Mercury is a heavy metal that can cause severe health problems in even small concentrations. Fish and shellfish efficiently concentrate mercury into their flesh, so it is important to monitor seafood for its mercury content. An extensive study conducted in 1980 concluded that the mean mercury level in oysters from the White Bear estuary was 0.020 parts per million (ppm) with a standard deviation ppm. In 2012, a sample of 40 oysters from the same estuary exhibited a mean mercury concentration of . Can you conclude that the 2012 mercury concentration is lower than in 1980? Use the level of significance.

Answers

Answer 1

Answer:

The overview of the problem is listed in the segment below on the explanation.

Step-by-step explanation:

The given values are:

Sample mean, [tex]\bar{Z}=0.017[/tex]

The hypothesized mean value, [tex]\mu_{0}=0.02[/tex]

Population standard deviation, [tex]\sigma=0.036[/tex]

As we know, the status of the test is as follows:

⇒  [tex]z^* = \frac{\bar X - \mu_0}{\frac{\sigma}{\sqrt{n}}}[/tex]

On putting the values, we get

⇒       [tex]= \frac{0.017 - 0.02}{\frac{0.036}{\sqrt{40}}}[/tex]

⇒       [tex]=-0.5357[/tex]

Now, even though this is a one-sided check, here so the p-value is measured as:

[tex]p=P(Z<-0.5357)[/tex]

  [tex]=0.2[/tex]

Consequently p-value > 0.05 the check isn't relevant so there is no data to suggest that perhaps the concentration of mercury fallen from 1980 until 2012.  


Related Questions

What steps should be used to find 55% of 300? Check
all that apply.
ger

Answers

Answer:

100x3=100  55x3=the answer    55x3=165 students   165 6th graders have a younger sibling.

 

Step-by-step explanation:

i did the assignment

55 percent of 300 is equal to 165.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Given,

55% of 300

55% can be written as fraction 55/100

= (55/100) × 300

Dividing 300 by 100

= 55 × 3

Multiplying

= 165

Hence, 165 is 55 percent of 300.

Learn more about percentage here:

https://brainly.com/question/24159063

#SPJ5

1+4=5
2+5=12
3+6=21
8+11=?

Answers

Answer:40

Step-by-step explanation:

21+8=29

29+11=40

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

D. Vertx: (3,-16); Intercepts: x = -1, 7

Step-by-step explanation:

I graphed the equation on the graph below.

Fernando factored 45y^6 as (9y^3)(5y^3).

Salma factored 45y as (3y)(15y^5).

Which of them factored 45y^6 correctly?

Answers

Answer:

They both factored it correctly

Step-by-step explanation:

To find the one that was factored correctly, we expand the two of them and compare with [tex]45y^6[/tex].

Fernando

[tex](9y^3)(5y^3)[/tex]

= [tex]9 * 5 * y^3 * y^3[/tex]

= [tex]45y^6[/tex]

Salma

[tex](3y)(15y^5)[/tex]

= [tex]3 * 15 * y * y^5[/tex]

= [tex]45y^6[/tex]

As we can see, they both factored it correctly.

Answer:

both are correct in their factoring

Step-by-step explanation:

A coin is tossed and a fourth section spinner is spun once a tree diagram shows the possible outcomes for the two events what is the probability of flipping tails on a coin and spinning a two on the spinner

Answers

Answer:

2/6 or 1/3 I think

Step-by-step explanation:

you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.

therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.

A bag contains 10 red marbles and 5 blue marbles. What is the probability of choosing 2 red marbles without replacing the first?

Answers

Answer:

i think 5 percent but dont trust me xDDD

Step-by-step explanation:

The box plot show the weights, in pounds, of the dogs in two different animal shelters.



Which correctly compares the ranges of the data?

• The range shelter A in 11, and the range in shelter B is 4.
• The range in shelter A is 20, and the range in shelter B is 10.
• The range in shelter A is 13, and the range in shelter B is 8.
• The range in shelter A is 22, and the range in shelter B is 18.

Answers

Answer:

The range in shelter A is 22, and the range in shelter B is 18.

Subtract 8 from 30 shelter A which gives you 22. Then subtract 10 from 28 which gives you 18 for Shelter B.

Answer:

The range in shelter A is 22, and the range in shelter B is 18.

Subtract 8 from 30 shelter A which gives you 22. Then subtract 10 from 28 which gives you 18 for Shelter B.

Step-by-step explanation:

What is 3/4 - 1/2
Please help

Answers

Answer:

1/4

Step-by-step explanation:

1/2 is also equal to 2/4 since 2 is half of 4 so 3/4 minus 2/4 will get you 1/4

Please give brainliest :3

Answer:

1/4

Step-by-step explanation:

3/4 - 1/2

Get a common denominator

3/4 -1/2*2/2

3/4 - 2/4

1/4

the radius of 2 spheres are 4 and 12. find the scale factor of the surface areas

Answers

Answer:

~ Surface Area 1 = 9 * Surface Area 2 ~

Step-by-step explanation:

Let us look through this problem step by step;

1. The formula to determine the surface area of a sphere is 4πr^2

2. Here we can see that the difference between the two radii of the spheres is that one is 3 times greater than the other

3. So if you were to think about it, in this surface area formula if the radii is squared, the difference between the two surface areas would also be squared. That means that the difference between the surface areas is 3^2, or 9 times the other.

4. This would mean the scale factor to be that one of the spheres surface area is 9 times the other ( Surface Area 1 = 9 * Surface Area 2)

You roll a number cube numbered from 1 to 6. What is the probability that the number is 3?

Answers

Answer:

1/6

Step-by-step explanation:

because there is only one number 3 there is a 1/6 chance of you getting a 3

A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction)
(StartFraction 1 over 52 EndFraction) (StartFraction 1 over 51 EndFraction) (StartFraction 1 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 51 EndFraction) (StartFraction 4 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 3 over 51 EndFraction) (StartFraction 2 over 50 EndFraction)

Answers

Answer:

The answer is A

Step-by-step explanation:

Edg : )

Answer:

A

Step-by-step explanation:

Which set of numbers is included in the solution set of the compound inequality? {–7, 5, 18, 24, 32} {–9, 7, 15, 22, 26} {16, 17, 22, 23, 24} {18, 19, 20, 21, 22}

Answers

Answer:

{-7,5,18,24,32}

Step-by-step explanation:

Let's verify all cases to determine the solution to the problem.

CASE A) we have

-9,7,15,22,26

The number 22 is not included in the solution set of the compound inequality.

CASE B) we have

-7,5,18,24,32

The number 22 is not included in the solution set of the compound inequality.

CASE C) we have

16,17,22,23,24

The number 22 is not included in the solution set of the compound inequality.

CASE D) we have

18,19,20,21,22

The numbers 19,20,21,22 are not included in the solution set of the compound inequality.

The answer to your question would be A

Suppose a 3x6 coefficient matrix for a system has three pivot columns. Is the system​ consistent? Why or why​ not? Choose the correct answer below. A. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented​ matrix, which will have seven ​columns, could have a row of the form [Start 1 By 7 Matrix 1st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 6st Column 0 7st Column 1 EndMatrix ]​, so the system could be inconsistent. B. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented​ matrix, which will have seven ​columns, must have a row of the form [Start 1 By 7 Matrix 1st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 6st Column 0 7st Column 1 EndMatrix ]​, so the system is inconsistent. C. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have seven columns and will not have a row of the form [Start 1 By 7 Matrix 1st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 6st Column 0 7st Column 1 EndMatrix ]​, so the system is consiste

Answers

Answer:

Check the explanation

Step-by-step explanation:

All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.

Factor Polynomial
3y^2+y-14

Answers

Answer:

Factored Form: ( y - 2 )( 3y + 7 )

Step-by-step explanation:

1. Let us first write down the problem at hand: 3y^2 + y - 14

2. Now let us break this expression into groups:  

3y^2 - 6y + 7y - 14  ⇒ ( 3y^2 - 6y )( 7y - 14 )

3. Factor 3y from 3y^2 - 6y:

3y^2 - 6y ⇒ 3y( y - 2 )

4. Factor 7 from 7y - 14:

7y - 14 ⇒ 7( y - 2 )

5. Substitute Step #3, 4 ⇒ Step #2:

3y( y - 2 ) + 7( y - 2 )

6. Factor common term y - 2:

Answer: ( y - 2 )( 3y + 7 )

What is the meaning of life

Answers

Answer:

The answer of life is 42 just look it up

1
2
5
6
7
A six-sided number cube is rolled twice.
What is the probability that the first roll is an even number and the second roll is a number greater than 4?
1
6
1
3
2
3
5
6​

Answers

Answer:

1/6

Step-by-step explanation:

3/6 for even 3/6*2/6-----1/2*1/3

The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the contract specifications, 5 percent of the items shipped can be defective. If the inspectors find 1 or fewer defects in the sample of 10, they ship the batch without further inspection. If they find 2 or more, the entire batch is inspected.
(A) Based on this sampling plan, the probability that a batch that meets the contract requirements will be shipped without further inspection is approximately___________.

Answers

Answer:

0.9138 = 91.38%

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10 items

This means that [tex]n = 10[/tex]

5 percent of the items shipped can be defective.

This means that [tex]p = 0.05[/tex]

Probability that a batch that meets the contract requirements will be shipped without further inspection

Probability of 1 or fewer defects.

So

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987[/tex]

[tex]P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138[/tex]

So the answer is:

0.9138 = 91.38%

Answer:

The answer is 0.9138

Step-by-step explanation:

This is a question of Binomial Probability Combination and the formula that will be used in this question is:

[tex]P(x) = nCx * p^{x} * q^{n - x}[/tex]

Where,

n ⇒ Finite sample number, here it is equal to 10p ⇒ Success, here it is equal to 5% defective or [tex]\frac{5}{100} = 0.05[/tex] q ⇒ Failure, here it is equal to (1 - p) i.e. [tex]q = 1 - \frac{5}{100} = 0.95[/tex][tex]x[/tex] ⇒ Number of defective products

Now, in order to to pass inspection and be shipped [tex]x[/tex] needs to be equal to '0' or '1'.

So,

Putting [tex]x = 0[/tex] in the formula along with the values mentioned above we get

[tex]P(0) = 10C0 * 0.05^{0} * 0.95^{10 - 0}[/tex]

[tex]P(0) = 1 * 1 * 0.5987[/tex]

[tex]P(0) = 0.5987[/tex]

Similarly,

Putting [tex]x = 1[/tex] in the formula along with the values mentioned in the bullets above we get

[tex]P(1) = 10C1 * 0.05^{1} * 0.95^{10 - 1}[/tex]

[tex]P(1) = 10 * 0.05 * 0.6302[/tex]

[tex]P(1) = 0.3151[/tex]

Now, in order to get the actual probability we need to add [tex]P(0)[/tex] and [tex]P(1)[/tex] because there is a chance that either there is no defective product or there is 1 defective in the shipped-batch from which sample was taken. Hence,

[tex]P(0) + P(1) = 0.5987 + 0.3151[/tex]

= 0.9138 (Answer)

-7 2/3 +(-5 I/2) + 8 3/4=

Answers

Answer:-53/12

Step-by-step explanation:

-7 2/3+(-5 1/2)+8 3/4

-7 2/3-5 1/2+8 3/4

-23/3 - 11/2 + 35/4

(4x-23 - 6x11 + 3x35)/12

(-92-66+105)/12=-53/12


Find the surface area of the polyhedron below. The area of each base is 65 cm^2

Answers

Answer:

D. 290 square cm

Step-by-step explanation:

Surface area of polyhedron

[tex]= 2 \times 65 + 7 \times 8 + 4 \times 8 + 3 \times 8 + 3(2 \times 8) \\ = 130 + 56 + 32 + 24 + 48 \\ = 290 \: {cm}^{2} [/tex]

Calculate the lateral area of the rectangular prism if the perimeter of the base is 48 units

Answers

Answer: It’s C just did assignment 288unitssquared

Classify this relation as direct, inverse, or neither:
On Sarah's 16 GB flash drive, she can fit 16 video clips of about 1 GB each, two movies of about 8 GB each, or 4000 songs of about 4 MB each.

A. Inverse; there is a constant product of 8 GB.
B. Inverse; there is a constant product of 16 GB.
C. Direct; the ratio of corresponding x- and y-values is constant.
D. Neither

Answers

Answer:

b option im not sure but

Step-by-step explanation:

B IS THE CORRECT ANWSER

What do you have to know before you can round a number

Answers

Answer:

if it ends in 5 then you round up but if it's less than 5 you round down

Step-by-step explanation:

You first have to locate the digit in the rounding place and this digit can be in the ones place, tens place,

hundreds place, thousands place, and so on.

After you locate the digit, look at the

digit to the right of the rounding place.

If the digit to the right of the rounding place is less than 5, we round down and if the digit is greater than or equal to 5, we round up.

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
0 (0,-5)
0 (0, -3)
O (0,3)
0 (0,5)

Answers

Answer:

(0,5)

Step-by-step explanation:

f(x) = x^2 + 3x + 5

The y intercept is when x =0

f(0) = 0 + 3*0 + 5

f(0) = 5

(0,5)

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes. Based upon the above information and numerically justified, would you be surprised if it took less than one minute to find a parking space?



a. Yes


b. No


c. Unable to determine.

Answers

Answer:

a. Yes

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

If the absolute value of the z-score is 2 or larger, X is considered a surprising outcome.

In this question:

[tex]\mu = 7, \sigma = 3[/tex]

Would you be surprised if it took less than one minute to find a parking space?

We have to find the z-score when X = 1. So

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

[tex]Z = \frac{1 - 7}{3}[/tex]

[tex]Z = -2[/tex]

Since Z = -2, the correct answer is:

a. Yes

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.

Answers

Answer:

the answer would be D &F

A researcher developing scanners to search for hidden weapons at airports has failed to conclude that a new scanner is significantly better than the current scanner. He made his decision based on a test using alpha equals 0.025 . Would he have made the same decision at alpha equals 0.10 question mark How about alpha equals 0.01 question mark Explain.

Answers

Answer:

Yes, he would take the same decision.

Step-by-step explanation:

Consequently, because the decision is taken on the test based on the use of alpha equals 0.025, the p-value of the test must have been greater than the given amount of importance that is 0.025 since the test is not applicable to us. So, p > 0.025.

If we know that p > 0.025, that would not mean p > 0.1 as well, because we do not know with the details given he had to make the same decision for 0.1 degree of meaning.

As for the 0.01 significance point, we 're sure p > 0.01 is greater than 0.025, so the test does not matter.

how do i factor the "common factor out of each expression?" ex:

12n^6 + 27n^2 - 18


whoever answers correct/ first ill give brainliest

Answers

Answer:

Step-by-step explanation:

A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.  

Here we start with the expression  12n^6 + 27n^2 - 18.  'n' does not show up in every term and thus could not be a "common factor" of this expression.  On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.

12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)

1)  Identify the common factor (here it's 3)

2) Factor that out of the given expression:   3(4n^6 + 9n^2 - 6)

I need the answer ASAP giving 20 points!

Answers

Answer: a makes the most sense

Step-by-step explanation:

a square stained window is divided into four congurent traiangular sections by iron edging to represent seasons of the year. Each diagonal measures 9 inches. What is the total length of iron edging needed to create the sqaure frame and two diagnols?

Answers

Answer:

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

Step-by-step explanation:

Given:

Length of diagonal = 9 in

Find:

Total length of iron needed to make the square frame and two diagonals.

Computation:

Area of square = 1/2(diagonal)²

Area of square = 1/2(9)²

Area of square = 40.5 in²

Area of square = Side × Side

40.5 in² = Side × Side

Side = 6.36 (approx)

Total length of iron needed to make the square frame and two diagonals = Permeter of square + (2 × diagonal)

⇒ (4 × 6.36) + (2 × 9)

⇒ (25.44) + (18)

⇒ 43.44 in

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

Question 6
Which is the graph of y=-x-3?
Graph B
Graph C
Graph A

Answers

Answer:

Step-by-step explanation:

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If Mick needs 12 pizzas, 15 bags of chips, and 15 sodas, which is a reasonable amount that he will spend on food for the party?A. $204.00B. $84.00C. $58.00D. $246.00 Which of the following are characteristics of heterogeneous mixturesA. distinguishable components B. evenly distributed components C. particles too small to be seen with a microscope D. components in varying proportions E. particles that may settle What are cilia?A.false feetB.skinny tailsC.hairlike projectionsD.temporary extensions after turning the volume all the way up on the speakers you still can't hear any sound which of the following should be your the next step All living organisms are made up of cells. Cells are the basic units of life. In complex living organisms, cells are organized into tissues, tissues are organized into organs, and organs are organized into organ systems. What characteristic of life does this information represent? A. Life tends to be chaotic and random. B. 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Make sure to indicate what borrowing, if any, would be needed to attain the desired ending cash balance. balancing equations Which best describes the author's purpose in this passage?A) to make readers very angry about video game playersB) to inform readers about the culture of video game playersC) to amuse readers with an entertaining tale of video game playersD) to persuade readers that playing video games has positive benefitsVideo games pull players into worlds they could never imagine. In these worlds, players become top athletes, animated characters, alien commanders, and so on. So, if video games use so much imagination, why do people look down on them? News reports today often talk about the bad effects of video games. For example, some blame video games for making children more violent. Others blame them for causing children to sit in front of the television, instead of getting exercise. While such claims may hold some truth, not all video games are bad. In fact, some actually have great benefits.2Playing video games on every platform, from large computer displays to handheld devices or even cell phones, improves thinking skills, reaction time, and hand-eye coordination.3Research has shown that playing video games is good for players' minds. Video games improve players' thinking skills. A researcher from one study said, "It's difficult to find kids who earn poor grades but who do well in video games." Video games challenge players to recognize patterns and think to survive in the game. Players must use their brains to plan their next move to avoid losing the game.4Even simple games seem to boost brainpower. For example, the goal of one popular game is to arrange falling blocks into a solid wall. When the game begins, the blocks drop at a slow pace, giving the player plenty of time to put them in the correct place. As the player gets better at arranging the blocks, the game starts dropping them at a faster rate. 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