17. El precio de los terrenos en Lima es proporcional al área e inversamente proporcional a su distancia con respecto al centro de la ciudad. Un empresario desea adquirir un terreno de 1200 m2 para instalar una pequeña planta procesadora que este localizada a una distancia máxima de 40 Km del centro de la ciudad. Si se sabe que un terreno de 900 m2 a 45 Km del centro de la ciudad cuesta S/ 250 000, ¿cuánto deberá pagar como mínimo dicho empresario para adquirir el terreno con las condiciones dadas?


Answers

Answer 1

Answer:

375000

Step-by-step explanation:

We have that in this case the following proportion would be fulfilled:

Price * Distance / area

Now, we have that for a distance of 45 km and an area of 900 m ^ 2 the price is 250,000, now for a distance of 40 km but with an area of 1,200 m ^ 2, how would the price be, we replace:

250000 * 45/900 = P * 40/1200

12500 * 1200/40 = P

P = 375000

Which means that for these conditions the price is 375000.


Related Questions

simplify the following algebraic expression. 3/4(1/2x-12)+4/5​

Answers

Answer:

Step-by-step explanation:

(3/8)x - 9 + 4/5

40(3/8x - 9 + 4/5)

15x - 360 + 32

15x - 328

Answer:

3/8 x - 7 1/5

Step-by-step explanation:

3/4 (1/2 x - 12) + 4/5

3/8 x - 8 + 4/5

15/40 x - 8 x 32/40

15/40 x - 7 8/40

15/40 x - 7 1/5

3/8 x - 7 1/5

Which are perfect cubes? Check all that apply. 64 x16 8x3 27x4 81x6 125x9

Answers

Answer:

A,C,F

Step-by-step explanation: I took the test :)

The expression 64 is perfect cube of 3.

The expression [tex]8x^{3][/tex] is the perfect cube of [tex](2x)^{3}[/tex].

The expression [tex]12x^{9}[/tex] is perfect square of [tex](5x^{3})^{3}[/tex]

We have to determine, which to the following is perfect cube.

According to the question,

A perfect cube is an integer that is equal to some other integer raised to the third power.

To obtain the perfect cubes of the expression, it can be determined in following steps.

The given expression is 64.

To convert it into perfect square written in small factor parts.

Therefore, 64 written as,

[tex]= 64\\\\= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\\\= (2)^{3} \times (2)^{3}\\\\= (2\times 2)^{3}\\\\=( 4)^{3}[/tex]

The expression 64 is perfect cube of 3.

The given expression is 16x.

To convert it into perfect square written in small factor parts.

Then,

16x can be written as,

[tex]= 16x \\\\= 2\times 2\times 2\times 2\times x\\\\= 2x.(2)^{3}\\[/tex]

The expression 16x is not perfect cube.

The given expression is [tex]8x^{3][/tex].

To convert it into perfect square written in small factor parts.

Then,

[tex]8x^{3}[/tex] can be written as,

[tex]= 8x^{3}\\\\= 2 \times 2 \times 2 \times x^{3}\\\\= (2)^3 \times {x^{3}}\\\\= (2x)^{3}[/tex]

The expression [tex]8x^{3][/tex] is the perfect cube of [tex](2x)^{3}[/tex].

The given expression is [tex]27x^{4}[/tex]

To convert it into perfect square written in small factor parts.

Then,

[tex]27x^{4}[/tex] can be written as,

[tex]= 27x^{4}\\\\= 3 \times3 \times3 \times x^{4}\\\\= (3)^{3} \times x \times x^{3}\\\\= x \times (3x)^3[/tex]

The expression [tex]27x^{4}[/tex] is not a perfect cube.

The given expression is [tex]81x^{6}[/tex]

To convert it into perfect square written in small factor parts.

Then,

[tex]81x^6[/tex] can be written as,

[tex]= 81x^{6}\\\\= 3 \times3 \times3 \times3 \times x^{6}\\\\= 3.(3)^{3} \times x^{3} \times x^{3}\\\\= 3 \times ( 3x^{2}) ^{3}[/tex]

The expression [tex]81x^{6}[/tex] is not a perfect cube.

The given expression is [tex]81x^{6}[/tex]

To convert it into perfect square written in small factor parts.

Then,

[tex]125x^{9}[/tex] can be written as,

[tex]=125x^{9}\\\\= 5 \times 5 \times 5 \times x^{3} \times x^{3} \times x^{3}\\\\= (5x^{3})^{3}[/tex]

The expression [tex]12x^{9}[/tex] is perfect square of [tex](5x^{3})^{3}[/tex]

To know more about perfect square click the link given below.

https://brainly.com/question/16780291

Based on the family the graph below belongs to, which equation could represent the graph? image below.

Answers

Answer:

y = 1/x+2 + 3

Step-by-step explanation:

x = -2

y = 3

Solve the equation.
6.35 + b = 9.89

Answers

Answer:

b=3.54

Step-by-step explanation:

9.89-6.35=3.54

Answer: b=3.54

Step-by-step explanation:

Subtract 6.35 from both sides and you will get that b=9.89-6.35 solve that and you will get that b= 3.54.

Which is the area of a square with one side that measures 1 foot?

A) 1 square inch
B) 100 square inches
C) 144 square inches
D) none of the above

Answers

None of the above so D

I need this quick because I am on Khan 2(3-8y)= ? Plz help
-her daughter

Answers

Answer:

6-16y

Step-by-step explanation:

Distribute, 2 x 3 and 2 x 8

6-16y

A car with 15 gallons of gasoline drives 420 miles until the tank is empty. Write a linear equation that describes the amount of gas left in the car, y, after driving x miles.

Answers

Answer:

[tex] y = -\dfrac{1}{28}x + 15 [/tex]

Step-by-step explanation:

The car uses 15 gallons of gasoline to drive 420 miles.

(15 gal)/(420 mi) = 1/28 gal/mi

The car uses 1/28 gallon of gasoline per mile.

y = mx + b

When x = 0, at the start of the drive, the car has 15 gallons of gasoline.

y = mx + 15

Then for every mile it travels, the amount  of gasoline goes down by 1/28 gal. For x miles of travel, it uses 1/28 * x gallons of gasoline.

[tex] y = -\dfrac{1}{28}x + 15 [/tex]

A particle moves on a straight line and has acceleration a(t)=24t+2. Its position at time t=0 is s(0)=3 and its velocity at time t=0 is v(0)=13. What is its position at time t=5?

Answers

Answer:

It's position at time t = 5 is 593.

Step-by-step explanation:

The velocity v(t) is the integral of the acceleration a(t)

The position s(t) is the integral of the velocity v(t)

We have that:

The acceleration is:

[tex]a(t) = 24t + 2[/tex]

Velocity:

[tex]v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K[/tex]

K is the initial velocity, that is v(0). Since V(0) = 13, K = 13

Then

[tex]v(t) = 12t^{2} + 2t + 13[/tex]

Position:

[tex]s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K[/tex]

Since s(0) = 3

[tex]s(t) = 4t^{3} + t^{2} + 13t + 3[/tex]

What is its position at time t=5?

This is s(5).

[tex]s(t) = 4t^{3} + t^{2} + 13t + 3[/tex]

[tex]s(5) = 4*5^{3} + 5^{2} + 13*5 + 3[/tex]

[tex]s(5) = 593[/tex]

It's position at time t = 5 is 593.

Students at an agricultural station conducted a study to compare geneticallymodified (GM) corn with regular corn. Each of 33 plots of land was divided intotwo half-plots; one half-plot was randomly selected to be planted with the GMcorn, and the other half-plot was planted with the regular corn.The table shows summary statistics for the yields, in bushels per acre, and thedifference in yield (GM minus regular) for each plot.MeanStandardDeviation n Minimum Q1 Median Q3 MaximumGM 125.018 13.623 33 107.4 111.9 127.5 138.0 144.0Regular 120.482 10.321 33 102.9 111.0 119.4 129.0 133.5Difference 4.536 6.444 33 –2.1 –0.9 3.0 6.0 20.1(a) Explain why the yields from one type of corn are not independent of the yields from the other type of corn.(b) Based on the summary statistics, would it be more likely to obtain a yield of 123 or more bushels per acre from a plot of GM corn or a plot of regular corn? Justify your answer.

Answers

Answer:

Step-by-step explanation:

The given data is represented in the attachment.

a) Explain why yields from one type of corn are not independent of the yields from the other type of corn.

Yields from one type of corn are not independent of the yields from the other type of corn because, as the corns are planted in two similar plots, they could compete during watering process, even the amount of nutrients shared and the type of air. This means one corn may get more nutrients than the other. Therefore, they are not independent (they are dependent).

b) Based on the summary statistics, GM is expected to more likely obtain yield greater than 123, because 123 is greater than mean for regular corn but less than mean for GM corn.

Thus,

P(yield>123|GM)>0.5; and P(yield>123|Regular)<0.5

If the angles are represented in degrees, find both angles: \cos(3x+13)=\sin(2x+42) cos(3x+13)=sin(2x+42)

Answers

Answer:

cos34°

sin56°

Step-by-step explanation:

Sin(2x+42)= sin90-(3x+13)

Sin(2x+42) = sin(90-13-3x)

Sin(2x+42) = sin(77-3x)

2x + 42 = 77-3x

5x. = 35

X = 7

If x = 7

cos(3x+13) = cos((3*7)+13)

cos(3x+13) = cos(21+13)

cos(3x+13)= cos34

And

sin(2x+42) = sin((2*7)+42)

sin(2x+42)= sin (14+42)

sin(2x+42) = sin56

What is the measure of angle 1 in the diagram below?*
D
18°
A
B
120°
E

Answers

Answer:

123

Step-by-step explanation:

(2k2 - 8k + k4) - (7k+8k^2-5k^4) simplify each difference. write the final answer in standard form. identify the leading coefficient and the constant. show all work

Answers

Answer:

-7k-8k^2+5k^4

Step-by-step explanation:

The outside temperature at 6:00 was 75º F. The temperature dropped 0.8ºF for the next 4 hours.What was the outside temperature after 4 hours?

Answers

Answer:

71.8° F

Step-by-step explanation:

Given 75° and 4 times 0.8° drop = 3.2°, so the temperature is 75° - 3.2°

= 71.8° F

A farmer plants corn in of his field. He plants white corn in of the corn

section of his field. This situation is shown in the model. What fraction of the

whole field is planted with white corn?

Answers

Answer:

3/20

Question:

A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn

section of his field. This situation is shown in the model. What fraction of the whole field is planted with white corn

Step-by-step explanation:

Portion of the field planted with corn = 1/4

Total corn planted = 1/4 of field

Portion of the corn section planted with white corn = 3/5

Total white corn planted = 3/5 of corn section

We need to find the portion of the total field planted with white corn

The fraction of the whole field planted with white corn would be the product of the fraction of Total corn planted and fraction of Total white corn planted

= 1/4 × 3/5

= 3/20

The fraction of the whole field planted with white corn = 3/20

1. Determine a rule that could be used to explain how the volume of a

Cylinder or cone is affected when the radius is multiplied by a positive

number.

Answers

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

                                  [tex]V_c = \pi *r^2*h[/tex]

- Similarly, the volume of cone ( V_c ) is represented by:

                                  [tex]V_c = \frac{1}{3}*\pi *r^2 * h[/tex]

Where,

               r : The radius of cylinder / radius of circular base of the cone

               h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

                                  [tex]V = C*r^2[/tex]

Where,

            C: The constant of proportionality

- Hence the proportional relation is expressed as:

                                 V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

                                [tex]V = C*(a*r)^2\\\\V = C*a^2*r^2[/tex]

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

                              [tex]V = (\frac{1}{3} \pi *r^2*h)*a^2[/tex]

                                          &

                              [tex]V = ( \pi *r^2*h)*a^2[/tex]

Is
1x7x6x7x89x7x33x188+4444-82x77x9999= 1073207806

Answers

Answer:

Yes

Step-by-step explanation:

Simplify the following:

1×7×6×7×89×7×33×188 + 4444 - 82×77×9999

1×7 = 7:

7×6×7×89×7×33×188 + 4444 - 82×77×9999

7×6 = 42:

42×7×89×7×33×188 + 4444 - 82×77×9999

42×7 = 294:

294×89×7×33×188 + 4444 - 82×77×9999

| | 2 | 9 | 4

× | | | 8 | 9

| 2 | 6 | 4 | 6

2 | 3 | 5 | 2 | 0

2 | 6 | 1 | 6 | 6:

26166×7×33×188 + 4444 - 82×77×9999

26166×7 = 183162:

183162×33×188 + 4444 - 82×77×9999

| 1 | 8 | 3 | 1 | 6 | 2

× | | | | | 3 | 3

| 5 | 4 | 9 | 4 | 8 | 6

5 | 4 | 9 | 4 | 8 | 6 | 0

6 | 0 | 4 | 4 | 3 | 4 | 6:

6044346×188 + 4444 - 82×77×9999

| | | 6 | 0 | 4 | 4 | 3 | 4 | 6

× | | | | | | | 1 | 8 | 8

| | 4 | 8 | 3 | 5 | 4 | 7 | 6 | 8

| 4 | 8 | 3 | 5 | 4 | 7 | 6 | 8 | 0

| 6 | 0 | 4 | 4 | 3 | 4 | 6 | 0 | 0

1 | 1 | 3 | 6 | 3 | 3 | 7 | 0 | 4 | 8:

1136337048 + 4444 - 82×77×9999

| | 8 | 2

× | | 7 | 7

| 5 | 7 | 4

5 | 7 | 4 | 0

6 | 3 | 1 | 4:

1136337048 + 4444 + -6314×9999

| | | | 9 | 9 | 9 | 9

× | | | | 6 | 3 | 1 | 4

| | | 3 | 9 | 9 | 9 | 6

| | | 9 | 9 | 9 | 9 | 0

| 2 | 9 | 9 | 9 | 7 | 0 | 0

5 | 9 | 9 | 9 | 4 | 0 | 0 | 0

6 | 3 | 1 | 3 | 3 | 6 | 8 | 6:

1136337048 + 4444 + -63133686

| | | | | | 1 | | | 1 |  

| 1 | 1 | 3 | 6 | 3 | 3 | 7 | 0 | 4 | 8

+ | | | | | | | 4 | 4 | 4 | 4

| 1 | 1 | 3 | 6 | 3 | 4 | 1 | 4 | 9 | 2:

1136341492 - 63133686

| | | | | | | 10 | | |  

| | 0 | 13 | | | 3 | 0 | 14 | 8 | 12

| 1 | 1 | 3 | 6 | 3 | 4 | 1 | 4 | 9 | 2

- | | | 6 | 3 | 1 | 3 | 3 | 6 | 8 | 6

| 1 | 0 | 7 | 3 | 2 | 0 | 7 | 8 | 0 | 6:

Answer: 1,073,207,806

Answer:

4.6570394e+12

Step-by-step explanation:

1. 1x7=7

2. 7x6=42

3. 42x7=294

4. 294x89=26166

5. 26166x7=183162

6. 183162x33=6044346

7. 6044346+4444=6048790

8. 6048790-82=6048708

9. 6048708x77=465750516

10. 465750516x9999=4.6570394e+12

what is the probability of choosing an even number from the set of numbers 1,2,3,4,5,6,7,8,9,10​

Answers

Answer:

the probability of getting an even numbers out of this set is 1/2

Step-by-step explanation:

The set of numbers are: 10

1,2,3,4,5,6,7,8,9,10

Even Numbers: 5

2,4,6,8,10

Probability = [tex]\frac{NumberOfFavourableOutcomes}{TotalNumberOfOutcomes}[/tex]

P = [tex]\frac{Even Numbers}{Total Numbers}[/tex]

P = [tex]\frac{5}{10}[/tex]

P = [tex]\frac{1}{2}[/tex]

So, the probability of getting an even numbers out of this set is 1/2

Answer:

The probability of this set of numbers is 1/2.

Step-by-step explanation:

Probability is the odds of an event happening. It is expressed by writing it as a fraction, decimal, or a percent.

The formula for probability is the number of favorable outcomes divided by the total number of outcomes. In this case, we have odd and even numbers. The even numbers in this set are 2, 4, 6, 8, and 10.

These are the favorable outcomes.

Since there are 5 even numbers, there are 5 favorable outcomes.

There are total of 10 outcomes. Therefore P(Even number)= 5/10.

Don't forget to always simplify. You can divide the numerator and denominator by 5. 5 divided 5 is 1 and 10 divided by 5 is 2.

Therefore, the probability of choosing an even number from this set of numbers is 1/2.

I hope this helps, and I hope you enjoy the rest of your day!

FIND THE SMALLEST ANGLE IN THE TRIANGLE! PLEASE HELP!! 25 POINTS!!

Answers

From the side/angle inequality, we see that the smallest angle of a triangle must be opposite its shortest side. In this case, that angle is opposite the shortest side [tex]\overline{AC},[/tex] so our answer is [tex]\boxed{\angle B}.[/tex]

As for finding its measure (which I'm aware the question probably didn't ask for), we can use the law of cosines:

[tex]5^2=6^2+7^2-2(6)(7)\cos B[/tex]

[tex]\cos B=\frac{5}{7}\implies\angle B\approx\boxed{44.4^\circ}.[/tex]

Answer:

Smallest Angle in the triangle is angle c.

Express the following number in scientific notation. 46,000,000 = _____ 4.6000 x 10 7 4.6 x 10 7 4.600 x 10 7 0.460 x 10 6

Answers

Answer:

4.6 x 10^7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

10+10+10-10+10+10+10​

Answers

Answer:

60

Step-by-step explanation:

=> 10+10+10-10+10+10+10+10

=> 30-10+40

=> 20+40

=> 60

Answer:

60

Step-by-step explanation:

10+10+10-10+10+10+10

Write this number in expanded notation 2,930,365

Answers

Answer:

2,000,000+900,000+30,000+300+60+5

Step-by-step explanation:

hope this helps and Please Rate brainliest!!!

What is 10 times larger than the 7 in this number 16372

Answers

Answer:

700

Step-by-step explanation:

I am slightly confused by your wording, but Im assuming you mean the expanded form.

In the base ten system, the second to last digit is the tens place. Therefore, the 7 represents 7*10 = 70

10 times larger than 70 is 700

What is the scale factor of the dilation?
1/8.... 1/4..... 4.... 8...?

Answers

Answer:

4

Step-by-step explanation:

When parallelogram FGHJ is dilated and translated to similar parallelogram F'G'H'J', the scale factor of dilation is 4.

What is dilation?

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

As visible,

FG = GH = JH = FJ = 2 units

F'G' = G'H' = J'H' = F'J' = 8 units

Scale factor of Dilation = 8/2 = 4 units

Learn more about dilation here

https://brainly.com/question/13176891

#SPJ2

There were 500 goats and geese on a farm. If I see 1,468 legs, how many of each are on the farm? Pls help now

Answers

Answer:

734

Step-by-step explanation:

divide 1468 by 2

Answer:

234 goats266 geese

Step-by-step explanation:

Let x represent the number of goats. The 500-x is the number of geese. The total number of legs is ...

  4x +2(500 -x) = 1468

  2x +1000 = 1468 . . . . . . . eliminate parentheses

  2x = 468 . . . . . . . . . . .subtract 1000

  x = 234 . . . . . . . . .number of goats

  (500 -x) = 266 . . number of geese

what is the answer to he equation to of x+3 x 4x-7

Answers

Answer:

4x^2 +5x -21

Step-by-step explanation:

(x+3) * (4x-7)

FOIL

first : x*4x = 4x^2

outer: -7x

inner: 3*4x =12x

last: -7*3 = -21

Add them together : 4x^2 -7x+12x -21

Combine like terms : 4x^2 +5x -21

Which is the graph of y = ⌊x⌋ – 2? On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 4) to (5, 4). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 4) to (5, 4). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, negative 5) to (negative 3, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 3) to (5, 3).

Answers

Answer:

On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2).

Step-by-step explanation:

The floor function graphs as horizontal segments 1 unit long, each 1 unit up from the segment to its left. It will have a closed circle at the left end of the segment, and an open circle at the right end.

Since 2 is subtracted from the floor of the x-value, the closed circle at the left end of the segment will have coordinates (x, x-2). The only offered choice meeting that condition is the 3rd choice listed here.

Answer:

c on edge

Step-by-step explanation:

I js did it tbh

Suppose that each customer asks to sample a food item with probability 1/4, independently of all other customers. The service time for a customer who samples a food item is an exponential random variable with parameter 1/5. i. What is the expected number of minutes until you reach the front of the line

Answers

Answer:

An approximately 2 minutes is expected to reach the front of the line

Step-by-step explanation:

Expected value of minutes =

(1/4)^(1/5) + (1 - 1/4)^(1/5)

= (1/4)^0.2 + (3/4)^0.2

= 0.7579 + 0.9441

= 1.702.

≈ 2 minutes

is it possible for a triangle to have the side lengths of 3, 8, and 13​

Answers

Answer:

No

Step-by-step explanation:

The longest side of a triangle must be less than the sum of the shorter two sides.

3 + 8 = 11.  13 is not less than 11.  So it is not possible for a triangle to have these sides.

Find the five-number summary for the data.
{238, 213, 223, 212, 225, 233, 230, 239, 223, 207, 219,
217, 234, 204, 212, 242}
A. 204, 212.5, 223, 233.5, 242
B. 204, 212, 223, 233, 239
OC. 204, 212, 219, 233, 242
OD. 207, 212, 223, 234, 239

Answers

Answer:

The correct option is A. 204, 212.5, 223, 233.5, 242.

Step-by-step explanation:

The five number summary of a data set is:

Minimum First Quartile Median  Third Quartile Maximum.

The data provided, in ascending order is:

S = {204 , 207 , 212 , 212 , 213 , 217 , 219 , 223 , 223 , 225 , 230 , 233 , 234 , 238 , 239 , 242}

There are a total of 16 values in the data set.

The minimum value is,

Minimum = 204

The first quartile is the median value of the first half of the data.

The first half of the data is:

S₁ = {204 , 207 , 212 , 212 , 213 , 217 , 219 , 223 }

The median for even number of observations is the mean of the middle two values.

[tex]\text{Q}_{1}=\frac{4^{th}+5^{th}}{2}=\frac{212+213}{2}=212.5[/tex]

The first quartile is 212.5.

The median for even number of observations is the mean of the middle two values.

[tex]\text{Median}=\frac{8^{th}+9^{th}}{2}=\frac{223+223}{2}=223[/tex]

The median of the data is 223.

The third quartile is the median value of the second half of the data.

The first half of the data is:

S₂ = {223 , 225 , 230 , 233 , 234 , 238 , 239 , 242}

The median for even number of observations is the mean of the middle two values.

[tex]\text{Q}_{3}=\frac{12^{th}+13^{th}}{2}=\frac{233+234}{2}=233.5[/tex]

The third quartile is 233.5.

The maximum value is,

Maximum = 242

Tiffany needs to rent a car while on vacation. The rental company charges $18.95, plus 17 cents for each mile driven. If Tiffany only has $50 to spend on the car rental, what is the maximum number of miles she can drive?

Answers

Answer: 182 miles.

Step-by-step explanation:

0.17x + 18.95 ≥ 50

        - 18.95     -18.95

0.17x = 31.05

x= 182

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