¿Cuántas personas encuestadas se comunican más de 77 minutos?
AYUDA POR FAVOR ES DE APRENDO EN CASA

Answers

Answer 1

Respuesta:

se comunican 27 personas 9 +14+4=27 personas

Explicación paso a paso:

para resolver vean los datos en la tabla de frecuencia que van a desarrollar

observamos el intervalo [77; 81[ a partir de el determinamos la cantidad de personas que se comunican 77 minutos o mas minutos


Related Questions

A shirt that normally costs $35.00 is on sale for 28.00. What is the percent discount?

Answers

Answer:

$25.20

Step-by-step explanation:

$35 x 0.28

= $9.80

35-9.80

= $25.20

Answer:

20%

Step-by-step explanation:

35 x .2 = 7

35 - 7 = 28

Hope this helps & best of luck!

Feel free to message me if you need more help! :)

As an estimation we are told £3 is €4.
Convert €65.90 to pounds.
Give your answer rounded to 2 DP.

Answers

Answer:

49.43£

Step-by-step explanation:

Given that £3 is equal to €4

There fore one euro is equal to

£3  = €4

1 € = 3/4 £ = 0.75 £(pound)

to find value of €65.90 in terms of pound we multiply both side of above equation with 65.90

=> 65.90 € = 0.75 * 65.90 £

=>  65.90 € = 49.425£ (Answer)

65.90 € is equal to 49.43 rounded to two decimal points.

The human eye can sharply see objects within a 15 Dagrees horizontal angle either side of the direction of focus. Arlo is designing a video presentation to be shown on a cylindrical screen that viewers will stand inside. The screen circumference is 120 feet. What is the maximum width of an image that can be viewed clearly in a glance from somewhere in the viewing area?

Answers

Answer:

Maximum width of image that can be viewed clearly on the cylindrical screen is 10 ft

Step-by-step explanation:

Here we have

Circumference of screen = 2πr = 120 ft

Angle that can be viewed horizontally either side of focus = 15°

Total angle view = 30°

Size of image that can be viewed = Object within 30° of focus

Maximum width of image that can be viewed clearly = Perimeter of 30° arc section of cylinder

Maximum width of image that can be viewed clearly = 30/360×120 ft = 10 ft.

Maximum width of image that can be viewed clearly on the cylindrical screen = 10 ft.

On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day.

(a) Find P(X = 75).
(b) Find P(X ≤ 75).
(c) Find P(X > 50).
(d) Find P(X < 100).
(e) Which of the probability expressions in parts (a)–(d) is a value of the CDF?

X 25 50 75 100 Total
P(X) .20 .40 .30 .10 1.00

Answers

Answer:

a) P(X = 75) = 0.30

(b) P(X ≤ 75)

= 0.2 + 0.4 + 0.3 = 0.90

(c) P(X > 50).

= 0.3 + 0.1 = 0.40

(d) P(X < 100)

= 0.2 + 0.4 + 0.3 = 0.90

(e) parts b, c & d are CDF

Answer:

the answer is C,D,B enjoy your day

Step-by-step explanation:

Use the change of base formula to evaluate the logarithms to the nearest thousandth.
log36 =
log520 =
log2(1/5) =

Answers

Answer:

1.631

1.861

-2.322

Step-by-step explanation:

The value of logarithm log₅20 is 1.861.

What are logarithms?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

The given logarithms are log₃6, log₅20 and log₂(1/5).

We have change of base formula: logₐx= logₙx/logₙa

Here, log₃6 = log₁₀6/log₁₀3

= 0.7781/0.4771

= 1.6308

≈ 1.631

log₅20 = log₁₀20/log₁₀5

= 1.3010/0.6989

= 1.8614

≈ 1.861

log₂(1/5) = log₁₀(1/5)/log₁₀2

= -0.6989/0.3010

= -2.3219

≈ -2.322

Therefore, the value of logarithm log₅20 is 1.861.

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Mrs. Ting cut each pizza into 8 slices. Together the children ate 12 3 4 pizzas. If each child ate two slices of pizza, how many children were at the party?

Answers

Answer:

Hence there were total of 19 pizza and were ate among the 76 children in party.

Step-by-step explanation:

Given:

8 slices for each pizza

No of pizza ate are =12+3+4=19

To Find:

How many children were are party

Solution:

Given that each children ate 2 slices per head so

Total pizza=19

and each pizza is sliced in 8 parts so

19 pizza will give =19 *8=152 slices

Hence there are 152 total number of slices

So 2 slices/child and 152 slices

152 slices/ 2 slices/child

=(152/2)children

=76 children.

A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. Answer parts a and b.
a. To what percent of its capacity is the large container​ filled?
b. (I have to finish part a first)

Answers

Answer:

I believe A. is 82.352941176471%

Step-by-step explanation:

Can someone please help me

Answers

Answer:

5.83 or E

Step-by-step explanation:

Use Pythagorean theorem. 5^2+3^2=c^2 because the diameter is perpendicular it cuts the chord in half.

25+9=c^2  

34=c^2

5.83

Answer:

x = 5.83.

Step-by-step explanation:

The diameter bisects the vertical chord so the right triangle has legs 3 and 5.

So x^2 = 3^2 + 5^2

x^2 = 34

x = 5.83.

That is odd - if we work it out another way we get a different answer. I guess that must be because the numbers given in the diagram are not possible.

If we use the intersecting chords theorem,  we get (3+6)*3 = 27

= 5 * y where y is the other leg of the right triangle giving y = 5.4

and then this will give x = 6.18.

What is 3× 1/10 in decimal notation? ​

Answers

Answer:

.3

Step-by-step explanation:

3* 1/10 = .3

.3 is decimal notation

Answer:

0.3

Step-by-step explanation:

1/10 in decimal notation is 0.1 so multiplying it by 3 = 0.3

Find the area of the circle. Round your answer to the nearest tenth. PLEASE HELP QUICK!!!

Answers

Area = pi * r * r = 3.14 *14 * 14 = 615.4


Solve for x in the triangle round your answer to the nearest tenth

Answers

Answer:

8,55

Step-by-step explanation:

use trigonometric functions

Eiko is wearing a magic ring that increases the power of her healing spell by 30% without the ring her healing spell restores H health points which expressions could represent how many health points the spell restores when eiko is wearing the magic ring

Answers

When wearing the magic ring, health points increase by 30% more.

Some expressions that could represent how many health points the spell restores are:

1.3(H)

H + 0.3(H)

Hope this helps!! :)

The healing spell with the magic ring restores 130% of the health points, represented as 1.30 imes H.

If Eiko's healing spell restores H health points without the magic ring, then with the ring, the spell's power increases by 30%. Thus, the total healing power with the ring can be expressed as H + 0.30 x H, which can also be simplified to 1.30 x H. This means, with the ring, Eiko would restore 130% of the health points that the spell would normally heal without the ring.

Help PLEASE!

Identify the volume of a sphere with surface area 144πm2. Give your answer in terms of π.

V = 144π m3
V = 7776π m3
V = 288π m3
V = 3888π m3

Answers

I think it is the 3rd one but I don’t know if that is right
The third one is the answer you have to do on caculator

Hey pls answer my simple question. <3

Answers

Answer:

adult ticket would cost 4.5 after the 45% discount and the childs ticket would cost 2.4 after the 40% discount

(i converted 2/5 into a percentage which left me with 40%)

each time the family goes to the movies the family saves 9.1

(assuming its one adult and one child)

so 40/9.1= 4.39 and round it to 4

question A

adult ticket after discount=4.5

child ticket after discount=2.4

Question B

the family would have to go at least 4 times before they start saving money.

Step-by-step explanation:

Help❤️
Thank you❤️❤️

Answers

Answer:

Step-by-step explanation:

B

Answer:

the answer is B

Step-by-step explanation:

If a rectangle is 4 inches wide and 7 inches long. When the length and width are increased by the same amount, the area is increased by 26 square inches. What are the new dimensions.

Answers

Answer:

New length = [tex]2+7=9[/tex] inches

New width = [tex]2+4=6[/tex] inches

Step-by-step explanation:

Given:

Length of rectangle is 7 inches

Width of a rectangle is 4 inches

The area is increased by 26 square inches when the length and width are increased by the same amount.

To find: new length and width

Solution:

With length of rectangle is 7 inches and width of a rectangle is 4 inches,

area = 7×4 = 28 inches

Let length and width be increased by x inches

New length = x + 7 inches

New Width = x + 4 inches

New area = [tex](x+7)(x+4)=x^2 +11x+28[/tex]

Also, new area = 28 + 26 = 54 square inches.

So,

[tex]28+11x+x^2 =54\\x^2+11x-26=0\\x^2 +13x-2x-26=0\\x(x+13)-2(x+13)=0\\(x-2)(x+13)=0\\x= 2, -13[/tex]

As dimension can not be negative, [tex]x=-13[/tex] is rejected.

So, [tex]x=2[/tex]

New length = [tex]2+7=9[/tex] inches

New width = [tex]2+4=6[/tex] inches

Final answer:

The new dimensions of the rectangle are 6 inches by 9 inches, after increasing both the original width and length by 2 inches to achieve the new area of 54 square inches.

Explanation:

Solution to the Rectangle Problem

The original rectangle is 4 inches wide and 7 inches long, with an area of 28 square inches (since area = width  imes length). When both the length and width are increased by the same amount, the area is 28 inches + 26 inches = 54 square inches. Let's denote the increase in dimension by 'x', thus the new dimensions are (4 + x) inches and (7 + x) inches. The new area is then (4 + x)(7 + x) = 54. Expanding this, we get 28 + 11x + x2 = 54. Simplifying, x2 + 11x - 26 = 0.

To find 'x', we can solve the quadratic equation. Factoring the quadratic, we get (x + 13)(x - 2) = 0, giving us two potential solutions for 'x': -13 and 2. However, since a negative increase in dimension is not possible, we only consider x = 2. Hence, the new dimensions of the rectangle are 6 inches by 9 inches.

Papa Fred's Pizza has found that the menu time to deliver a pizza is 21.2 minutes with a
standard deviation of 6.1 minutes. They want to have a guaranteed delivery time. In order to
deliver 99% within the guaranteed time you need to find the time represented by the 99
percentile. What is this value?

Answers

Answer:

That time is  35.4 minutes.

Step-by-step explanation:

The mean time of delivery follows a Normal Distribution pattern.

So we need to apply Z-scores to find out.

99% confidence  in delivery time means  P(z > value) = 0.01  = 1%

So    z > 2.325

so.      Pr [ (x - 21.2) /  6.1   >  2.325 ] = 1%

so  x  >  2.325*6.1 + 21.2

x  >  35.3825 minutes  would be out of the 99th percentile

Final answer:

To calculate the 99th percentile of pizza delivery times, use the z-score corresponding to a 0.99 probability and apply the formula X = μ + (z * σ), where X represents the delivery time, μ is the mean, and σ is the standard deviation.

Explanation:

The student is asking for the 99th percentile of the pizza delivery time, given that the times are normally distributed with a mean of 21.2 minutes and a standard deviation of 6.1 minutes. To find the 99th percentile, one would typically use a z-score table or a statistical software to find the z-value that corresponds to the 0.99 probability. Once the z-score is found, the formula X = μ + (z * σ) is used to calculate the specific time that corresponds to the 99th percentile, where X is the delivery time, μ is the mean delivery time, σ is the standard deviation, and z is the z-score. Since the student is asking for a guaranteed delivery time that covers 99% of the deliveries, this time will be longer than the average to account for the variability represented by the standard deviation.

Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) =1/2(x − 5)2 + 7?
A) stretched vertically, shifted left 5 units, and shifted down 7 units
B) stretched vertically, shifted right 5 units, and shifted up 7 units
C) compressed vertically, shifted left 5 units, and shifted down 7 units
D) compressed vertically, shifted right 5 units, and shifted up 7 units

Answers

The graph is stretched vertically, shifted left 5 units, shifted up 7 units.

We have to determine the effect of the transformations on the graph of ƒ(x) = x^2 when changed to ƒ(x) =1/2(x − 5)^2 + 7

What is the vertex form of the quadratic equation?

The vertex form of the quadratic equation is f(x) = a(x-h)^2 + k.

ƒ(x) =1/2(x − 5)^2 + 7 compare with vertex form therefore we have

a=1/2,h=5 k=7.

a=1/2 means the closer to zero the a value, the wider, so this will stretch vertically.

h=5 and this means that the graph is shifted left 5 units.

k=7 this means that the graph is shifted up 7 units.

The answer is stretched vertically, shifted left 5 units, shifted up 7 units.

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Final answer:

The graph of f(x) = x^2 undergoes a vertical compression, horizontal shift to the right by 5 units, and a vertical shift up by 7 units to become f(x) = 1/2(x - 5)^2 + 7, corresponding to option B.

Explanation:

When comparing the original function f(x) = x^2 with the transformed function f(x) = 1/2(x − 5)^2 + 7, we can analyze the effects of transformation as follows:

Vertical Compression: The coefficient 1/2 in front of (x − 5)^2 causes a vertical compression by a factor of 1/2 compared to the original function.

Horizontal Shift: The term (x − 5) inside the function indicates a horizontal shift to the right by 5 units.

Vertical Shift: The constant +7 added outside the square indicates the graph is shifted up by 7 units.

Therefore, the correct description of the transformations applied to f(x) = x^2 to obtain f(x) = 1/2(x − 5)^2 + 7 is option B: compressed vertically, shifted right 5 units, and shifted up 7 units.

Please solve this worksheet.Please

Answers

Know that quadrilaterals’ with 4 sides the degrees should all add up to 360

a. 110

(110+62+78= 250

360 - 250 = 110)

b. 66

(84+78+2b+b = 360

162+3b = 360

3b = 198

b = 66)

c. 83

For 5 sides the degrees should add up to 540)

(101+152+38+2c+c = 540

291+3c=540

3c = 249

c = 83)

d. 30

For 6 sides the degrees should add up to 720

(108+102+4d+4d+4d+5d = 720

210+17d= 720

17d = 510

d = 30)

As for the others I’ll label them 1, 2, and 3...

1. 60

(105+75+2b+b = 360

180+3b= 360

3b = 180

b = 60)

2. 78

(125+65+92+a = 360

282+a = 360

a = 78)

3. 80

(130+65+120+[2c-15]+c = 540

315+[2c-15]+c = 540

3c-15 = 225

3c = 240

c = 80

Write a single algebraic expression for the following sequence of operations. Begin with a number represented by n. Multiply by -2 add 5 to the previous expression divide the previous expression by 3 subtract 6 from the previous expression multiply the previous expression by 4 add 7 to the previous expression

Answers

Fbsthbcgvbnkihccddbnibcdxcv

Answer:

-2n-15 1/3

Step-by-step explanation:

-2n+5/3-6(4)+7

-2n+5/3-24+7

-2n+1 2/3-17

-2n-15 1/3

someone help me please

Answers

The answer is X = 16

There are 30 blue cubes in the box.
What is the total number of cubes in the box

Answers

Answer:

The answers is in the problem 30 cubes

The total number of cubes are there in the box will be 75. And the table is completed below.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Then the value of x is given as,

x + x + 0.4 = 1

2x = 0.6

x = 0.3

The table is given below.

Color                       Blue              Red            Yellow

Probability               0.4                0.3                0.3

If the number of blue cubes is 30. Then the total number of cubes is given as,

Total cubes = 30 / 0.4 = 75

The total number of cubes are there in the box will be 75.

More about the probability link is given below.

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The probability that a student takes a history class and a sociology class is 0.051. The probability that a student takes a history class is 0.32. What is the probability that a student takes a sociology class, given that the student is taking a history class?

0.051
0.159
0.269
0.32

Answers

Answer:   0.159

other answer is wrong i did the quiz

Andrew has a container with 80 game pieces that are different colors.He knows that the probability of choosing a green piece at random from the container is 0.2 and the probability of choosing a yellow piece at random from the container is 0.45. What is the total number of yellow game pieces in the container?

Answers

Answer:

36 Yellow pieces

Step-by-step explanation:

-Given the total number of pieces is 80 and the probability of choosing a yellow piece at random is 0.45.

-To find the number of yellows pieces in the container, we multiply its probability by the total number of pieces;

[tex]n_y=P(yellow)\times n\\\\=0.45\times 80\\\\=36[/tex]

Hence, the total number of yellow pieces is 36

Final answer:

To find the total number of yellow game pieces in the container, we can use the given probabilities to calculate the number of yellow pieces. By setting up equations based on the information provided, we determine that there are 8 yellow game pieces in the container.

Explanation:

Let's first calculate the total number of game pieces in the container.

Let x be the total number of yellow game pieces. The total number of game pieces is 80.

Given that the probability of choosing a green piece is 0.2 and the probability of choosing a yellow piece is 0.45:

Let the number of green pieces be (80 - x), so 0.2(80 - x) = 4 - 0.2x

Now, we know the number of yellow pieces is x, so 0.45x = 0.45x

Solving the equations, we get x = 8, thus there are 8 yellow game pieces in the container.

Of 58 ​cities, 3 have a lake and 23 have a river running through them. What fraction of these 58 cities have a lake or a river running through​ them?

Answers

Final answer:

Out of 58 cities, 26 have either a lake or a river, which simplifies to a fraction of 13/29 of the cities having one of these features.

Explanation:

To find the fraction of 58 cities that have either a lake or a river running through them, we need to determine how many cities have at least one of these features. It is important to check if any city has both a lake and a river, but since the question does not provide this information, we will assume that there are no cities that have both. The question tells us that 3 cities have a lake and 23 have a river. We simply add these counts together to find the total number of cities with at least one water feature.

The calculation would be:

3 (cities with a lake) + 23 (cities with a river) = 26 (cities with a lake or a river)

To find the fraction of the 58 cities that have a lake or a river, we divide the number of cities with a water feature by the total number of cities:

26 (cities with a lake or a river) / 58 (total cities) = 13/29 (simplified fraction).

Final answer:

Of the 58 cities, 26 have either a lake or a river, which means the fraction of cities with a lake or a river is 26/58.

Explanation:

To determine what fraction of the 58 cities have a lake or a river running through them, we must consider that the question does not specify whether some cities might have both a lake and a river. Assuming that the cities with lakes and the cities with rivers do not overlap, we simply add the number of cities with each feature.

There are 3 cities with a lake and 23 with a river. To find the total number of cities with either a lake or a river, we add these two numbers together:

3 (cities with a lake) + 23 (cities with a river) = 26 (cities with a lake or a river).

Now, to find the fraction of the 58 cities that have a lake or a river, we divide the number of cities with water features by the total number of cities:

26 / 58 = fraction of cities with a lake or a river running through them.

amanda enjoys cycling. The graph shows the relationship between the number of hours she rides her bike, x, and the number of miles she covers. The equation that represents the relationship between the number of hours she rides, x, and the distance she covers, y, is a 14y = x
b y=14x c y+14=x d y= 14+x. Using the equation, the distance she would cover if she rode for 1.5 hours would be a 12.5 b 15.5 c 21 d 28 miles.

Answers

Answer:

y is 14x

Step-by-step explanation:

every time she travels 14 miles, she is on her bike for one hour

Answer:

y=14x and 21 miles

least to greatest: 7.0 , 0.07 , and 0.7

Answers

Answer:

0.07,

0.7,

7.0

That is the answer

Answer:0.07,0.7,7.0

Step-by-step explanation:

A point $(x, y)$ with integer coordinates is randomly selected such that $0 \le x \le 8$ and $0 \le y \le 4$. what is the probability that $x + y \le 4$? express your answer as a common fraction.

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

A point (x, y) with integer coordinates is randomly selected such that [tex]0 \le x \le 8 \:and\: $0 \le y \le 4$.[/tex]

The possible pairs of (x,y) are:

(0,0),(0,1),(0,2),(0,3),(0,4)

(1,0),(1,1),(1,2),(1,3),(1,4)

(2,0),(2,1),(2,2),(2,3),(2,4)

(3,0),(3,1),(3,2),(3,3),(3,4)

(4,0),(4,1),(4,2),(4,3),(4,4)

(5,0),(5,1),(5,2),(5,3),(5,4)

(6,0),(6,1),(6,2),(6,3),(6,4)

(7,0),(7,1),(7,2),(7,3),(7,4)

(8,0),(8,1),(8,2),(8,3),(8,4)

The Total Possible Outcomes n(S)= 45

The pair (x, y) that satisfies the given condition (say event A: [tex]x + y \le 4[/tex]) are:

[tex](0,0),(0,1),(0,2),(0,3),(0,4)\\(1,0),(1,1),(1,2),(1,3)\\(2,0),(2,1),(2,2)\\(3,0),(3,1)\\(4,0)[/tex]

n(A)=15

Therefore:

[tex]P(A)=\frac{n(A)}{n(S)} =\frac{15}{45} =\frac{1}{3}[/tex]

Final answer:

To find the probability that a randomly selected point with integer coordinates satisfies "x + y ≤ 4", we counted the number of qualifying points and divided by the total number of possible points. With 15 points meeting the condition out of 45 possible points, the probability is 1/3.

Explanation:

The probability question asks for the likelihood that a point (x, y) with integer coordinates will satisfy the condition "x + y ≤ 4" when 0 ≤ x ≤ 8 and 0 ≤ y ≤ 4. To solve this, we first count the total number of possible points with integer coordinates within the given ranges for x and y. Since x can take 9 values (0 through 8) and y can take 5 values (0 through 4), there are 45 possible points (9 times 5).

Next, we identify the points that satisfy the condition "x + y ≤ 4". These points are (0,0), (0,1), (0,2), (0,3), (0,4), (1,0), (1,1), (1,2), (1,3), (2,0), (2,1), (2,2), (3,0), (3,1), and (4,0), which results in a total of 15 points satisfying the condition.

The probability is therefore the number of satisfying points divided by the total number of possible points, which is 15/45 or simplified to 1/3. Thus, the probability that a randomly selected point with integer coordinates will have "x + y ≤ 4" is 1/3.


What is the volume of the triangular prism?

A) 12 cm3
B) 18 cm3
C) 24 cm3
D) 48 cm3

Answers

Find the area of the triangle side, then multiply by the length of the prism.

Area of triangle = 1/2 x height x base

Area  = 1/2 x 2 x 3 = 3 square cm

Volume = 3 x 4 = 12 cubic cm.

Answer is A) 12 cm^3

How long does it take to double a $1,000 investment that pays 6.5% annual interest, compounded monthly?
Which equation can you use to solve this problem?
To the nearest year, it will take about ___
years to double the original investment.

Answers

Answer: edgen

B 2=(1+0.065/12)^12t

Step-by-step explanation:

To the nearest year, it will take about 10.7 years to double the original investment.

How to solbve for the period it would take

In this case, the principal P is $1,000, the interest rate r is 6.5% or 0.065 (in decimal form), the number of times compounded per year n is 12 (compounded monthly), and we want to find the time t when the investment doubles, so A is $2,000.

[tex]2000 = 1000(1 + 0.065/12)^{12t}[/tex]

[tex]2 = (1 + 0.065/12)^{12t}[/tex]

ln(2) = 12t * ln(1 + 0.065/12)

t = ln(2) / (12 * ln(1 + 0.065/12))

t ≈ 10.7

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The number of inches of rain,y,after x minutes of rainfall during a storm can be modeled by the equation y=0.003x How many inches of rain will have fallen after 2 minutes Fact or Opinion: The 4th of July is the most patriotic holiday of the year? Hoy comienzan mis vacaciones por el sur de Chile. Voy a ir a cinco ciudades diferentes: Temuco, Osorno, Villarrica,Pucn y Chilo. Hice reservaciones en el hotel de Pucn. Voy a estar all por 3 das, despues ir a Villarrica a visitar elParque Nacional Petrohu. Luego visitare Chilo y Temuco para sacar muchas fotos del impresionante paisaje alli. EnOsorno voy a comprar recuerdos para mi familia y terminar otra vez en Pucon donde me preparar para regresar.What is this visitor going to do in Osorno?OOtake picturesgo to a National Parkbuy souvenirsstay in the hotel pleasee explainnnn #23 Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute. The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately _________. If log2 5 = k, determine an expression for log32 5 in terms of k. What is the height of the cylinder in the diagram? Round your answer to the nearest whole number. A 2kg book is moved from a shelf that is 2m off the ground to a shelf that is 1.5m off the ground, what is its change in gravitational potential energy what sped up the harvest of wheat? the price of a guiter was decreased by 15% and sold for 275.99. what was the orignal price of the guiter in dollers? A school picnic your teacher asks you to Market food trip every 10 yards Sullivan students can play football with the teacher accidentally gave you a meter stick instead of yardstick how far apart a meter should you mark the line if you want the one that has to be in the right places Which factors describe a Mediterranean climate? Check all that apply.has very few treesis found in inland areashas cool and rainy wintershas little to no precipitationhas dense shrubs and grasses What is the value of d?Round your answer to the nearest tenth.9.1 mm11.9 mm26.3 mm34.1 mmThe figure shows acute triangle D E F. The measure of angle D is 25 degrees. The length of side D E is 21 millimeters. The length of side E F is d. The length of side F D is 27 millimeters. Which function represents exponential growth? what is the domain and range? fill in the missing justifications in the correct order A rectangle has a length of 11 meters less than 10 times its width. If the area of the rectangle is 9888 square meters, find the length of the rectangle. A jewelry box has a length of 3 1/2 units, a width of 1 1/2 units, and a height of 2 units. What is the volume of the box in cubic units? In mitosis how does a daughter cell compare with its parent cell ?A-a daughter cell has half as many chromosomes as its parent cellB- a daughter cell has no similarity to its parent cellC-a daughter cell has twice as many chromosomes as its parent cell D- a daughter cell and its parent cell are exact copies of each other Finish solving the system of equations, y = x 15 and y = 2x + 3, using the substitution method. 1. Use substitution to create a one-variable linear equation: x 15 = 2x + 3 2. Solve to determine the unknown variable in the equation: 3x = 18 x = 6 3. Substitute the value of the variable into either original equation to solve for the other variable. 4. Write the solution to the system of equations as an ordered pair. The solution to the system is .