Mathematics College

50 POINTS!!! Find the geometric probabilty of landing in the shaded area of the picture. The small circle has a diamter of 6 meters and the larger circle has a diameter of 54 meters. Show and explain all work.

Answers

Answer 1

Using the areas of the circles, the probability of landing in the shaded area of the picture is of 1/81.

What is the area of a circle?

The area of a circle of diameter d is given as follows:

[tex]A = 0.25\pi d^2[/tex].

For the smaller circle, the diameter is d = 6, hence the area is:

[tex]A_s = 0.25\pi \times 6^2 = 9\pi[/tex]

For the larger circle, the diameter is d = 54, hence the area is:

[tex]A_l = 0.25\pi \times 54^2 = 729\pi[/tex]

Hence the probability(desired area divided by total area) is:

[tex]p = \frac{9\pi}{729\pi} = \frac{1}{81}[/tex].

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Related Questions

Which of the following is equal to the rational expressions when x=2or1? (X-1)/(x+5)/(x-2)/(x-1)

Answers

Answer:

(x-2)/(x-1)

Step-by-step explanation:

(x-2)/(x-1)

The table below gives recommended weight ranges for the balls from five different sports. (Hint: Find the average of each weight.)

Answers

The average weights of each ball are 270 grams, 625 grams, 425 grams, 145.5 grams and 14.5 ounces

How to determine the average weights?

The range is given as:

Sport Weight range of ball used

Volleyball 260-280 grams

Basketball 600-650 grams

Water Polo 400-450 grams

Lacrosse 142-149 grams

Football 14-15 ounces

The average of each weight is calculated as:

Average = (Max + Min)/2

So, we have:

Volleyball = (260+280)/2 = 270 grams

Basketball = (600+ 650)/2 = 625 grams

Water Polo = (400+450)/2 = 425 grams

Lacrosse = (142+149)/2 = 145.5 grams

Football = (14+15)/2 = 14.5 ounces

Hence, the average weights of each ball are 270 grams, 625 grams, 425 grams, 145.5 grams and 14.5 ounces

Answers

The values of a and b are 1/4 and 1/5 respectively

How to determine the true statement?

The function is given as:

16x^2 - 25y^2 = 1

The above function is a horizontal hyperbola.

A horizontal hyperbola that passes through the origin is represented as:

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]

Rewrite 16x^2 - 25y^2 = 1 as

[tex]\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1[/tex]

By comparison, we have:

[tex]a^2 = \frac{1}{16}[/tex]

[tex]b^2 = \frac{1}{25}[/tex]

Solve for a and b

[tex]a = \frac{1}{4}[/tex]

[tex]b = \frac{1}{5}[/tex]

Hence, the values of a and b are 1/4 and 1/5 respectively

Answers

Answer: B. x^2 + 3

Step-by-step explanation:

2x^2 + 2 -(x^2 - 1)

2x^2 + 2 - x^2 + 1

x^2 + 3

If f (x) = 2x ^ 2 + 2
Answer is B
x2 + 3

Geometry
Help pls list steps so I can learn :)

Answers

Answer: [tex]\frac{25\pi}{4}[/tex]

Step-by-step explanation:

The area of the entire circle is [tex]\pi(5^2)=25\pi[/tex].

The area of a quarter of the circle is thus [tex]\frac{25\pi}{4}[/tex]

And a certain watery an urn contains balls number 1 to 34 from this are in five balls are chosen randomly without replacement for a one dollar bed a player chooses one set of phone numbers to Wayne all five numbers match match those shows it from the urn the order in which the balls or select it doesn’t matter what is the probability of winning the lottery with one ticket

Answers

The probability of winning the lottery with one ticket is mathematically given as

P(W)=2.99484408*10^{−8}

What is the probability of winning the lottery with one ticket?

Generally, the equation for the probability is mathematically given as

P(1st ball)=1/34

one ball drawn remain

34-1=33

P(2nd ball)=1/33

In conclusion, the probability of winning the lottery with one ticket is

P(W)=1/34*1/33*1/32*1/31*1/30

P(W)=2.99484408*10^{−8}

Answers

The solution to the given linear equation are -4 and 2

Solving quadratic equation

Quadratic equations are equations that has a leading degree of 2. Given the expression below

(x-3)(x+1)=5

Expand

x^2+x - 3x - 3 = 5

x^2 - 2x - 8 =0

Factorize

x^2 + 4x - 2x - 8= 0

x(x+4)-2(x+4) = 0

x = -4 and 2

Hence the solution to the given linear equation are -4 and 2

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2.3. Use the following subtraction strategies to calculate 884-597: 2.3.1. breaking up the second number 2.3.2. adding on to the smaller number until you reach the bigger number 2.4. Design a real life activity for the Intermediate Phase in which learners will be required to apply the associative property of multiplication over addition. (4) (3) (3) 2.5. Suppose you want to have the activity in 2.4 marked by peers. Give a marking guideline according to which learners can score each other's work. (2) 2.6. Draw a diagram by which you can visually explain to learners in the Intermediate Phase why the sum of five consecutive numbers is equal to the fifth multiple of the middle number. Choose any set of five consecutive numbers to illustrate your statement. Write down your explanation in four powerful sentences. (5) OW a 2.3 . Use the following subtraction strategies to calculate 884-597 : 2.3.1 . breaking up the second number 2.3.2 . adding on to the smaller number until you reach the bigger number 2.4 . Design a real life activity for the Intermediate Phase in which learners will be required to apply the associative property of multiplication over addition . ( 4 ) ( 3 ) ( 3 ) 2.5 . Suppose you want to have the activity in 2.4 marked by peers . Give a marking guideline according to which learners can score each other's work . ( 2 ) 2.6 . Draw a diagram by which you can visually explain to learners in the Intermediate Phase why the sum of five consecutive numbers is equal to the fifth multiple of the middle number . Choose any set of five consecutive numbers to illustrate your statement . Write down your explanation in four powerful sentences . ( 5 ) OW a

Answers

It should be noted that the value of 597 subtracted from 884 is 287.

How to illustrate the subtraction?

The information is simply that we should subtract 884 and 597 and also illustrate it.

This will be:

884 - 597 = 287.

A word problem illustrating this is that a man had 884 pens and gave 597 pens to his friends. How many pens does he have left?

This will be:

= 884 - 597 = 287

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A correlation coefficient between number of miles driven and number of gallons of gas remaining is most likely to be __________.

Answers

A correlation coefficient between number of miles driven and number of gallons of gas remaining is most likely to be 0 to -1. Then the correct option is A.

What is a correlation coefficient?

A mathematical indicator of the degree of the association seen between fluctuation of 2 factors is the correlation coefficient.

A correlation coefficient between number of miles driven and number of gallons of gas remaining is most likely to be 0 to -1.

Then the correct option is A.

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On a number line 1.77 would be located.

Answers

On a number line 1.77 would be located between 1 and 2 but it would be closer to 2 than 1.

Where would 1.77 be located?

A number line is used to show the positioning of numbers. 1.77 is between 1 and 2. So, it would be located between 1 and 2 on the number line. Because 1.77 can be rounded off to 2, it would be closer to 2.

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In a relatively pointless survey, the following data was collected on cars in a Costco parking lot: there were 94 white cars; 44 purple cars; 41 dark gray cars; 27 light blue cars; 46 green cars; 19 cars of some other color.

If you were to construct a Pareto chart (using the rule suggested in the book), how would the second bar in the graph be labeled?

color =

Answers

If I am to to construct a Pareto chart based on the rule of the chart, the second bar color in the graph be labeled light blue.

What is a Pareto chart?

A Pareto chart is known to be a form of a bar graph.

It is made up of different lengths of bars that stands for frequency or cost ( e.g. time or money, and are said to be placed with longest bars on the left and then the shortest are placed to the right.

Since there are 27 light blue cars and this is the first one among the shortest, one can make it to be in the second bar and as such, If I am to to construct a Pareto chart based on the rule of the chart, the second bar color in the graph be labeled light blue.

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In a random sample of 1214 eligible voters younger than 40 years old, 461 reported that they planned to vote in the upcoming election. In a random sample of 1098 voters 40 and older,560 reported that they planned to vote in the election. Construct a 90% confidence interval for the difference between the percent of all voters younger than 40 and 40 and older who plan to vote in the upcoming election. What critical z-score will be used

Answers

Using the z-distribution, with a critical z-score of z = 1.645, the 90% confidence interval is (-16.4%, -9.66%).

What are the mean and the standard error for the distribution of the difference of proportions?

For each sample, the mean and the standard error are given as follows:

[tex]p_y = \frac{461}{1214} = 0.3797, s_y = \sqrt{\frac{0.3797(0.6203)}{1214}} = 0.0139[/tex].[tex]p_o = \frac{560}{1098} = 0.51, s_o = \sqrt{\frac{0.51(0.49)}{1098}} = 0.0151[/tex].

Hence, for the distribution of differences, they are given as follows:

[tex]p = p_y - p_0 = 0.3797 - 0.51 = -0.1303[/tex].[tex]s = \sqrt{s_y^2 + s_o^2} = \sqrt{0.0139^2 + 0.0151^2} = 0.0205[/tex]

What is the confidence interval?

The interval is:

[tex]p \pm zs[/tex]

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Then the bounds of the interval are:

p - zs = -0.1303 - 1.645(0.0205) = -0.164.p + zs = -0.1303 + 1.645(0.0205) = -0.0966.

As a percentage, the 90% confidence interval is (-16.4%, -9.66%).

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Please help!!!! For the exponential function...

Answers

Answer: b.) 40

Given that:

f(x) = 5 × 2ˣ

To find f(3), simplify insert [x = 3] in the given equation:

f(3) = 5 × 2³

f(3) = 5 × 2 × 2 × 2

f(3) = 40

Question
Determine an angle between 0° and 360° that is coterminal to an angle with measure of 1524°.
Enter your answer below without a degrees symbol - just enter the numeric answer.

Answers

Answer: 84°

Step-by-step explanation:

On a unit circle, coterminal angles are angles that are in the opposite position of the asked angle. 1524° revolves around 127/15π times across the entire unit circle.

84° is the only positive coterminal angle between 0 and 360 that is in the opposite position of 1524°.

Keep in mind, that there are more coterminal angles, namely 444°, 804°, 1164°, and 1524° itself, but they are outside of the range of 0 and 360 degrees.

You are volunteering to help with the soccer team fundraiser for Valentine's Day. Your team promised to deliver one 16 ounce bag of nuts to students with at least 60% chocolate-covered nuts inside.

When you arrive, instead of a bag of plain nuts and chocolate nuts, you find there are two bags of mixed nuts. The first says it is 50/50 plain and chocolate covered. The second bag contains 80% chocolate covered nuts.

The team is dismayed, but you come up with a solution. You suggest combining

ounces* of the 50/50 bag of nuts with

ounces* of the 80% bag of nuts, to make it an approximately 60% mixture.

*estimate

Then another student on the team says, "Wait, we promised at least 60%. So if we just do half and half won't we be giving them at least 60%?" This student

correct.

Answers

The student, who suggests that if we do half and half of each bag, we will be giving them at least 60%, is correct.

What is the implication of the phrase "at least"?

The phrase "at least" means the minimum that is true or possible.

Mathematically, by "at least," we mean 'equal to or greater than.'

Data and Calculations:

Since each bag of nuts contain 16 ounces,

The 1st bag contains x/2 ounces (50%) of plain nuts and x/2 ounces (50%) of chocolate-covered nuts.

The 2nd bag contains x/5 ounces (20%)of plain nuts and 4x/5 ounces (80%) of chocolate-covered nuts.

If half of the 1st bag is mixed with half of the 2nd bag, each bag will contain only 65% (that is, 25% (50%/2) from the 1st bag and 40% (80%/2) from the 2nd bag).

Thus, the student, who suggests that if we do half and half of each bag, we will be giving them at least 60%, is correct since they will not be given less than 60% of chocolate-covered nuts inside.

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Solve the logarithmic equation...

Answers

Answer:

x = 3

Explanation:

[tex]\sf Given \ equation: \ log_{10} (1000) = x[/tex]

Solving steps:

[tex]\rightarrow \sf log_{10} (1000) = x[/tex]

apply rule: logₐ(b) = c then b = aᶜ

[tex]\rightarrow \sf 1000 = 10^x[/tex]

rewrite following

[tex]\rightarrow \sf 10^3= 10^x[/tex]

cancel out bases

[tex]\rightarrow \sf x = 3[/tex]

Answer:

d.) x = 3

Step-by-step explanation:

you simply need to know 10 to power of how many makes 1000 , In case didn't know you can replace the value of x with the given options and see if it can be solved or not .

QUESTION IS DOWN BELOW 30 points for answer

Answers

Answer: a) 25:16 and b) 125:64

Step-by-step explanation:

For simplicity, assume that two spheres have diameters of 5 and 4.

a) 4pi(5^2) and 4pi(4^2)

= 100pi:64pi

= 100:64

= 25:16

b. 4/3 pi(5^3) and 4/3 pi(4^3)

= 166.67pi and 85.33pi

= 500:256

= 125:64

Which expression is equivalent to the following complex fraction?
-2/x + 5/y / 3/y - 2/x

Answers

Answer: [tex]\frac{5x-2y}{3x-2y}[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}[/tex]
Multiplying the numerator and denominator by xy,

[tex]=\frac{-2y+5x}{3x-2y}\\\\=\frac{5x-2y}{3x-2y}[/tex]

find x and y.

someone pls help !

Answers

Hello !

3y + 12 =2(y + 30)

⇔ 3y + 12 = 2y + 60

⇔ y + 12 = 60

⇔ y = 60 - 12

⇔ y = 48

Answer:

y = 48

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

3y + 12 is an exterior angle of the triangle , so

3y + 12 = y + 30 + y + 30 ( base angles of an isosceles Δ are congruent )

3y + 12 = 2y + 60 ( subtract 2y from both sides )

y + 12 = 60 ( subtract 12 from both sides )

y = 48

Compare A and B in three ways, where A = 1.8 million is the 2012 population of city X and B = 2.6 million is the 2012 population of city Y.

a. Find the ratio of A to B.
b. Find the ratio of B to A.
c. Complete the sentence: A is ____ percent of B.

Answers

Which amount of time is greater for the average person? The total time spent on his/her cell phone in a year’s time, or the total time spent waiting in line when shopping in a lifetime?

Consider it to be 2 separate problems and arrive at your conclusion.

You need to make assumptions, conversions, and math calculations to arrive at your answer. If you choose to research data for this project, that is fine but there is no need to site your references.

Answers

The total time spent on his/her cell phone in a year’s time is less than the total time spent waiting in line when shopping in a lifetime.

x= 1825 hrs

z=4929.4 hrs.

This is further explained below.

Which amount of time is greater for the average person?

let's say on average a person spends 5 hours on a mobile phone.

Individual annual mobile phone use time.

x= 5x365

x= 1825 hrs

let's consider an average every day a person, spent 5 minutes in the queue when shopping.

Take the average person. 70-year life for a person.

Hence in a year, he spent

y=365x5 mints

y=1825 min

y=30.42 hrs

Hence lifetime time spent on line

z = 70 x 30.42

z=4929.4 hrs.

In conclusion, we estimate that the typical individual will spend z=4929.4 hours waiting in line for merchandise throughout the course of their lifetime.

z=4929.4 hrs.

Answers

Answer: 43

Explanation:

Add up the heights of each bar to get the sample size.

4+4+7+12+11+4+1 = 43

what’s the answer to 3\4(8x + 12) = 3

Answers

Answer:

x = - 1

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] (8x + 12) = 3 ( multiply both sides by 4 to clear the fraction )

3(8x + 12) = 12 ( divide both sides by 3 )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

x = - 1

if you are looking for the x value this is the answerx = -1

A shape is picked at random from this group. Which theoretical probabilities are exactly 3/4?

Check all that apply.

not picking a triangle

picking a square

picking a shape with only straight edges

not picking a circle

not picking a square

Answers

Probability helps us to know the chances of an event occurring. The correct option is D, not picking a circle.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

For the theoretical probability to be 3/4, the number of desired outcomes must be 6. Therefore, let's check the number of desired outcomes,

Not picking a triangle = 4

Picking a square = 3

Picking a shape with only straight edges = 0

Not picking a circle = 6

Not picking a square = 5

Hence, the correct option is D, not picking a circle.

The group of the shape is given in the below image.

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In the coin flipping lab, suppose that you simulated the flipping of a weighted coin 30 times and got 5 heads and 25 tails. What is your estimated probability for P(H)?

Answers

Answer:

1/6

Step-by-step explanation:

Out of 30 tosses, 5 come up heads. So the estimated probability of heads is 5/30, or 1/6.

Answer: 0.17

Step-by-step explanation:

just got it right on quiz

These 3 points are on a parabola defining the edge of a ski:

(-4,1)
(-2,0.94)
(0,1)
The general form for the equation of a parabola is .

1.
Use the x- and y-values of 1 to build a linear equation with 3 variables: A, B, and C.
Repeat this process with the other 2 points to build a 2nd linear equation.
Record all three equations in the box below.

2.
Build a matrix equation that represents this system of equations. Record your matrix equation here.

3.
Use a graphing calculator or other graphing utility to find the inverse of the coefficient matrix. Record your result here.

4.
Use the inverse matrix to solve the system of equations. Record the equation of the parabola here.

Answers

The equation of the parabola is y = 0.015x^2 + 0.06x + 1

The linear equations

A parabola is represented as:

y = ax^2 + bx + c

The points are given as:

(-4,1), (-2,0.94) and (0,1)

When these points are substituted in y = ax^2 + bx + c, we have the following linear equations

16a - 4b + c = 1

4a - 2b + c = 0.94

c = 1

The matrix that represent the system of equations

In (a), we have:

16a - 4b + c = 1

4a - 2b + c = 0.94

c = 1

Remove the variables (leaving the coefficients)

a b c

16 -4 1 1

4 -2 1 0.94

0 0 1 1

So, the matrix representation of the system of equations is:

[tex]\left[\begin{array}{ccc}16&-4&1\\4&-2&1\\0&0&1\end{array}\right] \left[\begin{array}{c}1&0.94&1\end{array}\right][/tex]

The inverse of the coefficient matrix

Using a graphing calculator, we have the inverse of the coefficient matrix to be

[tex]\left[\begin{array}{ccc}0.125&-0.25&0.125\\0.25&-1&0.75\\0&0&1\end{array}\right][/tex]

The solution to the system of equations

Using a graphing calculator, we have the solution to the system of equations to be

a = 0.015

b = 0.06

c = 1

Recall that:

y = ax^2 + bx + c

So, we have:

y = 0.015x^2 + 0.06x + 1

Hence, the equation of the parabola is y = 0.015x^2 + 0.06x + 1

Answers

Answer: [tex]p=7, q=3[/tex]

Step-by-step explanation:

The midline of the function is

[tex]\frac{10-4}{2}=3 \implies q=3[/tex]

This means that to obtain a maximum of 10, when [tex]\sin x[/tex] reaches it's maximum, 1, [tex]g(x)=p+q=10 \implies p=7[/tex]

The following present value factors are provided for use in this problem.

Periods Present Value
of $1 at 8% Present Value of an
Annuity of $1 at 8%
1 0.9259 0.9259
2 0.8573 1.7833
3 0.7938 2.5771
4 0.7350 3.3121
Xavier Co. wants to purchase a machine for $37,500 with a four year life and a $1200 salvage value. Xavier requires an 8% return on investment. The expected year-end net cash flows are $12,500 in each of the four years. What is the machine's net present value?
$(3901).
$3901.
$4783.
$(4783).
$42,283.

Answers

The net present value of machine is $5982

What is investment?

An investment is an asset or item acquired with the goal of generating income or appreciation.

As, 4th Year Cash Flow

= Salvage Value + Expected End Year Net Cash Flow

= $1,200 + $12,500

= $13,700

Year Cash flow ($) PVF at 8% Present value ($)

0 37,500 1.000 -36,300

1 12,500 0.9259 11573.75

2 12,500 0.8573 10716.25

3 12,500 0.7938 9922.5

4 13,700 0.7350 10069.5

Net value 5982

Hence, net present value of machine is $5982

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Given: Triangle ABC, mmBC=24 cm, line segment AL- < bisector
Find: AL

AL= __cm
Please answer in detail ASAP thank you so much it would help a lot <3

Answers

The value of line AL is 21. 51cm

How to determine the length

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

Sin 90 = x/ 24

1 = x/24

Cross multiply

x = 24cm

Now, let's find line AC

Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

But angle B = 2 Angle A

x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

0. 8660 = x/24

Cross multiply

x = 24 × 0. 8660

x = 20. 78cm

We have the angle of A in the given triangle to be divide into two by the bisector, angle A = 15°

To find line AL, we use

Cos = adjacent/ line AL

Cos 15 = 20. 78/ line AL

Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

Line AL = 21. 51 cm

Thus, the value of line AL is 21. 51cm

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PLEASE HELP ME! I WILL AWARD BRAINLIEST TO WHOEVER ANSWERS THE QUESTION BEST!

Which of the following could be solution to the equation below?
[tex]cos(3x+4)=sin(2x+6)[/tex]

A. x = 2, sin 10° = cos 10°
B. x = 16, sin 52° = cos 38°
C. x = 34, sin 74° = cos 106°
D. x = 16, sin 38° = cos 52°

Answers

Using complementary angles, it is found that a solution to the given equation is:

D. x = 16, sin 38° = cos 52°.

What are complementary angles?

Two angles are called complementary if the sum of their measures is of 90º. If two angles A and B are complementary, we have that:

cos(A) = sin(B) and sin(A) = cos(B).

In this problem, the expression is:

cos(3x + 4) = sin(2x + 6).

Hence:

3x + 4 + 2x + 6 = 90

5x = 80

x = 16.

Then:

cos(3x + 4) = cos(52).sin(2x + 6) = sin(38).

Which means that option D is correct.

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Other Questions

Find the zeros of the function f(x)=x^2+9.9x+18. Round values to the nearest hundredth (if necessary). Imagine an ecosystem with the following populations:Level of Food Chain Types of OrganismsProducers berry bushesfruit treesoak treesmaple treesPrimary consumers rabbitsmicesquirrelscricketsantsgrasshoppersSecondary consumers foxesowlsspidershawksTertiary consumers wolvesbearsDraw a food web representing the flow of energy in the ecosystem. Be sure to include all of the populations. If necessary, research each animal's diet to determine its place in the food web.After completing your food web, answer the questions below.If the ecosystem is balanced, which populations should be the largest? Which should be the smallest? A group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the survey are shown below:60 students like building snowmen10 students like building snowmen but do not like skiing80 students like skiing50 students do not like building snowmenMake a two-way table to represent the data and use the table to answer the following questions.Part A: What percentage of the total students surveyed like both building snowmen and skiing? Show your work. (5 points)Part B: What is the probability that a student who does not like building snowmen also does not like skiing? Explain your answer. What is solve [c-5]=7 write an emotional turmoil when you came to know that you were not going to have the promised vacations . validate your emotions and register them in most accurately appropriate words . Find four mistakes and rewrite the sentences correctly.1 Rocio said us to meet her outside the cinema.2 Juan asked I'd like to go to the concert with him.3 Pablo asked me which was the best band I'd ever seen.4 Fernando told me not to borrow his i-pod without asking first.5 Silvia asked that I can lend her the DVD.6 Zara ordered them leave the party. A key falls from a bridge that is 43 m above the water. It falls directly into a model boat, moving with constant velocity, that is 17 m from the point of impact when the key is released. What is the speed of the boat What is the end result of cytokinesis from a cell undergoing mitosis? The diameter of a proton is about 1.9 cross times 10 to the power of short dash 15 end exponent meters. A hydrogen atom has an overall length of 100,000 times (or 1 cross times 10 to the power of 5 times) the diameter of a proton.What is the length of the hydrogen atom, in meters, if it were written in scientific notation?A. 1.9 x 10 (15 exponent)B. 1.9 x 10 (-15 exponent)C. 1.9 x 10 (-8 exponent)D. 1.9 x 10 (-12 exponent) How many different tripeptides can be formed from three different amino acids, methionine, histidine, and arginine which statement is true? 12/13 < 36/3013/17>24/28 Determine the units digit (ones digit) of the counting number represented by the exponential expression.4^800 f(x)=5x/x-25 asymptotes and state the end behavior of the function Assertion (A): Mutations can be passed on to the offspring.Reason (R): Mutation is capable of affecting large sections of DNA or certain points along the DNA strand.Which of the following is true for the above statements?A. Both (A ) and (R) are true, but (R) is not the correct explanation of A.B. Both (A ) and (R) are true, and (R) is the correct explanation of A.C. A is false, but (R) is true.D. A is true, but (R) is false. Marina paid $16.95 for a sweater on sale which is 65% of the original cost. How much did the sweater cost originally Read the excerpt from Outcasts United.A moment later, Fornatee made his way toward Luma. She was standing in a huddle of Under Fifteen players, assigning them their positions. Fornatee tried to blend into the group as if he expected to get a position."Fornatee," Luma said when she saw him, "go away."Fornatee was startled. He froze as the other players turned to look at him."Coach, can I talk to you after?" he asked."Yesgo away," Luma said before continuing with her position assignments. Fornatee walked back to the jungle gym, where Prince and some of his other friends had gathered to watch the scrimmage. He would watch and wait, and try to persuade Coach to take him back.Keeping chronological order in mind, what question would a reader most likely ask after reading this excerpt?Who will win the game between the Fifteens and the Seventeens?Will Luma speak to Fornatee and allow him back onto the team?Will Fornatee watch the scrimmage from the sidelines of the field?Have Fornatee and Prince been friends for a very long time? what do customers want from organizations when meeting their needs or finding a satisfactory solution Why or why not should American citizens be allowed to vote by mail? Include supporting sentences that explain and prove your topic. In the center of your paragraph, have a direct quote from the reading as one piece of evidence to help your topic with an in-text citation that looks like this(Karter, 2021, p.#). Comment on and explain the quotation and summarize my paragraph with concluding sentences. Include a title page, a proper font case per APA standards(Time New Roman 12 font is suggested), and a references page. The document should have 1-inch margins and should be double spaced. The integer having absolute value 10 are_________? What happened to the money in the Second National Bank after the bank was dissolved by President Jackson?