7.2.8 Scientists at the Hopkins Memorial Forest in western Mas- sachusetts have been collecting meteorological and environmen- tal data in the forest data for more than 100 years. In the past few years, sulfate content in water samples from Birch Brook has averaged 7.48 mg/L with a standard deviation of 1.60 mg/L. a. What is the standard error of the sulfate in a collection of 10 water samples

Answers

Answer 1

Answer:

The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.

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 error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation of 1.60 mg/L.

This means that [tex]\sigma = 1.6[/tex]

Collection of 10 samples:

This means that [tex]n = 10, s = \frac{1.6}{\sqrt{10}} = 0.506[/tex]

The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.


Related Questions

Turma:
Autor:
Frações e a Reta Numérica
Habilidade EF05MA03: Identificar e representar frações (menores e maiores que a unidade), associando-as ao resultado de uma divisão ou à ideia de parte de um todo, utilizando a reta numérica como recurso; Habilidade EF05MA04A: Identificar diferentes escritas nas representações fracionária e decimal com o apoio em representações gráficas, identificando as frações equivalentes.
08/02/21 - 6º ano do EFII - Matemática - Frações e a reta numérica

Aprendemos em nossa aula que podemos representar os números racionais na forma fracionária e decimal e que para transformar as frações em números decimais basta que façamos a divisão do numerador (número de cima) pelo denominador (número de baixo). Desta forma, entre os números racionais abaixo, assinale o que possui menor valor:
a) 0,95
b) 5/8
c) 3/15
d) 0,35
e) 4/5

Answers

E porque ya lo use y es facil

Please help !!!!!!!!!!!!!

Answers

Answer:

1) x= sqrt 98 = 7 sqrt 2

Step-by-step explanation:

help help help please ​

Answers

Answer:

the lines are perpendicular because they have the same slope so the correct answer would be c

Step-by-step explanation:

what are some applications of this knowledge to the workplace?​

Answers

Hi, you've asked an incomplete question. I provided some suggestions to help.

Explanation:

First, note that the term workplace refers to the location a person does his or her work. In modern times this location could be physical or virtual (a virtual workplace).

Thus, kindly note the kind of workplace you have in mind, then you could find resources that contain the sought-after applications to the workplace.

I need the answer, help me please

Answers

Perpendicular = opposite sign and reciprocal slope
Y = 3/2x + 1
The slope is 3/2, opposite sign = -3/2 now reciprocal = -2/3
Y = -2/3x + b
Plug in the point (6,-2)
-2 = -2/3(6) + b
-2 = -12/3 + b
-2 = -4 + b, b =2
Solution: y = -2/3x + 2
X=-0.6 or -2/3

Substitute y for 0

multiply both sides of the equation by 2
Move the variable to the left-hand side and change its sign

Divide both sides of the equation by -3

Which inequality is true? QUICK WHOEVER GETS IT GETS BRAINLIES or however you spell it

Answers

Answer:

D is correct

Step-by-step explanation:

as negatives grow bigger, the amount is smaller. Like if u owe somone $20, but u ask them for another $5, the number would be = -$25. so -3 1/2 is greater than -4.5

Solve the equation by completing the square. Round your solutions to the nearest hundredth if necessary. x^2+2x=5

Answers

Answer: The correct answers are -3.45 and 1.45

Step-by-step explanation: The only problem you had was you rounded it to the tenths place instead of the hundredths place.

Sorry for getting back to you late.

Determine the equation of the graph, and select the correct answer below.

Answers

9514 1404 393

Answer:

  (b)  y = (x +4)² -1

Step-by-step explanation:

The vertex form of the equation of a parabola is ...

  y = a(x -h)² +k . . . . . . . . . vertex (h, k); scale factor 'a'

The graph shows the vertex is (h, k) = (-4, -1) and a=1. Putting these values into the form, we have ...

  y =(x +4)² -1

Use GCF and the distributive property to write equivalent
expressions.
A) 6x + 9y
B)3c +11c

Answers

Answer:

Step-by-step explanation:

Greatest common factor of 6x and 9y is 3.

6x + 9y = 3(2x + 3y)

:::::

Greatest common factor of 3c and 11c is c.

3c + 11c = (3+11)c

a + b − _____ = a
help :)

Answers

Step-by-step explanation:

Subtract a from both sides

a-a+b-___=a-a

b-__=0

b=___

answer:b

Hope that helps :)

It's b. It's a + b - b = a.

What is the probability of flipping heads and rolling a six?

Answers

Hmmm if I have to say 50%

Anna bought textbooks and notebooks at the bookstore. The number of notebooks she bought was four
more than the number of textbooks. If the total number of notebooks she bought was 7, how many
textbooks were bought?

Answers

Answer:

3 textbooks

Step-by-step explanation:

Well 7 notebooks were brought.

She brought 4 more notebooks then textbooks.

7-4=3

Answer:

If Anna bought seven notebooks and the number of notebooks she bought was four more than textbooks, all you have to do it subtract four from seven to get three.

Step-by-step explanation:

7 - 4 = 3

An item on sale costs 85% of the original price. The original price was $33.
Use the ALEKS calculator to find the sale price.
?

Answers

Answer: 28.05

Step-by-step explanation:

On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $634.25. How many children and how many adults swam at the public pool that day?​

Answers

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

         -2a -     2c = -642

(+)       2a + 1.75c = 634.25

--------------------------------------

                 -0.25c = -7.75

Divide both sides by -0.25

c = 31

Use the first equation to find a.

a + c = 321

Substitute 31 for c.

a + 31 = 321

Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

120 children and 388 adults bought tickets for the swimming pool
Explanation:
Create two simultanous equations:
Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being
c
+
a
=
508
then, you now create a second equation for the prices of the tickets.
(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected
so:
1.75
c
+
2.25
a
=
1083.00

now we still know, that
a
=
508

c

so we can substitute it into the second formula
1.75
c
+
2.25
(
508

c
)
=
1083

now its just simple algebra
1.75
c
+
1143

2.25
c
=
1083

60
=
0.5
c
so:
c
=
120
now we know, that 120 children went to the swimming pool.
and we still have the formula from before:
a
=
508

c
so
a
=
388

Laurie needs at least 40 pounds of topsoil for a new flower bed. Each bag of topsoil is 200 ounces. Laurie determines that if she buys 3 bags of topsoil she will have enough for the flower bed. Is Laurie correct? Why or why not?
A.Laurie is not correct because the weight of 1 bag of topsoil is equivalent to only 10 pounds.

B.Laurie is correct because 200 ounces is more than 40 pounds.

C.Laurie is correct because the weight of 3 bags of topsoil is exactly 40 pounds.

D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

help i guess

Answers

The best answer to go with is b you’re welcome have a great day

I’ll mark as BRANLIEST!!

35 POINTS!!

- Determine whether each table or rule represents a linear or exponential function. Explain why or why not.

Answers

1 is exponential because the numbers, when multiplied together, do not make the same numbers

2 is exponential because of an exponent being the modified variable

3 is linear because it is just multiplication which is a simple pattern

Answer:

Definitions of gravitational force. (physics) the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. synonyms: gravitation, gravitational attraction, gravity.

o que significa 1E+76 ?????

Answers

Answer:

e means error at least when the number is higher than the computor can calculate or it is just a variable

Step-by-step explanation:

Find the area of each figure

Answers

Area of trapezoid = a + b/2 * h
a = 20, b = 9, h = 21/-16
20+9/2 * (21-16) = 29/2 * 5 = 72.5
The area of the trapezoid = 72.5 in^2

Area of the rectangle = l * w
l = 16, w = 20
16 * 20 = 320
The area of the rectangle: 320 in^2

Yukarıda verilen şekilde,
[LK // [NP, m(LMN) = 40°, m(KLM) = aº,
m(MNP) = bº ve b = a + 70°'dir.
Buna göre a kaç derecedir?
A) 30
B) 35
C) 60
D) 75

Answers

C, 60 hope this helps it helped me on my test

0.9, 0.99, 0.09, 0.91, from least to greatest

Answers

Answer:

0.09, 0.9, 0.91, 0.99

Step-by-step explanation:

Well I'm in 7th grade so I already know this stuff

Help plssssssssss I don’t wanna fail

Answers

Answer: 5:15 PM

Step-by-step explanation: All you need to do is add numbers together. Make sure to remember that there is 60 minutes in one hour :)

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours. Find the probability of a bulb lasting for at most 605 hours. Round your answer to four decimal places.

Answers

Answer:

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.

This means that [tex]\sigma = 15, \mu = 590[/tex]

Find the probability of a bulb lasting for at most 605 hours.

This is the pvalue of Z when X = 605. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{605 - 590}{15}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

PLS, HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF I KNOW ITS A VIREIS.
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.



Write a question that could be answered by solving the equation 10−0.035d=4.

Answers

Answer:

How many days will it take for the water to be 4m high?

Step-by-step explanation:

use the missing variable.

Help?
The circumference of a circle is 25 cm. Find the length of the radius

Answers

it’s around 3.979 cm

Answer:

3.99

Step-by-step explanation:

Divide circumference by pi. The answer will be the circles diameter and then divide this by 2 for the radius

Which of these graphs represents a function ?

Answers

Answer:

Graph C

Step-by-step explanation:

Each cube has 2-inch-long edges. What is the volume of the figure?

Answers

Answer:

8 inches (to the third power)

Step-by-step explanation:

The formula for the volume of a cube is V = s^3 (side to the third power)

So if we plug in '2' then we get our volume

2 * 2 * 2 = 8

I hope this helps !

Which of the following scenarios represents a possible impulse purchase?


Bryce researches interest rates on the purchase of a new car before deciding to make a purchase.

Bryce budgets for his first new car and decides to purchase a car through a dealership offering 0% interest to first-time buyers.

Bryce purchases the car of his dream by financing the entire cost of the car with a high interest bank loan.

Answers

Answer: Bryce purchases the car of his dream by financing the entire cost of the car with a high interest bank loan.

Step-by-step explanation: Please mark brainliest I am trying to level up

The formula for the volume of a cone is V =
3
bah
Solve V =
on for b, the base of the cone.

Answers

Answer:

oh thats easy thats 7

Step-by-step explanation:

i guess

There are 5 slices in the pizza. Wayne ate 2 slices of the pizza. What fraction of the pizza is left?

Answers

Answer:

3/5

Step-by-step explanation:

5/5 - 2/5 = 3/5

Answer: 3/5

If they are 5 and 2 were eaten, there are 3 left. You would put the amount left as the numerator over the denominator of total slices there were from the start. You cant simplify 3/5 down so it stays that way.

A game-show spinner has these odds of stopping on particular dollar values: 40% for $5, 25% for $100, 20% for $500, and 15% for $1000. What are the odds of a player winning $5 or $100?

Answers

Answer:

13÷ 23

Step-by-step explanation:

The computation of the odds of player winning is shown below;

For $5 it is 40%

And, for $100 it is 25%

so for total it is

= 40% + 25%

= 65%

And, the total percentage is 100%

So, the odds in favor is

65:100

13:20

Now for winning it would be 13÷ 23

Other Questions
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The points curve up.Based on the graphs, which type of model is likely appropriate for predicting weight from height?A linear model is appropriate because the graph of the transformed data is roughly linear.A power model is appropriate because the scatterplot of height versus weight appears curved.A power model could be appropriate because the scatterplot of log height versus log weight is roughly linear. The next step is to look at the residual plot.An exponential model is appropriate because the scatterplot of log height versus log weight has a stronger linear relationship than the scatterplot of the non-transformed data. Which of the following was NOT attributed to the Red Guards during the Cultural Revolution? A. enforcement of equal pay for equal work B. destruction of Chinese national treasures C. execution of intellectuals and political protesters D. persecution of unproductive farmers and workers Andy and Hershel folded the same- size square papers. 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Nosotros ___ muy contentos porque tenemos notas buenas! somos or estamos Can someone explain the answer Im lost List 3 reasons for why Mercutio continually "teases" Romeo about his love for Rosaline. What might Mercutio believe tobe true about Romeo's "love?" 1. What were three factors leading to war? 2. What two groups of nations developed? 3. How were the Serbians involved in the start of World War I? How did the natural resources affect the ancient empires in west Africa 9 Marty conducted a survey in his first period class to determine student preferences for music. Out of 25 students, 14 like hip-hop music best. There are 300 students in Marty's school. Based on the survey, how many students in the school like hip- hop music best? A. 50 students B. 132 students C. 168 students D. 261 students Which example best demonstrates the neoclassical style used in poetry during the age of reason? Comprehension: Identifying Facts Complete the sentences below using words from the Word Bank. 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