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

the length of rectangular park is 15 m longer than that of the park is 114m find it's length and breadth​

Answers

Answer: Length: ≈20.5 Breadth: ≈5.5

Step-by-step explanation: x(x+15)=114, solving for x we get 5.547 and 20.547.

please help me with this

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Answer:

8 nights

Step-by-step explanation:

MATH


Someone please help me!

Answers

Answer:

x^2+y^2=25

Step-by-step explanation:

bc x-0=x and ect.

Solve each equation by taking square roots NEED THIS ASAO WILL GIVE BRAINLIEST

Answers

1. m1 = -9, m2 = 9
2. x1 = -10, x2 = 10
3. n1 = -3, n2= 3
4. x1 = -2, x2 =2

Find the value of x. Round to the nearest degree.

Answers

Its not yet known. We need other numbers and letters!

What value of c makes x2 + 6x + c a perfect square trinomial?

3
6
9
12

Answers

9514 1404 393

Answer:

  (c)  9

Step-by-step explanation:

The square of a binomial has the form ...

  (x +a)² = x² +(2a)x +a²

You will note that the value of 'a' is half the coefficient of the x term (2a). The constant term is the square of the value of 'a'. This means the number you want is ...

  c = (6/2)² = 9

Answer:

9

Step-by-step explanation:

Which statement is accurate for the right triangle shown below?

50
1
a
47

Answers

Answer:

The statement that is accurate is csc(θ)=1.06

Step-by-step explanation:

Looking at the reference angle in this triangle, we can see that the side that is 47 units is opposite of it, the side that is 50 units is the hypotenuse, and the side that is 17 units is adjacent to it.

Because we know this, we can plug our sides into the formula for cscθ, secθ, and cotθ.

So:

cotθ=adjacent/opposite = 17/47= 0.36

cscθ=hypotenuse/opposite = 50/47=1.06

Now without even looking at the other statements, we can see that the second one is correct as cscθ=hypotenuse/opposite = 50/47=1.06

Therefore, the statement that is accurate is csc(θ)=1.06.

PLZ HELP ASAP 50 PTS (MATH) + Brainliest

1) Factor the trinomial. Show ALL work:
x2 − 5x + 6

2) Factor the polynomial using grouping. Show ALL work:
5x3-2x2+25x-10


3( Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2

4( Choose ONE of the following polynomial and factor completely, showing ALL work.
16x2 − 81
15x2 − 35
3x2 + 21x + 36

Answers

Answer:

x+3 and x+2( 5 x + 2 ) ( x 2 + 5 )9x^2+163x2 + 21x + 36

Step-by-step explanation:

x2 + 5x + 6

Let us try factorizing this polynomial using splitting the middle term method.

Factoring polynomials by splitting the middle term:

We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.

On solving this we obtain, a = 3 and b = 2

Thus, the above expression can be written as:

x2 + 5x + 6

= x2 + 3x + 2x + 6

= x(x + 3) + 2(x + 3)

= (x + 3)(x + 2)

Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.

For Step 1, you just want to find all combinations of two numbers that multiply together to be 56. Make sure you take negatives into account. Those pairs of numbers are:

 

(p, q, p+q)

(1, 56, 57)

(-1, -56, -57)

(2, 28, 30)

(-2, -28, -30)

(4, 14, 18)

(-4, -14, -18)

(7, 8, 15)

(-7, -8, -15)

 

Use those pairs of numbers and their sums to fill in the three columns of your table.

STEP 2   Look down your p+q column to find the pair of numbers that add up to equal to -15. That's (p, q) = (-7, -8).   STEP 3   Using the information from steps 1 and 2, you can factor the trinomial like this:   x2 - 15x + 56 = (x + p)(x + q) = (x - 7)(x - 8)   FOIL that back out if you'd like, to make sure the expressions are equivalent.  STEP 4   Hopefully, seeing steps 1 through 3 worked out will help you with step 4. Find all the pairs of numbers that multiply together to be 36 (1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, and all their negative equivalents), then figure out which pair has a sum of 12. That means you've found your p and q, and can factor the trinomial as (x + p)(x + q).

Answer:

1) Factor the trinomial. Show ALL work:

(x-2)(x-3) steps see explanation

2) Factor the polynomial using grouping.

Group and factor out the greatest common factor (GCF), then combine.

[tex](5x-2) (x^{2} +5)[/tex]

4) Choose ONE of the following polynomial and factor completely.

15x2 − 35 = [tex]5 (3x^2-7)[/tex]

Step-by-step explanation:

x2−5x+6

The middle number is -5 and the last number is 6.

Factoring means we want something like

(x+_)(x+_)

We need two numbers that

Add together to get -5

Multiply together to get 6

Try -2 and -3:

-2+-3 = -5

-2*-3 = 6

Fill in the blanks in

(x+_)(x+_)

with -2 and -3 to get...

(x-2)(x-3)

4( Choose ONE of the following polynomial and factor completely,

15x^2-35

35 as 5*7

15 as 5*3

= 5*3x^2-5*7

I have four bags of small chocolate
eggs, with each bag containing an equal
number of eggs and weighing 0.36kg
I hide the eggs in the garden
24 children search for the eggs and each
finds 3 eggs. They found all of the eggs
How much does
each egg weigh
in grams?​

Answers

20 grams

Step-by-step explanation:

24× 3 = 72 eggs then convert kg to grams 0.36 × 1000 = 360 grams × 4 = 1440 grams after that 1440 ÷ 72 = 20 grams

Answer:

total number of eggs = 3×24= 72eggs

number of eggs in each bag = 72/4=18 eggs

Each egg will weigh, 0.36/18

= 0.02kg

= 0.02×1000

=20g

URGENT WILL GIVE BRAINLIEST!!!!

Answers

Answer:

7/10

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

There is a total of ten numbers, and only seven of them are odd numbers (1, 3, 7, 9, 15, 19, 21)

You have a 70% chance of picking an odd number.

Which graph represents an exponential function?

Answers

The second one. The graph grows as x approaches infinity, without touching the origin.

PLSS help me ☝............

Answers

Answer:

New Coordinates: G'(0,4) Y'(3,3) M(3,7)

Movement: Translation 3 units up

Step-by-step explanation:

Since you're adding to the y-coordinate, your points will move up which makes this a translation

A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink
marbles.
What is P(not yellow)?
A 1/5 B 2/5 C 4/5

Answers

Answer: c 4/5

Step-by-step explanation: out of 5 only four are chosen leaving us with an answer of 4/5 :D hope it helped

Write and solve an equation for the following.

Four more than one-half a number is three. What is the number?

Answers

Answer:

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

Step-by-step explanation:

4 + [tex]\frac{1}{2}[/tex]x = 3 (subtract 4 from both sides)

[tex]\frac{1}{2}[/tex]x = -1 (multiply both sides by 2)

x = -2

Answer:

4+ 1/2 x = 3

Step-by-step explanation:

X =-2

A) 9)___ + 7) = 18 + 63 B) ___(12 + 9) + 36 + 27 C) 8(___+7) = 24 + 56 D) ___(5 + 8) + 20 +32

Answers

Answer:

A) 9(2+7)

B) 3(12+9

C) 8(3+7)

D)4(5+8)

Step-by-step explanation:

A)

9*(x+7) = 18+63

9*(x+7) = 81

81/9 = x+7

9 = x+7

x = 2

B)

x*(12+9) = 36+27

x*(12+9) = 63

x*21 = 63

x = 63/21

x = 3

C)

8*(x+7) = 24+56

8*(x+7) = 80

x+7 = 80/8

x+7 = 10

x = 3

D)

x*(5+8) = 20+32

x*13 = 52

x = 52/13

x = 4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Need help on em punett sqaures

Answers

Answer:

Black Fur: 100%    White Fur: 0%

Step-by-step explanation:

    B     B

b  Bb  Bb              (all dominant)

b  Bb  Bb

Black Fur: 100%  White Fur: 0%

Answer:

B B

______

b | Bb | Bb |

b | Bb | Bb |

_____

Phenotype Probability (%):

Black Fur: 100%

White Fur: 0%

_____________________

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Fatoumata sets up a website where players
can buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
126 visitors purchased no costume.
228 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a decimal to the nearest hundredth.
Mk

Answers

Answer: 0.59

Step-by-step explanation:

The probability that the next person will purchase exactly one costume is 0.59.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of visitors = 126+228+34 = 388

Total number of visitors who purchased exactly one costume = 228

The probability = 228/388 = 0.587 ≈ 0.59

Thus, the probability that the next person will purchase exactly one costume is 0.59.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

What is the value of the expression (25-7)x2 divided by 4+2

Answers

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

[tex]\mathsf{\dfrac{(25-7)(2)}{4}+2}[/tex]

[tex]\mathsf{25-7=\bf 18}[/tex]

[tex]\mathsf{\dfrac{\bold{18}(2)}{4}+2}[/tex]

[tex]\mathsf{18(2)= \bf 36}[/tex]

[tex]\mathsf{\dfrac{\bold{36}}{4}+2}[/tex]

[tex]\mathsf{\dfrac{36}{4}=\bf 9}[/tex]

[tex]\mathsf{\bold{9}+2 }[/tex]

[tex]\bold{= 11}[/tex]

[tex]\boxed{\large\textsf{Possible answer \#1: \bf 11 }}\huge\checkmark[/tex]

[tex]\huge\text{OR....}[/tex]

[tex]\mathsf{\dfrac{(25-7)(2)}{4+2}}[/tex]

[tex]\mathsf{25-7=\bf 18}[/tex]

[tex]\mathsf{\dfrac{\bold{18}(2)}{4+2}}[/tex]

[tex]\mathsf{18(2)=\bf 36}[/tex]

[tex]\mathsf{\dfrac{\bold{36}}{4+2}}[/tex]

[tex]\mathsf{4+2= \bf 6}[/tex]

[tex]\mathsf{\dfrac{36}{\bold{6}}}[/tex]

[tex]\mathsf{\bf = 6}[/tex]

[tex]\boxed{\large\textsf{Possible answer \# 2: \bf 6}}\huge\checkmark[/tex]

[tex]\boxed{\boxed{\large\text{{Answer(s): \bf Answer \#1: 11 OR Answer \#2: 6}}}}\huge\checkmark[/tex]

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

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

How to make a triangle and 2 trapezoids out of a triangle

Answers

Answer:

Draw two lines inside the triangle.

Step-by-step explanation:

Like in the Attachment

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer: The answer is 4 pieces of chalk

Answer:

7 chalks

Step-by-step explanation:

7 crosses are above numbers that are higher than 5

Arthur earned $22.50 last night delivering lunches for his family's restaurant. He puts 30% of his earnings into his savings account. he then bought a magazine for $3.95 and a CD for $11.49. of the amount earned last night, how much money does arthur have left that is not in his savings account​

Answers

Answer:

$4.26

Step-by-step explanation:

The radius of a circle is 16 cm. Find its area in terms of \piπ

Answers

Answer256pi

Step-by-step explanation:

Area=pi*r^2

=pi*16^2

256pi

What is the area of the triangle? 13 5 12 ​

Answers

Answer:29

Step-by-step explanation:

Solve this question for brainlest

Answers

Answer:

multiply is your answer

mark brainliest please :D

It is reported that 56% of a state is experiencing drought conditions. An agricultural researcher randomly selects ten farmers in the state and asks if their farms are experiencing drought. What is the expected number of farmers who have experienced drought? Find the standard deviation.

Answers

Answer:

I think your answer would be 5.6

Step-by-step explanation:

56% of 10 = 5.6

what is 1000x45 how do i get the anwser

Answers

Answer:

45000

Step-by-step explanation:

put the equation like this

     1000

   x      45

And multiple form right to left or just take 45 and add 3 0's because anything multiplied by 1 is what number u multiplied it by

Answer:45000

Step-by-step explanation:

so you know that 10x45=450 just add 2 more zeros and thats ur answer may i be marked brainliest

Matt is baking cookies.

He uses butter, sugar and flour in a ratio of 2 : 3 : 4

Matt uses 300 g of flour.

How much sugar does he use?

Answers

I am certain it is

200g butter
300g flour
400g sugar

Plzzzzz answer. Will give brainliest

Answers

Area of square = (2x-3)^2

Area = 2x-3 x 2x-3

Area = 4x^2 -6x -6x +9

Area = 4x^2 -12x + 9

Area of ovals = x-5 + x-5 = 2x-10

Area of square - area of ovals:

4x^2  - 12x +9 - 2x -10

4x^2 -14x +19 square units

One number is seven more than four times another number. If the sum of the numbers is 22, find the numbers.

Answers

Answer:

the answer is actually study and you would know

Step-by-step explanation:

Answer:

3 and 19

Step-by-step explanation:

Please solve the question with steps.

Answers

9514 1404 393

Answer:

  c.  x + 6

Step-by-step explanation:

The factorization is ...

  x(x -3)(x -6)

The factor on the list that is not part of the above expression is (x +6).

_____

More detail

Factoring x from each term gives ...

  x(x^2 -9x +18)

Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).

  = x(x -3)(x -6)

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