Each of 150 volunteers was assigned at random to one of five rooms where they were asked to taste and rate a glass of wine. In one of the rooms, no music was playing and a different style of music was playing in each of the other four rooms. The researchers concluded that cabernet sauvignon is perceived as being richer and more robust when bold music is played than when no music is heard.

Required:
a. Is the study described an observational study or an experiment?
b. Can a case be made for the researcher's conclusion that the music played was the cause for the higher rating? Explain.

Answer:

51.877 kg

Step-by-step explanation:

a

See attachment for calculations

b

The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have

t = 4 hours = 4 * 60 minutes = 240 minutes

y = 160/3 (1 - e^((-3 * 240)/200))

y = 160/3 (1 - e^(-720/200))

y = 160/3 (1 - 0.0273)

y = 160/3 (0.9727)

y = 51.877 kg

Therefore, the amount of salt in the tank after 4 hours is 51.877 kg

Answer:

I estimated the answer would be 72 (actual answer: 71.93)

Step-by-step explanation:

67.07 rounded to the nearest whole number is 67

4.86 rounded to the nearest whole number is 5

67 + 5 = 72

hope this helped!

Answer:

See below.

Step-by-step explanation:

The reason a number divided by zero is undefined is as follows.

Every operation, addition, multiplication, subtraction, and division, is carried out between two numbers and must have a single correct answer.

For example 1 + 5 = 6. The only correct answer to 1 + 5 is 6. There is no other correct answer to that addition. The same is true of any multiplication, subtraction, or division. Another example: 8/2 = 4. No other correct solution exists to the division of 8 by 2 other than 4.

Division is defined in terms of multiplication.

The definition of dividing a number by another number is:

a divided by b equals c if and only if b * c = a.

For example, 10/5 = 2 if and only if 5 * 2 = 10. 5 * 2 does equal 10, so it is correct that 10/5 = 2.

Now let's try dividing by zero and see the problem that arises.

Let's try to divide 8 by 0.

8/0 =

Since we are not used to dividing by zero, we don't really know what the answer should be, but we can try different answers.

Let's say 8/0 = 8

Then by the definition of multiplication, we need 0 * 8 to equal 8, but we know that 0 * 8 = 0, so the answer of 8/0 cannot be 8. Let's try a different answer.

8/0 = 0, then we need 0 * 0 to equal 8, but 0 * 0 = 0, not 8, so 0 also does not work.

We can generalize and try

8/0 = k, but then that requires 0 * k to equal 8. Since multiplication by 0 always has a result of 0, there is no number k that will multiply by 0 and give 8. This means that a number divided by 0 cannot give a result.

Now let's try one more thing.

What about 0 divided by 0.

Let 0/0 = 1. Then 0 * 1 = 0. It seems to work, but here there is a different problem. We could also say that 0/0 = 2 since 0 * 2 = 0; 0/0 = 3 since 0 * 3 = 0, etc. and now 0/0 can equal every number. The result of a division must be a unique answer, not all numbers.

When we try to divide a non-zero number by 0, no number works in the definition of division, so dividing a non-zero number by 0 is undefined. When we try to divide 0 by 0, every number works. Since there is no unique solution, 0/0 is also undefined. Therefore, division by zero is undefined.

Now the last part of your question.

What about 0 divided by 6?

0/6 = 0 if and only if 6 * 0 = 0. Well, 0 * 6 does equal zero. There is no other number that you can use as the quotient of 0/6 and have the corresponding multiplication equal zero, so 0/6 is indeed 0, and that operation is defined.

0 divided by any number other than zero is a defined division and equals 0.

Conclusion:

(any number)/0 is undefined

0/(any number other than zero) is defined and equals zero

Answer:

Step-by-step explanation:

Answer:12.7

Step-by-step explanation:

Answer:

How to Write Out USD 500.2 Dollars in Words: five hundred dollars and twenty cents.

I count on the best

Answer:

$816

Step-by-step explanation:

ratio would be:

12:96

or:

1:8

so one pound=8 dollars

102x8=816

Answer:

Correct answer is 28

Step-by-step explanation:

The solution to the equation is 8.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

x - 3 + 1 = 6

Solve for x.

x - 2 = 6

x = 6 + 2

x = 8

We can cross-check.

x - 3 + 1 = 6

8 - 3 + 1 = 6

9 - 3 = 6

6 = 6

True

Thus,

The solution is 8

Learn more about solutions of equations here:

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Answer:

y = -7x + 2

Step-by-step explanation:

in the general equation y = ax + b, a is the slope and b is the y coordinate of the y intercept.

Answer:

y=-7x+2

Step-by-step explanation:

The equation is represented by y=mx+b where m is slope and b is the y-intercept.

Answer:

A = L × W A = L × W A=L×W.

A = L × W A = L × W A=L×W.

P = 2 L + 2 W P = 2L + 2W P=2L+2W.

Answer:

6

Step-by-step explanation:

4 × 9 = [tex]\sqrt 36[/tex] = [tex]\sqrt{6}[/tex]

The value of y is 6 units obtained by applying pythagoars's theorem in all possible right-angled triangles.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the figure, we have three unknowns x, y, and z and we have 3 right-angled triangles so three equations can be formed.

x² = 4² + y²...(i)

z² = 9² + y²...(ii)

(4 + 9)² = x² + z²

13² = x² + z²...(iii)

Now, Subtracting eqn(ii) from eqn(iii) we have.

  169 = x² + z²

(-)  81 = -(y)² + z²

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

88 = x² + y²...(iv).

Now adding eqn(i) and eqn(iv) we have,

2x² = 104.

x² = 52.

Putting this value in eqn(i) we have,

52 = 16 + y².

y² = 36.

y = 6.

learn more about Pythagoras' theorem here :

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Answer:

The first option     (5.7km)

Step-by-step explanation:

Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]9^{2} = 7^{2} + d^{2}[/tex]

[tex]d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\[/tex]

d ≈ 5.7km

There for aproximate distance across the lake is equal to 5.7km

Answer:

A

Step-by-step explanation:

Answer:

first you multiply both sides by k. that makes kU equals x

Answer:

60%

Step-by-step explanation:

3/5 likely, because there are five hours when the repairman could show up.

Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%

Answer:

for da other guy to get brainliest

Step-by-step explanation:

Answer:

a = 216

Step-by-step explanation:

Answer:

gmxgmxkydyoduryljfhlduñfixjcigtltgracjas por los puntos gigkckckxkjajguajajajjaa

Answer:

a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs

THX mark me brainlyiest

Answer:

5 hotdogs

Step-by-step explanation:

Deduct the price of French fries + drink from the total amount of money he has.

5.00 - 0.80 - 0.95 = 3.25

Divide the amount of money left with the amount of money each hotdog cost.

3.25 ÷ 0.65 = 5

Answer:

The second step because she distributed within the parentheses without adding the negative sign to 13

Answer:

The first answer will be 96 batches and the second one will be 0.90 cents per batch

Step-by-step explanation:

Hope this Helped

Answer:

27/64

Step-by-step explanation:

Answer: x = 20/3 = 6.667

Step-by-step explanation:

 Solve  :    3x-20 = 0

Add  20  to both sides of the equation :

                     3x = 20

Divide both sides of the equation by 3:

                    x = 20/3 = 6.667

Answer:

length = 91 m

Step-by-step explanation:

area = length * width

so,

7371 = length * 81

cancel out 81 by dividing on both sides

91 = length

Answer:

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

(-3x^2 + 2) x (-2x^3 - 5x + 4)

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8

Answer:

2/3<9/10; I used 3/4 as a benchmark.

Step-by-step explanation:

2/3<1/2; I used 1/2 as a benchmark.

2/3 = 0.(20/3) = 0.667

1/2 = 0.(10/2) = 0.5

So this is wrong, as 0.667 > 0.5.

1/2=3/5; I used 1/4 as a benchmark.

1/2 = 0.(10/2) = 0.5

3/5 = 0.(30/5) = 0.6

0.5 != 0.6, so this is wrong.

2/3<9/10; I used 3/4 as a benchmark.

2/3 = 0.(20/3) = 0.667

9/10 = 0.(90/10) = 0.9

So this is correct, as 0.667 < 0.9

3/4<2/3; I used 1/2 as a benchmark.

3/4 = 0.(30/4) = 0.75

2/3 = 0.(20/3) = 0.667

0.75 > 0.667, so this is wrong.

Answer:

I used Desmos to graph it

Answer:

if anything, I would say C. I can't see the image too clearly, but I can see what you typed out

Step-by-step explanation:

Answer:

Options are incorrect

Step-by-step explanation:

Answer:

ansewr mine

The chart below shows how many times the students purchased lunch in the cafeteria. How many more days more did Amber purchase her lunch than Dana?

A. 12

B. 14

C. 15

D. 19

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!