OMG I HAVE ONLY TODAY TO SUBMIT THIS AND I REALLY NEED HELP!! PLEASE

OMG I HAVE ONLY TODAY TO SUBMIT THIS AND I REALLY NEED HELP!! PLEASE

Answers

Answer 1

Answer:

The constant of proportionality is 2.5. The equation that represents this proportional relationship is y=2.5x.

Step-by-step explanation:

to find the constant of proportionality -> for every time x goes up, what does y go up by? when x goes up by 2, y goes up by 5. difference of y/difference of x = 5/2 =2.5.

to find the equation -> y=?x. plug in the constant of proportionality in the question mark. so, y=2.5x.


Related Questions

A wide receiver catches a ball and begins to run for the endzone following a path defined by (x-5, y-50) = t(0,10). A defensive player chases the receiver as soon as he starts running following a path defined by (x-10, y-54) = t(-0. 9, -10. 72)


Write Parametric equations for the path of each player.

A. Receiver: x=50,y=5-10t

Defensive: x=10-0. 9t, y=54-10. 72


B. Receiver: x=5, y=50-10t

Defensive: x=10-0. 9t, y=54-10. 72t


C. Receiver: x=5, y=50-10t

Defensive: x=54-10. 72t, y=10-0. 9t


D. Receiver: x=10-0. 9t, y=54-10. 72t

Defensive: x=5, y=50-10t

Answers

The correct answer is B Parametric equations for the path of each player is Receiver: x=5, y=50-10t Defensive: x=10-0. 9t, y=54-10. 72t

The given paths of the receiver and defensive player can be described parametrically, using the parameter t, as:

Receiver: x = 5, y = 50 - 10t

Defensive: x = 10 - 0.9t, y = 54 - 10.72t

We can use the parameter t to represent the time that has elapsed since they started moving. The parametric equations describe the x and y coordinates of each player as functions of t.

By plugging in different values of t, we can determine the positions of the players at different points in time. In this case, the receiver moves horizontally while the defensive player moves at an angle, so their equations are different.

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Would a yardstick be a reeasonable tool to use to measure the length of a canoe paddle explain

Answers

In conclusion, a yardstick or ruler can be a reasonable tool to use to measure the length of a canoe paddle.

Then, move the yardstick along the length of the paddle, counting the marks until you reach the other end. This will give you an estimate of the length of the paddle in terms of the number of yardstick marks.
For a more precise measurement, you can also use a ruler. Place the zero mark of the ruler at the tip of the paddle and move the ruler along the length of the paddle, counting the small marks that correspond to 1/16th of an inch. This will give you a more precise estimate of the length of the paddle.

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In a class, we have 61 students of different majors. There are 23 chemistry majors (C), 12 math majors (M), 9 engineering majors (E), and 17 students who are undecided (U). Of these students, 4 of them have declared both math and engineering majors. A student will randomly be chosen to win a scholarship. Find the probability of awarding the scholarship to a student who is either a math major or an engineering major. 0.0290 0.7213 0.2787 0.3443

Answers

The probability of awarding the scholarship to a student who is either a math major or an engineering major is 0.2787 .Option (c) is the correct answer.

In this question, we are asked to find the probability of awarding the scholarship to a student who is either a math major or an engineering major. Total students (n) = 61 Chemistry majors (C) = 23 Math majors (M) = 12 Engineering majors (E) = 9 Undecided (U) = 17Students with declared majors in Math and Engineering (M ∩ E) = 4

We have to find P(A) = P(student is either a math major or an engineering major).To solve this problem, we will use the addition rule of probability. The addition rule states that the probability of event A or B occurring equals the probability of event A plus the probability of event B minus the probability of both A and B occurring. P(A) = P(M ∪ E) = P(M) + P(E) - P(M ∩ E)

Here, P(M) = probability that the student is a math major= number of math majors / total students = 12/61 P(E) = probability that the student is an engineering major= number of engineering majors / total students = 9/61 P(M ∩ E) = probability that the student has declared both math and engineering majors = 4/61So,P(A) = P(M ∪ E) = P(M) + P(E) - P(M ∩ E)P(A) = 12/61 + 9/61 - 4/61= 17/61≈ 0.2787

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Calculate the perimeter of the following.

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Perimeter is 48cm …….

The Scale Used in a Map is 2 : 10,000. Two cities are 1450 km apart what will be the distance between these cities on the map? (Hint)= 2 : 10,000 means that 2cn on map corresponds with 10,000 cm of actual distance.​

Answers

Answer:

3.44827586

Step-by-step explanation:

1450:10,000::x:2

=10,000x=2900

x= 10,000

----------

2900

x=3.44827586 km

Which statements must be true? Check all that apply.

A'A = C'C
C'Q = QC
Line P T⊥ A'A
C'C ⊥ B'B
A'A || B'B
m∠TRB = 90°

Answers

The true statements based on the shape in the given image are:

C'Q = QCLine P T⊥ A'AA'A || B'Bm∠TRB = 90°

What is the Reflection of Triangles?

The result of flipping a triangle on a coordinate system based on a line of reflection is a figure known as a triangle reflection.

Let's say we wish to mirror the triangle A B C over the -axis or the line. The image that results from reflecting the triangle, if A B C is the pre-image, is A ′ B ′ C ′. When using triangle reflections, the final image will keep the triangle's shape.

With this explanation in mind and from the image provided, C'Q = QC because they are parallel to each other.

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using two water heaters as the inspection unit, calculate the center line and control limits that are consistent with the past 22 days of inspection data. (c) what is the probability of type i error for the control chart in part (b)?

Answers

The probability is 0.05.

When using two water heaters as the inspection unit, the center line and control limits consistent with the past 22 days of inspection data are calculated as follows:

Center line (CL) = (X1 + X2)/2

Upper control limit (UCL) = CL + 3 * s/2

Lower control limit (LCL) = CL - 3 * s/2

Where X1 and X2 are the means of the two water heaters, and

s is the standard deviation of the sample data.

The probability of type I error for the control chart in part (b) is typically set at 0.05,

meaning that there is a 5% chance of rejecting the null hypothesis when it is actually true.

Complete question:

When using two water heaters as the inspection unit, (b) calculate the center line and control limits that are consistent with the past 22 days of inspection data. (c) what is the probability of type i error for the control chart in part (b)?

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The computer lab at school has a new computer system. The system had a total cost of $1895. There is a special printer that can be added to the system. The printer can be purchased separately for $649. Write an equation and solve to determine the cost of the system with the printer.

Answers

Answer:

meaning the computer is $1246

Step-by-step explanation:

$1895-$649=$1246

Which two statements are true???????

Answers

The statements that is true is option C FG ⊥ HB and FG ║ DE, that is FG is perpendicular to HB and parallel to DE.

What are perpendicular and parallel lines?

Geometry's use of parallel and perpendicular lines is crucial, and their distinctive qualities make it simple to distinguish between them. If two lines are in the same plane, are spaced equally apart, and never cross one another, they are said to be parallel. Perpendicular lines are those that cross at an angle of 90 degrees. Two straight lines are said to be parallel if they are located in the same plane and never cross one another. On the other hand, two lines are said to be perpendicular when they cross each other at a 90° angle.

From the given figure we observe that, the angle between the segments FG and HB is 90 degrees thus,

FG ⊥ HB.

Also, DE ⊥ HB, thus the segments FG ║ DE.

Hence, the statements that is true is option C FG ⊥ HB and FG ║ DE, that is FG is perpendicular to HB and parallel to DE.

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Please help me somebody

Answers

The surface area of the cone is 1,966.896 mm²

How to find the surface area of the cone?

We can see that the surface area of a cone of slant height H and radius R is:

SA = pi*R² + pi*R*H

Here we can see that R = 27mm/2 = 13.5mm

And H = 32.9 mm

And we know that pi = 3.14

So, replacing that we will get:

SA = 3.14*(13.5mm)²  + 3.14*13.5mm*32.9mm

SA = 1,966.896 mm²

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Plsss help meeeeeeeereeeee

Answers

Answer: 61 degrees

Step-by-step explanation:

just trust me

Answer:

You must know the value of x

fill the area for each of the composite shapes below

Answers

Step-by-step explanation:

1) 12×5=60

8×4=32

32÷2=16

60+16=82

2) 12×14=168

10×2=20

20÷2= 10

168+10+10=188

3) 4×4= 16

4×11=44

4×5=20

16+44+20=80

4) 8×4=32

3×3= 9

9÷2= 4.5

32+4.5=36.5

Pls help question in photo

Answers

Therefore , the solution of the given problem of expressions comes out to be 3x³ - 8x²+ 2x + 3 is the abbreviated expression in standard form.

Expression : What is it?

With shifting variables, estimates that mix joining, deactivating, and random division should be made. They could accomplish the following if they united: A math problem, some facts, and software. Formulas, parts, and arithmetic operations like additions, subtractions, omissions, and groupings can all be found in a declaration of truth. Both words and sentences can be evaluated and analysed.

Here,

The distributive property of multiplication must be used to multiply the two factors jointly in order to simplify the expression:

=> (x-1)(3x²-5x-3) = x(3x²) - x(5x) - x(3) - 1(3x²) + 1(5x) + 1 (3)

Condensing each term:

=> 3x³ - 5x²- 3x - 3x² + 5x + 3

=> 3x³ - 8x²+ 2x + 3

Therefore, 3x³ - 8x²+ 2x + 3 is the abbreviated expression in standard form.

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SOMEBODY HELP ME OUT​

Answers

Answer:

Below

Step-by-step explanation:

Area of a triangle = 1/2  base * height

  this triangle has base = 4 ( 3 in) = 12 in    and height = 3 (3 in) = 9 in

 area = 1/2 * 12 * 9 = 54 in^2

54 in^2 *  $ 2.75 /in^2 = $ 148.50

If the window is scaled down by .5 then the dimensions would be

  base = 6 in   height = 4.5 in

    area = 1/2 * 6 * 4.5 = 13.5 in^2

      cost would be    13.5 in^2   *  $ 2.75/in^2  =~ $37.13

Five friends went to an amusement park. The group wanted to calculate the total cost, so Kathie wrote the expression 5x + 70. Each of her friends wrote expressions, too.



Determine which friends' expressions are equivalent to Kathie's. Show or explain your reasoning.



Kathie: 5x+70



Stephanie: 3(x+30)+2x−20



Jon: 3x+30+2x−20



Mary: 5(x+14)



Nicole: 3(x+30−20)+2x

Answers

Answer:

Stephanie Mary and Nicole

Step-by-step explanation:

Please ASAP Help
Will mark brainlest due at 12:00​

Answers

Answer:

the midpoint is at -8

Step-by-step explanation:

Write a system of equations to represent the number of each type of basket Jake scored. Explain your thinking.

Answers

The system of equations that represents the number of each type of basket Jake scored is  given by:

x  + y = 13

2x +  3y = 28

What is a system of equations?

A system of equations is   when two or more variables are related, and equations are built to find   the values of each variable.

In this problem,   the variables are:

Variable x: Number of  2-point shots.

Variable y: Number of 3-point shots.

Jake scored 28 points in his   basketball game   by shooting only 2-point and 3-point   shots, hence:

2x  +  3y = 28.

He scored a total   of 13 baskets, hence:

x  + y  = 13.

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Answer for this please!

Answers

Step-by-step explanation:

See image below

(6-y) (6-y)=0
Solve.

Answers

Answer:

6

Step-by-step explanation:

y is 6..

The sales tax on a $44.00 purchase is $2.42. At this rate, what would be the tax on goods worth $60.00?

Answers

Answer:

We can use proportions to find out the tax on goods worth $60.00:

Let x be the tax on goods worth $60.00.

Then, we can set up the following proportion:

tax/sales = tax rate

or

2.42/44 = x/60

To solve for x, we can cross-multiply and simplify:

44x = 2.42 * 60

44x = 145.20

x = 145.20/44

x = 3.3 (rounded to the nearest cent)

Therefore, the tax on goods worth $60.00 would be $3.30.

Step-by-step explanation:

Manny walked around a basketball court the court is 27 m long and 17 m wide what is the perimeter A. G, O. N, S. A. Grade 4 pls help

Answers

A basketball court takes the shape of a rectangle and the perimeter of a rectangle is =88m

The area encircling a two-dimensional figure is known as its perimeter. Whether it is a triangle, square, rectangle, or circle, it specifies the length of the shape. The two primary characteristics of a 2D shape are area and perimeter.

Each form has a different perimeter depending on its measurements. The perimeter is only ever stated as the circle's diameter when referring to a circle. So we must add all of the sides of each polygon to determine its perimeter, which is the same for all polygons.

A basketball court takes the shape of a rectangle and the perimeter of a rectangle is calculated by the formula:

= Length + Length + Width + Width

Slotting the figures in will give:

= 27 + 27 + 17 + 17

= 88 m

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Find x.
Please help, and thank you!

Answers

Answer: 42

Step-by-step explanation:

We start by looking at the 49 degree angle. A common method of solving geometric problems is to bring things together. To follow this concept, we can say that the 49 degree angle has a vertical angle inside the triangle, which means that angle is 49 degrees. We now work with the 91 degree angle. We can see the 91 degree angle falls on a line, so the other side of the angle equals 180-91=89. All angles in a triangle add up to 180 degrees, so x + 49 + 89 = 180, so x=180 - 138 = 42.

20 POINTS
Given: CD is an altitude of ΔABC
Prove:

[edAsset type="image" caption="" figure="false" alt="" class="block-center img-responsive " /edAsset]In an Image of a Triangle ACB with b is the length between AC, a is the length between CB and c is the base length between AB. D is a point between AB at the Right angle forming DCB

Proof:
Statements Reasons
1. CD is an altitude of ΔABC. Given
2. ∠ADC and ∠BDC are right angles. Definition of altitude
3. ΔADC and ΔBCD are right triangles. Definition of right triangles
4.
Definition of sine
5. ? Multiplication property of equality
6. b sin(A) = a sin(b) Substitution property of equality
7.
Division property of equality

Which statement completes this proof?

A.
CD = b sin(B) and CD = a sin(A)
B.
b = CD sin(A) and a = CD sin(B)
C.
CD = b sin(A) and CD = a sin(B)
D.
b = CD sin(B) and a = CD sin(A)

Answers

In the triangle , the cοrrect οptiοn is  B) b = CD sin(A) and a = CD sin(B).

What is triangle?

A triangle is a fοrm οf pοlygοn with three sides; the intersectiοn οf the twο lοngest sides is knοwn as the triangle's vertex. There is an angle created between twο sides. One οf the crucial elements οf geοmetry is this.

Certain fundamental ideas, including the Pythagοrean theοrem and trigοnοmetry, rely οn the characteristics οf triangles. The angles and sides οf a triangle determine its kind.

Here the given triangle CD is altitude.

According to the given statement table , in 4th statement we have definition of sine , Then

=> Sin(A) = [tex]\frac{CD}{b}[/tex] and Sin(B) = [tex]\frac{CD}{a}[/tex]

Here simplifying this sine equation for a and b then,

=> b = CD sin(A) and a = CD sin(B).

Hence the correct option is B) b = CD sin(A) and a = CD sin(B).

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First, find the length of each edge of the cube one side is 3

Answers

It should be 3 because a cube she all equal sides
The length of each edge of a cube with side length 3 units is equal to 3 units, since all sides of a cube are congruent.

Therefore, the length of each edge of the cube is 3 units

when solving a word problem, Fiona got answer 2.05 yards. Her friend Marsha's answer was 41/2 yards. Their classmate Fredic got 20.5. What was the answer to the problem if two out of three fifth graders have the correct answer?

Answers

Answer:

2.05 yards, Fredic and Fioana's answers are in the same range.

Consider the following formulas.
a sin Bθ + b cos Bθ = a2 + b2 sin(Bθ + C), where C = arctan(b/a) and a > 0
a sin Bθ + b cos Bθ = a2 + b2 cos(Bθ − C), where C = arctan(a/b) and b > 0
Use the formulas given above to write the trigonometric expression in the form a sin Bθ + b cos Bθ.
11 cos (θ − π/ 4)

Answers

The trigonometric expression 11 cos (θ − π/4) in the form a sin Bθ + b cos Bθ is 11/√2 cos θ.

What is the trigonometric expression?

The write the  trigonometric expression in the required, we can start by using the second formula:

a sin Bθ + b cos Bθ = a^2 + b^2 cos(Bθ − C)

where;

C = arctan(a/b) and b > 0

Let a = 11 and b = 11/√2, and Bθ = θ − π/4.

Then C = arctan(a/b) = arctan(11/(11/√2)) = arctan(√2).

Substituting these values, we get:

11 cos (θ − π/4) = 11/√2 cos (θ − π/4 + arctan(√2))

= 11/√2 cos (θ - π/4 + π/4)

= 11/√2 cos θ

Thus, we have written the trigonometric expression 11 cos (θ − π/4) in the form a sin Bθ + b cos Bθ as 11/√2 cos θ.

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• F(x)=x3+2x2+5+10 factor

Answers

Answer:

F(x)=x^3+2x^2+15

Step-by-step explanation:

what do the slopes from part a and b tell you about the relationship between all points in the table

Answers

The slope of the line is 1. Two different points have the same slope.

What is tilt?

Rise or fall is a number or ratio that determines the direction or slope of the line. The slope of a straight line is the ratio of the slope of the straight line to the course of the straight line. The point is:

-XY

twenty-five

−2 1

0 3

-7 -4

The slope of a straight line is generally calculated using the formula:

slope = [tex](y_{2} - y_{1} ) / (x_{2} - x_{1} )[/tex]

Points (2, 5) and (-2, 1) of part (A).

Slope = [tex]( 1 - 5 ) / ( -2 - 2 )[/tex]

Slope = -4 / -4 = 1

Split (B) at the points ( 0, 3 ) and ( -7, - 4 ).

Slope = [tex]( -4 - 3 ) / ( -7 - 0 )[/tex]

Slope = -7 / -7 = 1

The slope of the line at two different points is the same. 

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Complete question is: A table with certain points is shown. x 2 −2 0 −7 y 5 1 3 −4 Part A: Choose two points from the table and calculate the slope between them. Show all necessary work. (4 points) Part B: Choose two different points from the table and calculate the slope between them. Show all necessary work. (4 points) Part C: What do the slopes from parts A and B tell you about the relationship between the points? Explain.

Quality Progress, February 2005, reports on improvements in customer satisfaction and loyalty made by Bank of America. A key measure of customer satisfaction is the response (on a scale from 1 to 10) to the question: "Considering all the business you do with Bank of America, what is your overall satisfaction with Bank of America?" Here, a response of 9 or 10 represents "customer delight." Suppose that the survey selected 350 customers. Assume that 48% of Bank of America customers would currently express customer delight. That is, assume p = .48.
Find the probability that the sample proportion obtained from the sample of 350 Bank of America customers would be within three percentage points of the population proportion. That is, find P(.45 < Picture < .51). (Round your answer to 4 decimal places. Do not round intermediate values. Round z-value to 2 decimal places.) P(.45 < Picture < .51) .7372
Find the probability that the sample proportion obtained from the sample of 350 Bank of America customers would be within six percentage points of the population proportion. That is, find P(.42 < Picture < .54). (Round your answer to 4 decimal places. Do not round intermediate values. Round z-value to 2 decimal places.) P(.42 < Picture < .54)

Answers

From the given data, the probability that the sample proportion is between 0.45 and 0.51 is approximately 0.7372 and between 0.42 and 0.54 is 0.9772.

To solve this problem, we can use the central limit theorem, which states that the distribution of sample proportions will be approximately normal for large sample sizes.

Given that the population proportion is p = 0.48 and the sample size is n = 350, we can calculate the standard error of the sample proportion as:

SE = √(p × (1 - p) / n) = √(0.48 × 0.52 / 350) = 0.025

We want to find the probability that the sample proportion is within three percentage points of the population proportion, or in other words, between 0.45 and 0.51. To do this, we can standardize the sample proportion using the standard error:

z = (P - p) / SE = (0.45 - 0.48) / 0.025 = -1.2

z = (P - p) / SE = (0.51 - 0.48) / 0.025 = 1.2

Using a standard normal distribution table or calculator, we can find the area under the curve between these two z-values, which represents the probability that the sample proportion is within three percentage points of the population proportion:

P(-1.2 < z < 1.2) = 0.7372

To find the probability that the sample proportion is within six percentage points of the population proportion, or between 0.42 and 0.54, we can use the same approach:

z = (P - p) / SE = (0.42 - 0.48) / 0.025 = -2.4

z = (P - p) / SE = (0.54 - 0.48) / 0.025 = 2.4

Again, using a standard normal distribution table or calculator, we can find the area under the curve between these two z-values:

P(-2.4 < z < 2.4) = 0.9772

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In September 1998 the population of the country of West Goma in millions was modeled by f(x)=17.9e0.002x. At the same time the population of East Goma in millions was modeled by g(x)=13.6e0.017x. In both formulas x is the year, where x=0 corresponds to September 1998. Assuming these trends continue, estimate what the population will be when the populations are equal.A. 19 millionB. 18 millionC. 17 millionD. 1 million

Answers

Option B, 18 million, is the answer to this question.

In September 1998, the population of West Goma in millions was modeled by the function f(x) = 17.9e0.002x, and the population of East Goma in millions was modeled by the function g(x) = 13.6e0.017x. Here, x represents the year, with x=0 corresponding to September 1998.

To find out the point of intersection where the populations are equal, we equate both formulas and solve for x:

17.9e0.002x = 13.6e0.017x

Taking the natural logarithm of both sides of the equation gives:

x ln(17.9) + 0.002x = x ln(13.6) + 0.017x

Simplifying and rearranging terms, we get:

ln(17.9) - ln(13.6) = (0.017 - 0.002)x

0.079 = 0.015x

Solving for x, we get:

x = 5.27 years

Since x is the year, when x = 5.27, it corresponds to the year 1998 + 5.27 ≈ 2003.

When the populations are equal, the population will be f(5.27) ≈ 18 million for West Goma.

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What identity can be used to rewrite the expression 8x +243? A. Difference of Cubes B. Pythagorean Triples C. Difference of Squares D. Sum of Cubes Find the area of the shaded parts. Which of the following is necessary to do a complete stoichiometric calculation? aAdd the nuclear masses of the products. bDivide the nuclear masses of the reactants. cWrite the complete balanced chemical equation. dWrite the number of atoms in 1 mole of the product. Explain the significance of the D-Day invasion of Normandy. Answer this question please Calculate 15% of 12000 for two (2) years Student Name 2. I 1. He thought about it 4. He 3. Can't you speak more 6. I 5. My brother walks very. (careful). (gradual) began to understand. (quiet)? (happy) accepted the offer. Group. Replace each adjective with an adverb-Usually ends with. (ly) or sometimes is not needed: 7. This changed the situation 8. He reacted ey are no Educative Center El Redentor Module #4 Change in Grammar Pandemic work to do at home 9. She speaks very. 10. The little boy fell very (quick). (dramatic). (complete) understand what you're saying. (favorable) to the announcement. (fast). Choose and write (hard). discuss the wars effect on the american economy and post war life. Which texas city did most of the pilots who flew planes during world war i train in? a. san antonio b. el paso c. houston d. waco state a way in which south african can engage in public participation Identify which persuasive device is best represented in the statement below. I received a call less than ten minutes after sending an email for help. I'll never turn anywhere else. How many "holdings" (or Investments) were in the Fidelity Select Technology Fund as of January 31, 2023? Which of the following characteristics would best describe a sample that enables you to draw accurate inferences from the sample? A. The sample is biased, but not random or representative. B. The sample is random, but not biased or representative. C. The sample is random and representative, but not biased. D. The sample is random, representative, and biased. Please help me solve this! Please and thank you! :D PLEASE HELP I WILL GIVE BRAINLIEST Rhiannon went to the store and bought two sweatshirts. She spent $72. What was the price of each sweatshirt?Would you write an inequality or an equation? Choose the words that best complete the sentences. Conjugate the verbs when necessary.apreciar | canales | concursos | dibujos animados | noticias | panelista | pronstico | televisoresA Rogelio le encanta la televisin y _______ todos los tipos! Tiene _______ en los cuatro cuartos de su apartamento y recibe un gran nmero de _______ para que pueda mirar lo que quiera. Por las maanas siempre mira el _______ de tiempo y las _______ para saber qu est pasando en el mundo. Cuando vuelve a casa despus del trabajo, Rogelio se relaja mirando los _______, que tambin le gustaban mucho cuando era nio. Mientras est cenando mira un programa de _______que cuenta con preguntas tipo trivia. Rogelio sabe las respuestas con tanta frecuencia Ojal que algn da sea un _______! A coin is flipped and a card is randomly selected from a deck of 52. What is the probability the coin will land on heads and the card will be a club? There are 13 clubs in a deck of cards.A. 1/8B. 1/24C. 4/9D. 1/2 Nick Inc. sponsors a defined-benefit pension plan. The corporations actuary provides the following information about the plan.1/1/202012/31/2020Projected benefit obligation625,000Plan assets550,000Prior service cost (plan amended)228,000Accumulated OCI (G/L)-Dr.92,500Settlement & expected return rate10%Service cost85,000Contributions (funding)120,000Actual return on plan assets44,000Benefits paid to retirees110,000Average service life of all covered employees in years10Notes: Read carefully and follow strictly so that Bb can grade you correctly!1. Use comma in numbers, one thousand is 1,000, not 1000. No $ sign. No positive or negative sign.2. If no entry is required, write N/A.3. Only use the following accounts: Cash, Pension expense, OCI-PSC, OCI-G/L, Pension asset/liability.4. Copy account names accurately to receive credits, names are not case sensitive.(a) Compute pension expense for 2019(1) Service cost(2) Interest cost(3) Actual return Plan Assets+/- Unexpected G/L= Expected return(4) PSC amortization(5) G/L amortization(6) Total pension expense(b) Prepare the journal entry for pension expense for 2019Account Dr.Account Dr.Account Dr.Account Cr.Account Cr. What is 0.06 written as a percent? Consider these three changes in the possible distributions of six gaseous particles within three interconnected boxes. Part a which change has a positive s