What is the length of ?

Enter your answer in the box.

[ ]units​

Answer:

(-3,1), (3,-2), (1,5), (4,6)

Step-by-step explanation:

For finding and inverse of a relationship, you simply just need to swap the x and y values. So the x will go into the y value and the y value will go into the x value.  

The inverse relation for the given relation is  {(-3, 1), (3, -2), (5, 1), (6, 4)}.

A relation in mathematics can be defined as a set of a pair of elements belonging to each set. It is also called as a mapping from one set to the other.

The given relation is { (1, -3), (-2, 3), (5, 1), (6, 4) }.

The domain of the given relation is set of all the first elements of each pair and the range is the set of all the second elements of each pair.

The range and domain set can be written as,

Domain = {1 , -2, 5, 6 }

Range =   {-3, 3, 1, 4}

In order to find the inverse relation the domain and range sets sre interchanged.

Thus, the inverse relation for the given relation can be written as,

{(-3, 1), (3, -2), (5, 1), (6, 4)} .

Hence, the inverse relation is given as {(-3, 1), (3, -2), (5, 1), (6, 4)}.

To know more about relation click on,

https://brainly.com/question/6241820

#SPJ2

Answer:

Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...

Step-by-step explanation:

Answer:

Is false because the Italian regions are partly bathed by the sea

Step-by-step explanation:

Given the following data: n = 220, x = 29.9 hg, s = 7.3 hg, confidence level = 98%.To find the confidence interval estimate of the mean at a 98% confidence level, we use the following formula: CI = x ± Zα/2 * σ/√n Where Zα/2 is the Z-value for the 98% confidence level and is calculated as follows:

Zα/2 = 1 - (α/2)Zα/2 = 1 - (0.98/2)Zα/2 = 1 - 0.49Zα/2 = 0.51From the above formula and calculation, we can find the confidence interval for μ as follows: CI = 29.9 ± 0.51(7.3/√220)CI = 29.9 ± 0.97CI = (28.93, 30.87)This indicates that we are 98% confident that the true mean weight of newborn girls falls between 28.93 hg and 30.87 hg.Next, we need to compare these results with a confidence interval estimate from a different sample set which has only 16 sample values. From this sample set, we have: x = 29.7 hg, s = 3.1 hg. Using a 98% confidence level, we have the following: CI = x ± Zα/2 * σ/√nWhere n = 16, Zα/2 = 0.51 (from above), Comparing the two confidence intervals, we see that they do overlap quite a bit, but they are not identical. The first confidence interval (from the larger sample) is (28.93, 30.87) while the second confidence interval (from the smaller sample) is (29.31, 30.09).

To know more about estimate visit:

https://brainly.com/question/30870295

#SPJ11

Step-by-step explanation:

Since the initial fee is fixed, we can assume it is a constant and the succeeding mile fee is the variable as it changes for every mile covered.

Let x = distance (mile)

let y = total charge (dollars)

Yellowcab company equation for cost calculation;  3.50 + 2.5x = y

laxicab company equation for cost calculation;  4.54+2.3x = z

the two companies charge the same amount when y = z

; 3.50 + 2.5x = 4.54+2.3x

x = 5.2 miles

COST CALCULATION

;3.50 + 2.5x = ?

if x = 5.2;

; 3.50 + 2.5(5.2) =$16.50

OR

; 4.54+2.3x = ?

; 4.54 + 2.3(5.2) = $16.50

Answer:

Fghcv

Step-by-step explanation:

Gvhv

Answer:

- 20/27

Step-by-step explanation:

Answer:

Exact Form: 20 /27

Answer:

a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by unique edge

Answer:

Probability is 0.552, or about 55%

Step-by-step explanation:

first there are 20 marbles in total: odds are 15/20 = 3/4

Then, there are 19 marbles in total : odds are 14/19

So the odds of both of them being blue are: 3/4 * 14/19 = 0.552 (rounded to the thousandths place)

Please give brainliest thanks!

Answer:

DE = 2.5 feet

Step-by-step explanation:

The Two-Tangent Theorem say that if two tangents (DE and FE in our case)  to the same circle ( circle G in our case) are drawn from the same external point (point E in our case) then they are congruent.

If DE ≅ FE then their measures  are equal 3x -3.5 = x +0.5

Solve for x

3x -3.5 = x+0.5, add 3.5 and subtract x from both sides

 3x -x  = 3.5 +0.5, combine like terms

      2x = 4 , divide both sides by 2

       x =2

Substitute x = 2 into DE = 3x -3.5

DE = 3*2  -3.5 = 6 -3.5 = 2.5

a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

Read more about percentages:

https://brainly.com/question/24304697

#SPJ4

Answer:

The prize for the first one to brake that glass in the grass during a train moving will get a free VIP pass to the tourtament of cricket, also it will need to bring a towel to dry yourself in the pool included.

Answer:

1. I Will be taking a break from schoolwork today.

2. It is so quiet, I can hear crickets chirp.

3. The sun will soon dry up the puddles.

4. The frog hopped away when I ran towards it.

5. The sheep grazed on the grass.

6.The prize for the competition was $20.

7. I have to walk to campus because I missed the train.

Step-by-step explanation:

Also tag the question as English not math.

The probability that at least one of the calculators is defective is approximately 0.522.

First, we need to find the probability that none of the calculators are defective.

The probability that the first calculator selected is not defective is 39/52. The probability that the second calculator selected is also not defective is 38/51. The probability that the third calculator selected is not defective is 37/50. And finally, the probability that the fourth calculator selected is also not defective is 36/49.

So, the probability that all four calculators are not defective is:

(39/52) * (38/51) * (37/50) * (36/49) ≈ 0.478

Therefore, the probability that at least one of the calculators is defective is:

1 - 0.478 ≈ 0.522

So, the probability that at least one of the calculators is defective is approximately 0.522.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

ANSWER

(5, 4)

EXPLANATION

We are given that C is the midpoint from A to B.

First, we have to find the coordinates of point C.

To do that, we apply the formula for midpoint of two points:

where (x1, y1) and (x2, y2) are the two points.

The coordinates of A and B are (-3, 8) and (9, 2)

Therefore, the coordinate of C is:

Point D is given to be one-third the distance between C and B.

This means that we want to partition the distance between C and B into 3, where D is the point 1/3 that distance away from C.

To find D, we have to find the difference between the coordinate points of C and B, find 1/3 of that, then, add that to the coordinate of C:

Adding that to the coordinates of C:

That is the coordinate of D.

Answer:

A = 43°

b = 25.8 (3 sig. fig.)

c = 14.5 (3 sig. fig.)

Step-by-step explanation:

Using angle sum of triangle, we get A = 180 - 104 - 33 = 43°

Using sin law,

b/sin104 = 18.1/sin43

b = 25.8 (3 sig. fig.)

c/sin33 = 18.1/sin43

c = 14.5 (3 sig. fig.)

The system of inequality for the problem is

x +  y ≤ 12

22x + 10y ≥ 170

y ≥ 2

And we have identified the solution of these inequality as (4.167,7.833)

System of inequality

System of inequalities consists of at least two linear inequalities in the same variables. And the solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

Given,

Abigail is working two summer jobs, making $22 per hour tutoring and making $10 per hour landscaping. In a given week, she can work a maximum of 12 total hours and must earn at least $170. Also, she must work a minimum of 2 hours landscaping.

Here we need to find the system f inequality, then plot it on the graph to identify the solution of it.

Let us consider the following:

x refers the number of hours spent tutoring

y refers the number of hours spent landscaping.

Cost for 1 hour of tutoring = $22

Cost for 1 hour of landscaping = $10

So, we know that, she can work a maximum of 12 total hours, so it can be written as,

x + y ≤ 12

And she must earn at least $170,

22x + 10y ≥ 170

Here we also know that, she must work a minimum of 2 hours landscaping, so,

y ≥ 2

When we plot these inequality then we get he graph like the following.

While we looking into the graph, we have identified that the solution is (4.167,7.833) which means 4.167 hours of tutoring and 7.833 hours of landscaping will earn $170.

To know more about System of inequalities here.

https://brainly.com/question/19526736

#SPJ1

Using the simplex method, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

To solve the linear program using the simplex method, we start by converting the problem into standard form with all constraints in the form of inequalities and non-negative variables. The initial tableau for the problem is as follows:

 |   x1  |   x2  |   s1   |   s2   |   b   |

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

z |  -3   |   6   |   0    |   0    |   0   |

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

s1|   5   |   7   |   1    |   0    |   35  |

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

s2|  -1   |   2   |   0    |   1    |   2   |

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

Next, we perform the simplex iterations to improve the objective function value. After performing the necessary row operations, we arrive at the final tableau:

 |   x1  |   x2  |   s1   |   s2   |   b   |

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

z |   0   |   1   |  3/2   |  -1/2  |   14  |

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

s1|   0   |   0   |   4    |   3    |   5   |

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

s2|   1   |   0   |  -1/2  |   5/2  |   3   |

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

From the final tableau, we can see that the optimal solution is z = 14, with x1 = 0 and x2 = 5. The decision variable x1 is at its lower bound, indicating that it is non-basic. Therefore, there are no alternative optimal solutions in this case.

In summary, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

Learn more about simplex method here:

brainly.com/question/15801083

#SPJ11

Answer:

59.8741928

Step-by-step explanation:

132lbs to kg is 59.8741928

This question is incomplete

Complete Question

Lucy keeps track of how long it takes her to do the newspaper's crossword puzzle each day. Her recent times, in minutes, were: 8 22 19 12 18 19 10 35 12 19 16 21

a. What is the median of her data? b. What is the mean?

Answer:

a) 18.5

b) 17.583

Step-by-step explanation:

8 22 19 12 18 19 10 35 12 19 16 21

a. What is the median of her data?

The first step is to rearrange the numbers for least to greatest

8, 10, 12, 12, 16, 18, 19, 19, 19, 21, 22, 35

The formula for median = (n + 1)/2

n = number of terms = 12

= (12 + 1)th/2

= 13/2

= 6.5 th value

This means the value is between the 6th and 7th value

= 6th value = 18

7th value = 19

Hence, Median = 18 + 19/2

= 18.5

b. What is the mean?

Mean = Sum of terms/ Number of terms

= 8+ 10+ 12+ 12+ 16+18+19+19+19+21+ 22+35/12

= 211/12

= 17.583333333333

Answer:

a) 18.5

b) 17.583

Step-by-step explanation:

8 22 19 12 18 19 10 35 12 19 16 21

a. What is the median of her data?

The first step is to rearrange the numbers for least to greatest

8, 10, 12, 12, 16, 18, 19, 19, 19, 21, 22, 35

The formula for median = (n + 1)/2

n = number of terms = 12

= (12 + 1)th/2

= 13/2

= 6.5 th value

This means the value is between the 6th and 7th value

= 6th value = 18

7th value = 19

Hence, Median = 18 + 19/2

= 18.5

b. What is the mean?

Mean = Sum of terms/ Number of terms

= 8+ 10+ 12+ 12+ 16+18+19+19+19+21+ 22+35/12

= 211/12

= 17.583333333333

Answer:

it's 4.

Step-by-step explanation:

4 is the correct answer

The person years incidence rate of cardiovascular disease (CVD) in the given study population can be calculated as follows:

At the start, there were 50 women who were healthy.10 women developed CVD after each was followed for 2 years.

Therefore, the total time for which 10 women were followed is 10 × 2 = 20 person-years.

The 10 different women were followed for 1 year and then were lost. They did not develop CVD during the year they were followed.

Therefore, the total person years for these 10 women is 10 × 1 = 10 person-years.

The rest of the women remained non-diseased and were each followed for 4 years.

Therefore, the total person years for these women is 30 × 4 = 120 person-years.

Hence, the total person years of follow-up time for all the women in the study population = 20 + 10 + 120 = 150 person-years.

Therefore, the person years incidence rate of CVD in the study population is:

(Number of new cases of CVD/ Total person years of follow-up time) = (10 / 150) = 0.067

The person-years incidence rate of CVD in the study population is 0.067. This means that out of 100 women who are followed for one year, 6.7 women would develop CVD. This calculation is important because it takes into account the duration of follow-up time and allows for comparisons between different populations with different lengths of follow-up time.

To know more about different lengths visit:

brainly.com/question/29503620

#SPJ11

Answer:

Area=57.75 m squared

Step-by-step explanation:

Area= L x W

Area= 11 x 5.25

Area=57.75 or 57 3/4

Answer:

4

Step-by-step explanation:

the smaller triangle is the larger triangle divided by 4 so 16÷4 is 4.

Caliban's diminished threat and importance by the end of the play serves a specific purpose in Shakespeare's "The Tempest." It highlights the theme of colonization and power dynamics, as well as challenges stereotypes and prejudices associated with "the other."

Caliban, initially depicted as a savage and dangerous creature, gradually loses his menacing presence as the play unfolds. This transformation is intentional, aiming to convey a deeper message about the dehumanizing effects of colonization. By the end, Caliban's character becomes a symbol of the oppressed and marginalized, reflecting the consequences of exploitation and subjugation. Through this portrayal, Shakespeare prompts the audience to question their preconceived notions and biases, challenging the notion that power and civility are inherently linked to physical appearance or societal status. Additionally, Caliban's character serves as a contrast to the other characters in the play. While Prospero represents civilization and control, Caliban embodies the natural and untamed. This stark dichotomy underscores the broader theme of the clash between the civilized and the wild. Ultimately, Caliban's transformation serves to provoke introspection and stimulate conversations about the treatment of those deemed different or inferior in society.

Learn more about "The Tempest" here:

https://brainly.com/question/28060016

#SPJ11

Answer:

Step-by-step explanation:

The amounts are x (me) and y (sister).

If I give my sister 5 dollars, then we will have the same amount of money:

If she gives me 8 dollars, then I'll have twice as much money as she has:

Compare the equations and solve for y:

Find x:

The probability that the sample average amount of time taken on each day is at most 11 min is 0.210.

Given data,

The time it takes a randomly chosen mortgage applicant to complete a certain form has a normal distribution with a mean value of 8 minutes and a standard deviation of 4 minutes. What is the likelihood that the sample average time taken on each day is at most 11 minutes if five people complete out a form on one day and six on another?

The normal distribution is a continuous distribution of data that has a bell-shaped curve. The normally distributed random variable x has to mean μ and standard deviation σ.

Also, the standard normal distribution represents a normal curve with a mean of 0 and a standard deviation of 1. Thus, the parameters involved in a normal distribution are mean μ and standard deviation σ.

Standardized z-score:

The standardized z-score represents the number of standard deviations the data point is away from the mean.

→ If the z-score takes a positive value when it is above the mean (0).

→ If the z-score takes a negative value when it is below the mean (0).

Let,

X ~ N = [x,σ/√n]

z = X - μ/ σ/√n

The probability that the sample average amount of time taken on each day is at most 11 min is obtained below,

From the given information, the sample size for the first day is 5 and the sample size for the second day is 6.

P(X ≤ 11 and Y ≤ 11) = P(X ≤ 11) * P(Y ≤ 11)

                               = P(z ≤ 1.67) * P(z ≤ 1.83)

                               =  0.452 * 0.466

                               = 0.210

Hence, the probability that the sample average amount of time taken on each day is at most 11 min is 0.210.

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

Answer:

\(a_{n}\) = 8\((-3)^{n-1}\)

Step-by-step explanat

There is a common difference r between consecutive terms, that is

r = - 24 ÷ 8 = 72 ÷ - 24 = - 3

This indicates the sequence is geometric with explicit formula

\(a_{n}\) = a\((r)^{n-1}\)

where a is the first term and r the common ratio

Here a = 8 and r = - 3 , thus

\(a_{n}\) = 8\((-3)^{n-1}\)

Answer (-2,-3)

Step-by-te exnation:

multiply the equation by number

Answer: 79.2!!!!!!!!!

Step-by-step explanation:

If you are here from delta math this is the answer

The volume of the cylinder is 150.72 mm³.

The volume of a cylinder can be calculated using the formula:

V = πr²h

where r is the radius and h is the height

We have:

r = 4 mm

h = 3 mm

Substituting into the formula:

V = 3.14 * 4² * 3

V = 150.72 mm³

Learn more about volume of cylinder on:

brainly.com/question/9554871

#SPJ9

Question in English

Check the attached image