for an experiment with three conditions with n = 15 each, find q

Answers

Answer 1

Answer:

The number of ways to allocate the total sample size of 45 into three conditions with n = 15 each is q ≈ 1.276 × 10^38

Step-by-step explanation:

o find q, we need to know the number of all possible ways to allocate the total sample size (n = 45) into the three conditions with equal sample sizes (n = 15 each). This is given by the multinomial coefficient:

q = (n choose n1, n2, n3) = (n!)/(n1! * n2! * n3!)

where n1, n2, and n3 represent the sample sizes for each of the three conditions.

Since each condition has the same sample size, we have n1 = n2 = n3 = 15, so:

q = (45!)/(15! * 15! * 15!)

To simplify this expression, we can use the fact that:

n! = n * (n-1) * (n-2) * ... * 2 * 1

Therefore:

45! = 45 * 44 * 43 * ... * 2 * 1

15! = 15 * 14 * 13 * ... * 2 * 1

Substituting these into the expression for q, we get:

q = (45 * 44 * 43 * ... * 2 * 1) / [(15 * 14 * 13 * ... * 2 * 1) * (15 * 14 * 13 * ... * 2 * 1) * (15 * 14 * 13 * ... * 2 * 1)]

Simplifying the denominator, we get:

q = (45 * 44 * 43 * ... * 2 * 1) / (15!)^3

Using a calculator or computer program to evaluate this expression, we get:

q = 1.276 × 10^38

Therefore, the number of ways to allocate the total sample size of 45 into three conditions with n = 15 each is q ≈ 1.276 × 10^38.

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Related Questions

Order the following expressions from least to greatest

(Quick Please)

Answers

square root (3) < square root (pie) < 2

The Random Variable is normally distributed with mean = 98 and standard deviation =
20.41.
On the sampling distribution with n = 81, for what value of the sample mean (X) would have
10% of the possible sample means less than it? Round your answer to 2 decimal places.

Answers

If mean is 98, standard deviation is 20.41, n=81 then sample mean will be  131.57445 which would have 10% of the possible mean less than it.

Given that mean is 98,standard deviation is 20.41,n=81 and significance level be 10%.

We are required to find the value of sample mean.

Because the value of n is greater than 30 so we will use z statistics in the problem.

We know that,

Z=(X-μ)/σ  in which μ is population mean, σ is standard deviation.

Confidence level=1-0.01=0.09 means 90%.

Z value for 90% confidence level be 1.645.

we have to put the value of Z=1.645 , μ=98,σ=20.41 to get the value of X.

1.645=(X-98)/20.41

1.645*20.41=X-98

33.57445=X-98

X=98+33.57445

X=131.57445

Hence if mean is 98, standard deviation is 20.41, n=81 then sample mean will be  131.57445 which would have 10% of the possible mean less than it.

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A private tutoring company charges $20 for a 1-hour session. Currently, 300 students are each tutored for an hour each week. Since the company is losing money, the owner has decided to increase the price. For each 50¢ increase, she estimates that 5 fewer students will participate. If the company needs to bring in $6,210 per week to stay in business, what price must be charged for a 1-hour tutoring session to produce this amount of revenue?

Answers

The price that must be charged for a 1-hour tutoring session to produce this amount of revenue is 24.5 dollars

How to solve Word Problem

The first thing to do with word problem is to understand the question. After that, make analysis of the question.

It is given that a A private tutoring company charges $20 for a 1-hour session. Currently, 300 students are each tutored for an hour each week. Since the company is losing money, the owner has decided to increase the price. For each 50¢ increase, That is $20.5 for each students.

If she estimates that 5 fewer students will participate, that is, 295 students, and the company needs to bring in $6,210 per week to stay in business.

Let us assume that 1 hour per day. And there are 7 days in a week.

Divide the money by 7 to know the value per day

6210/7 = 887.14

Now, divide the amount per day by 250 students to know the amount per student per hour

887.14/295 = 3.007

The price that must be charged for a 1-hour tutoring session to produce this amount of revenue should be 20.5 + 4 = 24.5 dollars

Therefore, each student will pay $24.5 per hour

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How many three-digit numbers use only the digits 0,1 and 5

Answers

The number of three digit numbers which use only the digits 0,1, and 5 is; 18.

How many three digit numbers use 0,1 and 5?

Since, it follows from the task content that three digit numbers are to be considered, Hence, it follows that the choice for the first digit is between 1 and 5, for the second number and third number, the choice lies within all three numbers.

On this note, we have;

= 2× 3 × 3.

= 18.

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What is the area of this triangle?

_units²

Answers

The area of the triangle is 4 units²

What is the area of a triangle?

The area of a triangle is the half the base multiplied with the height of that triangle

Area = 1/ 2 × b × h

From the figure given,

base = 7 - 3 = 4 units

height = 4 - 2 = 2 units

Area = 1/ 2 × 4 × 2

Area = 1/ 2 × 8

Area = 4 units²

Thus, the area of the triangle is 4 units²

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If p(a) = 2/3, p(b) = 4/5, and p(anb) = 3/5, what is P( AuB) ( the n is the arc shape direction, so is the u)

Answers

By the inclusion/exclusion principle,

[tex]P(A\cup B) = P(A) + P(B) - P(A\cap B)[/tex]

[tex]P(A\cup B) = \dfrac23 + \dfrac45 - \dfrac35[/tex]

[tex]P(A\cup B) = \dfrac{10}{15} + \dfrac{12}{15} - \dfrac9{15}[/tex]

[tex]P(A\cup B) = \boxed{\dfrac{11}{15}}[/tex]

Sofa co is selling sofas with a 33% discount off the original price to reduce its stock. Calculate the discounted price of a sofa originally selling for £999.00. Please show your working.

Answers

so discount means 33% of £999 is subtracted from £999 so 33% of 999 is 329.67 so to calculate the discounted price 999-329.67

According to a secret government report, 1/3 of
all the jelly beans in the world are red. If that
1/3 amounts to 38,567,942 red jelly beans, how
many jelly beans are there in total?

Answers

Proportionately, the total jelly beans in the world will be 115,703,826.

What is a proportion?

A proportion refers to a fraction of a whole.

A proportion is a ratio or a number relationship between two or more values or variables.

The proportion of a whole value can be represented as a fraction, decimal, or percent.

Data and Calculations:

Red jelly beans in the world = 1/3

And 1/3 = 38,567,942

1/1 = 115,703,826 (38,567,942/1/3)

Thus, if 1/3 of the jelly beans in the world is 38,567,942, then the whole jelly beans will be 115,703,826.

Thus, proportionately, the total jelly beans in the world will be 115,703,826 because 1/3 of 115,703,826 is 38,567,942.

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If a person stands 40 ft from a tree and the angle of elevation made from their eyes (5 ft above the ground) to the top of the tree is 47°, how tall is the tree? Round your answer to the nearest foot.

Answers

Using the given information, the height of the tree is 48 ft

Trigonometry

From the question, we are to determine the height of the tree

In the given diagram, the height of the tree is (x + 5) feet

First, we will determine the value of x

tan 47° = x / 40

x = 40 × tan47°

x = 42.89 ft

∴ The height of the tree = (42.89 + 5) ft

Height of the tree = 47.89 ft

Height of the tree ≈ 48 ft

Hence, the height of the tree is 48 ft.

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rationalize the denominator
PLS HELP

Answers

Answer:

x = 5, y = sqrt6, z = 3

Step-by-step explanation:

[tex]\frac{10}{\sqrt{6} } \\\\\frac{(10)(\sqrt{6} )}{(\sqrt{6} )(\sqrt{6}) } \\\\\frac{10\sqrt{6} }{6} \\\\or\\\\\frac{5\sqrt{6} }{3}[/tex]

❄ Hi there,

let us revise the way we rationalize the denominator before we get down to the actual process.

__________

Suppose you had a problem, and you did all the steps, and you arrived at the following answer: [tex]\sf{\dfrac{10}{\sqrt6}}[/tex].

Well, this answer is not in its simplest form, because it has an irrational number in its denominator.

So what we do is we get rid of that irrational number in the denominator  by multiplying the fraction's top & bottom by [tex]\sqrt6[/tex]:

[tex]\sf{\dfrac{10\sqrt6}{\sqrt6\times \sqrt6}}[/tex]

Now we simplify

[tex]\sf{\dfrac{10\sqrt6}{6}}[/tex]

Reduce

[tex]\sf{\dfrac{5\sqrt6}{3}}[/tex]

- - - - -  - - -

Q.estimate the area of each polygon in square units.
i cant understand the question can someone help me and provide detailed explanation with the solution. please provide reasons so i can grasp the concept.

Answers

Answer is estimate 12 square units

Step by step
An estimate is a close guess.

To make an estimate or guess, you can square off the parallelogram and create a rectangle and add your squares (or multiply 3x4) to = 12.

You can use the formula for the exact area using base x height (3x4) you get the same answer of 12 square units.

If you had a figure that was NOT on the lines you would estimate the area because you would not have exact measurements.

The area of the polygon is 12 square units.  In mathematics and everyday life, an estimate is an approximate calculation or guess that is close to the actual value but may not be exact.

To make an estimate or guess, you can square off the parallelogram and create a rectangle and add your squares (or multiply 3x4) to = 12": This part explains a method for estimating the area of a parallelogram. It suggests that if you take a parallelogram and "square it off" (convert it into a rectangle by drawing a perpendicular line), you can then find the area of the rectangle, which is easier to calculate. In this case, the dimensions of the rectangle are given as 3 units for the base and 4 units for the height, and the estimated area is 12 square units.

You can use the formula for the exact area using base x height (3x4) you get the same answer of 12 square units": This part emphasizes that the estimation method used in step 2 (multiplying 3 by 4) produces the same result as the exact formula for finding the area of a parallelogram, which is base times height. In this case, both the estimation and the formula give an area of 12 square units.

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In the triangle below, what is the measure (in degrees) of angle X?
66°
55°
X

Answers

Answer:

59

Step-by-step explanation:

Angle degrees in a triangle add up to 180

66+55+x=180

121+x=180

x=59

Answer

59°

Step-by-step explanation:

A triangle's angles add up to 180°.

So to find the last angle of the shape, you need to add the given angles and then subtract the answer from 180° looking like this:

66° + 55° = 121°

180° - 121° = 59°

please helppp I really don't understand this lol

Answers

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

pls help me..
look at the pic below!!

Answers

Answer:

y = 3(x - 2)² - 5

==================

Given equation

y = 3x² - 12x + 7

Convert this to vertex form

y = a(x - h)² + k

Follow the steps

y = 3x² - 12x + 7 =

     3(x² - 4x) + 7 =                                  Factor out 3

     3(x² - 4x + 4) - 3*4 + 7 =                   Complete the square

     3(x - 2)² - 5                                       Simplify

Answer:

  y = 3(x -2)² -5

Step-by-step explanation:

It looks like you want to write the standard-form quadratic ...

  y = 3x² -12x +7

in vertex form.

The process is similar to that of "completing the square."

Steps

Factor out the leading coefficient

Do this for the variable terms only.

  y = 3(x² -4x) +7

Identify the x-term coefficient

The x-term coefficient (inside parentheses) divided by 2 is the opposite of the x-coordinate of the vertex. It is the constant term in the squared binomial of the vertex form. Square this value.

  x coefficient: -4

  binomial constant: -4/2 = -2

  square of this: (-2)² = 4

Add this inside parentheses

To keep the overall equation unchanged, you must also subtract an equal amount outside parentheses.

  y = 3(x² -4x +4) +7 -3(4)

Simplify to vertex form

Write the trinomial in parentheses as a square, and simplify the y-coordinate of the vertex.

  y = 3(x -2)² -5

At the movie theatre, child admission is and adult admission is . On Wednesday, tickets were sold for a total sales of . How many child tickets were sold that day

Answers

The child tickets were sold that day is 82.

Given the cost of child admission $6.30 and the cost of adult admission $9.80 and on Wednesday 144 tickets were sold for a total sales of $1124.20.

Let the child tickets are x and adult tickets are y.

On Monday, 144 tickets were sold for a total sales.

x+y=144              ........(1)

Total sales = $1124.20

Need to find the child tickets sold on Wednesday.

Total sales = 6.30x+9.80y

Total sales = $1124.20

So,6.30x+9.80y=1124.20                        .......(2)

Find the value of y from equation (1), we get

x+y-x=144-x

y=144-x

Now, we will substitute the value of y in equation (2) to find the value of x, we get

6.30x+9.80(144-x)=1124.20

Apply the distributive property that is a(b+c)=ab+ac, we get

6.30x+9.80×144-9.80x=1124.20

6.30x+1411.2-9.80x=1124.20

Combine the variable terms on left side, we get

1411.2-3.5x=1124.20

subtract 1411.2 from both sides, we get

1411.2-3.5x-1411.2=1124.20-1411.2

-3.5x=-287

Divide both sides with -3.5x, we get

-3.5x/(-3.5)=-287/(-3.5)

x=82

Therefore, 82 child tickets were sold on Wednesday when cost of child admission $6.30 and the cost of adult admission $9.80.

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Laurel appears at Comedy Cafe at a random time between 1:00 and 2:00. Hardy turns up at a random time between 2:00 and 2:30. The probability that Laurel waits for no more than 40 minutes for Hardy can be expressed in the form $m/n$, where $m$ and $n$ are relatively prime positive integers. Find $m n$.

Answers

Answer:

i need more info please

Step-by-step explanation:

Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?
8, 10, 14
9, 12, 15
10, 14, 17
12, 15, 19

Answers

Answer:

8, 10, 14

Step-by-step explanation:

1. 8² + 10² = 164 and 14² = 196, so this works.

2. 9² + 12² = 15² = 225, so this is a right triangle.

3. 10² + 14² = 296 and 17² = 289, so this is an acute triangle.

4. 12² + 15² = 369 and 19² = 361, so this is an acute triangle.

Answer:

a

Step-by-step explanation:

x/4 ÷ 2/3 = 1/5

solve for x

Answers

The value of x from the equation x/4 ÷ 2/3 = 1/5 is 8/15

Fraction

x/4 ÷ 2/3 = 1/5

x/4 × 3/2 = 1/5

(x × 3) / (4 × 2) = 1/5

3x / 8 = 1/5

cross product

3x × 5 = 8 × 1

15x = 8

x = 8/15

Therefore, value of x from the equation x/4 ÷ 2/3 = 1/5 is 8/15

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WILL GIVE BRAINLIEST
The number of lattes sold daily by two coffee shops is shown in the table.


Shop A Shop B
55 36
52 40
50 34
47 39
51 44
48 41
53 40
53 38


Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both coffee shops because the data distribution is symmetric
Median for both coffee shops because the data distribution is not symmetric
Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric
Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric

Answers

Answer:

It will be a more accurate thing to put it into the mean.

Step-by-step explanation:

Mainly, there is a lot of numbers in the data. So the reason Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.

Hoped this helped. Please mark me brainliest!

Fifty people enter a contest in which three identical prizes will be awarded. In how many different ways can the prizes be awarded to the entrants

Answers

There are 117600 ways for the distribution of the prizes.

According to the statement

We have given that the number of people enter in a contest is 50.

And

Number of prizes given identically is 3.

And we have to find that the by how many ways can be prizes be awarded.

So,

Provided that no one can receive more than one prize,

It means The first prize can be given to any of the 50 people, the second to any of the remaining 49, and the third to the remaining of the 48,

Here we use Permutation

Then the possibilities become is

50*49*48= 117600

So there are above written ways to distribute the prizes.

There are 117600 ways for the distribution of the prizes.

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Mediciones recientes del fondo del mar que se extiende a lo largo de las crestas a medio océano muestran que la deriva continental es del orden de 4 cm. Suponga que este valor ha sido constante a través del tiempo y considere la distancia actual entre Sudamérica y África como 5000 millas. ¿Cuánto tarda Aproximadamente pangea en fragmentarse?

Answers

Usando proporciones, hay que la pangea tardra aproximademente 20,116,750 años para fragmentar-se.

¿Qué es una proporción?

Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.

La deriva continental es del orden de 4 cm al año. La distancia actual entre Sudamérica y África es de 5000 millas. En cm, esta distancia es la seguiente:

5000 millas = 5000 x 160934 cm = 80,467,000 cm.

Asi, el tiempo que levará para la pangea fragmentar-se es:

t = 80,467,000/4 = 20,116,750 años

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HELP IM BEING TIMED I NEED THE ANSWER QUICKLY AS POSSIBLE!!
What is the range of the absolute value function below?

Answers

According to the graph

It's a Translated modulus functionIt has vertex at (4,1)

Maximum value is 1

So

Range is

f(x)≤1

Option C

An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers.

Answers

What is sequence ?A sequence is a set of the objects or numbers in a specific order. It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}Sequence and series is one of the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements. An arithmetic progression is one of the common examples of sequence and series.

"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."  

The general form an arithmetic sequence is:

       [tex]a_{n} = a_{1} + (n- 1) d[/tex]

The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.

So, the statement provided is True.

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A linen napkin, in the shape of a square, has sides that are 10 inches long.

If the napkin is folded along the diagonal, whats the length of the diagonal?
round to the nearest tenth.

Answers

Answer: A=187.5,2

Step-by-step explanation:

answer would be 187.5

Alex has 84 quarters and nickels worth a total of $17.80.

Which equation can be used to find q, the number of quarters Alex has?

Answers

The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.

Quarters and nickels

Total coins = 84Total value = $17.80

let

Number of quarters = qNumber of nickels = n

n + q = 84

0.05n + 0.25q = 17.80

From equation (1)

n = 84 - q

Substitute into (2)

0.05n + 0.25q = 17.80

0.05(84 - q) + 0.25q = 17.80

4.2 - 0.05q + 0.25q = 17.80

- 0.05q + 0.25q = 17.80 - 4.2

0.20q = 13.60

q = 13.60 / 0.20

q = 68

Substitute q = 68 into

n + q = 84

n + 68 = 84

n = 84 - 68

n = 16

Therefore, the number of quarters and nickels are 68 and 16 respectively.

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A civil engineer is designing a public parking lot for the new town hall. The number of cars in each row should be six less than the number of rows in the lot. The mayor has requested that the new lot should hold twice as many cars as the current parking lot, which has space for 56 cars.

Determine which equation the civil engineer can use to find the number of rows, x, he should include in the new parking lot.

A.
6x2 − 56 = 112
B.
x2 − 6 = 112
C.
x2 − 6x = 112
D.
2x2 − 12x = 112

Answers

The equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D

How to determine the equation

Let the number of rows be x

Number of cars in each row = x - 6 = 56

Number of rows for parking lot = 2x

Then,

Number of cars for new parking lot = 2x ( x - 6 = 56)

Expand the expression,

2 ( x - 6 = 56)

2x² - 12x = 112

Thus, the equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D

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Explain why the triangles are similar, and then find the values of x and y.

Answers

The values of x and y from the figure is 9 and 5 respectively

Similarity theorem of triangle

Two triangles are similar if the ratio of the similar sides is equal to a constant. From the given diagrams;

x/(8+4) = 6/8

x/12 =6/8

8x = 6 * 12

8x = 72

Divide both sides by8 to have:

8x/8 = 72/8

x = 9

Similarly;

10+y/x = 10/6

10+y/9 = 10/6

10+y/9 = 5/3

Cross multiply

3(10+y) = 5(9)

30 + 3y = 45

3y = 45-30

3y = 15

y = 5

Hence the values of x and y from the figure is 9 and 5 respectively

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Which equation gives the lines show on Graph y= 2x+4
y= -1/2x-4
y=1/2x+4
y=2x-4

Answers

the answer is the second one y=1/2x+4

Which of the following is a geometric sequence?

A. 7, 4, 1, -2, …

B. 2, 4, 6, 8, …

C. 1, 1/2, 1/4, 1/8, …

D. 1, 1, 2, 3, 5, …

Answers

Answer: C

Step-by-step explanation:

Each term is half the previous term.

The volume of a cylinder is 100. Another cylinder has twice the height but half the base radius. What is the volume of the second cylinder

Answers

Answer:

50 units³

Step-by-step explanation:

Cylinder volume formula:

V = πr²h

Given:

The first cylinder, has base radius - r and height - h. Its volume is:

V₁ = πr²h = 100

The second cylinder has:

R = r/2 and H = 2h

Its volume is:

V₂ = πR²H = π(r/2)²*(2h) = πr²h/2 = V₁/2

Substitute the value of the first cylinder:

V₂ =  V₁/2 = 100/2 = 50
Other Questions
If you are comparing two variables, one of which represents continuous data and one of which represents categorical (discrete) data, which of the following is the most appropriate statistical test? A. Simple linear regression B. Chi-squared test C. t-test Reasons why the sun is important? The triangle below is isosceles. Find the length of side x to the nearest tenth. an electron has a momentum with magnitude six times the magnitude of its classical momentum. (a) find the speed of the electron. Between them, Zillow and Trulia have a very large share of the market for online real estate listings. Real estate brokers who want to advertise their services next to online listings of houses for sale have few other choices. Zillow and Trulia have considered merging. The two firms argue that real estate agents have many ways to advertise their services beyond online listings, including mailing out advertising or placing ads in local newspapers. The CEO of Zillow was quoted in an article in the Wall Street Journal as arguing that the advertising market is "incredibly fragmented." He also said that "agents have a lot of choice in terms of where to advertise listings."Why did the CEO of Zillow avoid emphasizing the effectiveness of advertising on his site and focus instead on other ways of advertising?Because the merger would be more likely to be approved if federal regulatorsA.used a definition of the real estate advertising market that included mailing out advertising and placing ads in newspapers.B.used a definition of the real estate advertising market that focused only on mailing out advertising and placing ads in newspapers.C.determined that mailing out advertising and placing ads in newspapers are close complements for online advertisements.D.determined that mailing out advertising and placing ads in newspapers are distant substitutes for online advertisements.To evaluate a merger between Zillow and Trulia, federal regulators wouldA.interview all the parties, calculate the Herfindahl-Hirschman Index, and apply the merger standards.B.define the market, calculate the price elasticity of demand, and apply the merger standards.C.interview all the parties, calculate the price elasticity of demand, and apply the merger standards.D.define the market, calculate the Herfindahl-Hirschman Index, and apply the merger standards. creed promoted themselves as a rock band that dealt with christian themes, rather than strictly a "christian rock" band. T/F if you design a new compound that inhibits the growth of bacteria then you would call it bacteriostatic. what would you call a compound that kills the bacteria? three charged particles are placed at the corners of an equilateral triangle that has edge length 2.0 cmcm. one particle has charge 4.5 ncnc and a second has charge 9.0 ncnc.What is the third charge if the electric potential energy of the three charged particles is zero? Express your answer with the appropriate units. a mixture of two ideal gases a and b is in thermal equilibrium at 600 k. a molecule of a has one- fourth the mass of a molecule of b and the rms speed of molecules of a is 400 m/s. determine the rms speed of molecules of b. Shahia Company bought a building for $382,000 cash and the land on which it was located for $107,000 cash. The company paid transfer costs of $9,000 ($3,000 for the building and $6,000 for the land). Renovation costs on the building before it could be used were $21,000. HiPlease help on question asap if the answer is correct I'll rate you five stars a thanks and maybe even brainliest!What do you notice about the values?0.9 amps 0.03v=30 ohms.1.9amps0.07v=27.149 ohms3.1. amps 0.10v =31 ohms3.9. amps 0.12v =032.5 ohms5. amps 0.15v=33.33 ohms6.1. amps 0.19v=32.1053 ohms From each of the following pairs, choose the nuclide that is radioactive (One is known to be radioactive, the other stable.) Explain your choice 102 a 47 189 47 bMg. 2Nc 10 203 c 81 275 90 a football is kicked with a speed of 18 m/s at an angle of 65 to the horizontal. what are the respective horizontal and vertical 9. In the context of this passage, what is fair? Is this an important factor in society, both modernand ancient? Compare what you learned of Greek society from this text to your knowledge ofother ancient societies-was ancient Greece a more or less "fair" society? Cite evidence fromthis text, your own experience, and other literature, art, or history in your answer. If we put a charge in a box and enlarge the size of that box... a) the reading of the charge outside of the box will be constant. b) the electric flux, will increase. c) the electric potential will not equal zero inside the box. d) the electric field lines will decrease with distance. e) the electric potential inside of the box will be equal the flux. f) the size of the enclosed box does not matter. If and are the roots of the equation 2x^2- 7x-3 = 0,Find the values of:+^2+ ^2 Which of the following factors, when increased, will tend to cause the value of a put to decrease (all else equal)?A. The expected volatility of the underlying stockB. The price of the underlying stockC. The time to maturity.D. The strike price None of the options are correct. An angiosperm megagametophyte with 110 cells would be a highly unusual specimen because the flowering plant typically has a megagametophyte consisting of a. one pollen grain. b. a pollen tube. c. an embryo sac with eight haploid nuclei. d. microspores. e. a megasporangium and the cells within it. Let sin (60)=3/2. Enter the angle measure (0), in degrees, for cos (0)=3/2 HELP URGENTLY 1.13 suppose a new standard, the iddd-643 standard, is developed for storing numbers in a string of 16 bits. the first bit is used for the sign of the number (0 if positive and 1 if negative). the next five bits store the exponent plus the bias, and the remaining 10 bits store the mantissa. the bias is 15 and no bits are reserved for any special purposes. what is the smallest exponent that can be stored?