A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
What is the probability of drawing a red marble out of the bag without looking?
10
CVO
-10
-ICV

Answers

Answer 1
Final answer:

The probability of drawing a red marble out of the bag without looking is 1/3.

Explanation:

The probability of drawing a red marble out of the bag without looking can be calculated by dividing the number of red marbles by the total number of marbles in the bag. In this case, there are 3 red marbles out of a total of 9 marbles, so the probability is 3/9, which simplifies to 1/3.


Related Questions

Find the value of x.
30
3. 4. 6. 8

Answers

Answer:

x=8

Step-by-step explanation:

BE=1/2(CD) (it's a theorem that you can find in Google)

So you get:

3x=24

x=8

Final answer:

The question lacks sufficient information to solve for x. An equation or context for x is needed to determine its value.

Explanation:

The question seems to lack sufficient information to provide an accurate solution. When asked to find the value of x, usually an equation or expression involving x is given. This question doesn't provide such an equation or a context for solving for x. It is possible that the information got cut off or may have been miss-transcribed. Please specify the given equation or problem involving x and I will be glad to help.

Learn more about Solving for x here:

https://brainly.com/question/32490578

#SPJ2


A class is made up of 12 boys and 13 girls. What fraction of the class is boys?

Answers

Answer:

12/25 of the class are boys.

Step-by-step explanation:

12+13=25

12/25

Answer:

12/25, I hope this helped!

Two angle measures in a triangle are 47° and 43°. What type of triangle is it?

acute
obtuse
right
isosceles

Answers

Answer:

It is a right angled triangle

Step-by-step explanation:

Since we know that the angles in a triangle always add up to 180°, we take 180°-47°-43° = 90°, a right angle is 90°, thus we know it is a right angled triangle.

Answer:

it is a right triangle

Step-by-step explanation:

16. Afla numărul necunoscut:
x + 7 = 36
X-9 = 83
X + (13- 8) = 74
a - (14 - 6) = 67
34 - X= 8
82 - x = 9
114​

Answers

Answer:

9

Step-by-step explanation:

4*7=28

zyz hope that helps

(i wont ask anymore after this)
How many solutions does each equation have? a) 7(2+5v)=3v+14 b) -3 (3-6b)=6b+5 c) 2 (a-2)=2a-4

Answers

Answer:

a) v = 0

b) b = 7 / 6

c) a = any number

Step-by-step explanation:

a)    7(2+5v)=3v+14

     7 x 2 + 7 x 5v = 3v + 14  .... distributive

     14 + 35v = 3v + 14

     35v - 3v = 14 - 14

      32v = 0

      v = 0 ...... only v value can fit  

b) -3 (3-6b)=6b+5

   -9 + 18b = 6b + 5

   18b - 6b = 5 + 9

   12b = 14

    b = 14 / 12 = 7 / 6

c) 2 (a-2)=2a-4

    2a - 4 = 2a - 4

    2a -4 + 4 = 2a -4 + 4

    2a = 2a

     a = a ........ a cab be any number

I need help !!!!!! Please

Answers

Answer:

See explanation

Step-by-step explanation:

         Statement                Reason

1. [tex]\angle M\cong \angle X[/tex]      - Given

2. [tex]\angle N\cong \angle Y[/tex]      - Given

3. [tex]\overline{YO}\cong \overline{NZ}[/tex]    -  Given

4. [tex]\overline{OZ}\cong \overline{OZ}[/tex]    -  Reflexive property

5. [tex]YO=ZN[/tex]     - Definition of congruent segments

6. [tex]YZ=YO+OZ[/tex]    - Segment addition postulate

7. [tex]ON=ZN+OZ[/tex]    - Segment addition postulate

8. [tex]YZ=ZN+OZ[/tex]     - Substitution property

9. [tex]YZ=ON[/tex]     - Substitution property

10. [tex]\triangle MNO\cong \triangle XYZ[/tex]     - AAS postulate

Answer:

What is your gram?

Step-by-step explanation:

A drawing is 12 inches long by 9 inches wide. If the new drawing is 8 inches long, how wide will it be?

Answers

If the first drawing is 12 inches long and 9 inches wide then the second one is 8 inches long and 5 inches wide because if you look closely first drawing is 12 inch by 9 inch 9 is three less than 12 so if the problem is 8 inch long 3 less than that is 5 inches so it would have to be 8 inches long by 5 inches wide

crackers contain 12 calories each and cookies contain 52 calories each. if you eat 5 crackers and 2 cookies how many calories have u consumed in all?

Answers

Answer:

You have consumed 164 calories in total

Step-by-step explanation:

12 calories × 5 crackers = 60 calories

52 calories × 2 cookies = 104 calories

104 + 60 = 164 calories in total

12 x 5 is 60
52 x 2 is 104
Now you just add the two

If James borrows $4,200 to pay his college tuition. He signs a 5 year simple interest loan. If monthly payments are $78.40, what is the interest rate on the loan?

Answers

Answer:

The rate of interest applied on the loan is 2.4%

Step-by-step explanation:

Given as :

The principal amount borrows as loan = p = $4200

The time period of loan = t = 5 years = 5 × 12 = 60 months

The monthly payment for loan = $78.40

So, The payment for 60 months = $78.40 × 60 = $4704

i.e Amount after 60 months = $4704

Let The rate of interest = r at simple interest

Now, From Simple Interest method

Simple interest = [tex]\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}[/tex]

Or, s.i = [tex]\dfrac{\textrm p\times \textrm r\times \textrm t}{100}[/tex]

Or, (Amount - principal) = [tex]\dfrac{\textrm p\times \textrm r\times \textrm t}{100}[/tex]

Or, $4704 - $4200 = [tex]\dfrac{\textrm 4200\times \textrm r\times \textrm 5}{100}[/tex]

Or,504 × 100 = 21,000 × r

∴, r = [tex]\dfrac{50400}{21000}[/tex]

i.e r = 2.4

So, The rate of interest = r = 2.4%

Hence, The rate of interest applied on the loan is 2.4% Answer

Quaker Oatmeal is a very popular breakfast cereal. If Susan wrapped the entire container without any overlapping paper, what is the minimum amount of paper she will need to wrap the entire container

11cm tall
with a width of 6cm

Answers

263.76 cm is the minimum amount of paper she will need to wrap the entire container.

Step-by-step explanation:

As we know that the equation for surface area of a cylinder,

Surface area of cylinder =  [tex]2\pi r^{2}+2 \pi r h[/tex]

Where,

r - the radius of the cylinder. Here given diameter (D) as 6. So,

          [tex]r=\frac{D}{2}=\frac{6}{2}=3 \mathrm{cm}[/tex]

h - the height of the cylinder (given as 11 cm). The value for pi = 3.14. Now, calculate the surface area of the cylinder as

                     [tex]A=2(3.14)(3)^{2}+2(3.14)(3)(11)[/tex]

                            A = 56.52+ 207.24 = 263.76 cm

What conclusion can you make based on the data/results you collect

Answers

Final answer:

To draw a conclusion from collected data, examine the hypothesis compared with the results observed. A careful analysis should lead to generalizations backed by evidence. Presenting and summarizing information thoroughly is vital for conclusions and future inquiries.

Explanation:

To draw a conclusion based on the data collected, one must first analyze the data carefully. For example, in an experiment assessing the number of deformed frogs in a non-polluted pond, the data should be compared to the initial hypothesis. If the data shows a significant number of deformed frogs in pristine conditions, this could imply other factors contributing to deformities besides pollution.

In language use among students, if the evidence suggests particular trends or patterns, you can make generalizations about these observations. If your findings are different from the initial answer in the 'Collect the Data' section, it might be due to various reasons such as experimental error or an incomplete hypothesis. When presenting your findings, it is critical to incorporate all the collected information which solidifies your conclusion.

Lastly, when summarizing information about a person's experience, it's necessary to incorporate all relevant data before settling on a conclusion. Afterward, forming a question for further research can open new avenues for exploration.

Sam saves 76 tickets every time he goes to the arcade. He needs a total of 4712 tickets to receive a stuffed bear for his girlfriend. So far, he has earned 456 tickets. How many more times will Sam have to go to the arcade to earn the additional points he needs?

Answers

Answer:

Sam has to 56 times more to the arcade to earn additional points he need.

Step-by-step explanation:

Given:

Number of tickets already earned = 456

Number of tickets saved each time visit at arcade = 76

Total Number of tickets required to buy Stuffed bear = 4712

We need to find number of times he need to go to arcade to earn the additional points.

Solution:

Let Number of times he need to visit arcade be 'x'.

Now we know;

Number of tickets already earned plus Number of tickets saved each time visit at arcade multiplied by Number of times he need to visit arcade equals to Total Number of tickets required.

Framing in equation form we get;

[tex]456+76x = 4712[/tex]

Now Solving the equation we get;

Subtracting both side by 456 we get;

[tex]456+76x=4712-456\\\\76x= 4256[/tex]

Now Dividing both side by 76 we get;

[tex]\frac{76x}{76} = \frac{4256}{76} \\\\x=56[/tex]

Hence, Sam has to 56 times more to the arcade to earn additional points he need.

Which is the same as 73?


CLEAR CHECK

A 7÷13

B 3÷7

C 17 of 3

D 7 divided by 3

Answers

Answer: Neither of them.

Step-by-step explanation: 7 divided by 3 is 2.3. So that's not right.

3 divided by 7 is 0.42. Also incorrect. 17 of 3? What does that mean? 17 percent of 3? I'm not sure but that's not the answer either be cause 17% or 3 is not 73. None of these choices are correct nor do they make sense.

Answer:

D) 7 divided by 3

Step-by-step explanation:

Simpliftly(-8.5)(-5)( -2)

how do i simplify it​

Answers

Answer:

-85

Step-by-step explanation:

(-8.5)(-5)(-2)

Multiply

(42.5)(-2)

-85

Hope this helps :)

Plz help: You have asked your parents if you can have some money to decorate your bedroom for Christmas. You want to put up a little Christmas tree and some ornaments and some lights. They give you $10. You go to the store and find an incredible deal. You buy a tiny fake tree, some lights and a box of ornaments. You pay with the 10$ your parents gave you and the cashier gives you back three bills of the same denomination and two coins in change. (you receive no dollar coins and no half-dollars). How much did you spend? There are 10 possible answers

1. amount spent:____________ Change given (bills/coins):_________

Answers

Answer: ALL THE AMOUNT SPEND ARE 3 1$ bills

1. Amount spent: 6.98

Change:  2- penny

2. Amount Spent: 6.94

Change:   Penny  Nickel

3. Amount Spent: 6.9

Change: 2 Nickels

4. Amount Spent: 6.89

Change: Penny, Dime

5. Amount Spent: 6.85

Change: Nickel Dime

6. Amount Spent: 6.74

Change: Penny Quarter

7. Amount Spent: 6.50

Change: 2 Quarters

8. Amount Spent: 6.80

Change: Nickel Nickel

9. Amount Spent: 6.70

Change: Quarter Dime

10. Amount Spent: 6.65

Change: Quarter Nickel

Step-by-step explanation:

Pweeeese gimme brainliest answer

Final answer:

To find out how much you spent, subtract the change given from the amount your parents gave you.

Explanation:

To find out how much you spent, you need to subtract the change given from the amount your parents gave you. Since the cashier gave you three bills and two coins as change, the total value of the change given is equal to the amount you spent. Since you received no dollar coins and no half-dollars, the change given consists of only bills and coins of smaller denominations. Therefore, the amount you spent is equal to the value of the change given.

At a zoo, youth tickets cost $5 and adult tickets cost $9. A group that purchased x youth tickets and y adult tickets spent $90 on tickets.

What is the domain of the relationship?

A.
x ≤ 5
B.
0 ≤ x ≤ 5
C.
0 ≤ x ≤ 18
D.
x ≤ 18

Answers

Answer:

Each person buys there own so there are elderly costs.

Step-by-step explanation:

A.

x ≤ 5

B.

0 ≤ x ≤ 5

C.

0 ≤ x ≤ 18

D.

x ≤ 18

Answer:

The answer is option C.

0 <= x <= 18

Step-by-step explanation:

To find the domain of the relationship in respect to x, we need to find the value of x.

Since;

youth tickets = $5 and

Adult tickets = $9.

Purchased x youth tickets and y adult tickets cost $90

Purchased x youth tickets and y adult tickets = 5x + 9y = 90

5x = 90 - 9y

to find x we divide both side by 5

x = (90-9y)/5

x = 90/5 - 9y/5

x = 18 - 9y/5

Note that in this equation x and y can only be positive value because that are representing number of legible item (ticket)

Therefore:

X can only fall between 0 and 18.

0 <= x <= 18

15 points!! Please help! please explain how you got you answers

Answers

We observe that a line will pass through 3 points, but to find a slope we only need two.

We see that it passes through points (assuming the scale of graph is 1 : 1) [tex]P_1(x_1,y_1)=P_1(0,1)[/tex] and [tex]P_2(x_2,y_2)=P_2(2,-1)[/tex].

We can use slope formula that applies for any line and produce the same slope for any two different points on the line

[tex]m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-1}{2-0}=-1[/tex]

So the slope is -1 also it intersects y-axis at [tex]n=1[/tex] so the general form of the linear function is

[tex]f(x)=mx+n[/tex]

That is in your case

[tex]\boxed{f(x)=-x+1}[/tex]

Hope this helps.

Each end of a glass prism is a triangle with a height that is 1 inch shorter than twice the base. If the area of the triangle is 60 square inches, how long are the base and height?

Answers

Answer:

Step-by-step explanation:

Let the base = x inches

So, h = 2x - 1

Area of triangle  = 60 square inches

(1/2) * base *height = 60

(1/2) * x * (2x-1) = 60

x *(2x-1) = 60*2

2x² - x = 120

2x² - x - 120 = 0

2x²  - 16x + 15x - 15*8 = 0

2x ( x - 8) + 15 (x -8) = 0

(x-8) (2x + 15 ) = 0

x- 8 = 0      {ignore 2x +1 as it will give negative value}

x = 8

Base = 8 inches

Height = 2*8 - 1 16 - 1 = 15 inches

what is y=-4/3x+2 in point slope form?

Answers

Answer:

[tex]y-2=-\frac{4}{3}(x-0)[/tex]

Step-by-step explanation:

we know that

The equation of the line in point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]y=-\frac{4}{3}x+2[/tex] ---> equation in slope intercept form

so

Convert to point slope form

subtract 2 both sides

[tex]y-2=-\frac{4}{3}x[/tex]

Rewrite as

[tex]y-2=-\frac{4}{3}(x-0)[/tex]

the slope is [tex]m=-\frac{4}{3}[/tex]

the point is [tex](0,2)[/tex]

3a²b ÷ 2ab what is the result ?​

Answers

Answer:3/2a

Step-by-step explanation:

Answer:

3 a /2

Step-by-step explanation:

3 a² b ÷ 2 a b

3 a / 2

The function A(b) relates the area of a trapezoid with a given height of 12 and
one base length of 9 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
A(b) = 12.579
Which equation below represents the inverse function B(a), which takes the
trapezoid's area as input and returns as output the length of the othef base?

Answers

Answer:

[tex]B(a)=\frac{a}{6}-9[/tex]

Step-by-step explanation:

see the attached figure , to better understand the problem

we have

[tex]A(b)=12(\frac{b+9}{2})[/tex]

where

A(b) ---> is the trapezoid's area

b ---> is the other base value

Solve the equation for b

That means ----> isolate the variable b

Divide 12 by 2 right side

[tex]A=6(b+9)[/tex]

Divide by 6 both sides

[tex]\frac{A}{6}=b+9[/tex]

subtract 9 both sides

[tex]\frac{A}{6}-9=b[/tex]

Rewrite

[tex]b=\frac{A}{6}-9[/tex]

Convert to function notation

[tex]B(a)=\frac{a}{6}-9[/tex]

Final answer:

The inverse function for the area of a trapezoid with one base of 9 and height of 12 is B(a) = a/6 - 9, which gives the length of the other base when provided with the area of the trapezoid.

Explanation:

The question revolves around finding the inverse function for the function that represents the area of a trapezoid. Given the area function A(b) = 12.579 for a trapezoid with a height of 12 and one base of length 9, we seek the function B(a) which provides the length of the other base when given the trapezoid's area. To derive this, recall that the area of a trapezoid with bases b and c and height h is given by A = (1/2)(b+c)h. Here, b is 9 and h is 12. Hence, A(b) = (1/2)(9+b)(12) = (9+b)(6).

To find B(a), we express b in terms of A: (9+b)(6) = A → b = A/6 - 9. The inverse function is B(a) = a/6 - 9.

what is two hundred and eighteen divided by thurty one​

Answers

Hi there! In this problem, two hundred and eighteen divided by thirty one would be 7.032258064516129‬. Like this:

   281 / 31 = 7.032258064516129‬

Hope this answers your question!

(P.S. I could really use Brainliest.....)

Answer:

200+18÷31=200.58062452

200÷31=6.451612903

18÷31=0.5806451613




please help 10 point + brainlyiest = one big thank u
which of these is the algebraic expression for "five more than the product of ten and some number?
10 + 5x
5 + 10 + x
10x + 5
5 + 10 ÷ x

Answers

10x+5 is the awnser I think

Use the net to find the surface area of the square pyramid.
A) 95 ft2
B) 130 ft2
C) 205 ft2
D) 333 ft2

Answers

Answer: D

Step-by-step explanation:

9x9=81 (base)

(14x9) divided by 2= 63 (one triangular face)

63x4=252 (all triangular faces)

81+252= 333ft2

Answer:

the answer is D, i know i am right.

Step-by-step explanation:

Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of the fall. She withdraws $100 a week for living expenses. Write an inequality for the number of weeks Amy can withdraw money, and solve.
A) 1000 - 100w ≤ 500; w ≥ 6
B) 1000 + 100w ≤ 500; w ≤ 5
C) 1000 + 100w ≥ 500; w ≥ 6
D) 1000 - 100w ≥ 500; w ≤ 5

Answers

Answer:

D. [tex]1000 - 100w \geq 500; w \leq 5[/tex]

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks = [tex]\textrm{Money withdrawn each week}\times w[/tex]

Total Money withdrawn in 'w' weeks = [tex]100w[/tex]

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount = [tex]1000 - 100w[/tex]

Now, final amount must be greater than or equal to $500. So,

[tex]\textrm{Final amount}\geq500\\\\1000-100w\geq500[/tex]

Therefore, the  inequality that represents the inequality for the number of weeks Amy can withdraw money is:

[tex]1000-100w\geq500[/tex]

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

[tex]1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5[/tex]

Therefore, the correct option is (D).

What is the General form of the parabola of (y-3)^2=6(x+8)

Answers

Answer:

x = 1.5[tex]t^{2}[/tex]  , y = 3 + 2at.

Step-by-step explanation:

For the parabola [tex]Y^{2}[/tex] = 4aX ,

General form will be

(X = a[tex]t^{2}[/tex] , Y = 2at) ,

Thus , for the parabola [tex](y-3)^{2}[/tex] = 6(x +8)

Here , a = 1.5 and Y from the above equation should be substituted by y - 3 and X must be substituted by x + 8. After substitution of the same we can  use the general equation formula for this parabola also.

Thus , general equation comes out to be :-

x + 8 = 1.5[tex]t^{2}[/tex] , y - 3 = 2at

x = 1.5[tex]t^{2}[/tex]  , y = 3 + 2at.

Which statement is correct? The range of the graph is all real numbers less than or equal to 0. The domain of the graph is all real numbers less than or equal to 0. The domain and range of the graph are the same. The range of the graph is all real numbers.

Answers

Answer:

Option B on edge 2020 guys

Step-by-step explanation:

:)

Which of the following shows the expression in factored form x2 + 2x - 8

A) (x-2)(x+4)
B) (x+2)(x+4)
C) (x-2)(x+8)
D) (x+1)(x-8)

Answers

Answer:

A) (x-2)(x+4)

Step-by-step explanation:

A college bookstore charges $60 for a yearly membership. The first book is free with membership and any book after that costs $7.60 including tax. How much money, m, does a student spend after buying b books and a yearly membership.

Answers

Answer:

The equation representing Total money spend being as a member is [tex]m = 60+7.6(b-1)[/tex]

Step-by-step explanation:

Given:

Memberships charges = $60

Cost of 1 book = $7.60

Let number of books be 'b'.

We need to find Total money 'm' spend yearly on buying books after becoming member.

Now we know that 1 book is free for a member.

Total money spend 'm' will be equal to Sum Memberships charges  and Cost of 1 book multiplied by number of books bought yearly minus 1.

Framing in equation form we get;

[tex]m = 60+7.6(b-1)[/tex]

Hence The equation representing Total money spend being as a member is [tex]m = 60+7.6(b-1)[/tex]

Therefore, the final expression for the total cost [tex]\( m \)[/tex] as a function of the number of booksx [tex]\( m \)[/tex] is:

[tex]\[ \boxed{m = \frac{262 + 38b}{5}} \][/tex]

The total cost \( m \) that a student spends after buying \( b \) books and a yearly membership can be calculated using the following formula:

[tex]\[ m = \text{Cost of membership} + (\text{Number of books} - 1) \times \text{Cost per book} \][/tex]

Given that the yearly membership costs $60 and each book after the first free book costs $7.60, we can substitute these values into the formula:

[tex]\[ m = \$60 + (b - 1) \times \$7.60 \][/tex]

Now, let's simplify the expression by converting $7.60 to a fraction to avoid decimals in our calculation:

[tex]\[ m = \$60 + (b - 1) \times \frac{760}{100} \][/tex]

[tex]\[ m = \$60 + (b - 1) \times \frac{38}{5} \][/tex]

[tex]\[ m = \$60 + \frac{38b - 38}{5} \][/tex]

To combine the terms, we need a common denominator, which is 5:

[tex]\[ m = \frac{\$60 \times 5}{5} + \frac{38b - 38}{5} \][/tex]

[tex]\[ m = \frac{300}{5} + \frac{38b - 38}{5} \][/tex]

[tex]\[ m = \frac{300 + 38b - 38}{5} \][/tex]

[tex]\[ m = \frac{262 + 38b}{5} \][/tex]

Multiplying (-9)(-6)(2)=

Answers

Answer:

108

Step-by-step explanation:

Other Questions
Which level of Kohlbergs Stages of Moral Development is described as being based in universal principles? Which of the following items are added to government-wide financial statements through worksheet journal entries? A. General Capital Assets B. General Long Term DebtC. Internal Service Funds servicing governmental departments D. All of the above E. None of the above Government can reallocate resources of an economy through taxes, ________ payments, and by providing direct services..A. illegalB. transfer C. under-the-tableD. over-the-top explain 3 ways in which the human sperm cell is adapted to its function Jennie's car gets 32.4 miles per gallon on the highway. If her car's fuel tank holds 12.7 gallons, how far can she drive on one tank of gas? Acetylene (C2H2) has a tendency to lose two protons (H1) and form the carbide ion (C2 22), which is present in a number of ionic compounds, such as CaC2 and MgC2. Describe the bonding scheme in the C2 22 ion in terms of molecular orbital theory. Compare the bond order in C2 22 with that in C2. "Enriching Women's Lives" is a three-word mantra that is used by Mary Kay. This is an example of which of the following characteristics of good mission statements? Group of answer choices 1. It defines the major competitive spheres in which the company will operate.2. It is focused on a limited number of goals. 3. It takes a long-term view. 4. It stresses the company's major policies and values. 5. It is short, memorable, and meaningful. What is the leaf of a plants function ? All 231 students in the Math Club went on a field trip. Some students rode in vans which hold 7 students and some students rode in buses which hold 25 students each. How many of each type of vehicle did they use if there were 15 vehicles in total? In the rectangular coordinate system, points (4,0) and (4,0) both lie on circle C. What is the maximum possible value of the radius of C ? A(n) ________ occurs when an authorized federal employee signs a document that legally binds the Government to a future expenditure; a(n) _____________ occurs when the Government check is cashed and money is withdrawn from the Treasury.a. Obligation; outlayb. Expenditure; obligationc. Commitment; obligation A bank with branches located in a commercial district of a city and in a residential district has the businessobjective of developing an improved process for serving customers during the noon-to-1 P.M. lunchperiod. Management decides to first study the waiting time in the current process. The waiting time isdefined as the time that elapses from when the customer enters the line until he or she reaches the tellerwindow. Data are collected from a random sample of 15 customers at each branch.The following is the data sample of the wait times, in minutes, from the commercial district branch.4.14 5.66 3.04 5.34 4.82 2.69 3.32 3.414.42 6.01 0.15 5.11 6.59 6.43 3.72The following is the data sample of the wait times, in minutes, from the residential district branch.9.99 5.89 8.06 5.91 8.64 3.77 8.21 8.5210.46 6.87 5.53 4.23 6.25 9.88 5.59Determine the test statistic. 2. What was the war like on the Western Front? standard form Ax+By=Cx-3y=-6 7. Do you possess excellent organizational and interpersonal skills with the ability to coordinate and interact with clients and customers. About 20 percent of all children have difficulties that could be connected to behavioral teratogens.True / False. Richard and Alice are divorced and under the terms of their written divorce agreement signed on December 30, 2011, Richard was required to pay Alice $1,500 per month of which $600 was designated as child support. He made 12 such payments in 2018. Additionally, Richard voluntarily paid Alice $1,200 per month for 12 months of 2018, no portion of which was designated as child support. Assuming that Alice has no other income, her tax return for 2018 should show gross income of:_________. Be able to put the following events in Chronological Order.French & Indian WarKing Philip's warQueen Anne's WarPlymouth ColonyRoanoke ColonyYorktownLexington & ConcordJamestownShay's RebellionUS ConstitutionDeclaration of IndependenceFrench AllianceKing William's WarKing George's WarStamp actTreaty of Paris (1783)Treaty Of Paris (1763) You are considering the purchase of real estate that will provide perpetual income that should average $65,000 per year. How much will you pay for the property if you believe its market risk is the same as the market portfolios? The T-bill rate is 5%, and the expected market return is 8.0%. Describe two products that you use or see in your daily life that need special waste management when they are finished being used and can't be placed in regular garbage, recycling, or composting bins where you live. Explain what types of waste disposal technologies are required for each product. Steam Workshop Downloader