The sum of the numerator and denominator of a fraction is 53, and the new fraction obtained by reducing the numerator by 5 can be converted into 1/2, then the original fraction is _____.

The null hypothesis in this situation is "There are no differences in the mean completion times among the temperatures compared".

This is a hypothesis that states the independent variable or factor being studied has not effect on the dependent variable.

This implies the temperature has no effect on the completion times of the paper-folding test.

It is the effect of temperature because this is the factor being manipulated on purpose.

This refers to the factor being studied, in this case, these are the spatial reasoning abilities, which are tested through a specific test.

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The investment's expected return is 5.95%.

The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.

To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.

In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.

Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.

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Answer:

$14.98

Step-by-step explanation: Literally just use a sales tax calculator...

Answer:

its "A"

Step-by-step explanation:

A run-on sentence results from two or more complete sentences being connected without any punctuation

Hello!

It's Option A.

Run-on sentences are sentences that aren't properly connected.

Eat your vegetables then you can go to bed.

This is a run-on sentence, as two short sentences are put together, but they aren't connected properly.

Hope this helps!

Do ask me if you have any query.

~A gloomy teen

\(MagicalNature\)

Answer x=6 and y=10

Explanation:

Replace each variable in turn with 0 and solve

5x+3y=30  Put zero in place of x and solve for y

5(0)+3y=30

\(\frac{3y}{3} =\frac{30}{3}\)

y=10 The y- intercept is 10

5x+3y=30 Put zero in place of y and solve for x

5x+3(0)=30

\(\frac{5x}{5} =\frac{30}{5}\)

x=6  The x-intercept is 6

Therefore , the solution of the given problem of speed comes out to be the average distance travelled is  225 meters.

We can determine how fast that anything is traveling by looking at it from a distance. The amount of distance an object can go in a given length of time depends on its speed. Velocity is calculated using the formula velocity = distance/time. The three most used units of speed are meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph) (mph).

Here,

Given :

Time =  40 seconds.

To find the distance:

We use speed and time formula

=> distance = speed * time

=> distance = 15 * 30

=> distance =  225 meters.

Therefore , the solution of the given problem of speed comes out to be the average distance travelled is  225 meters.

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Answer:

(0,-6) and (-1,0)

Step-by-step explanation:

First:

Set both sides equal to each other: -6x-6=x^2-5x-6

Next:

factor -6 our from the first side and write -5x as a difference:

-6(x+1)=x^2+x-6x-6

Then:

factor out x and -6 drom the second side:

-6(x+1)=x(x+1)-6(x-+1)

Then:

Factor out (x+1)

-6(x+1)=(x+1)(x-6)

Next Combine to one side and factor:

-(x+1)(6+x-6)=0

Simplify:

(x+1) (x)=0

find the zero:

x+1=0 --> x=-1

x=0 --> x=0

Substitute into the equations to find y:

y=-6(-1)-6

y=-6(0)-6

Solve:

y=0

y=-6

Answer:

(x1,y1)= (-1,0)

(x2,y2)= (0,-6)

Answer:

D.

Step-by-step explanation:

to prove congruency of two triangles, you need two congruent sides and one congruent angle

in this case we are given exactly that, 2 sides and one angle that is congruent

we would also need to make sure that the given sides and angles are actually congruent, and not mismatched

we can do this by looking at the positions of the letters in each congruency statement

for example, the letters LO and MA are the first two letters in each triangle's name, this means that they are congruent and properly matched

if you do this with every statement that you are give, you can see that the triangles can be proven by SAS

The statement correctly describes the transformation of the graph of y = x of y = x - 13  It is the graph of y = x translated 13 units to the right.

When you move a graph horizontally or vertically, this is called a translation.

When the transformation of y = x to y = x - a the graph shifted to the right horizontally by units.

The transformation of the graph of y = x to y = x - 13 will shift to the right.

y = x - 13 shifted to right horizontally by 13 units.

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The question is incomplete the complete question is :

Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?

A. It is the graph of y= x translated 13 units up.

B. It is the graph of y = x translated 13 units to the right.

C. It is the graph of y= x translated 13 units to the left.

D. It is the graph of y = x where the slope is decreased by 13.

Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.

Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.

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Answer:1430 ft^3

Step-by-step explanation: you have to divide by 36

Answer:

y=3.7x + 120.3, 180

Step-by-step explanation:

Add them into a graphing calculator and you get y=3.7x + 120.3

Put 16 in for x:

3.7 (16) + 120.3

59.2 + 120.3 = 179.5, rounds to 180

Answer:

56.3

6.6

Step-by-step explanation:

Answer:

A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?: √3170≈56.3 km.

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?: √44.19≈6.65 ft.

Step-by-step explanation:

For these questions, we will need to use the pythagorean theorem: a²+b²=c², where a and b are the legs of the right triangle and c is the hypotenuse.

A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?

In this question, we are looking for the hypotenuse.

19 and 53 are the legs of the triangle, so we can plug it into the equation:

19²+53²=c²

361+2809=c²

3170=c²

√3170=c

56.30275304103699, or approximately 56.3 km.

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?​

25 is the hypotenuse since it is leaning sideways and is the longest side. 24.1 is one of the legs.

In this question, we are looking for one of the legs.

Let's plug it in: 24.1²+b²=25²

580.81+b²=625

Subtract 580.81 from both sides.

b²=44.19

b=√44.19

6.647555941848102, or approx. 6.65 ft.

\(y=x^2-4x+6\\y'=2x-4\)

To find the slope/gradient of the curve at the specific point, we use the derivative.

Then substitute x = 3 in y' = 2x-4

\(y'=2(3)-4\\y'=6-4\\y'=2\)

Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.

Answer:

-5x - 4

Hope this helps!!! :)

Answer:

-8x-4. I hope that this helps kid

Answer: Using the absolute value function, the value that is the opposite of being short $3.96 is: x + 3.96.

Step-by-step explanation:

The absolute function is defined by:

|x| = x, x ≥ 0.

|x| = -x, x < 0.

It measures the distance of a point x to the origin, that is, |2| = |-2| = 2.

For this problem, the number is of $3.96, that is:

|x| = 3.96.

Hence:

Short of $3.96 means that x = -3.96.

The opposite is the other solution, of x = 3.96.

The span of {u, v} represents a plane in three-dimensional space. w is not in the span of {u, v}. the span of {u, v, w} is the entire three-dimensional space.

(a) The span of {u, v} represents a plane in three-dimensional space. Geometrically, this plane can be visualized as a flat surface extending infinitely in all directions. It includes all possible vectors that can be obtained by scaling and adding u and v. Any vector lying on this plane can be expressed as a linear combination of u and v.

(b) To determine if w is in the span of {u, v}, we need to check if w can be expressed as a linear combination of u and v. We can write w as follows:

w = a*u + b*v

Solving the system of equations formed by equating corresponding components, we have:

-2 = 3a - 2b

2 = -a + 2b

6 = -2a - 6b

Solving this system, we find that there are no values of a and b that satisfy all three equations simultaneously. Therefore, w is not in the span of {u, v}.

(c) The span of {u, v, w} is the entire three-dimensional space. To justify this, we consider the matrix A whose columns are u, v, and w:

A = [u v w] = [1 3 -2; -1 1 2; -2 -6 6]

We can row-reduce matrix A to its echelon form:

[1 3 -2; -1 1 2; -2 -6 6] -> [1 3 -2; 0 4 0; 0 0 0]

The echelon form shows that the columns of A are linearly independent, and they span the entire three-dimensional space. Therefore, any vector in three-dimensional space can be expressed as a linear combination of u, v, and w, indicating that the span of {u, v, w} is the entire three-dimensional space.

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Answer:

A ≈ 22.2 ft²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{50}{360}\)

   = π × 7.13² × \(\frac{5}{36}\)

    = 50.8369π × \(\frac{5}{36}\)

    ≈ 22.2 ft² ( to the nearest tenth )

The correct answer is 3p² + 8mp + 3, which is different from Chen's answer of 3p² + 6m + 5.

What is a polynomial?

In mathematics, a polynomial is an expression consisting of variables (also known as indeterminates) and coefficients, which involves only the operations of addition, subtraction, and multiplication. Polynomials can have one or more terms, and each term can have one or more variables with non-negative integer exponents.

Chen's error is in the second line where they added the terms -(-2p²-mp+1) without distributing the negative sign to each term inside the bracket. The correct way to subtract a polynomial is to change the sign of each term inside the bracket and then add them to the other polynomial. So, the correct simplification would be:

P²+7mp+4-(-2p²-mp+1)

= P²+7mp+4+2p²+mp-1 (Distributing the negative sign)

= 3p²+8mp+3

Therefore, the correct answer is 3p² + 8mp + 3, which is different from Chen's answer of 3p² + 6m + 5.

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Answer:

Associative property of addition

Answer:

B.Associative property of addiction

Step-by-step explanation:

Answer:

y + 2 = - 2(x - 4)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 2 and (a, b ) = (4, - 2 ) , then

y - (- 2) = - 2(x - 4) , that is

y + 2 = - 2(x - 4)

Answer:

the first one is correct

Step-by-step explanation:

The answer is (C) 1.8 When A tank has 5.25 gallοns οf water. Omar pοurs the water frοm the tank  equally intο 3 buckets

In bοth imperial and US custοmary units, the gallοn is a unit οf vοlume. There are nοw three versiοns in use:

the US gallοn (US gal), defined as 3.785411784 L,[1] (231 cubic inches), which is used in the US and sοme cοuntries in Latin America and the Caribbean; the imperial gallοn (imp gal), defined as 4.54609 litres, which is οr was used in the United Kingdοm, Ireland, Canada, Australia, New Zealand, and sοme Caribbean cοuntries.

Tο find the number οf gallοns οf water in each bucket, we need tο divide the tοtal amοunt οf water (5.25 gallοns) by the number οf buckets (3):

5.25 gallοns / 3 = 1.75 gallοns

Rοunding tο the cοrrect number οf significant digits, we get:

= 1.8 gallοns

Therefοre, the answer is (C) 1.8.

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The x intercept is (-3, 0) and the y intercept is (0, 2)

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

The slope intercept form of the linear equation is:

y = mx + b

where m is the slope and b is the initial value.

Given the equation 4x - 6y = -12. The x intercept is at y = 0:

4x - 6(0) = -12

4x = -12

x = -3

The y intercept is at x = 0, hence:

4(0) - 6y = -12

-6y = -12

y = 2

The x intercept is -3 and the y intercept is 2

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Answer:

4. 15 im not sure tho :/

Step-by-step explanation:

To calculate the required sample size for an inventory observation using mean-per-unit estimation, the auditor typically considers the following factors:

1. Tolerable Misstatement: The auditor establishes a tolerable misstatement level, which represents the maximum error or discrepancy they are willing to accept in the inventory balance. This is usually determined based on professional judgment and regulatory requirements.

2. Expected Misstatement: The auditor estimates the expected misstatement in the inventory balance. This estimation can be based on prior audit experience, internal control effectiveness, or other relevant factors.

3. Risk of Incorrect Acceptance: The auditor assesses the risk of incorrect acceptance, which is the risk that the auditor concludes the inventory balance is materially correct when it actually contains significant misstatements. This risk is generally set based on professional judgment and the auditor's understanding of the client's business.

4. Population Size: The auditor determines the total number of items in the inventory population. This can be obtained from the client's records or through physical counts.

5. Variability of the Population: The auditor considers the variability or dispersion of the inventory population. This can be measured using statistical techniques or based on prior audit experience.

By taking these factors into account, the auditor can use statistical formulas or software tools to calculate the required sample size. The formulas often involve considerations such as confidence levels, desired precision, and statistical distributions. The specific formula used may vary depending on the circumstances and the sampling methodology chosen by the auditor.

It's worth noting that auditing standards and methodologies may evolve over time, so auditors should refer to the most current professional guidance and tools available to determine the appropriate sample size for inventory observations.

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Answer: 72.97 Minutes

Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.

To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.

Relative speed = Speed of car B - Speed of car A

Relative speed = 114 km/h - 77.0 km/h

Relative speed = 37.0 km/h

So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.

To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.

Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours

Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).

Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes

Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.

Hope this helps!

Answer:

A. False

B. False

C. False

D. False

E. False

Explanation:

A. The ratio of the number of gallons of red paint to the number of gallons of blue paint in shade B is 2:1, but this statement only holds true for the first set of values provided.

B. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.

C. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.

D. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.

E. The statement is not true since there's no information about how the shade A is made.

Step-by-step explanation:

Answer:

a= 1

b= 3

c= 2

d= 2

e= 6

f= 8. These are the answers for the question. Love from Gauthmath

The standard exponential function is expressed as y =ab^x. The values of the variables are: b = c = 3, a = 1, d = 2,e = 6, f = 9

The standard exponential function is expressed as:

y =ab^x

wherex is the exponent

a is the base

According to the question, we are to fill the given table based on the given exponential functions.

If the exponential function is 2^x

a = 2^0 = 1

d = 2^1 = 2

If the exponential function is 3*2^x

b = 3* 2^0 = 3

e = 3 * 2^1 = 6

If the exponential function is 2^3x

c = 3^2(0) = 3^1 = 3

f = 3^2(1) = 3^2 = 9

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