Function f is given by the table of values shown.
x|0|1|2|3
f(x)|7|0|-5|-8
If function fis reflected across the x-axis to obtain function g, complete the table of values which represents function g.​

Answers

Answer 1

Answer:

x | 0 | 1 | 2 | 3

f(x) | - 7 | 0 | 5 | 8

Step-by-step explanation:

When you reflect a point say across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). Therefore if the function f( x ) is reflected across the x - axis, it's new function would be y = - f( x ). This new function is function g, so you can also say y = - g( x ).

Given the following table ...

x | 0 | 1 | 2 | 3

f(x) | 7 | 0 | - 5 | - 8 ... we can keep the x - values constant, but take the opposite of each y - value, or " f( x ). " Doing so the new table should be the following -

x | 0 | 1 | 2 | 3

f(x) | - 7 | 0 | 5 | 8 ... note that 0 remains constant as you can't take it's opposite, it remains zero. Therefore, the function g is represented by the above table.

Answer 2

The values of g(x) are as follows:

x    | 0 | 1 | 2 | 3

g(x) | -7 | 0 | 5 |  8

What is a Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

As per the given data:

We are given a function f(x) and a table where the values of f(x) at different values of x is given.

The table for the values is as follows:

x    | 0 | 1 | 2 | 3

f(x) | 7 | 0 |-5 | -8

We have to find the values for the function g(x) which is obtained when f(x) is reflected about the x-axis.

When any function is reflected about the x-axis, the values of the y-axis will have their signs changed, i.e. the y-axis values will become -ve if they are positive and +ve if they are -ve.

For g(x):

x    | 0 | 1 | 2 | 3

g(x) | -7 | 0 | 5 |  8

Hence, the values of g(x) are as follows:

x    | 0 | 1 | 2 | 3

g(x) | -7 | 0 | 5 |  8

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Related Questions

alice drank 18 ounces of gatorade after her gymnastic meet. there were 14 ounces left.How many ounces of gatorade was origanally in the container.​

Answers

Answer:

32 ounces

Step-by-step explanation:

18+14=32

32 is the total

Answer:

32 ounces

Step-by-step explanation:

She already drank 18 ounces and 14 ounces was left which means that If she didn't drink anything it would have been 32 ounces as 18 + 14 = 32

Hope this helps and pls mark as brainliest : )

Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.
What were Phil's net winnings from the tournament?
Write your answer as an expression.

Answers

Answer:

The answer would be 999 because 100 has 3 digits Hope You get a Good Grade And have a wonderful day!!

Write an equation in standard form of the line passing through the points (4, 3) and (7, 9).
The equation is
(Type your answer in standard form.)

Answers

Answer:

  2x -y = 5

Step-by-step explanation:

The 2-point form of the equation of a line is a useful starting point.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (9 -3)/(7 -4)(x -4) +3

  y = 6/3(x -4) +3 = 2(x -4) +3 = 2x -8 +3

Adding 5-y, we get ...

  2x -y = 5

Select all that apply. To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct? Please help! D:

Answers

Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

[tex]12.5 cm(\frac{10 milimeters}{1 centimeter})[/tex], which converts to centimetres to millimetres.

12.5 cm=125 mm.

Now, we can compare the values of 125 mm and 140 mm.

Clearly, we see that 140 mm is greater than 125 mm.

Let me know if this helps :)

Answer:

If this is your question:

Select all that apply.

To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{10 mm}{1 cm} = \frac{x}{140 mm} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x} \\\\\frac{12.5 cm}{1 cm} = \frac{140 mm}{x} \\\\[/tex]

Then your answer is:

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x}[/tex]    

I saw a lot of one answers, but the question is Select ALL that Apply

not just c or b

I hope this helped :))))) (●'◡'●)

PS: brainliest would be great but i'm not askin for it

Please hurry!

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

Answers

Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem

Step-by-step explanation:

The first one is the best

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 222 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for nnn hikers? Write your answer as an expression.

Answers

Answer:

This question contains some errors; the correct question is:

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for n hikers? Write your answer as an expression.

The answer is:

(2n) slices of bread for n hikers

Step-by-step explanation:

According to the question, sandwiches packed for a mountain hike with friends is made of two (2) slices of bread.

Each hiker gets one sandwich

This, n hikers will get n× 1 sandwich

= (n) sandwiches.

If 1 sandwich contains 2 slices of bread, then (n) sandwiches for n hikers will contain:

(2 × n) slices of bread

That is, (2n) slices of bread.

The expression is (2n).

9. Find P(rolling 1 or 5) with one number cube.

Answers

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

P ( 1 or 5) = number of times 1 or 5 happens / total outcomes

               = 2/ 6

               = 1/3

is this right? i’ll give brainliest :)

Answers

It is.

[tex]x-10 \geq 0\\\\x \geq 10\\\\\\-5 +n< -6\\\\n < 5-6\\\\n< -1[/tex]

Answer:

Correctomundo!

Step-by-step explanation:

For x-10 > 0:

1. Add 10 to both sides. x- 10 + 10 > 0 + 10

x > 10

For -5 + n < -6:

1. Simplify both sides of the inequality.  n - 5 < -6

2. Add 5 to both sides. n - 5 + 5 < -6 + 5

n < -1

:)

Which inequality is represented by the graph

Answers

Answer:

(-2, 5) < x

Step-by-step explanation:

Answer:

2/5x-1.5 > 0

Step-by-step explanation:

Solve the system using elimination 20x+3y=20 -20x+5y=60

Answers

8y=80
y=10
Substitute this y into one of the equations and solve for x. For example:
20x+30=20
x=-1/2.

(-1/2,10) is the solution.

Answer:

x=2, y=20

Step-by-step explanation:

20x+3y=20-20x+5y=60

Combine like terms, so you would do plus 20x both sides and minus 3y both sides.

After that you can also do minus 20 both sides.

So you are left with 40x=2y=40

On the graph of an exponential function representing growth what happens to the slope of the graph as X increases

Answers

Answer:

The slope of the graph will increase and get steeper.

Step-by-step explanation:

As x increases in an exponential growth graph, f(x) will have a larger value because the exponent value increases.

So, the graph will become steeper due to a larger slope.

The slope of the graph will increase and get steeper.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,m = Δy/Δx where, m is the slope

Given:

As we know that, all points on an exponential curve are always at a constant distance from one another because the slope of an exponential curve equals the constant rate of expansion.

The graph is not exponential if the slope is not constant.

So, In an exponential growth graph, f(x) will have a greater value as x grows as the exponent grows.

Consequently, a larger slope will cause the graph to grow steeper.

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Mike packed three granola bars, measuring 8 cm by 3 cm by 1cm. What volume a box needs
to hold twelve bars?​

Answers

Helloyo!


Answer: 288 cm^3

Explanation:

Volume of on bar = 8*3*1 = 24 cm^3

Volume of 12 bars = 8*3*1*12 = 24*12 = 288 cm^3


Hope it helps ya

Answer:

288 cm^3

Step-by-step explanation:

First, you have to calculate the volume of your individual bar. To do this, you multiply the three given values, so it would look like 8*3*1=24. This means that your individual bar has a volume of 24 cm^3.

To hold 12 granola bars, this would mean that your volume of the individual granola bar would be multiplied by 12, because that is how many you want to fit inside the box. So your operation would looked like 24*12=288 cm^3

Isabella filled her pool with water at a constant rate. The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes).

Time (m) Remaining Volume (L)
4 148
6 112
8 76

What is the size of her pool?

Answers

Answer:

It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters

Step-by-step explanation:

please answer need help with equation

Answers

Answer:

12

Step-by-step explanation:

We can use PEMDAS. First, we need to calculate the stuff in the parentheses, then the exponent, then the multiplication and finally, the addition.

1/3(4 · 3) + 2³

= 1/3 · 12 + 2³  -- Parentheses

= 1/3 · 12 + 8 -- Exponents

= 4 + 8 -- Multiplication

= 12 -- Addition

PLEASE HURRY!⚠️

Which is a perfect square?

Answers

6^2 is the correct answer

Answer:

Step-by-step explanation:

A number squared is a perfect square, thus

6² ← is a perfect square

I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposit in the bank THIS IS URGENT! PLEASE ANSWER! I REALLY NEED HELP! :((( :c :'( *crys

Answers

Answer:

You have to invest  $6,250

Step-by-step explanation:

very simple applying the simple interest formula which is

[tex]A = P (1 + rt)[/tex]

Given data

A, final amount =  $10,000

P, initial principal balance=  ?

r, annual interest rate = 7.5%

t, time (in years)= 8 years

we can substitute our given data to find the principal needed.

[tex]10000= P(1+0.075*8)\\\10000= P(1.6)\\\[/tex]

Divide both sides by 1.6 we have

[tex]P= \frac{10000}{1.6} \\\P= 6250[/tex]

P= $6,250

Identify the function type in the graph, and then describe a relationship that could be modeled by the function represented by the graph.

Answers

Answer:

Step-by-step explanation:

This is a decaying exponential function whose initial value is (0, 2).

a percent measures a rate a) per unit b)per 10 unit c) per 100 unit d) per 1000 unit

Answers

Answer:

[tex]\boxed{Option \ C}[/tex]

Step-by-step explanation:

Percentage means "out of hundred" So measuring the rate in percentage we've to find it using "per 100 units".

Answer:

c) per 100 unit

Step-by-step explanation:

a percent measures a rate:

per cent ⇒ per 100

The correct answer is option c.

A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab?
Round your answer to the nearest mile.
O A. 34 miles
OB. 17 miles
C. 35 miles
D. 16 miles

Answers

Answer:

A. 34 miles

Step-by-step explanation:

First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.

The answer to this problem is A. 34 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.

Let 'y' be the total amount and 'x' be the number of miles. Then we have

y = 3.50x + 1.65

If Mohammad wants to spend, at most $60. Then the number of miles is given as,

60 = 3.50x + 1.65

3.50x = 58.35

x = 16.67

x ≈ 17 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

More about the linear equation link is given below.

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Here is another easy question to answer: What is the mean of the data sets {41,19,29,12,49,30}, {28,22,10,30,15}, {49,24,18,53,38}?

Answers

Answer:

Data set A {41,19,29,12,49,30} = 30

Data set B {28,22,10,30,15} = 21

Data set C{49,24,18,53,38} = 36.4

Step-by-step explanation:

Data set A {41,19,29,12,49,30} =

Mean = Sum of terms/ number of terms

Number of term = 6

Mean = 41 + 19 + 29 + 12 + 49 + 30/ 6

= 180/6 = 30

Data set B {28,22,10,30,15} =

Mean = Sum of terms/ number of terms

Number of term = 5

Mean = 28 + 22 + 10 + 30 + 15/ 5

= 105/5 = 21

Data set C{49,24,18,53,38} =

Mean = Sum of terms/ number of terms

Number of term = 5

Mean =49 + 24 + 18 + 53 + 38/ 5

= 182/5 = 36.4

I WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!! Which equation does the graph below represent? y = −2x y = x y = 2x y = x (click the picture below)

Answers

Answer:

y = -2x

Step-by-step explanation:

Some points are (1,-2) , (2, -4), and (3,-6).

From these three points, we can try each of the equations to see what is correct.

If y = -2x

-2 = (-2)1

-4 = (-2)2

-6 = (-2)3

If y = x

-2 ≠ 1

-4 ≠ 2

-6 ≠ 3

If y = 2x

-2 ≠ 2(1)

-4 ≠ 2(2)

-6 ≠ 2(3)

Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.

Answers

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Complete the synthetic division problem below.
-32 4
What is the quotient in polynomial form?
O A. 2x2 + 2x-6
B. 2x2 + 2x-2
C. 2x2 - 2x + 6
D. 2x2 - 2x+ 2​

Answers

Answer:

D. 2x^2-2x+2

Step-by-step explanation:

Step 1: -3 | 2 4 -4 6

Step 2: -3 | 2 4 -4 6

                    -6  6 -6            

                | 2 -2  2 0

Bring 2 down to the answer then multiply it with 3 and add it with the next coefficient. Repeat the process until you get to the last number and you're done. Sorry its kind of hard to explain the steps for synthetic division. Hope this helps!

The synthetic division problem that is given has the quotient in polynomial form is 2x2 - 2x+ 2​. The correct option is D.

What is the polynomial form?

A polynomial is made up of terms, each of which has a coefficient, whereas an expression is a statement that has at least two integers and one mathematical expression.

Polynomials can be discovered by observing which formulas contain just addition, subtraction, multiplication, and non-negative integer exponents. Non-polynomial expressions will be those that contain other operations.

-3 | 2 4 -4 6

-3 | 2 4 -4 6

-6  6 -6            

2 -2  2 0

Bring 2 down to the solution, multiply it by 3, and then add it to the next coefficient. Repeat the process until you reach the last number, then stop.

Therefore, the correct option is D. 2x2 - 2x+ 2​.

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In the figure below which term best describes point 7?​

Answers

The three lines drawn are at 90 degree angles, so are drawn perpendicular to the vertex.

This means point T is the orthocenter.

The answer is A

Consider the following function. F(x)=3/2+4 Using the given function, plot all the ordered pairs for the values in the domain below. (-8,-4,-2,0,2,4)

Answers

Answer:

zephyr

Step-by-step explanation:

ez i am god of thunder

The outside of this set of four cubic blocks with no space between blocks is painted. What is the number of painted square faces?

Answers

Answer:

18

Step-by-step explanation:

There would be four faces on the top, left, bottom, and right.  That equals 16.  (4x4)

There would also 1 on each end, so you have to add 2.  That equal 18.

This is assuming you paint the faces on the bottom.  If you didn’t, the answer would be 14.  (But it doesn’t say not to paint them.)

The operation symbol and the exponent are missing in the equation shown below.
7,320
10
0.07320
Which operation symbol and exponent should go in the boxes to make the
equation true?

Answers

Answer:

The operating symbol is divide (/) and the exponent is 5

[tex]7,320 / \ 10^5 = 0.07320[/tex]

Step-by-step explanation:

Given

[tex]7,320 \ \_\ 10^{\_} = 0.07320[/tex]

Required

Fill in the gap

[tex]7,320 \ \_\ 10^{\_} = 0.07320[/tex]

Multiply the right hand side by 1

[tex]7,320 \ \_\ 10^{\_} = 0.07320 * 1[/tex]

Express 1 as 100000/100000 because 100000/100000 = 1

[tex]7,320 \ \_\ 10^{\_} = 0.07320 * \frac{100000}{100000}[/tex]

Split the fraction

[tex]7,320 \ \_\ 10^{\_} = 0.07320 * 100000 * \frac{1}{100000}[/tex]

Multiply 0.7320 and 10000

[tex]7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{100000}[/tex]

Express [tex]\frac{1}{100000}[/tex] as an exponent

[tex]7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{10^5}[/tex]

Change the * sign to /

[tex]7,320 \ \_\ 10^{\_} = 7,320 / \frac{10^5}{1}[/tex]

[tex]7,320 \ \_\ 10^{\_} = 7,320 / \ 10^5[/tex]

Compare the expression on the right hand side with the left hand side base on the order of appearance;

[tex]7,320 = 7,320[/tex]

[tex]The first\ \ _ = \ /[/tex]

[tex]10 = 10[/tex]

[tex]The second\ \_ = 5[/tex]

Hence, the operating symbol is / and the exponent is 5

HELP ME THE ANSWER IS NOT 36 OR 12 DO THE RSM ANSWER!!! Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?

Answers

Answer:

$252

Step-by-step explanation:

Let the initial amount of money Ami, Jan and Toy have initially be A, J and T respectively.

Please see attached picture for full solution.

Answer:

$252

Step-by-step explanation:

Step 1

Toy has $36 and gets $36 from Ami. Now he has $36*2= $72

Step 2

Toy gets $72 from Jan to double his money and now has $72*2= $144

Step 3

Toy gives enough money to Ami and Jan to double their money

Toy has $36 at the end, so he has given $144 - $36= $108 to Ami and Jan

Since he doubles their money by giving $108, they now have

$108*2= $216

Now we add the amount Toy has at the end to the amount Ami and Jan have at the end to get final amount:

$216+$36= $252So the friends have $252

The interior ages of a triangle have measure
55,25", and x find the value of
these 3 problems ty

Answers

Answer:

See below in bold.

Step-by-step explanation:

1. The 3 angles in a triangle add up to 180 degrees.

So x = 180 - (55 + 25)

= 180 - 80

= 100 degrees.

2.  The 4 angles in a quadrilateral add up to 360 degrees,, so

3x + 127 + 54 + 119 = 360

3x + 300 = 360

3x = 360 - 300

3x = 60

x = 20 degrees.

3. Exterior angle

= 94 + 42

= 136 degrees.

Answer:
100 degrees just think about how all the angles in a triangle add up to 180 degrees

7 movie tickets cost $35
Unit rate

Answers

Answer:

$5 per ticket

Step-by-step explanation:

If you put it into a ratio of movie tickets to cost it will be 7 : 35

When you simplify it the ration will be 1 : 5

Answer:

$5 per ticket . # Unit rate.

Step-by-step explanation:

7 tickets costs =$35

therefore, 1 ticket cost = $35÷ 7

= $5

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Sperling Company's master budget shows expected sales of 10,000 units and expected production of 11,000 units for the month of March. Each unit requires 1/2 hour of direct labor. The direct labor rate is $15.00 per hour. Calculate the expected total direct labor cost fo India and Pakistan have long disputed which country should have control over Kashmir because ? Plz help mw 8 am so dumb lol #Write a function called "in_parentheses" that accepts a #single argument, a string representing a sentence that #contains some words in parentheses. Your function should #return the contents of the parentheses. # #For example: # # in_parentheses("This is a sentence (words!)") -> "words!" # #If no text appears in parentheses, return an empty string. #Note that there are several edge cases introduced by this: #all of the following function calls would return an empty #string: # # in_parentheses("No parentheses") # in_parentheses("Open ( only") # in_parentheses("Closed ) only") # in_parentheses("Closed ) before ( open") # #You may assume, however, that there will not be multiple #open or closed parentheses. #Write your function here! def in_parentheses(a_string): import re regex = re.compile(".*?\((.*?)\)") result = re.findall(regex, a_string) return(result) #Below are some lines of code that will test your function. #You can change the value of the variable(s) to test your #function with different inputs. # #If your function works correctly, this will originally #print (including the blank lines): #words! # #as he is doing right now # # #! print(in_parentheses("This is a sentence (words!).")) print(in_parentheses("No parentheses here!")) print(in_parentheses("David tends to use parentheses a lot (as he is doing right now). It tends to be quite annoying.")) print(in_parentheses("Open ( only")) print(in_parentheses("Closed ) only")) print(in_parentheses("Closed ) before ( open")) print(in_parentheses("That's a lot of test cases(!)")) parts of the middle east have a mediterranean climate. this means they have hot, dry summers and warm, ____ winters what word completes the sentence The diversity committee at State U. is a long-standing committee with a stable membership. During the first meeting of the year, Sam, a relatively new member of the group, asks, "What are the plans for fall orientation?" Given that the group has a high-context culture, which of the following is the most likely response to Sam's question?a) We will have a special meeting at the end of the month to brainstorm ideas. We will appoint a subcommittee to draw up a schedule and deadlines for tasks, and proceed from that schedule.b) We will probably do the same thing we did last year.c) We will need to consult with the students who will be involved to get their input before we proceed. Then we can work on making a schedule and setting deadlines.d) That is the next thing on our agenda. Let's get busy deciding on a schedule, activities, and deadlines. Can someone help me with this one too John's lyrics are somewhat autobiographical and introspective on this '65 song that features brilliant harmonies throughout and lyrics that offer help to the forlorn listener. It is... Which two statements best describes the purpose of the passage ? please Evaluate ( 8/3) to the 2 power A). 8/9 B). 64/9 C). 64/3 D). 55 Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD? Which of the following was true when Truman met Stalin in Potsdam in 1945? A.Their two nations were already enemies The war in the Pacific was still being fought. Britain had decided not to join them. World War II had ended. Please Help asap!!! Please give explanation If the price of biscuit per packet increased from N250 to N500 and the quantity bought per week decreased from 300 to 200 packets, determine the elasticity of demand for biscuit. Please answer this correctly without making mistakes What is the slope of the line passing through the points (6,7) and (1,5) An education researcher claims that 58% of college students work year-round. In a random sample of 400 college students, 232 say they work year-round. At alphaequals0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. It is a well-known fact that Dr. Barnes rides a skateboard, sometimes even on campus. Suppose that Dr. Barnes selects a skateboard by first picking one of two skateboard shops at random and selecting a skateboard from that shop at random. The first shop contains two "rad" skateboards and three "gnarly" skateboards, and the second shop contains four "rad" skateboards and one "gnarly" skateboard. What is the probability that Dr. Barnes picked a skateboard from the first shop if he has selected a "gnarly" skateboard? What the answer to the question If a circle has a diameter with endpoints of (-3, 0) and (5, 4) then the equation of the circle is?