draw the graph of R = {(1,1), (2,2), (3,3), (4,4), (5,5), (1,4), (2,5), (4,1), (5,2)}

Answer:

She can overcome obstacles. ...

She is strong-minded. ...

She is soft-hearted. ...

She has integrity. ...

She has balance in her life. ...

She sets goals. ...

She is driven by a cause.

The exact circumferences of the inscribed and circumscribed circles for the given polygons are 8π cm and 15π cm, respectively.

To find the exact circumference of a circle inscribed or circumscribed by a polygon, we can use the Pythagorean theorem to determine the diameter of the circle.

In the case of an inscribed polygon, the diameter of the circle is equal to the diagonal of the polygon. Let's consider the polygon with a diagonal of 8 cm. If we draw a line connecting two non-adjacent vertices of the polygon, we get a diagonal that represents the diameter of the inscribed circle.

Using the Pythagorean theorem, we can find the length of this diagonal. Let's assume the sides of the polygon are a and b. Then the diagonal can be found using the equation: diagonal^2 = a^2 + b^2. Substituting the given values, we have 8^2 = a^2 + b^2. Solving this equation, we find that a^2 + b^2 = 64.

For the circumscribed polygon with a diagonal of 15 cm, the diameter of the circle is equal to the longest side of the polygon. Let's assume the longest side of the polygon is c. Therefore, the diameter of the circumscribed circle is 15 cm.

Once we have determined the diameter of the circle, we can calculate its circumference using the formula C = πd, where C is the circumference and d is the diameter.

For the inscribed circle, the circumference would be C = π(8) = 8π cm.

For the circumscribed circle, the circumference would be C = π(15) = 15π cm.

For more such questions on circumferences

https://brainly.com/question/27447563

#SPJ8

For this problem we know that a scale drawing has a scale of 0.25 in=6 ft and we want to estimate the lenght of the draw with an actual lenght of 66ft. In order to solve the problem we can set up the following proportional rule:

With x the desired value. If we solve for x we got:

And then the lenght of the draw it would be 2.75 in for an actual lenght of 66 ft.

Answer:

500,000

Step-by-step explanation:

You are rounding 467,532 to the nearest hundred thousand.

So, you're rounding the 4 either to the same number or the next number up.

It would remain the same if the next number in line is equal to four or less than zero.

It would round up to the next highest number if the next number in line is greater than 4 or equal to 9.

467,532 's next number behind the hundred thousand place is 6 which is greater than 4.

So, it would round up to 500,000

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

I think it's 3 1/6 kilograms

Step-by-step explanation:

3 5/6 + 1 4/5 since it increased

find the LCD (Least Common Denominator)

that would be 30

3 25/30 + 1 24/30

=4 49/30

= 5 19/30

Then we do subtraction since it lost some weight

5 19/30 - 2 7/15

find LCD again

5 19/30 - 2 14/30

=3 5/30

simplify

3 1/6 kilograms. That's what I think.

Answer:

I think the answer is 288.

Step-by-step explanation:

The positions are located at points A

In the given question Emily generated 10,000 random digits between 0 and 10 we have to find the approximate location of the median is in interval A/B/CV and the approximate location of the mean is in interval A/B/CV.

The mean can roughly be found in interval B, whereas the median can roughly be found in interval A.

How to find the median and mean's placement in a table

The mean

We can utilize the following inputs for our calculation as we got them from the question:

The histogram

We can observe from the histogram that it is a uniform histogram.

This indicates that the mean is in the middle.

So, we have

Mean = point A

The median

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

The histogram

We can observe from the histogram that it is a uniform histogram.

This indicates that the median is situated in the middle.

So, we have

Median = point A

Hence, the positions are located at points A

To learn more about mean and median link is here:

brainly.com/question/420522

#SPJ4

The complete question is:

Emily generated 10,000 random digits between 0 and 10. Here are the results:

Frequency

1000

800

600

400

200

04

A B

0 1 2 3 4 5 6 7 8 9 10

Digit

The approximate location of the median is in interval A/B/C

The approximate location of the mean is in interval A/B/C

Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

In the class, Lucy's score is 6.

In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.

The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.

Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.

Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:

2 + 2 + 4 + 7 = 15

Thus, the the corresponding score at the 15th position is 6.

Therefore, the median score is 6 and consequently Lucy's score is 6.

Learn more about median on:

https://brainly.com/question/14532771

#SPJ1

Answer:

34.4

Step-by-step explanation:

10% is the same thing as 0.1 so 344 times 0.1 is 34.4

A percent (%) is equal to 1/100 (We actually don't call that 'per''cent' for no reason)

So 10% is actually 10 times % which is:

\(10\% \\ 10(\frac{1}{100}) \\ \frac{10}{100} \\ \frac{1}{10}\)

If you get a calculator and calculate 1/10 the calculator should give 0.1

You might be taught that to get the decimal form from percent you just move the decimal point to the left twice (like 34% -----> .34) but if you do this, you are essentially dividing by 100 or multiplying by 1/100

now you know 10% is 0.1 the next thing to do is multiply it to 344.

\(344(\frac{1}{10}) \\ \frac{344}{10} \\ 34.4\)

Answer:

34.4

Step-by-step explanation:

344 x 1/10 = 34.4

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

Learn more about mean absolute deviation at: https://brainly.com/question/447169

#SPJ1

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

Answer:

θ = πk, 1.318+2πk, 4.965+2πk

Step-by-step explanation:

4sin(2θ) − 2sin(θ) = 0

8sin(θ)cos(θ) - 2sin(θ) = 0

2sin(θ)[4cos(θ)-1] = 0

2sin(θ) = 0

sin(θ) = 0

θ = πk

4cos(θ)-1 = 0

4cos(θ) = 1

cos(θ) = 1/4

θ ≈ 1.318+2πk, 4.965+2πk

Therefore, θ = πk, 1.318+2πk, 4.965+2πk

The parent function, f(x) = |x|, and the graph of the parent and translated function, gives the equation of the translated graph as; f(x) = |x + 3|

The given parent function is; f(x) = |x|

From the parent function, we have;

When x = 0, f(0) = 0

The graph of the parent function is therefore the red graph.

The location of the vertex of the translated graph is at (x - 2, y + 1)

Given that the slope of the image of the graph of the parent function is the same as the slope of the graph of the parent function, we have;

(x, y) → (x - 2, y + 1)

Therefore in the image, the coordinates of y = x + 3

Which gives the equation for the translated graph as; y = |x + 3|

Learn more about absolute value functions here:

https://brainly.com/question/21728802

#SPJ1

Answer:

.75

Step-by-step explanation:

Conditonal probability formula:

A|B= (A∩B)/B

let NH= Not heart

Let F= Face

NH|F= NH∩F/F

not hearth and face is 9

face is 12

9/12=.75

Answer:

21.4

Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

delta math told me! :)

The correct answer choice is; The experimental probability is less than the theoretical probability by more than 2%.

It follows from the task content that, upon evaluation;

The experimental probability upon evaluation = 4/48 = 1/12.

The theoretical probability upon evaluation = 1/8.

Consequently, it follows that the experimental probability is less than the theoretical probability by more than 2%.

Read more on experimental probability;

https://brainly.com/question/8652467

#SPJ1

Answer:

draw the diagram and multiply 5x20

Yes, A circle could be circumscribed about the quadrilateral below.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

A circle can be circumscribed around the four vertices of a quadrilateral

if and only if,

both pair of opposite angles inscribed in the quadrilateral are supplementary to each other.

By supplementary to each other we mean that their sum is equal to 180°.

we have,

In this case we have opposite interior angles supplementary to each other hence we can circumscribe a circle around it.

Such Quadrilateral are called cyclic quadrilateral.

Hence, Yes, A circle could be circumscribed about the quadrilateral below.

Learn more about circle here:

brainly.com/question/11833983

#SPJ7

The two triangles are ABC and ADC.

We know that AB = AD

The angle DAC is also equivalent to the angle BAC.

Therefore, since both triangles have a side AC, we can conclude that they are congruent accordong to the SAS argument

Answer:

311.3 feet

Step-by-step explanation:

1 yard = 3 feet

Therefore, 103.76 yards = 311.28 feet (by multiplying 103.76 by 3)

Rounding to the nearest tenth gives us 311.3 feet.

the regression line for the given data for upto two decimal places is y = -1.45x + 29.22.

Regression lines are lines that are employed in statistics to determine the connection between two variables. The value of one variable can be predicted using these lines depending on the value of another variable. For example, if we have data on the height and weight of a set of people, we may use a regression line to estimate  weight depending on their height. Utilizing a statistical technique called linear regression, which takes into consideration the data's variability and generates an equation that depicts the relationship between the two variables, regression lines are created. The value of one variable may therefore be predicted using this equation depending on the value of the other.

How to solve?

The average value of x is (1+2+3+4+5+6+7)/7 = 4.

The average value of y is (32.14+29.6+29.66+26.22+23.98+18.54+19.4)/7 = 26.42.

the sum of the products of the differences is (1-4)(32.14-26.42) + (2-4)(29.6-26.42) + (3-4)(29.66-26.42) + (4-4)(26.22-26.42) + (5-4)(23.98-26.42) + (6-4)(18.54-26.42) + (7-4)*(19.4-26.42) = -40.44.

The sum of the squares of the differences is (1-4)^2 + (2-4)^2 + (3-4)^2 + (4-4)^2 + (5-4)^2 + (6-4)^2 + (7-4)^2 = 28.

the slope of the regression line is (-40.44)/(28) = -1.45.

the y-intercept is 26.42 - (-1.45)*(4) = 29.22.

the regression line for the given data is y = -1.45x + 29.22.

To learn more about regression lines, visit:

https://brainly.com/question/14313391

#SPJ1

Answer:

7 Decenas = 70 Unidades espero que te ayude

Step-by-step explanation:

Answer:

27, 36

Step-by-step explanation:

We can write the first number as 9n because it is a multiple of 9, and the second number will be 9(n + 1). We can write:

9n + 9(n + 1) = 63 because they have a sum of 63.

9n + 9n + 9 = 63

18n + 9 = 63

18n = 54

n = 3

This means that the first number is 9 * 3 = 27 and the second is 9 * (3 + 1) = 9 * 4 = 36.

Answer:

The correct answer is Lorenzo

Answer: 10.84

Step-by-step explanation: First, you multiply the amount of money per pound times the actual weight of the things you're buying. (1.74 x 3 1/3 = 5.8) Then, you do the same for the walnuts. (1.92 x 2 5/8 = 5.04) Last but not least, you find the total cost of the nuts by adding them together. (5.8 + 5.04 = 10.84)

Hope this helps! Have a wonderful day.