Palestine were not happy with Roman rule. Jewish revolts against Rome were common place. Many people believed in the coming of the "messiah."There were two groups who were very influential in Palestine at this time:ZEALOTS: Led by Judas of Galilee, the Zealots sought to rid Palestine of the Romans. They refused to pay taxes and often battled with Roman soldiers, sometimes killing innocent people in the process.THE APOCALYPTIC MOVEMENT: This was a widespread belief in first century Palestine that the coming of the Messiah is near. As the ravages of war and revolt became widespread, any people started claiming to be the Messiah---hundreds, if not thousands of messiahs appeared in Palestine between 100 BCE and 100 CE. Some believed that Judas of Galilee was the Messiah. In addition, Anthronges was a shepherd who led a rebellion against king Herod. He was also seen as a Messiah by some. And then, of course, there emerged a man known only as Jesus of Nazareth."