Simplify the following expression.
3^3/5• 3^(-7/5)

Emma is asking an empirical question so that she she can test her hypothesis

What is a Empirical hypothesis?

Something empirical is something based on real evidence .

Evidence that is verifiable by observation as opposed to something that is true in theory or by some kind of reckoning or logic

A hypothesis is a theory that is put forward for further examination to see if it is correct. It is not a call but it is an explanation that fits the available evidence so , An empirical hypothesis is a theory that is based on real evidence and experience but that has not been proven yet

So, According to the question

Emma wants to know if long distance relationship in college have a greater likelihood of ending than a relationship that are not long distance and for that she creates a questionnaire and the crowds 100 student from our school to complete the questionnaire so she can test her hypothesis

Here, Emma is asking an empirical questions ( question about experience) and will conclude the test based on these 100 students experience and thoughts.

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According to this range , The right response is hence A.

Range in mathematics is a statistical indicator of dispersion, or how widely spaced a given data collection is from smallest to largest. The range of a piece of data is the distinction between the largest and lowest value.

The range of the data is 9, and it is almost symmetric. This could occur because the bookstore offers a discount on all books costing more than $6.

Data that is symmetrical is uniformly distributed around the mean. In other words, the distribution's left side is the right side's mirror image. We can infer that the mean is roughly in the middle of the price range in this situation because the data is almost symmetric.

The difference between the largest and smallest numbers in a piece of data is known as the range of the data.

The range in this instance is 9, as there are nine dollars between the highest price ($9) and the lowest price ($0).

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Hope you could understand.

If you have any query, feel free to ask.

During the winter season, a family sets up a hot chocolate stand near a local ice skating rink. They sell cups of hot chocolate for $1.50 each and typically sell 50 cups per day.

However, due to changes in weather conditions and customer preferences, the family decides to conduct a market experiment by varying the price of hot chocolate to assess the impact on sales volume. The experiment involves increasing the price to $2.00 per cup and monitoring the resulting sales.

By increasing the price of hot chocolate from $1.50 to $2.00 per cup, the family aims to observe how the change in price affects the demand for their product. The experiment helps them understand the price elasticity of demand, which measures the responsiveness of quantity demanded to changes in price. If the increase in price leads to a significant decrease in sales volume, it suggests that the demand for hot chocolate is elastic, meaning consumers are sensitive to price changes. Conversely, if sales remain relatively stable despite the price increase, it indicates that the demand is inelastic, indicating that consumers are less sensitive to price changes. The family can analyze the results of this experiment to make informed pricing decisions and optimize their profitability during the winter season.

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Answer:

324ft³

Step-by-step explanation:

volume for a cube : height x length x width

so,

v = 6ft x 6ft x 9ft

= 324ft³

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

The possible range for x, in the terms, of BC is BC < x< 3BC.

In mathematic, there is a rule for triangle side lengths. This rule says that the sum of the lengths of any two sides of a triangle is greater than the length of the one side (third side).  Therefore,

                                           \(L1+L2 > L3\; (1)\\ \\ L1+L3 > L2\; (2)\\ \\ L2+L3 > L1\; (3)\)      

The question gives three sides: AB (L1), BC (L2) and x (L3). Also, you know that AB=2 BC.

Applying the equation (1) of rule for triangle side lengths, you have:

L1+L2> L3

AB+BC > x

2BC+BC > x

3BC > x

x< 3BC

Applying the equation (2) of rule for triangle side lengths, you have:

L1+L3 > L2

AB+x >BC

2BC+x > BC

x > -BC

Applying the equation (3) of rule for triangle side lengths, you have:

L2+L3 > L1

BC + x > AB

BC + x > 2BC

x > BC

The intersection of the inequalities results is the solution of this problem.  Then, the possible range for x, in the terms, of BC is BC < x< 3BC. See the attached image.

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Answer: it’s 10.0

Step-by-step explanation:

Answer:

The answer should be 34.33 times.

Step-by-step explanation:

If it weighs up to 3 grams, that should be the answer. However, if it is 10 grams, the answer would be 10.3 times. I hope this helps

The length of the side a is 24cm given that angle ∠A is 150°, angle ∠B is 12° and side b is 10 cm in a triangle ΔABC. This can be obtained by laws of sine.

When the triangles are not right angled we use laws of sine and cosine,

Laws of sine states that,

In a triangle ΔABC,

⇒ \(\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}\)

∠A, ∠B, ∠C are the three angles of the triangle ΔABC, a is the side opposite to the angle ∠A, b is the side opposite to the angle ∠B, c is the side opposite to the angle ∠C

Here in the question it is given that,

In a triangle ΔABC

We have find the length of the side a.

By using the laws of sine we can write that,

⇒ \(\frac{sinA}{a}= \frac{sinB}{b}\)

⇒ \(\frac{sin150^{0} }{a}= \frac{sin12^{0} }{10}\)

⇒ a = sin 150° × 10/sin 12°

⇒ a = 24 cm

Hence the length of the side a is 24cm given that angle ∠A is 150°, angle ∠B is 12° and side b is 10 cm in a triangle ΔABC.

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Answer:

Step-by-step explanation:

Hey there!

(3^2)^4

= (3 * 3)^4

= (9)^4

= 9^4

= 9 * 9 * 9 * 9

= 81 * 81

= 6,561

Therefore, your answer should be:

6,561

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: 37.98 (I assume you mean times)

Step-by-step explanation:

Calculator :)

The probability that fewer than 1690 blocks meet the specification in three or more of the six lots is  0.0000428%.

1. Let's calculate the probability of a single block meeting specification:

p(block meets spec) = 0.85

p(block doesn't meet spec) = 1 - 0.85

= 0.15

The number of blocks that meet the specification follows a binomial distribution with n = 2000 and p = 0.85.

Let X be the number of blocks that meet the specification.

Therefore, P(X < 1690) can be calculated using the binomial cumulative distribution function.Using a calculator or a software, we get:

P(X < 1690)

= 0.0006 (rounded to four decimal places)

Therefore, the probability that, in a given lot, fewer than 1690 blocks meet the specification is 0.0006 or 0.06%.

2. The number of blocks that meet the specification follows a binomial distribution with n = 2000 and p = 0.85.

We need to find the number of blocks k, such that

P(X < k) = 0.70

Using a calculator or a software, we get:

k = 1743

Therefore, the 70th percentile of the number of blocks that meet the specification is 1743.3.

The number of blocks that meet the specification in each lot follows a binomial distribution with n = 2000 and p = 0.85.

The probability that fewer than 1690 blocks meet the specification in a given lot is:

P(X < 1690) = 0.0006

From part 1, we know that the probability that fewer than 1690 blocks meet the specification in a given lot is 0.0006. Let Y be the number of lots with fewer than 1690 blocks meeting the specification.

Therefore, Y follows a binomial distribution with n = 6 and p = 0.0006.

We need to find P(Y ≥ 3).

Using a calculator or a software, we get:

\(P(Y ≥ 3) = 4.28 x 10^(-7)\) (rounded to nine decimal places)

Therefore, the probability that fewer than 1690 blocks meet the specification in three or more of the six lots is 4.28 x \(10^(-7)\) or 0.0000428%.

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A ball dropped from a height of 10 m and bouncing vertically to 3/4 of the preceding height will travel a total distance of 40 meters if it is assumed to bounce infinitely often.

The ball is dropped from a height of 10 meters. Upon striking the ground, it bounces back to a height that is 3/4 (or 0.75) of the previous height. This means that after the first bounce, it reaches a height of 10 * 0.75 = 7.5 meters. After the second bounce, it reaches 7.5 * 0.75 = 5.625 meters, and so on.

To calculate the total distance covered by the ball, we need to sum up the distances traveled during each bounce. Each time the ball bounces, it covers a round trip from the drop point to the maximum height achieved. Therefore, the total distance traveled is twice the sum of the heights reached.

The formula to calculate the sum of an infinite geometric series is: S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio. In this case, the first term is 10 meters, and the common ratio is 0.75. Plugging these values into the formula, we get:

S = 10 / (1 - 0.75) = 10 / 0.25 = 40 meters.

Thus, the total distance covered by the ball, assuming infinite bounces, is 40 meters.

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Answer:

y=1/4x-2

Step-by-step explanation:

formula

y=mx+b

Answer:

AA

Step-by-step explanation:

AA

Answer:

15+ 8d

After d day,she has read 15 +8d pages

Answer:

24

Step-by-step explanation:

Arrange in ascending order,

4,7,9,10,11,13,14,17,18,19

N=10

Median=(N+1)/2 th item= 11/2=5.5 th item

5.5th item=(5th item+6th item)/2=11+13/2=24/2=12

( The question says 11 students, i imagine its a mistake or you missed one)

Given:

median=(n+1/2)thi item

arranging in ascending order.

4 7 9 10 11 13 14 17 18 19

n=10

using formula

md= n+1/2

= 10+1/2

=5.5 th item

=12

is the median

you must have to correct your question there is 11 but the given number are 10

The system of equations is impossible to solve using Cramer's Rule.

To solve the system of linear equations using the Gauss-Jordan elimination method:

2x + 2y + 3z = 10 (Equation 1)

2x + 2y + 3z = -2 (Equation 2)

4x + y + 3z = 2 (Equation 3)

Step 1: Write the augmented matrix for the system of equations:

[2 2 3 | 10]

[2 2 3 | -2]

[4 1 3 | 2]

Step 2: Perform row operations to transform the matrix into reduced row-echelon form:

R2 = R2 - R1

R3 = R3 - 2R1

[2 2 3 | 10]

[0 0 0 | -12]

[0 -3 -3 | -18]

R3 = R3/(-3)

[2 2 3 | 10]

[0 0 0 | -12]

[0 1 1 | 6]

R1 = R1 - R2

[2 2 3 | 22]

[0 0 0 | -12]

[0 1 1 | 6]

R1 = R1/2

[1 1 3/2 | 11]

[0 0 0 | -12]

[0 1 1 | 6]

Step 3: Back-substitution to solve for the variables:

From the second row, we can see that 0 = -12, which is not possible. This means that the system of equations is inconsistent, and there is no solution.

Therefore, the system of equations is impossible to solve using Cramer's Rule.

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Answer:

do yourself a favor and download photomath. It'll save your life

Step-by-step explanation:

Answer:

J is 8. (J= 22-14) So that would simplify to (J= 8)

Step-by-step explanation:

hope this helps :)

J is 8. (J= 22-14) So that would simplify to (J= 8)

The months where the difference in salinity of surface and bottom waters was the greatest was in April and September.

It should be noted that salinity simply means the accumulation of salt in land as well as water.

In this case, the months where the difference in salinity of surface and bottom waters was the greatest was in April and September.

This is because many events take place such as continuous flowing or river water into the sea, evaporation, and melting of ice.

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The number of axial points to be added to a central composite design depends on the number of factors being studied and the desired level of precision. The formula \(2^{(k-1)\) is commonly used, where 'k' represents the number of factors.

A central composite design (CCD) is a commonly used experimental design in which the factors of interest are studied at multiple levels, including extreme and central levels. Axial points are additional design points that are added to a CCD to estimate the curvature of the response surface. The number of axial points to be added depends on the number of factors being studied and the desired level of precision.

In general, the number of axial points in a CCD is determined by the formula \(2^{(k-1)\), where 'k' represents the number of factors. This formula ensures that the design is rotatable, meaning that the design can be rotated and replicated to estimate the pure quadratic terms. However, the addition of axial points also increases the total number of experimental runs, which may require more resources and time.

The choice of the number of axial points should consider the trade-off between precision and resource constraints. Adding more axial points allows for a more accurate estimation of the curvature, but it also increases the complexity and cost of the experiment. Researchers should carefully evaluate the experimental goals, available resources, and desired level of precision to determine the appropriate number of axial points to be added to a central composite design.

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Answer:

an equation between two variables that gives a straight line when plotted on a graph. In mathematics, a linear equation is an equation that may be put in the form {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}} are the coefficients, which are often real numbers.

Answer: The formula for the surface area of a cylinder is:

SA = 2πr^2 + 2πrh

where SA is the surface area, r is the radius, and h is the height.

In this case, we know that the surface area is 936π square meters and the radius is 13 meters. So we can plug those values into the formula and solve for h:

936π = 2π(13^2) + 2π(13)(h)

Simplifying:

936π = 338π + 26πh

936π - 338π = 26πh

598π = 26πh

h = 598/26 = 23

Therefore, the height of the cylinder is 23 meters.

Step-by-step explanation:

Step-by-step explanation:

you made some mistakes with the formula.

the surface area of a cylinder is

the outside mantle area

+

the 2 circle areas on top and bottom.

the outside mantle area is

2×pi×radius×height

the 2 circle areas are

2 × pi×radius²

in total that is

2×pi×radius×height + 2×pi×radius² =

2×pi×radius×(height + radius) = 936pi

2×pi×13×(height + 13) = 936pi

pi×(height + 13) = 36pi

height + 13 = 36

height = 36 - 13 = 23 m

To solve for x, we need to use the properties of angles in a circle. We know that the measure of the central angle JIH is 74 degrees. We are also given that the measure of arc JH is (3x-39) degrees.

The angle ∠JIH is given as 74°, and the measure of arc JH is (3x-39)°. In a circle, the measure of an angle formed by an inscribed arc is half the measure of the arc. Therefore, we have: 74° = 1/2 * (3x-39)°. To solve for x, we can simplify the equation: 148 = 3x - 39, Adding 39 to both sides, we get: 187 = 3x . Dividing both sides by 3, we find: x = 62.3. Therefore, the value of x is approximately 62.3 when the measure of arc JH is (3x-39)°.

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Answer:

125

Step-by-step explanation: first you do 350 dvide by 1.04 and you will get your answer

To construct a truth table for the given logical expression using De Morgan's Law, we'll break it down step by step and apply the law to simplify the expression.

Let's start with the given expression:

Xyz + X(Y Z)' + X'(Y + Z) + (Xyz)' (X + Y')(X' + Z')(Y' + Z')

Step 1: Apply De Morgan's Law to the term (Xyz)'

(Xyz)' becomes X' + y' + z'

After applying De Morgan's Law, the expression becomes:

Xyz + X(Y Z)' + X'(Y + Z) + (X' + y' + z')(X + Y')(X' + Z')(Y' + Z')

Step 2: Expand the expression by distributing terms:

Xyz + XY'Z' + XYZ' + X'Y + X'Z + X'Y' + X'Z' + y'z' + x'y'z' + x'z'y' + x'z'z' + xy'z' + xyz' + xyz'

Now we have the expanded expression. To construct the truth table, we'll create columns for the variables X, Y, Z, and the corresponding output column based on the expression.

The truth table will have 2^3 = 8 rows to account for all possible combinations of X, Y, and Z.

Here's the complete truth table:

```

| X | Y | Z | Output |

|---|---|---|--------|

| 0 | 0 | 0 |   0    |

| 0 | 0 | 1 |   0    |

| 0 | 1 | 0 |   0    |

| 0 | 1 | 1 |   1    |

| 1 | 0 | 0 |   0    |

| 1 | 0 | 1 |   0    |

| 1 | 1 | 0 |   1    |

| 1 | 1 | 1 |   1    |

```

In the "Output" column, we evaluate the given expression for each combination of X, Y, and Z. For example, when X = 0, Y = 0, and Z = 0, the output is 0. We repeat this process for all possible combinations to fill out the truth table.

Note: The logical operators used in the expression are:

- '+' represents the logical OR operation.

- ' ' represents the logical AND operation.

- ' ' represents the logical NOT operation.

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The given statement is true that for a given non-zero vector v in r³ there is a unique unit vector parallel to it.

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