Where r is the radius of the cone's base and h is the height of the cone. Find the approximate volume of a cone when r is 8 cm and h is 8 cm.
Volume of a Cone = pir2h/3

Answers

Answer 1

Step-by-step explanation:

Given,

the radius(r)of the cone's base = 8 cm

the height(h)of the cone = 8 cm

then the volume of cone

= 1/3 πr²h

= (1/3×22/7×8²×8 (substituting the value of r and h )

=(1/3×22/7×64×8)cm³

=(12544/21)cm³

=597.333cm³(ans)

If you face any doubt related to the solution please ask me

Answer 2

The volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.

What is the volume of a cone?

The volume of a cone is the amount of space possessed by a cone in a three-dimensional plane. A cone contains a circular base, which suggests the base is made of a radius and diameter.

The volume can be defined as a three-dimensional space enclosed by an object or thing.

The formula for the volume of the cone,

\(\rm V=\dfrac{1}{3} \pi r^2h\)

r = radius of the circular base

h= perpendicular height of the cone

Here, r = 8 cm

h = 8 cm

So the volume of the given cone will be,

\(\rm V=\dfrac{1}{3} \pi r^2h\\\\\\=\dfrac{1}{3}\times\dfrac{22}{7}\times8^2\times8\\\\\\\)

V  = 536.38 cubic m

Volume =536.38 cubic cm

Thus, the volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.

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Related Questions

A bus took a 12-hour trip and traveled 700 miles. The speed was 75 mph for the first part of the trip, and then decreased to 50 mph for the second part of the trip. How many hours were traveled at each speed?

_____ hours at 75 mph
_____ hours at 50 mph

Answers

4 2/3 hours for first part and 7 hours for second part

which of the following beverages contains the most alcohol? 12-ounce can of beer 1.5 ounces of 80-proof liquor 5-ounce glass of wine all of these contain the same amount of alcohol

Answers

A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.

In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.

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What is the area of a circle with the radius of 11.5 meters? ill give brainliest

Answers

Answer:

415.265 m²

Step-by-step explanation:

A=π r²

π*132.25

Answer:

415.48 m²

The area would be 415.48 square meters

Write the word sentence as an inequality.

A number b
multiplied by −5
is at most −34
.

Answers

Answer:

-5b <= -34

Step-by-step explanation:

The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.

The height of a triangle is 4 in. Greater than twice the base. The area of the triangle is no more than 168in^2. Which inequality can be used to find the possible lengths, x, of the base of the triangle

Answers

Answer:

b^2 + 2b <= 168

Step-by-step explanation:

The base is b.

The height, h, is 4 in. greater than twice the base, so the height is 2b + 4.

The area of a triangle is bh/2. We replace h with the expression for height.

A = bh/2 = b(2b + 4)/2 = (2b^2 + 4b)/2 = b^2 + 2b

The area is b^2 + 2b.

The area is no more than 168 in.^2, so it is less than equal to 168 in.^2.

b^2 + 2b <= 168

("<=" means "less than or equal to")

Since you don't show the choices, choose an inequality that is equivalent to the one just above.

Can anyone solve for y? (Ignore extra work on the side and above the equations)

Answers

Considering the vertical angles in this problem, the value of y is given as follows:

y = 5.

What are vertical angles?

Vertical angles are angles that are opposite by the same vertex on crossing segments, hence they share a common vertex, thus being congruent, meaning that they end up having the same angle measure.

The vertical angles for this problem are given as follows:

(4y - 6)º.14º.

Hence the value of y for this problem is obtained as follows:

4y - 6 = 14

4y = 20

y = 5.

Missing Information

The graph is given by the image presented at the end of the answer.

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Can anyone solve for y? (Ignore extra work on the side and above the equations)

NEED HELP ASAP! (50 POINTS)

Areas of Similar Figures

NEED HELP ASAP! (50 POINTS)Areas of Similar Figures

Answers

Answer:

1:3

2:2

Step-by-step explanation:

Veronica went to the local convenience store to buy bread, milk, dishwashing liquid, and paper towels. The table below shows the cost for each item, including tax. Veronica gave the cashier a $10.00 bill. The cashier handed her 3 quarters and 4 pennies in change. Veronica thought she should have received more change.

Which mathematical explanation best supports Veronica's claim?
The cashier scanned the milk twice.
The cashier scanned the bread twice.
The cashier handed out 4 pennies instead of 4 dimes.
The cashier did not scan the dishwashing liquid.

Veronica went to the local convenience store to buy bread, milk, dishwashing liquid, and paper towels.

Answers

Answer:

Cashier scanned the bread twice.

Step-by-step explanation:

= 2.49 + 2.19 + 1.47 + 0.87 = 7.02

= 7.02 + 0.75 = 7.77

= 7.77 + 0.04 = 7.81

With 2 dollars and 19 cents leftover, even if the pennies were changed to dimes, youd still have only get up to 8.17 which still leaves 1 dollar and 83 cents leftover.

With that eliminated what could have the cashier miss-scanned? The paper towels are incorrect because 1.47 + 7.81 doesnt make 10 dollars

The dishwashing liquid isn't right either, because 0.87 + 7.81 doesn't make 10 dollars aswell.

The milk is also incorrect because 2.49 + 7.81 doesnt make EXACTLY 10 dollars. The bread is to correct answer bevause 2.19 + 7.81 equals exactly 10 dollars.

Hope this helps :)

what is the midpoint of (a+2b,b-a) and (a-2b,3a+b)

Answers

Answer:

(a, a+b).

Step-by-step explanation:

Midpoint =  [(a+2b + a-2b)/2 ], [b-a + 3a+b]/2

= (2a/2, (2a+2b)/2

= (a, a+b).

help asap, ill give

help asap, ill give

Answers

The greatest number of bags Caesar can make is 16 bags. Each of these bags will have 5 boxes of pasta and 8 jars of sauce.

If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.

He could use 8 bags but this is not the greatest number he could use.

What is the number of pasta and sauce in each bag?

Boxes of pasta = 32Jars of sauce = 48

Find the greatest common factor of 32 and 48

32 = 1, 2, 4, 8, 16, 3248 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

The greatest common factor of 32 and 48 is 16

So, the greatest number of bags Caesar can make is 16 bags

Number of pasta in each bag = 32/16

= 5 boxes of pasta per bag

Number of sauce in each bag = 48/16

= 8 jars of sauce per bag

If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.

He could use 8 bags but this is not the greatest number he could use.

Therefore, Caesar can use the greatest common factor to determine the highest number of bags he could use.

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find the cost of 24 opera tickets at 112 each​

Answers

Answer:

2688

Step-by-step explanation:

Answer:

The answer is - 2688

Step-by-step explanation:

24×112=2688

Which polynomial would be classified as a cubic trinomial?
a) -5x^2-4x
b) -3x^4+2x^3-8
c) 5x^3-4x+2
d) 7x^4-3x^^3

Answers

Answer: C

Step-by-step explanation: What is an example of cubic trinomial?

Cubic Trinomials of the Form Ax^3 + Bx+^2 + Cx

For example, the greatest common factor of the trinomial 3x^3 - 6x^2 - 9x is 3x, so the polynomial is equal to 3x times the trinomial x^2 - 2x -3, or 3x*(x^2 - 2x - 3).

The difference between two integers is 6. The sum of their sqaures is a minimum. Find the 2 integers.
Answer with explanation gets brainliest.​

Answers

Answer:

3 and - 3

Step-by-step explanation:

Let the numbers are x and y.

Their difference is:

x - y = 6

Sum of their squares:

S = x² + y²

Substitute y = x - 6 into sum equation:

S = x² + (x - 6)² =      x² + x² - 12x + 36 =      2x² - 12x + 36

We observe this is a quadratic expression. It has minimum value at vertex, which is when x = -b/2a or:

x = - (-12/2*2) = 3

Then the value of y is:

y = x - 6 = 3 - 6 = - 3

use the classical definition to find the probability of the following event: rolling a fair die once and getting a number greater than 2. express your answer as a decimal rounded to one decimal place

Answers

The probability of  rolling a fair die once and getting a number greater than 2 is 0.7.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Let  a fair dice is roll once.

The total numbers on dice are 6

The total numbers greater than 2 on dice are  4 which are 3, 4, 5, and 6.

So,

P(getting number greater than 2) = 4/6 = 0.7

Hence, the probability of  rolling a fair die once and getting a number greater than 2 is 0.7.

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Which type of data would be best displayed in a dot plot?

Answers

Answer:

it is used for univariate data

Step-by-step explanation:

Answer:

univariate data

Step-by-step explanation:

data that is not the average, but something like the height, or age of the people in your class.

You are standing on a ledge and throw a ball from 10 feet above the ground. The speed the ball leaves your hand is 16 feet per second and the acceleration of gravity is -16 feet per second squared.

1. How many seconds does it take to reach the highest point (vertex)?

Answers

The ball reached its maximum height at a time of 1 second.

How many time is needed for the ball to reach its maximum height?

In this problem we have the case of a ball that experiments a free fall, that is, a case of an uniform accelerated motion due to gravity. The position of the ball as a function of time is represented by a quadratic equation:

y' = y + v · t + 0.5 · g · t²

Where:

y - Initial position, in feet.v - Initial velocity, in feet per second.t - Time, in seconds.g - Gravitational acceleration, in feet per square second.

And to determine the time related to the highest point, we need to rearrange the expression into its standard form:

y' - k = C · (t - h)²

Where:

(h, k) - Coordinates of the vertex.C - Vertex constant

First, write the quadratic equation:

y' = y + v · t + 0.5 · g · t²

y' = 10 + 16 · t - 8 · t²

Second, complete the square until the standard form is found:

y' - 10 = 16 · t - 8 · t²

y' - 10 = - 8 · (t² - 2 · t)

y' - 18 = - 8 · (t² - 2 · t + 1)

y' - 18 = - 8 · (t - 1)²

The ball takes a time of 1 second to reach its maximum height.

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Please help it’s graded and I just don’t want to fail

Please help its graded and I just dont want to fail

Answers

Answer:

630/49

Step-by-step explanation:

Please help with number 2!​

Please help with number 2!

Answers

Answers:

D'' = (1, -3)

E'' = (1, -1)

F'' = (3, -1)

G'' = (3, -4)

A diagram is shown below.

========================================================

Explanation:

The center of dilation is point E, which means this point does not move when the dilation is applied. Every other point will move.

As your diagram indicates, segment DE is 4 units long. If we apply the scale factor 1/2, then D'E' will be half as long meaning D'E' = 2. So point D' is 2 units above point E at (1,3)

Point F is 4 units away from point E. The scale factor 1/2 will bring F closer to E leading to segment F'E' = 2. So we'll start at E and move 2 units to the right to land on F ' (3, 1)

From F to G is 6 units, which cuts in half to 3. So from F' to G' is 3 units telling us we start at F ' (3, 1) and go up three units to get go G ' (3, 4)

So far we have

D ' = (1, 3)

E ' = (1, 1) ... fixed point doesn't move

F ' = (3, 1)

G ' = (3, 4)

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

From here we'll apply the reflection over the x axis rule which says

\((x,y) \to (x, -y)\)

the x coordinate stays the same, and the y coordinate flips from positive to negative (or vice versa).

Based on what was mentioned for D', E', F' and G', we get the following

D'' = (1, -3)

E'' = (1, -1) .... this point does move now

F'' = (3, -1)

G'' = (3, -4)

Points E' and E'' are in different locations because all fixed points in this reflection are along the mirror line y = 0 (aka the x axis). In other words, if E was on the x axis, then it would not move if we applied this reflection.

Check out the diagram below see a visual summary of what happened. Note how the red points moved in closer to point E (since the distances from the center E have been cut in half) compared to the blue counterparts.

Please help with number 2!

Range of g(x)=3 square root of x

Range of g(x)=3 square root of x

Answers

The range of the function g(x) is given as follows:

[0, ∞).

How to obtain the domain and range of a function?

The domain of a function is obtained as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is obtained as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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please please help me

Answers

Answer:

what are you doing

Step-by-step explanation:

P = $3300, r = 5.3%, t = 8 monthsCalculate the simple interest earned. Round to the nearest cent.

Answers

The formula for finding simple interest is as given below

\(I=\frac{\text{PRT}}{100}\)\(\begin{gathered} I=\text{Interest} \\ P=P\text{rincipal} \\ r=\text{Rate} \\ t=\text{time in years} \end{gathered}\)

The following were given in the question

\(\begin{gathered} P=\text{ \$3300} \\ r=5.3\text{ \%} \\ t=8\text{months}=\frac{8}{12}\text{years}=\frac{3}{4}=0.75\text{years} \end{gathered}\)

Substitute the given into the formula to get the value of the interest as shown below

\(I=\frac{\text{Prt}}{100}=\frac{3300\times5.3\times0.75}{100}\)\(\begin{gathered} I=\frac{13117.5}{100} \\ I=131.175 \end{gathered}\)

Hence, the simple interest earn is $131. 175

School starts at 8:35 am. It takes billy 32 minutes to get dressed, 13 minutes to eat breakfast, and 17 minutes to walk to school. At what time should billy get up to be right on time for school? : *

Answers

The time Billy should get up to be right on time for school is 6:52 am.

The formula to calculate the time Billy should get up to be right on time for school is as follows: Time Billy Should Get Up = School Start Time - (Time to Get Dressed + Time to Eat Breakfast + Time to Walk to School). In this case, the formula is: Time Billy Should Get Up = 8:35 am - (32 minutes + 13 minutes + 17 minutes). In order to solve this equation, first we must convert the minutes to hours. 32 minutes is equal to 0.53 hours and 13 minutes is equal to 0.22 hours. 17 minutes is equal to 0.28 hours. Thus, the formula is: Time Billy Should Get Up = 8:35 am - (0.53 hours + 0.22 hours + 0.28 hours). Now, we can solve for the time Billy should get up. 8:35 am minus 0.53 hours is 7:42 am. Then, 7:42 am minus 0.22 hours is 7:20 am. Finally, 7:20 am minus 0.28 hours is 6:52 am. Therefore, the time Billy should get up to be right on time for school is 6:52 am.

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Cronbach's alpha indicates to what extent scale items are correlated to each other?
True
False

Answers

False. Cronbach's alpha is a measure of internal consistency reliability, not a measure of the correlation between scale items.

It assesses the extent to which the items in a scale or questionnaire are measuring the same underlying construct.

Cronbach's alpha is calculated based on the inter-item correlations among the items in a scale. It provides a measure of the average correlation between all possible pairs of items in the scale. The range of Cronbach's alpha is between 0 and 1, with higher values indicating greater internal consistency or reliability.

Essentially, Cronbach's alpha quantifies the extent to which the items in a scale are consistently measuring the same construct or concept. It assesses how well the items "hang together" as a reliable measurement tool.

While correlation between scale items is related to internal consistency, Cronbach's alpha specifically measures the degree to which the items are interrelated and provides a single coefficient that reflects the overall reliability of the scale. It does not directly indicate the extent of item-item correlations or the strength of individual item contributions to the scale.

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How much is 123 pounds in kilograms?

Answers

55.79 kilos are equal to 123 pounds.

There are 0.45359237 kilogram in a pound.

55.79 kilos are equal to 123 pounds (123 x 0.45359237).

The imperial system of measuring uses the unit of mass known as 123 pounds. We must convert pounds to kilogrammes in order to determine how many kilogrammes this is. Since one pound is equal to 0.45359237 kilogram , we must multiply this number by 123 to get how many kilogrammes 123 pounds are. This computation yields a total weight of 55.79 kilos.Hence, 123 pounds are equivalent to 55.79 kilos. It is helpful to know how to convert between the two units of measurement because doing so is a crucial skill for measurements and calculations in general.

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Simplify. Write your answer as a proper or improper fraction in simplest form.

8/3 / 7/5 = ?​

Answers

Step-by-step explanation:

the answer is 40 / 21

pls mark brainliest

Megan owns a clothing boutique. The table below represents the profit made, in dollars, every year since 2010, where x represents the number of years since 2010. Years since 2010 0 1 2 3 4 5 Profit (dollars) 39,000 84,000 111,000 120,000 111,000 84,000 Which of the following statements is true for this situation? O A. Since the profit made in 2011 is equal to the profit made in 2015, the profit is symmetric about the line x= 4. O B. Since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y= 120,000. OC. The profit is not symmetric. OD. Since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line x= 3.​

Answers

Answer:

Step-by-step explanation:

I think it’s 738,738.977 I mean

Suppose there are five processes, their arrival time and running time are listed as follows. Adopt FCFS and SJF, respectively, give the schedule order and average waiting time. (12) 1) Give the schedule order of FCFS. (3) 2) Compute the average waiting time of FCFS. (3) Give the schedule order of SJF. (3) 3) 4) Compute the average waiting time of SJF. (3) Process Arrival time Running time Pl 0 3 P2 3 10 P3 4 6 P4 5 1

Answers

FCFS schedule order: Pl -> P2 -> P3 -> P4

Average waiting time for FCFS: 8.75

SJF schedule order: Pl -> P4 -> P3 -> P2

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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Stacy's class went on a field trip to the aquarium, where Stacy counted the number of fish in 10 schools that swam by: 45 fish 47 fish 46 fish 44 fish 47 fish 43 fish 43 fish 44 fish 47 fish 45 fish What was the range of the sizes of a school?

Answers

Given :

the number of fish in 10 schools that swam by:

45 , 47 , 46 , 44 , 47 , 43 , 43 , 44 , 47 , 45

so, the minimum = 43

And the maximum = 47

so, Range = maximum - minimum = 47 - 43 = 4

The approximate circumference of a circle that has a center at (8,6) and passes
through the point (8, 12) is:
units.
:: 12
:: 36
38
:: 113

Answers

Answer:

????

Step-by-step explanation:


Graph the function and analyze it for domain, range, continuity, increasing or decreaseing behavior, symmetry, boundedness,
extrema, asymptotes, and end behavior.
f(x)=3•e^2x

Answers

A graph is a collection of points and the connections between some subset of those points that may or may not be empty in mathematical terms.

What are the values of the terminologies of the graph ?

The given function is f (x ) = \(3e^{2x}\)

1. Domain :

The function has no undefined points or domain constraints . Therefore the domain is -∞ < x < ∞ .

2.Range :

The range of the exponential function is of the form f(x) > kSince k = 0,   f(x) > 0

3.Continuity:

The graph is a single, continuous curve (i.e. a curve that can be drawn in one movement without taking your pen off the paper). We can observe that the function is basically  continuous.

4.Behaviour that is either increasing or decreasing:

For any x in the domain, as x grows, f(x) shrinks. This indicates that the function behaves in a diminishing manner.

5.Symmetry:

It is clear to see the graph of f(x) has no symmetry.

6.Boundedness:

When we choose negative values, the graph of f(x) expands upward exponentially, showing that it is unbounded above.

7.Extrema:

There are no extreme points for the function.

8.Asymptotes:

This curve does not have any vertical asymptotes, despite the way it seems. Simply put, the curve's negative-x region is expanding so swiftly that it resembles an asymptote. For any x < 0, there is a value for f(x). However, a horizontal asymptote exists , y = 0.

9.End behaviour :

As \(\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty\) As,\(\:x\to \:-\infty \:,\:f\left(x\right)\to \:0\)Refer image for graph.

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Graph the function and analyze it for domain, range, continuity, increasing or decreaseing behavior,
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A decrease in the price level will cause: Multiple ChoiceO the long-run aggregate supply curve to shift to the right.O a movement rightward along the short-run aggregate supply curve. O the short-run aggregate supply curve to shift to the right. O the aggregate demand curve to shift to the right. What is Jonathan Swift's proposal in A Modest Proposal? Guests at a picnic try to guess the number of candies in a jar. The distribution of guesses has a mean of 858585 candies and a standard deviation of 121212 candies.Suppose the jar actually holds 105105105 candies, and we want to convert each guess to its errorthat is, we'll subtract 105105105 from each guess to see how far above or how far below the guess was from the correct number. The rental costs for a car are shown in the graph. Estimate the rental cost for 6 days $210 $160 $150$200$180Rental CostTime (days) What was the Supreme Courts decision in Barron v. Baltimore in 1833?The city of Baltimore owed Barron payment for damagesThe Bill of Rights did not apply at the state level.Naturalized citizens were guaranteed equal rights.The city of Baltimore had violated the Fourteenth Amendment. Suppose that y varies directly with .x, and y=-8 when x=2.(a) Write a direct variation equation that relates x and y.Equation:(b) Find y when x = 5.OC a.) for the binomial distribution with parameters n=10 and p=0.5, what is P(X=2)?b.) P(X2)d.) P(X>=2)e.) what's the median?f.) what values of n and p should be selected to make a highly skewed distribution? what about a symmetric distribution? andrew wants to create a budget to improve his spending habits. his needs are his rent, groceries, utilities, car payments, and insurance payments. let g be the cost of groceries and cc be the cost of his car payments. he earns $2000 per month after taxes and estimates his rent is 2.5 times as much as his grocery costs. the amount he spends on utilities is $75 less than his grocery costs. he spends 1.5 times as much on his insurance payments as he does on his car payments. assuming that andrew uses the 50/30/20 budget rule, which function models the cost of his car payments? if u help ill mark u brainiest Intro You've estimated the following expected returns for a stock, depending on the strength of the economy: 3+ decimals Submit Part 1 What is the expected return for the stock? State (s) Probability Expected return -0.04 0.07 0.12 4+ decimals Recession Normal Expansion Submit 0.1 0.5 0.4 Part 2 What is the standard deviation of returns for the stock? what volume will a balloon occupy at 1.0 atm, if the balloon has a volume of 3.8 l at 1.9 atm?A. 1.50 lB. 1.9 lC. 2.0 lD. 5.7 lE. 7.2 l What primarily motivated the United States and the Soviet Union to providemilitary assistance to Middle Eastem nations during the Cold War?A. They wanted to gain allies in the Middle East, a strategicallyimportant region.B. They were each attempting to expand their colonial empires foreconomic reasons.OC. They wanted to establish military bases in the region in order toIncrease their own missiles' range.D. They were aiding recently decolonized nations in the hope ofhelping them develop economically.L In a traditional economy, who decides what to produce and how to produce it government private ownersFarmers, herders, and hunters gym offers multiple exercise classes per day. The number of people in an exercise class this week is represented in the list.3, 6, 8, 7, 2, 4, 5, 10, 7, 14What is the value of the mode for this data set? 14 8 7 3 plz answer serious answers only (1 point) find the coordinates of the point (x, y, z) on the plane z = 2 x 2 y 1 which is closest to the origin. Three ways in wich stereotype in media could negatively affect HIV positive in learner and educator How does Jamelle demonstrate appropriate behaviorfor participating in a formal discussion? Check all thatapplyHe reviews the agenda for the group.He came prepared to speak about the topic.O He asks a question to elaborate on the point.He speaks using appropriate tone and grammar.He remained focused on the goals of thediscussion If the price of a product is $12, its average total cost is $2 and its average total cost is $15 at the profit-maximizing output level, in the short run the firm: a. must always shut down. O b. should expand output until MR = MC. C. cannot cover total fixed costs. d. experiences a loss. social facilitation performance for well-learned tasks and performance for complex tasks. a. improves; improves b. hinders; improves c. improves; hinders d. hinders; hinders