the sum of two number is 32 and their differences is 18 whats the two numbers

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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fix the first one,theres no equal sign, and ill solve it

Answer:

2x² + 5x - 3

Step-by-step explanation:

(x + 3)(2x - 1)

Use FOIL

First terms

x * 2x = 2x²

Outer terms

x * -1 = -x

Inner terms

3 * 2x = 6x

Last terms

3 * -1 = -3

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

FOIL

2x² - x + 6x - 3

Combine like terms

2x² + 5x - 3

Answer:

w=6 in

l=3 in

Step-by-step explanation:

let w = width and length be 'w-3'

Two sides of w and two sides of (w-3) equal 18 sq in

18=2(w)+2(w-3)

18=2w+2w-6

4w=24

w=6

The width of rectangle is, 6 in.

And, Length of rectangle is 3 in.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The length of a rectangle is 3 inches less than its width

And, the area of the rectangle is 18 in.²

Now, We know that;

Area of rectangle = Length × Width

Let the width of rectangle = x

Hence, Length of rectangle = x - 3

Thus, We get;

Area of rectangle = Length × Width

18 = x (x - 3)

18 = x² - 3x

x² - 3x - 18 = 0

x² - (6 - 3)x - 18 = 0

x² - 6x + 3x -18 = 0

x(x - 6) + 3 (x - 6) = 0

(x - 6) (x + 3) = 0

x = 6 , x = - 3

But dimensions are not negative.

Hence, We get;

x = 6

Thus, the width of rectangle = 6 in.

Hence, Length of rectangle = x - 3

                                           = 6 - 3 = 3 in.

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Answer:

25% off means the cost to the customer will be 225

25% of means take 25% * 300 (which is 75) and that is the going price.

Step-by-step explanation:

25% off 300 means that you take 300, and find out what 25% of that is.

25/100 * 300 = 75

Now that means that the customer gets to take 25% off the selling price which is 300 - 75 = 225.

The new price is $225.00

25% of 300 has an entirely different meaning. It means that "what is 25% times 300"

That's the same 75 dollars. Only this time, that's the answer. Of means multiply.

The F-test is used to compare two population variances and determine if they are significantly different from each other. When conducting an F-test, the null hypothesis states that the two population variances are equal, and the alternative hypothesis states that the variances are different.

In the given diagram, the F-statistic is calculated as 1.919 with a p-value of 0.063. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (2) is the correct answer.

The Levene's test is used to determine if the variances of two populations are equal or not. If the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variances are equal. In the given diagram, the Levene's test statistic is calculated as 0.42 with a p-value of 0.74. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (4) is incorrect.

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The value of n that makes a system of equations with a solution that has a y-value of 2 is n = 5

A system of equations is a pair of equation that contain two unknowns.

Given the system of equations

5x+6y= 32  (1)

2x + ny = 18  (2)

We desire the value of n where the value of y is 2

First, we make x subject of the formula from equation (1)

So, x = (32 - 6y)/5

Substituting x into equation (2), we have that

2x + ny = 18  (2)

2(32 - 6y)/5 + ny = 18  (2)

(64 - 12y)/5 + ny = 18

Multiplying through by 5, we have

64 - 12y + 5ny = 90

We now make n subject of the formula.

64 - 12y + 5ny = 90

- 12y + 5ny = 90 - 64

(- 12 + 5n)y = 26

-12 + 5n = 26/y

5n = 26/y + 12

n = 26/5y + 12/5

Since y = 2, substituting y into the equation, we have

n = 26/5(2) + 12/5

n = 26/10 + 12/5

n = (26 + 24)/10

n = 50/10

n = 5

So, the value of n = 5

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Answer:

Step-by-step explanation:

​ [(24÷12)⋅6]+3⋅8÷2 ​

2.Evaluate the expression.

​ (26÷13)⋅(−7)+14−4 ​

3.Simplify this expression.

9 + 3 × 2

15

21

24

48

4.What is the value of this expression?

6⋅[(32−8)÷4+2]

5.Simplify.

6y+5z+8y−3z

11y + 5z

14y +2z

14y + 8z

16yz

does this help

Answer:

(-5, 7)

Step-by-step explanation:

(x,y) over y= -x = (-y, -x)

(-7, 5) is turned to (-5, 7)

Answer:

What is this ?

Step-by-step explanation:

Sorry i can't answer it because i can't see it.

Answer:

It should be m∠FGH = m∠GFI

Step-by-step explanation:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

m∠FGH  and m∠GFI are alternate interior angles, so they are congruent.

Answer:

The correct statements about liquid volume are:

-One liter is 1,000 times larger than one milliliter. (This is because there are 1,000 milliliters in one liter)

-Liters are larger units than milliliters.

The solution for the system of equations is (-19,55).

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Putting the value of x in the equation y + 3x = -2.

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for a system of equations is (-19,55).

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Answer:

197.3

Step-by-step explanation:

To find the direction cosines and direction angles of the vector (7, 2, -3), we need to first calculate the magnitude of the vector. The direction cosines of the vector (7, 2, -3) are (7/√(62), 2/√(62), -3/√(62)) and the direction angles, correct to the nearest degree, are α ≈ 26°, β ≈ 15°, and γ ≈ 109°.

Next, we need to find the direction cosines of the vector. Direction cosines are the cosines of the angles between the vector and the x, y, and z axes. The direction cosines are given by the components of the vector divided by its magnitude.

The direction cosine of the x-axis is given by 7/√(62), the direction cosine of the y-axis is 2/√(62), and the direction cosine of the z-axis is -3/√(62). The magnitude of the vector is given by the square root of the sum of squares of its components. In this case, the magnitude is √(7² + 2² + (-3)²) = √(62).

Thus, cos(α) = 7/√(62), cos(β) = 2/√(62), and cos(γ) = -3/√(62). To find the direction angles, we need to take the inverse cosine of each direction cosine. This will give us the angle between the vector and each axis.

\(α = cos⁻¹(7/√(62)) ≈ 26°, β = cos⁻¹(2/√(62)) ≈ 15°,\) and\(γ = cos⁻¹(-3/√(62)) ≈ 109°.\) Therefore, the direction cosines of the vector (7, 2, -3) are (7/√(62), 2/√(62), -3/√(62)) and the direction angles, correct to the nearest degree, are α ≈ 26°, β ≈ 15°, and γ ≈ 109°.

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Answer:

there is no penalty if withdrawals are made for non-educational related expenses.

Step-by-step explanation: This part of Yin's summary is not accurate.

The conclusions that can be made about the two distributions are:

Options A and D are correct.

The means-to-MAD ratio is found by dividing the mean of a dataset by its Mean Absolute Deviation (MAD).

We have that in Data Set 1, the means-to-MAD ratio is 54/4 = 13.5, and in Data Set 2, the means-to-MAD ratio is 60/2 = 30.

Since the means-to-MAD ratio in Data Set 1 is 13.5 and in Data Set 2 is 30, we can conclude that the two distributions are not similar.

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Recall that the following definitions :

- mean: given a set of n data points, the mean is simply the sum of the data points divided by the total number of data points

-median: To calculate the median, you organize the data from least to greatest, the data point that has the exactly amount of data on the right and on the left, is the median. If the number of data points is even, you should add the two points that are "in the middle" and divide them by 2. Example

for the data set 5 4 2 3 1, if we organize it we get 1 2 3 4 5, so the median is 3. If we have the data set 1 2 3 4, there is no middle point, so we take 2 and 3, that are in the "middle" , we add them (2+3 =5) and divide them by 2 (2.5). So the median is 2.5

- the mode is the data point that has more observations, for example in the dataset 1 2 3 4 1 1 the mode is 1 since it appears 3 times.

a) The mean exists for every dataset. The median exists for every dataset that has more than two datapoints. In this case the mode is 63, so the three of them exist for this data set.

b) The smallest value is 31. Since we replace it by 27, the mean gets affected. Since we have the same amount of data and 27 is the smalles point, the median doesn't change. Since the occurrence of 27 is only one, the 27 remains unchanged. So only the mean changes.

c) If we remove 31, we will have less data, so the median changes. As before, the mean also changes. However, the mode remains the same.

d) If we calculate the mean of the dataset, we get that the mean is 61.5. The median is 63, so the median is greater.

Answer:

Step-by-step explanation:

(i) We know that more is the number of workers to do a job, less is the time taken to finish the job.

So, it is a case of inverse proportion.

(ii) Considering uniform speed, as the distance to be travelled increases, the time taken to cover it will also increase.

So, this is a case of direct variation.

(iii) Clearly, more is the area of cultivated land, more is the crop harvested.

So, it is a case of direct proportion.

(iv) We know that the more will be the speed of the vehicle, the distance will be covered in lesser time.

So, it is a case of inverse proportion.

(v) Clearly, more is the population, less is the area of land per person in a country.

So, it is a case of inverse proportion.

Answer:

Step-by-step explanation:

If y = 27 when x = 6, write the direct variation equation. If y = -7 when x = -14, write the direct variation equation and find y when x = 20. If x = 8 when y = 4, write the direct variation equation and find y when x = 5. y = 1/6x; If x = 36 when y = 6, find x when y = 42. If y = -16 when x = 4, find x when y = 20.

Answer:

\(\boxed{\tt (-2,3)}\)

Step-by-step explanation:

\(\tt -10x-5y=5\\ \underline{-4x+5y=23}\\-14x=28\)

\(\tt x=-2\)

\(\tt y=3\)

\(\tt (x,y) --\: \boxed{\tt (-2,3)}\)

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There is a 30.85% chance that someone will have to wait longer than 6 minutes.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

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 p-value, we get the probability that the value of the measure is greater than X.

z = (raw score - mean) / standard deviation

So,

We can write,

Mean of 6 minutes and variance = 1 minutes, hence:

Standard deviation = √variance = √1 = 1 minutes

For > 6 minutes:

z = (6 - 5)/2 = 1/2=0.5

P(z > 0.5) = 1 - P(z < 0.5)

P(z > 0.5) = 1 - 0.6915

P(z > 0.5) = 0.3085

Therefore,

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

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Answer:

I think the answer is D

Step-by-step explanation:

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer: 5.628975

Step-by-step explanation:

Add everything up to get $68.23

The surface area of the curve y = (1 - x^2)/36 revolved around the y-axis can be found using the formula A = 2π ∫[0, 1] √(36y - y^2) √(1 + (dx/dy)^2) dy, where x = √(36y - y^2). Evaluating this integral will provide the surface area of the generated surface.

To set up and evaluate the definite integral for the area of the surface generated by revolving the curve y = (1 - x^2)/36 about the y-axis, we can use the formula for the surface area of revolution. The formula is given by:

A = 2π ∫[a, b] x(y) √(1 + (dx/dy)^2) dy,

where x(y) represents the function defining the curve, and a and b are the corresponding y-values for the interval of interest.

In this case, we need to express x in terms of y by rearranging the given equation: x = √(36y - y^2). The interval of interest is 0 ≤ y ≤ 1, corresponding to the range of x values [0, 6].

Now, we substitute the expressions for x(y) and dx/dy into the surface area formula and evaluate the integral:

A = 2π ∫[0, 1] √(36y - y^2) √(1 + (dx/dy)^2) dy.

Simplifying and solving this integral will give us the final answer, rounded to three decimal places.

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No, It is not critical, to understand that population weight reduction is typically distributed. It is crucial to understand that the population's weight reduction is normally distributed.

according to our question-

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