According to Hatfield, which kind of love is about caring and intertwining your
life?
A. Attachment
B. Intimate love
C. Passionate love
D. Companionate love

The required mean and the standard deviation of the given data based on number of tickets is equal to 111.2 and 32.84 respectively.

Calculate the mean,

Add up all the values in the set and divide by the total number of values,

Mean

= ( Sum of all the observations ) / ( Total number of observations )

= (135 + 71 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85) / 12

= 1334 / 12

= 111.2

So the mean number of tickets sold is 111.2.

Standard deviation,

Calculate the standard deviation,

First need to calculate the variance.

The difference between each value and the mean, squaring those differences, adding them up, and dividing by the total number of values,

= ((135 - 111.2)^2 + (71 - 111.2)^2 + (69 - 111.2)^2 + (80 - 111.2)^2 + (158 - 111.2)^2 + (152 - 111.2)^2 + (161 - 111.2)^2 + (96 - 111.2)^2 + (122 - 111.2)^2 + (118 - 111.2)^2 + (87 - 111.2)^2 + (85 - 111.2)^2) / 12

= (566.44 + 1616.04 + 1780.84 + 973.44 + 2190.24 + 1664.64 + 2480.04 + 231.04 + 116.64 + 46.24 + 585.64+ 686.44) / 12

= 12937.68 /12

= 1078.14

Square root of the variance to get the standard deviation,

√1078.14= 32.84

So the standard deviation is approximately 32.84.

Therefore, the mean and the standard deviation is equal to 111.2 and 32.84 respectively.

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The above question is incomplete, the complete question is:

Susan keeps track of the number of tickets sold for each play presented at the community theater. within how many standard deviations of the mean do all the values fall?

135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85.

Answer:

180°

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

Your answer would be 1.8 because you would have to do 0.20x 9 and that gives you 1.8

Hope I was able to help!

We know that (A) odd integers represent the universal set.

So, we have:

Now, give logic as follows:

Therefore, we know that (A) odd integers represent the universal set.

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The probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

Assuming that each die is fair and that the outcome of rolling one die does not affect the outcome of rolling the others, the probability of rolling a 6 with the red die is 1/6, the probability of rolling a 5 with the green die is also 1/6, and the probability of rolling a 4 with the blue die is 1/6.

Since the three events of rolling each die are independent of each other, we can multiply their probabilities to get the probability of all three events happening at the same time, i.e., rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die:

Probability of rolling 6 with the red die = 1/6

Probability of rolling 5 with the green die = 1/6

Probability of rolling 4 with the blue die = 1/6

Probability of rolling 6 (R), 5 (G), 4 (B) at the same time = Probability of rolling R and G and B together = Probability of R × Probability of G × Probability of B

= 1/6 × 1/6 × 1/6 = 1/216

Therefore, the probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

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You have three dice: one red (R), one green (G), and one blue (B). When all three dice are rolled at the same time, calculate the probability of the following outcome: 6 (R), 5 (G), 4 (B)?

Answer:

52 years

Step-by-step explanation:

Let

Your age = x

3 times your age = 3 * x

= 3x

The equation can be written as:

400 - 3x = 244

400 - 244 = 3x

156 = 3x

Divide both sides by 3

x = 156/3

x = 52

Therefore,

Your age is 52 years

Answer:13.7

Step-by-step explanation:

To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.

To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the sample size

Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)

p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)

E is the margin of error

Plugging in the values for this scenario, we get:

n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2

n ≈ 862

Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.

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Answer:

7x+66=122

Hope this helps =]

Answer:

7x+66=122

Step-by-step explanation:

x+x+x+x+x+x+x+66=122

7x+66=122

7x=56

x=8

The area of the figure can be obtained by splitting the figure into smaller components

The area of the irregular figure = Area of A + Area of B + Area of C

Area of A = L X B = 12 x 7 = 84 sq meters

Area of B = L X B = 5 X 8 = 40 sq meters

Area of C = L X B = 5 x 8 = 40 sq meters

Total area = 84 + 40 + 40 = 164 sq meters

Answer:

\(\frac{dy}{dx}=8.5\)

Step-by-step explanation:

Let \(x\) denotes number of windows and \(y\) denotes the number of yards of fabric needed.

Stephen is making curtains for several windows in his aunt's house. He determines that he needs 8.5 yards of fabric for each window.

a. Equation becomes \(y=8.5x\)

This answer is already given in question.

b. To find rate of change in this situation, find \(\frac{dy}{dx}\)

\(y=8.5x\)

Differentiate with respect to \(x\)

\(\frac{dy}{dx}=8.5(1)=8.5\)

A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.

To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,

ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):

ML² = 20² + 20² - 2(20)(20)cos(50°)

ML² = 400 + 400 - 800cos(50°)

ML² ≈ 617.4

Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.

So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.

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Step/Answer:

The mistake begins at the line 3 where distrubting 2 in the expression. line 1 and line 2 both are correct. But line 3 is wrong.

\(2 {x}^{2} + 2x - 2 = 2 {x}^{2} - 18 \\ 2 {x}^{2} + 2x - 2 - 2 {x}^{2} + 18 = 0 \\ 2x - 2 + 18 = 0 \\ 2x + 16 = 0 \\ 2x = - 16 \\ x = - 8\)

\(2( {x}^{2} - 9) = (2 \times {x}^{2} ) + (2 \times ( - 9)\)

From line 3, you forgot to distribute 2 in -9.

Answer:

18= -6x+11

19= 2(x+1)

20= 11x+2

21= -6x+5

22= 33x-81

Answer: number 6 is the correct one

Step-by-step

all of the facts stated on that question are true

Answer:

In the explanation

Step-by-step explanation:

AB = line segment

ABC = angle

AB = line segment

CD = intersecting line

AC = line segment

AB = line segment

EBC = angle

BC = line segment

Answer:

where is the problem.....

Our world has always been faced with the problem of discrimination. It is one of the most discussed topics nowadays and throughout history. In all countries there is most likely at least one type of discrimination that affects different groups of people. The definition of discrimination is the denial of opportunity or equal rights for a specific group of people that may be differentiated by things such as their religion, color of skin, or gender. Discrimination can be confused with other terms such as prejudice and stereotype. The world we live in has been struggling with this sensitive subject for as long as we have recorded. Stereotypes are images held in our minds in regards to certain racial or cultural groups, without consideration of whether the images held are true or false. Stemming from stereotypes is prejudice. The prejudicial attitude occurs when we prejudge a person, good or bad, on the basis that the stereotypes associated with the person or group being prejudged are true. Discrimination is the combination of the terms mentioned above, but involves actually acting out with unfair treatment, directing the action towards the person or group. Prejudice and discrimination do not just occur racially, but it is found among gender, religion, culture, and geographical background. Remember that prejudice is a result of attitude and discrimination is a result of action.

Many people believe discrimination has made big steps forward, but has it really? If it has, why do people still get turned down, receive hate mail, or get ridiculed simply because they differ from each other. I guess these are questions we must ask ourselves. I guess you could also ask yourself if you have ever called anybody a name, looked at them different or judged them when you did not even know them or understand them. You may be thinking “That is not discrimination,” but, in fact, it is.

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ANSWER

28.285 units

EXPLANATION

We are given the square EFGH and we need to find the perimeter.

The perimeter of a square is given as:

P = 4 * L

P = 4L

where L = length of the side of the square

To find the length of the side of the square, we have to find the distance between a pair of adjacent vertices of the square.

Let us pick E(0, 5) and F(5, 0).

The distance between the two points is:

where (x1, y1) = (0, 5)

(x2, y2) = (5, 0)

Therefore, the length of the square (distance between the two points) is:

Therefore, the perimeter of the square is:

P = 4 * 7.071

P = 28.284 units

Answer: the point (3.667, 0.8)

Step-by-step explanation:

We want to find the point at which the lines:

h(x) = -(3/5)*x + (7/5)

and

k(x) = (-8/3)*x + (404/45)

If the lines intersect, then we must have:

h(x) = k(x)

if we write the functions we get:

-(3/5)*x + (7/5) = (-8/3)*x + (404/45)

Now we need to solve this for x.

-(3/5)*x + (8/3)*x = (404/45) - (7/5)

(8/3 - 3/5)*x = 404/45 - 63/45 = 341/45

(40/15 - 9/15)*x = 341/45

(31/15)*x = 341/45

x = (341/45)*(15/31) = 3.667

Now we can input this value of x in the functions to get the output.

h(3.667) = -(3/5)*3.667 + 7/5 = -0.8

Then the point where our points intersect is the point (3.667, 0.8)

Answer:

  18 square yards

Step-by-step explanation:

You want the area of a garden that fills a back yard that is 4 yd by 6 yd except for a patio that is 3 yd by 2 yd.

The area of the backyard is ...

  A = LW = (6 yd)(4 yd) = 24 yd²

The area of the patio is ...

  A = LW = (3 yd)(2 yd) = 6 yd²

Garden area

The garden area is the area of the backyard that is not taken up by the patio:

  24 yd² -6 yd² = 18 yd²

The garden covers 18 square yards.

__

Additional comment

You can compute this many ways. You can divide the garden area into rectangles or trapezoids, or you can recognize that the garden is 3/4 of the area of the back yard.

(You get two trapezoids by cutting the garden along a line between the upper left corner of the yard and the upper left corner of the patio.)

The expression 2^2020+2^2022=5.2^2020​ is proved below

From the question, we have the following parameters that can be used in our computation:

2^2020+2^2022=5.2^2020​

Express 2022 as 2020 + 2

So, we have the following representation

2^2020+2^(2020 + 2) = 5.2^2020​

When expanded, we have

2^2020+2^(2020) * 2^2 = 5.2^2020​

Factor out 2^2020

2^2020 * (1 + 2^2) = 5.2^2020​

Evaluate

2^2020​ * 5 = 5. 2^2020​

This implies that

5.2^2020​ = 5.2^2020​

HEnce, the expression has been proved

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Answer:

Round, no vertices, has a radius, closed 2 dimensional shape.

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

5 x 4 = 20 + 3 = 23

The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

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The domain and range of f(x) = -24 are given as follows:

The domain and range of f(x) = 0.5(x + 4)² - 11 are given as follows:

The range of y = -2x² + 12x - 13 is given as follows:

y <= 5.

The domain of a function is the set that contains all the input values that can be assumed by the function.

As neither of the functions in this problem have any restriction, the domain is all real values for the two of them.

The range of a function is the set that contains all the output values that can be assumed by the function.

The ranges are given as follows:

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The equation of the tangent line to the astroid at the point (-3√3, 1) is: y = -(3√3)^(1/3)x - 3(3√3)^(1/3) + 1

To find the equation of the tangent line to the astroid at the point (-3√3, 1), we need to first find the slope of the tangent line.

We can do this by taking the derivative of the equation of the astroid with respect to x, and then evaluating it at the point (-3√3, 1).

Taking the derivative of x²/³ + y²/³ = 4 with respect to x, we get:

(2/3)x^(-1/3) + (2/3)y^(-1/3) * dy/dx = 0

Solving for dy/dx, we get:

dy/dx = (-x^(1/3))/y^(1/3)

Substituting x = -3√3 and y = 1, we get:

dy/dx = (-(-3√3)^(1/3))/(1^(1/3)) = -(3√3)^(1/3)/1

So the slope of the tangent line at the point (-3√3, 1) is -(3√3)^(1/3).

Now we can use the point-slope form of the equation of a line to find the equation of the tangent line. The point-slope form is:

y - y1 = m(x - x1)

Substituting x1 = -3√3, y1 = 1, and m = -(3√3)^(1/3), we get:

y - 1 = -(3√3)^(1/3)(x + 3√3)

Simplifying, the equation of the tangent line to the astroid at the point (-3√3, 1) is:

y = -(3√3)^(1/3)x - 3(3√3)^(1/3) + 1

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There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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Answer:

both angles 1 and 2 measure 135°

Step-by-step explanation:

angle 1 = angle 2 = 135°

Hope this helps

Answer:

3+4=7

3/7*184=552/7=78.86

4/7*184=736/7=105.14