When the movie is half over, popcorn sells for half price. Which expression can be used to determine the new cost for 3 orders of popcorn and 3 drinks? 3 Left-bracket one-half (3.50) + 1.35 Right-bracket One-half (3.50) + 3 (1.35) One-half left-bracket 3 (3.50) + 3 (1.35) right-bracket (3.50) (3) divided by one-half + 1.35

Answers

Answer 1

Answer:

3[1/2(3.50)+1.35]Step-by-step explanation:

Answer 2

The expression for new cost is 3(3.50/2 + 1.35)

What is equations?

A mathematical statement that consists of two expressions connected by an equal sign is called an equation.

Given the cost of popcorn is half when movie is half over,

according to question

original cost of popcorn = 3.50

cost at interval = 3.50/2

cost of drink = 1.35

cost of 3 drink = 3 x 1.35

cost of 3 popcorn = 3 x 3.50/2

expression for new cost for 3 orders of popcorn and 3 drinks

3 x 3.50/2 + 3 x 1.35

= 3(3.50/2 + 1.35)

Hence the expression is 3(3.50/2 + 1.35)

Learn more about equations;

https://brainly.com/question/29657992

#SPJ5


Related Questions

s the Administrator for Cloud Computing, you have created a custom object that is the detail object in a master-detail relationship with Account. What is TRUE about the OWD setting for the custom object

Answers

In the scenario where a custom object is the detail object in a master-detail relationship with Account, the Organization-Wide Default (OWD) setting for the custom object would be controlled by the OWD setting of the master object, which is Account.

In Salesforce, the Organization-Wide Default (OWD) setting determines the default level of access for records of an object within an organization. When a custom object is set as the detail object in a master-detail relationship with Account, the OWD setting for the custom object will be controlled by the OWD setting of the master object, which is Account in this case.

The OWD setting for Account will dictate the level of access for the related records of the custom object. For example, if the OWD setting for Account is set to "Private," the related records of the custom object will also inherit the "Private" access level. This means that only users with appropriate sharing interest, such as those assigned to Account roles or sharing rules, will have access to the related records of the custom object.

Learn more about interest here:

https://brainly.com/question/30955042

#SPJ11

What is TRUE about the Organization-Wide Default (OWD) setting for the custom object in a master-detail relationship with Account?

Plsss help!!
Geometry A
Brainliest

Plsss help!!Geometry ABrainliest
Plsss help!!Geometry ABrainliest

Answers

Answer

Step-by-step explanation:

Use the formula to find the volume of the figure. Show your work.

Use the formula to find the volume of the figure. Show your work.

Answers

Hello !

Answer:

\(\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Step-by-step explanation:

To find the volume of a cone with the radius of its base and its height, we will apply the following formula:

\( \sf V{cone} = \dfrac{\pi \times r^2 \times h}{3} \)

Where r is the radius of its base and h is its height.

Given:

r = 10 mh = 23 m

Let's substitute our values into the formula:

\(\sf V{cone} = \dfrac{\pi (10)^2(23)}{3} = \dfrac{2300\pi}{3} \ \ \\\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Have a nice day ;)

CAN SOMEONE HELP ME PLEASE!

CAN SOMEONE HELP ME PLEASE!

Answers

9514 1404 393

Answer:

FalseFalseTrue

Step-by-step explanation:

1. All of the x-values are unique, so the relation is a function. The statement is False.

__

2. It is true that integer values of x in the interval 3 ≤ x ≤ 8 are the domain of the function. However, the inequality does not limit values of x to being integers. x=3.5 satisfies the inequality, but is not in the domain. The statement is False.

__

3. The range of the function is the set of y-values. The statement is True.

PLEASE FASTTTT
FIND X AND Y PLEASEEE

PLEASE FASTTTTFIND X AND Y PLEASEEE

Answers

Answer:

y = 2

x = -3.5

Step-by-step explanation:

3y and (2x + 13) are same-side angles.

that means they are equal

(that's not the real term for it, I just forgot what it's called)

using that, you can make this equation:

3y = 2x + 13

3y - 13 = 2x

(3y - 13)/2 = x

(5y - 4) and 3y are vertical angles.

vertical angles are equal.

using this, you can make the following equation:

5y - 4 = 3y

5y - 3y - 4 = 0

5y - 3y = 4

2y = 4

y = 2

now, substitute y for 2 in the original equation.

(3y - 13)/2 = x

(6 - 13)/2 = x

-7/2 = x

-3.5 = x

How do you learn 4x tables?

Answers

When you multiply 4 with any number, you can use the doubling-up trick (that's the one you used for the two times table) twice. Here is an example: 2 x 4 is the same as 2 + 2 = 4 and then 4 + 4 = 8. So, 2 x 4 = 8.

Here is next double, double example are: 5 x 4 is the same as 5 + 5 = 10, so then 10 + 10 = 20. So, the answer is 5 x 4 = 20.

Here, is the table of four.

4×1=4

4×2=8

4×3=12

4×4=16

4×5=20

4×6=24

4×7=28

4×8=32

4×9=36

4×10=40

To know more about Multiplication:

https://brainly.com/question/5992872

#SPJ4

Find the next four terms in the arithmetic sequence 1/4, 3/4, 5/4

Answers

Answer:

7/4, 9/4, 11/4, 13/4

Step-by-step explanation:

+ In an arithmetic sequence, to find the pattern you must subtract a term from the term after it to find the common difference.

3/4 subtracted from 5/4 is 2/4

1/4 subtracted from 3/4 is 2/4

+ So the common difference is 2/4 (Aka 1/2, but you want to keep the same denominator)

+ Therefore, between each new term, you add 2/4

1/4, 3/4, 5/4, 7/4, 9/4, 11/4, 13/4... and so on

A recipe calls for 1 1/2 cups of mayonnaise and 3/8 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is used?

Answers

Answer:

4 cups of mayonnaise.

Step-by-step explanation:

The ratio of the amount of pecans comparing reality and the recipe is:

1 : 3/8

= 1/(3/8)

= 8/3

Hence, to find the amount of mayonnaise that should be added:

8/3 * 3/2

= 8/2

= 4 cups

Hope this helped!

The triangles are congruent by the SSS congruence theorem. Triangles B C D and W X Y are shown. Triangle B C D is shifted up and to the right and then rotates about point D to form triangle W X Y. Which transformation(s) can map TriangleBCD onto TriangleWXY? rotation only reflection only translation, then rotation translation, then reflection

Answers

Answer:

C) Translation then Rotation

Step-by-step explanation:

I got it right on the quiz. Edge 2020

Answer:

its c

Translation then Rotation

Step-by-step explanation:

got it right on edge

Daniela, Kieu, and Cameron decide to go to the movies one hot summer afternoon. The theater is having a summer special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink. They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back again, only this time, they each pay $8 for a ticket, they each get a large soft drink, but they share one large bucket of popcorn. This return trip costs them a total of$37.50. Use systems of equations to find the price of a large soft drink and the price of a large bucket of popcorn!​

Answers

Answer:

Price of a large soft drink = $3

Price of large bucket of popcorn = $4.5

Step-by-step explanation:

Let the cost of one large popcorn = $P

And the cost of one large soft drink = $S

If Daniela, Kieu and Cameron avail the deal of Three Go Free,

3P + 3S = 22.50

P + S = 7.5 -----(1)

Next time they each pay $8 for a ticket, they each get a large soft drink but they share one large bucket of popcorn.

This trip cost them = $37.50

Cost of 3 tickets + Cost of 3 large soft drinks + Cost of one large bucket of popcorn = 37.50

(3 × 8) + (3 × S) + P = 37.5

24 + 3S + P = 37.5

3S + P = 13.5 -----(2)

By subtracting equation (1) from equation (2),

(3S + P) - (P + S) = 13.5 - 7.5

2S = 6

S = $3

From equation (1),

P + 3 = 7.5

P = $4.5

Therefore, price of a large soft drink is $3 and a large bucket of popcorn is $4.5

Consider the following function.

Place the steps for finding f(x) in the correct order.

Consider the following function. Place the steps for finding f(x) in the correct order.

Answers

Answer:

 \(\frac{x-7}{4} =f^{-1}( x)\)

Step-by-step explanation:

→ Replace f(x) with y

y = 4x + 7

→ Minus 7 from both sides

y - 7 = 4x

→ Divide both sides by 4

\(\frac{y-7}{4} =x\)

→ Replace y's with f⁻¹(x)

\(\frac{x-7}{4} =f^{-1}( x)\)

3. Write an exponential function for each set of points.
a. (0, 3), (1, 12), (2, 48), (3, 192), and (4, 768)

Answers

The exponential function for each set of points is y = 3 * 2ˣ,

What is the exponential function?

An exponential function is a Mathematical function in form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

The exponential function can be described as y = 3 * 2ˣ,

where,

x is the input value

and y is the output value.

This function says that for every increase in x by 1 unit, the value of y will be multiplied by 2, starting from an initial value of 3.

For example, when x = 0, y = 3 * 2⁰ = 3, and when x = 1, y = 3 * 2¹ = 12.

Hence, the exponential function for each set of points is y = 3 * 2ˣ,

To learn more about the exponential function visit,

https://brainly.com/question/12940982

#SPJ1

The length of the rectangle is 11yd less than three times the width , and the area of the rectangle 42 yd 6^2 . Find th dimension of the rectangle

Answers

Answer:

width = 6 yards

length = 7 yards

Step-by-step explanation:

Area of a rectangle = length x width

width = w  

length = 3w - 11

w x (3w - 11) = 42

3w² - 11w = 42

3w² - 11w - 42 = 0

this is a quadratic equation :

Determine factors of (3w² x -42) -126w² that add up to -11w

these factors are -18w and +7w

3w² - 18w +7w - 42 = 0

3w(w - 6) + 7(w - 6)

(3w + 7) (w - 6)

w = 6

or

3w + 7 = 0

w = -7/3

since the width cannot be negative, the width would be 6 yards

length = 3w - 11

3(6) - 11

18 - 11 = 7

Which situation represents the expression, 3/5 divided by 1/4?

Which situation represents the expression, 3/5 divided by 1/4?

Answers

The situation that represents the expression, 3/5 divided by 1/4 is Option B

What is interquartile range?

The interquartile range is described as  the range of values that resides in the middle of the scores.

It is abbreviated as (IQR)

From the information given, we have the expression in a fraction form as;

3/5 divided by 1/4

Now, we can see that the value of 3/5 is divided by 4, since

3/5 ÷ 1/4

Take the inverse of the divisor, we get;

3/5 × 4/1

Multiply the values, we have;

12/5

Learn more about interquartile range at: https://brainly.com/question/1210750

#SPJ1

A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?

A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?

Answers

The slope of the new road is zero.

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:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ1

You have completed 1000 simulation trials, and determined that the average profit per unit was $6.48 with a sample standard deviation of $1.91. What is the upper limit for a 89% confidence interval for the average profit per unit

Answers

The upper limit for the 89% confidence interval of the average profit per unit, based on the 1000 simulation trials, is estimated to be $6.98.

Find the upper limit of the 89% confidence interval ?

To find the upper limit for an 89% confidence interval for the average profit per unit, we can use the following formula:

Upper limit = sample mean + margin of error

The margin of error can be calculated using the following formula:

Margin of error = z* (standard deviation/ sqrt(n))

where z* is the z-score associated with the level of confidence we are interested in, n is the sample size, and the standard deviation is the sample standard deviation.

To find the z-score associated with an 89% confidence interval, we can use a standard normal distribution table or a calculator. The z-score for an 89% confidence interval is approximately 1.645.

Substituting the given values in the formula, we get:

Margin of error = 1.645 * (1.91 / sqrt(1000)) = 0.099

Now, we can calculate the upper limit as:

Upper limit = sample mean + margin of error = 6.48 + 0.099 = 6.579

Therefore, the upper limit for an 89% confidence interval for the average profit per unit is $6.579.

Learn more about Confidence interval

brainly.com/question/29680703

#SPJ11

Math You are offered after college. If you do well in year one, you will receive a bonus of $100 squared. Find the amount of the bonus. Prime delivers “12 to the fifth power” packages per day. How many total packages does Prime deliver?

Answers

Answer:

6000

Step-by-step explanation:

100x12= 1200+1200+1200+1200+1200=6000

the temperature is -3 at 6am but it rises to 12 at the afternoon what is the temperature In the afternoon

Answers

Answer:

1cm divided by 17 = 32 then subtract the 32 into 17

find the area of the shape a is 3cm h is 6cm

Answers

18cm
Area is length x width so it’s 3x6 which is 18

A set of n 25 pairs of scores (X and Y values) produces a regression equation of Y 3X 2. Find the predicted Y value for each of the following X scores: 0, 1, 3, 2.

Answers

The regression equation is given as Y = 3X + 2. We can use this equation to find the predicted Y value for each of the given X scores.

For X = 0:

Y = 3(0) + 2

Y = 0 + 2

Y = 2  

For X = 1:

Y = 3(1) + 2

Y = 3 + 2

Y = 5

For X = 3:

Y = 3(3) + 2

Y = 9 + 2

Y = 11

For X = 2:

Y = 3(2) + 2

Y = 6 + 2

Y = 8

Therefore, the predicted Y values for X = 0, 1, 3, and 2 are 2, 5, 11, and 8, respectively.

Learn more about regression here

https://brainly.com/question/25987747

#SPJ11

the graph of an ellipse is shown. which equation represents this ellipse?

the graph of an ellipse is shown. which equation represents this ellipse?

Answers

An equation is formed of two equal expressions. The equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,

(x - h)²/a² + (y - k)²/b² = 1

(x - 6)²/7² + (y - 2)²/3² = 1

[(x-6)²/49] + [(x-2)²/9] = 1.

Hence, the equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .

Learn more about Equation visit:

brainly.com/question/2263981

#SPJ1

Answer:

the answer is A on edge :)

Step-by-step explanation:

good luck <3

1. A man is able to walk 216 feet in 3 minutes. How far can he walk in 1
minute?

Answers

Answer: 216/3

Step-by-step explanation:

1 minute / 3 minutes = 1/3

216 feet * 1/3 = 216/3 feet per minute

Answer:

72 feet

Step-by-step explanation:

This question tests on the concept of conversion.

Given from the question, given the man can walk 216 feet in 3 minutes,

3 minutes = 216 feet

(3÷3) minute = (216 ÷ 3) feet

1 minute = 72 feet

find the length of to the nearest tenth

Answers

Answer:

hi im not sure but i rlly need the points have a good day<3

Step-by-step explanation:

How do we convert 1 g/cm3 to kg/m3

Answers

The units g/cm3 and kg/m3 are both used to express the density of a material, which is a measure of its mass per unit volume. Here's how you can convert g/cm3 to kg/m3: Multiply the density in g/cm3 by a conversion factor of 10^-3. Divide the result by a conversion factor of 100^3.

The conversion between g/cm3 and kg/m3 involves multiplying the density in g/cm3 by a conversion factor that takes into account the differences in units of mass (g vs. kg) and volume (cm3 vs. m3).

For example, let's consider the density of water, which is 1 g/cm3. To convert this density to kg/m3, we multiply by 10^-3 to get 0.001 kg/g. Then, we divide by 100^3 to get the final result: 1 g/cm3 * 10^-3 kg/g / 100^3 cm^3/m^3 = 0.001 kg/g * 1/10^9 cm^3/m^3 = 0.001/10^9 kg/m^3 = 1 kg/m^3.This is how you can convert g/cm3 to kg/m3.

For more such questions on Conversion of g/cm3 to kg/m3.

https://brainly.com/question/30086429#

#SPJ11

Please answer
Find the product.
(7m^2-3m-7)(m^2-7m-6)​

Answers

Step-by-step explanation:

(7m²-3m-7)(m²-7m-6) =

7m⁴-49m³-42m²-3m³+21m²+18m

-7m²+49m+42

= 7m⁴-52m³-28m²+67m+42

Answer:

\(→(7 {m}^{2} - 3m - 7)( {m}^{2} - 7m - 6) \\ = 7 {m}^{4} - 49 {m}^{3} - 42 {m}^{2} - 3 {m}^{3} + 21 {m}^{2} + 18m - 7 {m}^{2} + 49m + 42 \\ = \boxed{ 7 {m}^{4} - 52 {m}^{3} - 28 {m}^{2} +6 7m + 42}✓\)

7m⁴-52m³-28m²+67m+42 is the right answer.

Compute the mean and variance of the following probability distribution. (round your answers to 2 decimal places.) x p(x) 7 0.10 14 0.20 21 0.25 28 0.45 click here for the excel data file

Answers

The mean of the probability distribution is 21.35 and the variance of the probability distribution is 51.3275

Given the probability distribution with values of x and corresponding P(x). We need to find the values of \(x^2\), x P(x), \(x^2\) P(x) to calculate mean and variance.

x       P(x)          \(x^2\)      x P(x)      \(x^2\) P(x)

7       0.10         49       0.7         4.9

14     0.20        196      2.8         39.2

21     0.25         441     5.25       110.25

28     0.45        784     12.6       352.8

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

∑x P(x) = 21.35

∑\(x^2\) P(x) = 507.15

Mean = ∑x P(x) = 21.35

and variance = ∑\(x^2\) P(x) - \((\sum x\ P(x) )^2\) = 507.15 - 455.8225 = 51.3275

Learn more about mean and variance at https://brainly.com/question/25639778

#SPJ4

Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?

Answers

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

6. Which equation illustrates the Multiplicative Inverse Property? Then list the property for all
he other answers right next to them.
F. 0•16 = 0
G. 1 (48) = 48
H. 3•1/3 = 1
J. 9(1+0) = 9(1)

Answers

\(\\ \bull\longmapsto 3.\dfrac{1}{3}\)

\(\\ \bull\longmapsto 3\times \dfrac{1}{3}\)

\(\\ \bull\longmapsto \dfrac{3}{3}\)

\(\\ \bull\longmapsto 1\)

Which describes us our multiplicative identity .

Which says

if x is a number then x×1/x=1

2-simplifica

1)x²-5x-16

x+2=

2)6an²-3b²n²

b4-4ab²+4a²=

3)4x²-4xy+y²

5y-10x

4)n+1-n³-n²

n³-n-2n²+2=

5)17x³y4z6

34x7y8z10=

6)12a²b³

60a³b5x6=

Answers

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Learn more about  expression from

https://brainly.com/question/723406

#SPJ11

The base of a triangle is twice that of its height. If the area is 36 square centimeters, then find the length of its base and height.

Answers

Answer:

height = 6 cm

base = 12 cm

Step-by-step explanation:

Let the base of the triangle is denoted by b

Let the height of the triangle is denoted by h

We are given that base of a triangle is twice that of its height,

b = 2h

Recall that area of a triangle is given by,

A = ½×b×h

We are given that area of the triangle is 36 cm²

36 = ½×b×h

Substitute b = 2h in the above equation

36 = ½×2h×h

36 = h×h

h² = 36

h = √36

h = 6 cm

Therefore, the height of the triangle is 6 cm

b = 2h

b = 2(6)

b = 12 cm

Therefore, the base of the triangle is 12 cm

Verification:

A = ½×b×h

A = ½×12×6

A = ½×72

A = 36 cm²

Hence proved

Other Questions
What is a main idea of Wilbur and Orville Wright: Men with Wings? A The Wright brothers take turns at the controls as they test their gliders. B The Wright brothers invent the first motor-powered plane that can truly fly. C Along with the Wright brothers, five local seamen work together to test the plane. D On the day of their test flight, the wind makes it difficult for the plane to take off. the ratio of birth to the population of a certain town last year was 32:1000I) if the number of birth in the town was 384 children, what was the number of population in that town Solve.(Refer to the picture) True or False. When slaves rebelled, even in small ways, they were metwith violence.Select one:FalseTrue "she spoke too softly.i couldn't _her." (a) hear. (b) hears. (c) will hear. (d) heard. Copernicus challenged the way in which people of his time thought about the solar system. How did Copernicus describe the motion of the sun?A.The sun is stationary.B.The sun revolves around Earth.C.The sun moves in an elliptical orbit.D.The sun moves in a straight line through space. Help me please....... TRUE/FALSE. small counties frequently cannot afford to seek the death penalty as punishment because of the expenses involved in such trials. During their migration, what do the wildebeests follow? RainSunZebrasRivers assume that event a occurs with probability 0.6 and event b does not occur with probability 0.6. assume that a and b are disjoint events. the probability that either event occurs (a or b) is question 3 options: a) 0.7 HELPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!! please answer all requirements and follow any rounding instructionsor whole number instructionsEvelyn Barker, controller of the After School Snacks, is preparing a presentation to senior executives about the performance of its four divisions. Summary data related to the four divisions for the m Select all of the following equation(s) that are quadratic in form. x4 6x2 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 4x = 0 The marginal propensity to consume can never be greater than one. True or false? Justify your answer. Jonathan put ice cream in the freezer, and the ice cream remained frozen.Which of the following best describes this situation? Based on the data, this is an example of correlation and causation. Based on the data, this is an example of correlation. Based on the data, this is an example of causation. Based on the data, this is not an example of causation or correlation. which shape has ten sides and angles Some organisms taste terrible. Thisadaptation helps the organism...A. ward off unwanted mates.B. avoid being paten.C. blend in with its surrounding. Write the coordinates of the vertices after a translation 6 units left and 3 units down For the following scenarios (a) state which distribution you should use (Hypergeometric, Binomial, Negative Binomial, or Poisson), (b) define the random variable, and (c) state the parameter values. Notes: - Make sure your definition of the random variable aligns with the question being asked. - You do NOT need to find the value of the probability. - Hypergeometric Distribution Parameters: N,n,k,Nk- Binomial Distribution Parameters: n,p- Negative Binomial Distribution Parameters: k,p- Poisson Distribution Parameters: ,t , or t- There is one example for each distribution listed. Scenarios: (a) We want to predict the sales in a specialty store. Suppose an old book store sells four-hundred books per week. What is the probability that they sell eighty-five books in two days? (b) AD's Engineering Firm is hiring for summer internship positions in Civil Engineering and Cybersecurity. The number of open positions for Civil Engineering was 14, and the number of open positions for Cybersecurity was 10 . So far, 9 candidates have been selected for these positions (assuming that once a person accepts a position, it is set in stone). Find the probability that 5 of the candidates selected were for the Civil Engineering Internship. (c) CP performed a nationwide survey of 18- to 24year-olds which revealed that approximately 36% approve of vaping. If 15 people from this group is selected at random and asked their opinion, find the probability that the number who disapprove of vaping is greater than 7 . (d) At the grocery store, Alice sorted through a barrel of apples to find the ones that she wanted to buy. We define a success as finding an apple that is "ideal" (not bruised or soft). The probability that an apple is "ideal" is 0.62 . Find the probability that we need to look through 4 apples in the barrel to find 3 that are "ideal". Question 2 (Do not use Excel for this question) Hydrogen cyanide (HCN) can be produced by the following gas-phase reaction N (g) + CH (g) 2 HCN (g) A mixture of nitrogen and acetylene (CH) containing 20% excess N enters an isothermal reactor, and the reaction products exit the reactor at thermodynamic equilibrium. The pressure in the reactor is 2 bar. (a) Calculate the temperature required for 5% conversion (X = 0.05) of acetylene at equilibrium. Assume that the standard enthalpy of the reaction, AHO, is independent of temperature. The ideal gas assumption can be used. (b) For this reaction, under the ideal gas assumption: (i) What is the effect of increasing the pressure on the equilibrium conversion? (ii) What is the effect of increasing the temperature on the equilibrium conversion?