Suppose Set A contains 75 elements and the total number elements in either Set A or Set B is 84. If the Sets A and B have 26 elements in common, how many elements are contained in set B

Answer:

d

Step-by-step explanation:

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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Answer:

-1.06

Step-by-step explanation:

i took the test :)

Answer:

The mean is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

g=3

Step-by-step explanation:

6g + 3 = 21

6g=18

divide by 6

g=3

Hope this helps!!

There is no solution in this case. Finally, we write the solution set as:1 < x < 6

Given quadratic inequality is x² - 7x + 6 ≤ 0To find: solution set for this inequality.

The quadratic expression can be factorized as follows:x² - 7x + 6 = (x - 1)(x - 6)Now, the quadratic inequality can be written as:

(x - 1)(x - 6) ≤ 0

The product of two factors is less than or equal to zero only when one factor is positive and the other factor is negative.  

So, we consider two cases:

Case 1: (x - 1) > 0 and (x - 6) < 0

In this case, x > 1 and x < 6. But the inequality (x - 1) > 0 is redundant because it is already implied in (x - 6) < 0.

So, the solution is 1 < x < 6.Case 2: (x - 1) < 0 and (x - 6) > 0In this case, x < 1 and x > 6. But the inequality (x - 6) > 0 is redundant because it is already implied in (x - 1) < 0.

Therefore, there is no solution in this case. Finally, we write the solution set as:1 < x < 6

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Answer:

(-1,0)

Step-by-step explanation:

Answer:

X > -1

Step-by-step explanation:

The electric potential, V, is 73.63 N and the magnitude of the electric field is 12.00 V/m.

The given electric potential is,V=2xy²z³+3ln(x²+2y²+3z²) N

The components of the electric field can be found as follows,

E=-∇V=- (∂V/∂x) i - (∂V/∂y) j - (∂V/∂z) k

(a) To determine the potential at P(3, 2, -1), substitute x=3, y=2, and z=-1 in the given potential,

V=2(3)(2²)(-1)³ + 3 ln [(3)²+2(2)²+3(-1)²]= 72.32 N

(b) The magnitude of the potential is given by,

|V|= √ (Vx²+Vy²+Vz²)

The electric potential, V, is a scalar quantity. Its magnitude is always positive. Therefore,

|V|= √ [(2xy²z³)² + (3ln(x²+2y²+3z²))²]= √ [(-72)² + (16.32)²]= 73.63 N

(c) To determine the electric field E at P(3,2,-1), find the partial derivatives of V with respect to x, y, and z, and then substitute x=3, y=2, and z=-1 to obtain Ex, Ey, and Ez.

Ex = -(∂V/∂x)= -2y²z³/(x²+2y²+3z²) = -4.8 V/m

Ey = -(∂V/∂y)= -4xyz³/(x²+2y²+3z²) = -10.67 V/m

Ez = -(∂V/∂z)= -6xyz²/(x²+2y²+3z²) = 5.33 V/m

Therefore, the electric field E at P(3,2,-1) is, E=Exi+Eyj+Ezk=-4.8 i - 10.67 j + 5.33 k

(d) The magnitude of the electric field is given by,

|E|= √ (Ex²+Ey²+Ez²)= √ [(4.8)²+(10.67)²+(5.33)²]= 12.00 V/m

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Answer:

40

Step-by-step explanation:

1. List all the multiples

10,20,30,40

8,16,24,32,40

The equation of variation is y = k(xz) / (wp), where k is a constant. In this case, the equation becomes y = (7xz) / (27wp).

To find the value of k, we can substitute the given values of y, x, z, w, and p into the equation and solve for k. Plugging in y = 7/27, x = 7, z = 6, w = 3, and p = 27, we get:
(7/27) = (7 * 6 * k) / (27 * 3 * 27)
Simplifying the equation, we have:
(7/27) = (42k) / (2187)
To solve for k, we can cross-multiply and isolate it:
7 * 2187 = 27 * 42k
k = (7 * 2187) / (27 * 42)
Simplifying further, we find:
k = 7/18
Therefore, the equation of variation is y = (7xz) / (18wp).
In summary, the equation of variation is y = (7xz) / (18wp), where y varies jointly as x and z and inversely as the product of w and p.

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Answer:

1) 43/40

2) 35/6

3) 43/40

4) -5/3

5) 1/6

Step-by-step explanation:

1)  -1 4/5 = -(1*5 +4)/ 5= -9/5

or          1= 5/5  so -1 4/5= -( 5/5+ 4/5)=-9/5

-2 7/8= -(2*8+7)/8=-23/8

=> -9/5 - ( -23/8)= -9/5 + 23/8 = (( -9*8)+(23*5))/40= (-72+ 115)/40

                                                                                =  43/40

2) 4 3/4= (4*4+3)/4= 19/4

-1 1/12= -(1*12+1)/12= -13/12

=> 19/4 - (-13/12)= 19/4 + 13/12 = ((19*3)+13)/12= (57+13)/12= 35/6

3) same like 1)

4) 3 1/3 = (3*3+1)/3= 10/3

=> 10/3 -5= (10- 3*5)/3= (10-15)/3= -5/3

5) -1/3 + 1/2= ((-1*2)+(1*3))/6 = (-2+3)/6= 1/6

Answer:

8

Step-by-step explanation:

if a = -b, then -a = b.

plug that into the (b = -c) problem, and you get -a = -c, or a = c

if a and c ar equal, then and b = -c, b also equals -a.

the problem then becomes a - b +c, where a = 8, c = 8, and b = -8

a = -b -> 8 = -(-8)

b = -c -> -8 = -(8)

a = c -> 8 = 8

The weight of the Avery's lunch box using given weights is equal to 0.92 pounds (rounded to two decimal places).

Total weight of the backpack= 2 2/3 pounds

                                                = 8/3 pounds

The weight of the each book =7/8 pounds.

Let x be the weight of the lunch box in pounds.

An equation that represents the total weight in Avery's backpack,

2(7/8) + x = 8/3

To solve for x, simplify and solve for x,

⇒14/8 + x = 8/3

Multiplying both sides by 24 the least common multiple of 8 and 3 to clear the fractions,

⇒42 + 24x = 64

Subtracting 42 from both sides,

⇒24x = 22

Dividing both sides by 24,

⇒x = 22/24

Simplifying the fraction,

⇒x = 11/12

     =  0.92 pounds (rounded to two decimal places).

Therefore, the  weight of the lunch box is equal to 0.92 pounds (rounded to two decimal places).

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to determine wether the system has one solution, an infinite number of solutions or no solution at all we have to solve it.

We have the system:

Substracting the second equation from the first one we have:

Since we can find a value for the variable y we conclude that the system has only one solution.

The value of x can be found from the first equation once we have y:

The solution of the sytem is x=40 and y=11/3.

Answer:

the improper fraction is 6/3 and the mixed number is 1 2/3 these are the answers to your questions

Step-by-step explanation:

please mark me brainlest

A improper fraction and mixed number are,

⇒ 8/3 and 2 2/3

We have to given that,

An expression to solve,

⇒ 4 × 2/3

Now, We can simplify for the improper fraction and mixed number as,

⇒ 4 × 2/3

⇒ 8 / 3

⇒ 2 2/3

Therefore, A improper fraction and mixed number are,

⇒ 8/3 and 2 2/3

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Answer:

  \(\textbf{A. }0.25^{3/2}\)

Step-by-step explanation:

Perhaps your answer choices are ...

  \(\textbf{A. }0.25^{3/2}\\\textbf{B. }(\sqrt[3]{4})^2\\\textbf{C.}\sqrt[3]{16}\\\textbf{D. }0.25^{-2/3}\)

Of these, the one that is not equivalent to 4^(2/3) is ...

  \(\boxed{\textbf{A. }0.25^{3/2}}\)

The value of this is ...

  \(\left(\dfrac{1}{4}\right)^{3/2}=\sqrt{\dfrac{1}{4^3}}=\dfrac{1}{8}\ne4^{2/3}=\sqrt[3]{16}=(\sqrt[3]{4})^2\)

Answer:

85

Step-by-step explanation:

Since the exterior angles of a triangle always add up to 360:

360 - 133 - 142 = 85

Step-by-step explanation:

all 3 indicated angles are outside angles of a triangle.

the sum of all outside angles of any polygon is 360°.

so,

N = 360 - 133 - 142 = 85°

Answer:

-1/3

Step-by-step explanation:

-6--9= 3

-11--2=-9

-3/9=-1/3

Answer:

-0.33

Step-by-step explanation:

m=yB-yA/xB-xA  

m=-6/-11,-9/2

=-3/9

The required standard deviation of the new data set is 9.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

When 16 is added to each number in the data set, the variance of the new data set is not affected. The variance of a data set is the average of the squared deviations of the data values from the mean, and adding a constant to each data value shifts the mean but does not affect the deviations or their squares.

However, the standard deviation, which is the square root of the variance, will change because the standard deviation is expressed in the same units as the original data, while the variance is expressed in squared units. To find the standard deviation of the new data set, we need to take the square root of the variance, which is 81, and add 16 to each data value. The standard deviation of the new data set is equal to the square root of 81 + 16 = 9.

So, the standard deviation of the new data set is 9.

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Is this a question??????

:(

Answer:

yes, correct me if im wrong

Step-by-step explanation:

No it is not a direct variation or A

The pie must stay for 60 - x more minutes must the pie bake

Let the amount of time spent in the oven be x

So, we have

Total amount of time = 60 minutes

This means that

Remaining time + Amount of time spent = 60

This gives

Remaining time + x = 60

Evaluate

Remaining time = 60 - x

Hence, the pie must stay for 60 - x more minutes must the pie bake

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The probability of getting two red counters is 27.77%, the probability of getting two blue counters is 20.38%, and the probability of getting one of each color is 51.38%.

Given that Tina has two bags of counters, Bag A and Bag B, and there are 5 red counters and 3 blue counters in bag A, while there are 4 red counters and 5 blue counters in bag B, to determine, if Tina takes at random a counter from each bag, the probability of obtaining each counter, the following calculation must be made:

Therefore, the probability of getting two red counters is 27.77%, the probability of getting two blue counters is 20.38%, and the probability of getting one of each color is 51.38%.

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Answer:

answer: Volume sa Cellphone:)

a. The MRS is constant (not diminishing) at 1/3.

U(x,y) = 3x + y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / 3

The MRS is constant (not diminishing) at 1/3.

b. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

The MRS is diminishing because as y increases, the MRS decreases.

c. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.

d. The MRS depends on the ratio of y to x and can vary.

U(x,y) = x^2 - y^2

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x

The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.

e. The MRS depends on the values of x and y and can vary.

U(x,y) = x + y / (x * y)

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)

The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.

Now let's move on to the second part of the question:

For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.

To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.

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Answer:

Your answer would be B.

Step-by-step explanation:

Hope this helps!

Answer:

k = 2

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Replace variables

\(\frac{(k+3)-2}{3+1} =\frac{3}{4}\)

Step 2: Combine like terms

\(\frac{k+1}{4} =\frac{3}{4}\)

Step 3: Solve for k

k + 1 = 3

k = 2

Answer:

k=2

Step-by-step explanation:

The slope is 3/4

The slope formula is (y1-y2)/(x1-x2)

We can plug the values in

(2-k-3)/(-1-3)=3/4

Combine like terms

(-1-k)/-4=3/4

Cross multiply

-12= -4 - 4k

-8=-4k

k=2

Hope this helps!

Answer:

n=3

Step-by-step explanation:

Total distance represented by the simplified expression for which the car was tested equals option c. x² + 2x - 4 .

Total distance drive on flat road = x miles

Total distance drive on downhill =  (x²+ 3) miles

Total distance drive on uphill =  ( x - 7 ) miles

Simplified expression which is equivalent to total distance drive by a car

= Distance drive on ( flat road + downhill + uphill )

= ( x +  x²+ 3 + x - 7 ) miles

= ( x² + 2x - 4 ) miles

Therefore, the simplified expression equivalent to the total distance drive by a tested car is equal to option c.  ( x² + 2x - 4 ) miles.

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The above question is incomplete , the complete question is:

A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road,    (x²+ 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?

a.3x² _ 4

b. 3x² + 10

c. x² + 2x - 4

d. x² + 2x + 10

Answer:

12x =102-6

x=96/12

x=8 is the correct answer

Answer:

Answer is x=8.

Step-by-step explanation:

12x+6=102

12x+6-6=102-6

12x=96

12x/12=96/12

x=8

I hope it's helpful!

Step-by-step explanation:

1000000÷2=500000

1000000×.25= 250000

1000000× .08=80000

1000000-500000-250000-80000=620000