What is the volume of a cylinder with a radius of 2 cm and a height of 8 cm?​

Answers

Answer 1

Answer:

V = 100.531 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder: V = πr²h

Step-by-step explanation:

Step 1: Define Variables

r = 2 cm

h = 8 cm

Step 2: Find Volume

Substitute [Volume]:                    V = π(2 cm)²(8 cm)Exponents:                                   V = π(4 cm²)(8 cm)Multiply:                                        V = π(32 cm³)Multiply:                                        V = 100.531 cm³

Related Questions

Please, does anyone know the step to solve this equation? I mark u brainlist.

Answers

Answer:

(2, -6)

Step-by-step explanation:

First you want to set both equations equal to each other so you can find one of the variables.

y = x^2 + 3x -4

for second equation lets rearrange so we start with y=

x=y-4

add 4 to both sides

4+x = y or y= x+4

since both equations equal y, lets set them equal to each other

x+4 = x^2 + 3x -4

set it equal to 0 by subtracting x and 4 from both sides

x^2 + 2x -8 = 0

factor

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

so x has to be either -4 or 2. We can shortcut and say only B makes sense since x=2.

to double check, plug in x=2 in both equations

y= 2^2 + 3(2) -4 = 4+6 -4 = 6

2 = y -4; y=6

so B is correct.

please give thanks by clicking the heart button, i spent a while :)

Help 6th grade math thanks

Answers

I think 8.75, but math is like my worst subject so if I got it wrong tell me:)

A football pitch is 110m long and has a perimeter of 360m . Find the area of the football pitch .

Answers

Answer:

same

Step-by-step explanation:

bro

The area of the given football pitch is required.

The area of the football pitch is [tex]7700\ \text{m}^2[/tex]

Area and perimeter

l = Length of pitch = 110 m

P = Perimeter of pitch = 360 m

w = Width of pitch

Football pitches are rectangular.

Perimeter of the pitch is given by

[tex]P=2(l+w)\\\Rightarrow w=\dfrac{P}{2}-l\\\Rightarrow w=\dfrac{360}{2}-110\\\Rightarrow w=70\ \text{m}[/tex]

Area is given by

[tex]A=lw\\\Rightarrow A=110\times 70\\\Rightarrow A=7700\ \text{m}^2[/tex]

Learn more about area and perimeter:

https://brainly.com/question/19819849

The lines represented by the equations y - x = -8 and y = -x – 6 are
the same line
Submit Answer
neither parallel nor perpendicular
perpendicular
parallel

Answers

Answer:

Perpendicular

Step-by-step explanation:

Here, the slopes of the lines are 1 & -1

( they are same with opposite symbols) so, the lines are perpendicular

A 128 inch board is cut into 3 pieces. The second piece is 33 inches longer than the first piece, and the third is three times as long as the first. Set up an equation and solve it to determine the length of the three pieces.

Answers

Answer:

The first piece is 19 inches, the second is 52, and the third piece is 57.

Step-by-step explanation:

Solve for x using (x) + (x + 33) + (3x) = 128.

which one of these
do you know which one of these will help me like 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 6 * 3 6+6+
3*66+3

Answers

Answer:

447

Step-by-step explanation:

Answer:

447

Step-by-step explanation:

The sum of eighteen and eight times a number is ninety.
what is the number?

Answers

Answer:

9

Step-by-step explanation:

9x8=72 72+18=90

9 is your answer because 8 x 9 = 72 + 18 = 90

So i need help with the question below.

Answers

Answer:

Option (1)

Step-by-step explanation:

Option (1)

[tex]3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}[/tex]

[tex]3\frac{3}{9}+7\frac{6}{11}[/tex] [tex]=3+\frac{3}{9}+7+\frac{6}{11}[/tex]

             [tex]=(3+7)+(\frac{3}{9}+\frac{6}{11})[/tex]

             [tex]=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})[/tex]

             [tex]=10+(\frac{33}{99}+\frac{54}{99})[/tex]

             [tex]=10+\frac{87}{99}[/tex]

             [tex]=10\frac{87}{99}[/tex]

True.

Option (2)

[tex]2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}[/tex]

[tex]2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}[/tex]

             [tex]=(2+6)+(\frac{3}{8}+\frac{4}{5})[/tex]

             [tex]=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})[/tex]

             [tex]=8+(\frac{15}{40}+\frac{32}{40})[/tex]

             [tex]=8+\frac{47}{40}[/tex]

             [tex]=8+\frac{40}{40}+\frac{7}{40}[/tex]

             [tex]=8+1+\frac{7}{40}[/tex]

             [tex]=9+\frac{7}{40}[/tex]

             [tex]=9\frac{7}{40}[/tex]

False.

Option(3)

[tex]3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}[/tex]

[tex]3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})[/tex]

             [tex]=(3+4)+(\frac{3}{7}+\frac{2}{3})[/tex]

             [tex]=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})[/tex]

             [tex]=7+(\frac{9}{21}+\frac{14}{21})[/tex]

             [tex]=7+(\frac{23}{21})[/tex]

             [tex]=7+(\frac{21}{21}+\frac{2}{21})[/tex]

             [tex]=8+\frac{1}{21}[/tex]

             [tex]=8\frac{1}{21}[/tex]

False.

Option (4)

[tex]4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}[/tex]

[tex]4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}[/tex]

             [tex]=(4+5)+(\frac{5}{6}+\frac{5}{7})[/tex]

             [tex]=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})[/tex]

             [tex]=9+(\frac{35}{42}+\frac{30}{42})[/tex]

             [tex]=9+\frac{65}{42}[/tex]

             [tex]=9+(\frac{42}{42}+\frac{23}{42})[/tex]

             [tex]=9+1+\frac{23}{42}[/tex]

             [tex]=10\frac{23}{42}[/tex]

False.

Therefore, Option (1) is the answer.

this has me a bit confused...can anyone help?

Answers

Answer:

x = 3b/2 + 3y/2

Step-by-step explanation:

Goal: Find x

To do that we must isolate x on one side of the equation.

2/3x - y = b

2/3x - y + y = b + y

2/3x = b + y

2/3x ÷ 2/3 = b + y ÷ 2/3

(When we divide fractions we multiply by its reciprocol.)

x = 3b/2 + 3y/2

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

I really don't understand all of this

Answers

Answer:

Step-by-step explanation:

Distribute each one like a robot

Or factor it like a human.

5(x+2y - 3)

Answer:

[tex]5(x + 2y - 3)[/tex]

Step-by-step explanation:

[tex]the \: answer \: while \\ \: expanding \: will \: get \: like \: this \\ \\ 5(x + 2y - 3) \\ = (5 \times x) +( 5 \times 2y )+ (5 \times - 3) \\ = 5x + 10y - 15 \\ \\ hope \: it \: helps \\ plzzz \: mark \: it \: as \: brainliest...[/tex]

What is the digit to the right of the decimal point in the decimal form of 4/37
?

Answers

Answer:

2/15

Step-by-step explanation:

g A nationwide survey of 17,000 college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking. If 18 of these seniors are selected at random and asked their opinion, what is the probability that more than 9 but fewer than 14 disapprove of smoking pot daily

Answers

Answer:

the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

Step-by-step explanation:

From the information given:

Let N represent the total number of senior students

N = 17000

and k to be the number of seniors disapproving of daily pot smoking

k = 17000 × 0.70

k = 11900

sample size n = 18

Suppose X represents the random variable...

Then,

X = 0,1,2,...,18

Thus X follows a hypergeometric distribution with parameters

(N = 17000, n = 18 & k = 11900)

Thus, the  probability mass function is:

[tex]P(X =x) = \dfrac{(^k_n) (^{N-k}_{n-x} ) }{(^N_n) }; \ max \{0,(N-K) \} \le x \le min \{n,k\}[/tex]

[tex]P(X =x) = \dfrac{(^{11900}_n) (^{17000-11900}_{18-x} ) }{(^{17000}_{18}) }[/tex]

[tex]P(X =x) = \dfrac{(^{11900}_n) (^{51000}_{18-x} ) }{(^{17000}_{18}) }; \ 0\le x \le 18[/tex]

Now, the required probability is computed as:

[tex]P(9<X<14) = P(10 \le X \le13)[/tex]

[tex]P(9<X<14) = P(X =10) +P(X =11) +P(X=12) +P(X =13)[/tex]

[tex]P(9<X<14) = \left\{\begin{array}{c} \dfrac{(^{11900}_{10}) (^{5100}_{18-10}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{11}) (^{5100}_{18-11}) }{(^{17000}_{18})}+ \dfrac{(^{11900}_{12}) (^{5100}_{18-12}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{13}) (^{5100}_{18-13}) }{(^{17000}_{18})}\end{array}\right\}[/tex]P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018

P(9<X<14) = 0.608

Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

How do you write 0.0704 in scientific notation?​

Answers

Answer:

well for me I think it's

Step-by-step explanation:

7.04×10^-2

i think the correct answer is the one above mine. i got the same thing

Here are the monthly charges for Jo's mobile phone
Monthly charge 616
150 free minutes, then 18p per minute
150 free texte, then 18p per text
During one month, Jo makes 170 minutes of calls and sends 182 texte,
Work out the total charge for the month

Answers

Jo's Mobile Plan:
Fixed monthly charge = £16
Monthly 150 free minutes, post that 13p (or £0.13) per minute,
Monthly 150 free texts, post that 15p (or £0.15) per text
Jo's mobile phone usage details:
170 minutes of calls
182 texts
Total Charges for Jo = Fixed Monthly Charge + Charges for Calls + Charges for Texts
⇒ Total Charges for Jo = 16 + (170-150) × 0.13 + (182-150) × 0.15
⇒ Total Charges for Jo = 16 + (20) × 0.13 + (32) × 0.15
⇒ Total Charges for Jo = 16 + 2.6 + 4.8
⇒ Total Charges for Jo = 23.4
Hence, Jo should be charged £23.4 for the month.

Hope this helps !

Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..

Answers

Complete Question

Each of the following hypothetical data set represents some repeated weighing of a standard weight that is known to have a mass of 100 g. Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..

The data in grams  are

     100.02 , 99.98 , 100.03

Answer:

The p-value is  [tex]p-value =0.5798[/tex]

Step-by-step explanation:

    Generally the sample mean of the given data is mathematically represented as

        [tex]\= x = \frac{100.02 + 99.98 + 100.03 }{3}[/tex]

        [tex]\= x =100.03 \ g[/tex]

Generally the standard deviation is mathematically represented as  

        [tex]s = \sqrt{\frac{\sum [x_i - \= x]^2 }{n-1} }[/tex]

=>     [tex]s = \sqrt{\frac{[ 100.02 - 100.01]^2+ [ 99.98 - 100.01]^2+[ 100.03 - 100.01]^2 }{3-1} }[/tex]

=>     [tex]s = 0.02645[/tex]

The null hypothesis is  [tex]H_o : \mu = 100[/tex]

The alternative hypothesis is  [tex]H_a : \mu \ne 100[/tex]

Generally the degree of freedom is mathematically represented as

            [tex]df = n - 1[/tex]

=>         [tex]df = 3 - 1[/tex]

=>         [tex]df = 2[/tex]

Generally the test statistics is mathematically represented as    

          [tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]

=>      [tex]t = \frac{ 100.01 - 100 }{\frac{0.02645}{\sqrt{3} } }[/tex]  

=>      [tex]t = 0.655[/tex]

From the t distribution table the probability corresponding to the t  to the right of the bell curve  at a degree of freedom of  [tex]df = 2[/tex]

         [tex]P( T > 0.655 ) = 0.2899[/tex]

Generally the p-value for this two tailed test is mathematically represented as

          [tex]p-value = 2 * P(T > 0.655)[/tex]

=>       [tex]p-value = 2 * 0.2899[/tex]

=>       [tex]p-value =0.5798[/tex]

       

How can you tell the diffrence between horizontal and vertical translation in an equation?

Answers

You can tell based off the translation of graphs.
Vertical:

y=f(x) + k : graph shifts k units up

y=f(x) - k : graph shifts k units down

Horizontal:

y=f(x - k) : graph shifts k units right

y= f(x+k) : graph shifts k units left

what is the incline slope of the ramp?

Rise= 2 feet
run = 10 feet​

Answers

The in cline of the ramp is 7.2

What is the common difference for this arithmetic sequence?
-6, -1,4,9, 14, ...

A. 5
B. 3
C. 6
D. 4

Answers

the answer would be A. 5 because each time you add 5 hope this helps and make me branliest please(:

Answer:

A. 5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

In a quadrilateral, all four of the angles are right angles. if the figure doe isn’t have four congruent sides, what is it?
rectangle
quadrilateral
rhombus
square

Answers

the correct answer is rectangle

Answer:

rectangle

Step-by-step explanation:

Charles received a $3.00 tip from a customer who had a $12.00 bill. Which decimal represents the fraction of the bill Charles received as a O 0.12 0 0.25 O 0.3 O 0.4​

Answers

Answer:

I think 0.4 would be the answer

Answer:

0.12 go to places to the left

If integral subscript C subscript 1 end subscript F with rightwards arrow on top times d r with rightwards arrow on top equals 6 and integral subscript C subscript 2 end subscript F with rightwards arrow on top times d r with rightwards arrow on top equals 13, find A. the line integral where C is the path from P to Q over C subscript 1 and then back to P over C subscript 2. integral subscript C F with rightwards arrow on top times d r with rightwards arrow on top equals _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Answers

To my best understanding, you're given that

[tex]\displaystyle\int_{C_1}\vec F\cdot\mathrm d\vec r=6\text{ and }\int_{C_2}\vec F\cdot\mathrm d\vec r=13[/tex]

where C₁ and C₂ are some arbitrary paths, evidently starting at the point P and ending at the point Q, and you have to find the value of

[tex]\displaystyle\int_C\vec F\cdot\mathrm d\vec r[/tex]

where C is the path consisting of C₁ (from P to Q) and the reverse of C₂ (from Q back to P). So we have

[tex]\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_{C_1}\vec F\cdot\mathrm d\vec r - \int_{C_2}\vec F\cdot\mathrm d\vec r = 6-13 = \boxed{-7}[/tex]

Which equation represents the parabola shown on the
graph?
A. y2 = -2x
B. y2 = -8%
C. x2 = -2y
D. x2 = -8y

Answers

Answer:

y2=-8x is what's graphed so B.

Step-by-step explanation:

(I think you mistyped the choice)

Answer:

Which equation represents the parabola?  

a) y2 = –2x

b) x2 = –2y

c) y2 = –8x

d) x2 = –8y

Step-by-step explanation:

C for edge 2021

Two researchers make a test concerning standardized exam performance among senior high school students in one of two local communities. Researcher A tests performance from the population in the northern community, where the standard deviation of test scores is 110 ( ); Researcher B tests performance from the population in the southern community, where the standard deviation of test scores is 60 ( ). All other things being equal, which researcher has more power to detect an effect? Explain.

Answers

Answer:

Researcher B

Step-by-step explanation:

Normally, when all other things being equal, we usually say that power is higher when the standard deviation is small than when it is large.

Now, from researcher A, standard deviation is 110 while from researcher B, standard deviation is 60.

We can see that the standard deviation for researcher B is smaller than that of researcher A.

Therefore, we can conclude that since the standard deviation for researcher B is lesser than that of researcher A, it means that Researcher B will have more power to detect an effect.

Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212 ​

Answers

Answer:

Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212

Step-by-step explanation:

Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212

Answer:

 

The answer is b. 3 +  n / 2

Step-by-step explanation:

The weight of a child in 1990 was 40 lb. By 2005, the child's weight
had increased to 90 lb. What was the percent increase?

Answers

Answer:

225%

Step-by-step explanation:

1. Divide the new weight by the original weight.

90/40 = 2.25.

2. Multiply by 100 to get the percentage.

2.25 x 100 = 225%

The percentage increase of the child from 1990 to 2005 is 125%.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The weight of a child in 1990 was 40 lb. By 2005, the child's weight

had increased to 90 lb.

So, The amount of weight increase is (90 - 40)lb = 50lb.

∴ The percentage increase is,

= (50/40)×100%.

= 125%.

learn more about percentage change here :

https://brainly.com/question/14801224

#SPJ2

what is 13,931 rounding by 10​

Answers

Answer:

13,930

Habe ein gut tag.

It would be 13,930 because “5 or more you raise the score,4 or less you let it rest”


9 cm
14 cm
If the lengths of all 4 sides of the rectangle are doubled,
then the area will

Answers

Answer:

I think it's 149cm

Step-by-step explanation:

I just doubled the numbers and multiplied them

How to write slope intercept form of
y = -5/4 (x+4)

Answers

Answer: y=−5/4x−5

Step-by-step explanation:

2 Which expression is equivalent to
5 - 14? Select all that apply.
A -3.3
B
9+ (-1)
C
- 5+ 14
D 14 - (-5)




Answers

Answer:

C because two them answer is same!!

Step-by-step explanation:

-5+14=9

5-14=9

Answer:

Not a because it is -9.

Not b, that is 8,

not c that is 9

not d that is 19

None are correct?

Step-by-step explanation:

Which is greater 3/8 or 6/16

Answers

Answer:

they are the same

Step-by-step explanation:

They are the same

[tex]\frac{3}{8}\\\\=\frac{3}{8}\times\frac{2}{2}\\\\=\frac{3*2}{8*2}\\\\=\frac{6}{16}[/tex]

Other Questions
Why might Montresor becarrying a trowel, or shovel?What guess can you about hisplans? If Danny gains 40 yards on the football field and then looses 15, What was the end result? PLEASSSEEEE ANSWER FAST We know that Jules Verne is the author of Journey to the Center of the Earth. This book is a classic thathas spawned many adventure stories, television shows and at least two movies. In order to understandthe book a little bit better, it helps if we know a little something about the author. Write down a couple ofquestions that you think might be helpful or interesting to know about him. Once you have generatedthose questions, it is time to do a little detective work. Using the Internet (remember focus on sites thatseem reputable) or your local library and helpful librarian, try to find answers to the questions you cameup with. Write out your answers to the questions in a 100-word response in your journal.I NEED HELP PLS!!! What common molecules are made with atoms of nitrogen? please help HURRRRYYY!!!! I WILL GIVE BRAINLIEST!!!!Match the principle of government to the question it answers.1. states rights How are powers in the national and state government kept separate? 2. popular sovereignty How are citizens wishes made known in government? 3. representative government What protects individual freedoms from government oppression? 4. political ideology What guides the beliefs that a government follows? 5. limited government Where does the government get its power given a force of 88n and an acceleration of 4m/s2 what is the mass The metaphysical poets used elaborate metaphors and preferred intellect over sentiment in their poetry.a. True b. False: The value of the 3 number 138 is how many times as great as the value of the 3 in the number 14,397 Eugene ate 20% of the Christmas cookies hisgrandmother made. If he ate 8 cookies, howmany are left? CAN SOMEONE PLEASEEEE HELP ME WITH THIS SCIENCE QUESTION THANK YOU:) Read the excerpt from Act IV of Hamlet.Claudius: Good Laertes,If you desire to know the certaintyOf your dear father's death, is 't writ in your revenge,That, swoopstake, you will draw both friend and foe,Winner and loser?Laertes: None but his enemies.Claudius: Will you know them then?Laertes: To his good friends thus wide I'll ope my arms;And like the kind life-rendering pelican,Repast them with my blood.How does this confrontation advance the plot?The concept of revenge is introduced for the first time in the play.The plays action reaches a climax as Laertes exacts revenge.The suspense builds as Claudius clarifies Laertes's goal.The play's action is resolved as Claudius and Laertes make peace. 4x + 2y = 7I need help This question involves a simulation of a two-player game. In the game, two simulated players each start out with an equal number of coins. In each round, each player chooses to spend either 1, 2, or 3 coins. Coins are then awarded to each player according to the following rules.Same rule: If both players spend the same number of coins, player 2 gains 1 coin.Off-by-one rule: If the players do not spend the same number of coins and the positive difference between the number of coins spent by the two players is 1, player 2 is awarded 1 coin.Off-by-two rule: If the players do not spend the same number of coins and the positive difference between the number of coins spent by the two players is 2, player 1 is awarded 2 coins.The game ends when the specified number of rounds have been played or when a players coin count is less than 3 at the end of a round.The CoinGame class is shown below. You will write two methods in the CoinGame class.public class CoinGame{private int startingCoins; // starting number of coinsprivate int maxRounds; // maximum number of rounds playedpublic CoinGame(int s, int r){startingCoins = s;maxRounds = r;}/** Returns the number of coins (1, 2, or 3) that player 1 will spend.*/public int getPlayer1Move(){/* implementation not shown. */}/** Returns the number of coins (1, 2, or 3) that player 2 will spend, as described in part (a).*/public int getPlayer2Move(int round){/* to be implemented in part (a) */}/** Plays a simulated game between two players, as described in part (b).*/public void playGame(){/* to be implemented in part (b) */}}In the simulation, player 2 will always play according to the same strategy. The number of coins player 2 spends is based on what round it is, as described below.(a) You will write method getPlayer2Move, which returns the number of coins that player 2 will spend in a given round of the game. In the first round of the game, the parameter round has the value 1, in the second round of the game, it has the value 2, and so on. The method returns 1, 2, or 3 based on the following rules.If round is divisible by 3, then return 3.If round is not divisible by 3 but is divisible by 2, then return 2.If round is not divisible by 3 and is not divisible by 2, then return 1.Complete method getPlayer2Move below by assigning the correct value to result to be returned./** Returns the number of coins (1, 2, or 3) that player 2 will spend, as described in part (a).*/public int getPlayer2Move(int round){int result; return result;}Write the method playGame, which simulates a game between player 1 and player 2, based on the rules and example shown at the beginning of the question. Both player 1 and player 2 start the game with startingCoins coins. Computer player 1 spends 1, 2, or 3 coins based on the value returned by the method getPlayer1Move(). Computer player 2 spends 1, 2, or 3 coins based on the value returned by the method getPlayer2Move().The game ends when maxRounds rounds have been played or when a players coin count is less than 3 at the end of a round.At the end of the game, the winner is determined according to the following rules.If both players have the same number of coins at the end of the game, the method prints "tie game".If player 1 has more coins than player 2, the method prints "player 1 wins".If player 2 has more coins than player 1, the method prints "player 2 wins".(b) Assume that getPlayer2Move works as specified, regardless of what you wrote in part (a) . You must use getPlayer1Move and getPlayer2Move appropriately to receive full credit.Complete method playGame below./** Plays a simulated game between two players, as described in part (b).*/public void playGame() PLZ HELP SIMPE TRUE OR FALSEThe tribes in Pontiac's Conspiracy came only from the south, near Georgiatrue or falseThe Stamp Act was the first tax to visibly affect all the coloniststrue or false The American College Testing Corporation has a test called the ACT that is used for admissions to college. The American College Testing Corporation reports that students who attend 2-year colleges in the Midwest United States have an average ACT score of 21.5, with a standard deviation of 3.17. The president of the Minneapolis Community College wonders if students who attend her college have a ACT scores that are significantly different from the ACT scores reported by the American College Teaching Corporation. The president would perform a ___________ test, and use a z-critical value of _____. NUMBER 6 ONLY. Please help. Only if you are SURE A company used straight-line depreciation for an item of equipment that cost $16,950, had a salvage value of $4,200, and had a five-year useful life. After depreciating the asset for three complete years, the salvage value was reduced to $1,860 and its total useful life was increased from 5 years to 6 years. Determine the amount of depreciation to be charged against the machine during each of the remaining years of its useful life: Rhombus JKLM with vertices J(-4,7), K(0,8), L(-1, 4), and M(-5,3): (x, y) ------> (x + 2, y - 2) . In the formula I=Prt, what does I stand for?