Find the value of g(3) for the function below g(x)=39•(1/3)
A. 13/9
B.1/27
C.1,053
D.2,197

Find The Value Of G(3) For The Function Below G(x)=39(1/3) A. 13/9B.1/27C.1,053D.2,197

Answers

Answer 1

Answer: A

Step-by-step explanation: To solve any problem where we are given a function f(x) and asked to find f(n), we replace the number n will all Xs in the function.

For this problem g(x) = 39 * (1/3)^x and we are asked to find g(3). We plug in 3 for x in g(x) and get 39*(1/3)^3. Now we just simplify.

39*1/27, 39/27, 13/9

Answer 2

The value of g(3) for the function below g(x)=39•(1/3) is A. 13/9.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

We are given a function f(x) and asked to find f(n), we replace the number n will all Xs in the function.

For this problem [tex]g(x) = 39 (1/3)^x[/tex]

We need to find g(3).

We plug in 3 for x in g(x) and get [tex]39(1/3)^3[/tex].

Now we just simplify;

39 1/27, 39/27, 13/9

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Related Questions

A bank gets an average of 12 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 4 or more customers at this bank in one hour.

Answers

Using the Poisson distribution, there is a 0.9978 = 99.78% probability that there will be 4 or more customers at this bank in one hour.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

A bank gets an average of 12 customers per hour, hence the mean is [tex]\mu = 12[/tex].

The probability that there will be 4 or more customers at this bank in one hour is:

[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]

In which:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-12}12^{0}}{(0)!} \approx 0[/tex]

[tex]P(X = 1) = \frac{e^{-12}12^{1}}{(1)!} \approx 0[/tex]

[tex]P(X = 2) = \frac{e^{-12}12^{2}}{(2)!} = 0.0004[/tex]

[tex]P(X = 3) = \frac{e^{-12}12^{3}}{(3)!} = 0.0018[/tex]

Then:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0 + 0.0004 + 0.0018 = 0.0022.

[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0022 = 0.9978[/tex]

0.9978 = 99.78% probability that there will be 4 or more customers at this bank in one hour.

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write a piecewise function defined by three equations that has a domain of all real numbers and a range of "-3

Answers

A piece-wise function that has domain of all real numbers and range of [tex][-3, \infty)[/tex] is f(x) = |x| - 3, as:

[tex]|x| - 3 = x - 3, x \geq 0[/tex]

[tex]|x| - 3 = -x - 3, x < 0[/tex]

What is a piece-wise function?

A piece-wise function is a function that has different definitions, depending on the input.

One example is the absolute value function, defined as follows:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

The function is defined for all real values, with a range of [tex][0, \infty)[/tex]. Shifting it down 3 units, it will have the desired range, as follows:

[tex]|x| - 3 = x - 3, x \geq 0[/tex]

[tex]|x| - 3 = -x - 3, x < 0[/tex]

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find the product of 3.05 and 0.07​

Answers

Answer:

0.2135

Step-by-step explanation:

When something asks to find the product, it indicates multiplication.

We are given two decimals which are: 3.05 and 0.07.

We are asked to multiply and find the product of these decimals.

Let's use the algorithm method.

                   3  .    0   5

x                 0   .    0   7

_____________________

                  2        3

          0 .    2      1    3    5

Therefore, 3.05 × 0.07 = 0.2135.

A rectangle is 6 meters long and 4 meters wide. What is the area of the rectangle?

24 cm 2
10 cm 2
48 cm 2
20 cm 2

Answers

The answer is 24 cm squared because to find the area of a rectangle you multiply the width by the height. 6 x 4= 24

Eric's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Eric $5.50 per pound, and type B coffee costs $4.40 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $762.30. How many pounds of type A coffee were used?

Answers

115.2 pounds of type A coffee were used.

What is the solution of the equation?

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

Let the number of pounds of type A coffee be x and the number of pounds of Type B coffee be y.

According to the question, the equations are,

5.50x + 4.40y = 762.30

x = 4y

So, the solution of the equation is obtained as follows:

5.50(4y) + 4.40y = 762.30

26.40y = 762.30

y = 762.30/26.40

y = 28.8 pounds

x = 4*28.8 = 115.2 pounds

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Mark the vertex and graph the axis of symmetry of the function.

f(x) = (x – 2)2 – 25

Answers

Answer:

Vertex (2 , -25)

Axis of symmetry: x = 2

Step-by-step explanation:

Vertex of parabola:

 The vertex is the highest point if the parabola open downwards and the lowest point if the parabola opens upward.

 f(x) = (x - 2)² - 25

The given quadratic function  is in vertex form.

 f(x)  = a(x - h)² + k

Here,  (h , k) is the vertex of the parabola.

 h = 2  ; k = -25

[tex]\sf \boxed{\bf Vertex (2 , -25)}[/tex]

Axis of symmetry:

 The axis of symmetry is the vertical line that divides the parabola into two equal halves and it passes through the vertex of the parabola.

Axis of symmetry: x = h

  [tex]\sf \boxed{\bf x = 2}[/tex]

If f(x)=x/4-3 and g(x)= 4x²+2x-4, find (f+g)(x).
OA. 4x²+x-7
OB.x²-12
O C. 4x²+2x+1
O D. 4x²+2x-7

Answers

Answer:

hello :

f(x)=x/4-3 and g(x)= 4x²+2x-4,

(f+g)(x).=f(x)+g(x)=x/4-3  + 4x²+2x-4,

(f+g)(x).= 4x²+(2x+x/4)-7

(f+g)(x).= 4x²+x(3+1/4) - 7......continu

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

Answers

A statement which could be true for g is that: A. g(-13) = 20.

What is a domain?

A domain can be defined as the set of all real numbers for which a particular function is completely defined.

How to determine the true statement?

Since the domain of this function is given by -20 ≤ x ≤ 5, it simply means that the value of x must between -20 and 5. Also, with a range of -5 ≤ g(x) ≤ 45, the value of x must between -5 and 45.

By extrapolating the function, we can deduce that:

g(0) = -2g(-9) = 6g(-13) = 20

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Complete Question:

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

A. g(-13) = 20

B. g(-4) = -11

C. g(7) = -1

D.g(0) = 2

f(x)=x+3
g(x) = 2x² - 4
Find (f. g)(x).

Answers

Answer:

[tex](f \cdot g)(x)[/tex] = [tex]2x^2 -1[/tex]

Step-by-step explanation:

[tex](f \cdot g)(x)[/tex], read as "f of g of x", means we have to use the function [tex]\bf g(x)[/tex] as input for the function [tex]\bf f(x)[/tex]. This means, we have to replace the [tex]x[/tex] in the definition of  [tex]f(x)[/tex] with [tex]g(x)[/tex].

[tex]f(x)=x+3[/tex]

[tex]g(x) = 2x^2 - 4[/tex]

∴ [tex](f \cdot g)(x) = f(g(x))[/tex]

                 ⇒ [tex]g(x) + 3[/tex]

                 ⇒ [tex](2x^2 - 4) + 3[/tex]

                 ⇒ [tex]2x^2 -1[/tex]

The slope of the line is 8. Write the point-slope equation for the line using
the coordinates of the labeled point.

Answers

The point-slope equation of the line is: y - 2 = 8(x - 2).

How to Write the Point-Slope Equation of a Line?

The point-slope equation is: y - b = m(x - a), where:

m = slope(a, b) is a point.

Using the coordinates of the point shown in the graph, substitute (a, b) = (2, 2) and m = 8 into y - b = m(x - a):

y - 2 = 8(x - 2)

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The mean date is 1985.67 and standard deviation 9.2 is greater than 2005?

Answers

Answer:

Step-by-step explanation:

Use the mean and the standard deviation obtained from the last discussion and test the claim that the mean age of all books in the library is greater than 2005.

This is the last discussion:

The science portion of my library has roughly 400 books.

They are arranged, on shelves, in order of their Library of Congress

code and, within equal codes, by alphabetical order of author.

Sections Q and QA have a total of 108 books.

The bulk of the library was established in the early 1990s.

I used a deck of cards, removing the jokers and face cards, keeping

only aces (1) and "non-paints" (2 to 10). Starting from the start of

the first shelf, I would turn a card (revealing its number N) and I

would go to the Nth book. This uses ordinal numbers (1 would means the

"first" book, not a gap of 1).

The cards were shuffled sufficiently to assume that the cards have a

random order.

I sampled only the LC subsections Q and QA (therefore, not a true

sample of the entire library, as this classification is not purely

random).

Thus, I picked 21 books (the expected number being 108/5.5 = 19.6 --> 20 books)

The sampled dates of publication were (presented as an ordered set):

1967, 1968, 1969, 1975, 1979, 1983, 1984,

1984, 1985, 1989, 1990, 1990, 1991, 1991,

1991, 1991, 1992, 1992, 1992, 1997, 1999

The median date is 1990

The mean date is 1985.67

Variance = 84.93 ( Sum of (date-mean)^2 )

SQRT of variance = 9.2 (sample standard deviation)

The "sigma-one" confidence interval (containing 68% of the books), if

the sample were NOT skewed, and if the distribution were "normal"

would contain dates from "mean - 9.2" to "mean + 9.2"

Sigma-2 (95%) would have mean - 2(9.2) to mean + 2(9.2)

Sigma-3(99.7%) from "1985.67 - 3(9.2)" to "1985.67 + 3(9.2)"

1958.07 to 2012.6

There, you see one reason why the distribution is skewed (it is

possible to have books older than 1958, but it is impossible to have

book newer than 2012), but it still represents a usable model for the

library. If it applies to the entire library of 400 books, you would

expect one book (0.3% of 400) to fall outside the 3-sigma interval.

Which of the following is not a characteristic of both observational studies and experiments

Answers

Data collected about a population is not a characteristic of both observational studies and experiments.

What is an experiment?

Through experiments, two variables' cause and effect relationships are examined. This is where they differ from observations and interviews, which can only assume the existence of contexts and cannot provide evidence for them. The environment of the test subjects is managed in an experiment depending on the issue.

Three things characterize statistical experiments in general:

There are various outcomes that the experiment could produce.

In an experiment, the cause, the independent variable, is changed while the effect, the dependent variable, is measured and any unrelated factors are controlled.

It is possible to anticipate every outcome.

Chance determines how the experiment turns out.

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Michael starts a new paper company. The function fff models the company's net worth (in thousands of dollars) as a function of time (in months) after Michael starts it.

Answers

Considering the function for the net worth of the function, it is found that it will not be in debt for the first time after 6 months in month 14, at point (14,0), which is plotted on the graph.

When a company is in debt?

A company is said to be in debt if it's net worth is negative. On a graph, it is represented by the curve being below the x-axis.

From month 2 until the end of month 13, the company is in debt, hence it will not be in debt for the first time after 6 months in month 14, at point (14,0), which is plotted on the graph.

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pls can solve this question . thanks

Answers

the answer is 75

explanation: 180cm divided by 45 cm is 4, so 300cm divided by 4 is 75

Seven more than twice a number is six less than three times the same number

Answers

Answer:

13

Step-by-step explanation:

7+2x=3x-6

knowing this then you solve it

Answer: x = 13

Step-by-step explanation:

7 more = + 7

twice a number = 2*x = 2x

6 less = -6

3 times the same number = 3 * x = 3x

Putting this together we get:

2x + 7 = 3x - 6

subtract two from both sides to isolate x

(-2x) + 2x + 7 = 3x - 6 (-2x)

7 = x - 6

add 6 to both sides to get your answer

7 (+6) = x - 6 (+6)

13 = x

or

x = 13

Graph the following inequality. y ≤ 3x +5 Use the graphing tool to graph the inequality Click to enlarge graph​

Answers

Please see the graph below

The height of a door is 1.5 feet longer than its width, and its front area is 1516.5 square feet. Find the width and height of the door.

Answers

Answer:

For an exact answer the width would be the square root of 1011 and the length would be 1.5x the square root of 1011.

Step-by-step explanation:

A = lw

1516.5 = w(1.5)w

1516.5 = 1.5w^2  Divide both sides by 1.5

1011 = w^2  Take the square root of each side

Square root of 1011 = w.

Convert the following equation into slope-intercept form.

7x+y = 7

y = -7x+?

Answers

Answer:

y = - 7x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

7x + y = 7 ( subtract 7x from both sides )

y = - 7x + 7 ← in slope- intercept form

Which is the equation of an asymptote of the hyperbola whose equation is [tex]\frac{(x-2)x^{2} }{4} -\frac{(y-1)x^{2} }{36}[/tex]= 1?


y = −3x − 5

y = −3x − 7

y = 3x − 5

y = 3x + 7

Answers

The equation of the asymptote is y = 3x - 5. The correct answer is option C

What is Asymptote of an Hyperbola ?

The distance from a point and the distance to a line in hyperbola is known as asymptote. The general equation is [tex]x^{2}/ a^{2} - y^{2}/b^{2} = 1[/tex]

From the given equation of hyperbola, which is

[tex]\frac{(x - 2)^{2}}{4}[/tex]  - [tex]\frac{(y - 1)^{2} }{36}[/tex] = 1

The center (h , k) of the hyperbola = C(2, 1)

a = 2

b = 6

Where C = [tex]\sqrt{a^{2} + b^{2} }[/tex]

C = [tex]\sqrt{4 + 36}[/tex]

C = [tex]\sqrt{40}[/tex]

C = [tex]2\sqrt{10}[/tex]

The equation of the asymptote will be y - K = +/-(b/a)(x - h)

That is,

y - 1 = +/-(6/2)(x - 2)

y - 1 = +/-3(x - 2)

y - 1 = +/-3x - 6

y = +/-3x - 6 + 1

y = +/- 3x - 5

Therefore, the equation of the asymptote is y = 3x - 5.

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If the 1st and 10th terms of geometric sequence are 4 and 100, fin the nth term of the sequence.

Answers

Answer:

a = 4 first term, r = ?, T10 = 100.Tn = ar^n - 1 formula for g.pT10 = 4r^ 10 - 1100 = 4r^9Divide both side by 4100/4 = 4/4r^925 = r^9 take the 9th root of both side 9√25 = 9√r^9r = 9√25To find the nth term Since Tn = ar^n - 1

Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

Answers

Answer:

2.4536 years

Step-by-step explanation:

compound formula:

A=P*(1+r/n)^nt

A = 6000

P = 5000

r = rate

n = 4 times per year compounded

t = time in years

6000 = 5000(1 + .075/4)^4t

divide both sides by 5000

1.2 = (1.01875)^4t

log both sides

log(1.2) = 4t * log(1.01875)

solve for t

t = 2.4537 years

A meteorologist found that the rainfall in Vindale during the first half of the month was 1/2 of an inch. At the end of the month, she found that the total rainfall for the month was 2/3 of an inch. How much did it rain in the second half of the month?

Answers

The quantity of rainfall that fell in the second half of the month is; ¹/₆ of an inch.

How to solve fraction word problems?

We are given;

Rainfall during first half of the month = 1/2 inch

Total rainfall for the month = 2/3 inch

Now, to find the rainfall for the second half of the month, we just subtract the one for the first half from the one for the month to get;

Rainfall in second half of the month = ²/₃ - ¹/₂ = ¹/₆ inches

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The graph below shows the price of different numbers of mats below at a store:

Which equation can be used to determine p, the cost of b mats?

P= 10.50+b
B= 10.50+p
B= 10.50p
P=10.50b

Answers

Answer:

The answer to your question is p = 10.50b

Step-by-step explanation:

Since you want to find p, you're looking for an equation that has

p = <something>

The last selection has this form

p = 10.50b

I hope this helps and have a good day!

For A (1, –1), B (–1, 3), and C (4, –1), find a possible location of a fourth point, D, so that a parallelogram is formed using A, B, C, D in any order as vertices.

Answers

The possible coordinates for the vertex D of the parallelogram could be (-4, 3)

It is given that A(1, –1), B (–1, 3), and C (4, –1) are the three vertices of the parallelogram.

Let us assume that the vertices are in the order A, C, B, and D where the coordinates of D are (a, b).

In this scenario, if we join AB and CD, they will become the diagonals of the parallelogram ABCD.

According to the properties of a parallelogram, diagonals bisect each other.

Hence, mid-point of AB = mid-point of CD

Now, according to the mid-point theorem, if mid-point of AB is given as (x,y), then,

x = (x₁ + x₂)/2 and y = (y₁ + y₂)/2

Here, for AC,

x₁ = 1, y₁ = -1

x₂ = -1, y₂ = 3

Then, x = ( 1 - 1)/2 and y = (-1 + 3)/2

(x, y) ≡ (0, 1)  ............. (1)

Since (x, y) is also the mid-point of CD, we also have,

x₁ = 4, y₁ = -1

x₂ = a, y₂ = b

Then, x = (4 + a)/2 and y = (-1 + b)/2

(x, y) ≡ ((4 + a)/2, (-1 + b)/2) ................... (2)

From (1) and (2),

(4+a)/2 = 0 and (-1+b)/2 = 1

4+a = 0 and (-1+b) = 2

a = -4 and b = 3

Hence, the fourth vertex D of the parallelogram can be possibly located at (-4, 3)

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How long do you need to invest your money in an account earning an annual interest rate of 4.252% compounded monthly so that your investment grows from $1,018.40 to $10,413.00 over that period of time?

Answers

The time needed for the investment to become $10,413 is 54.7 years

How long before $1,018.40 grows to $10,413.00?

Number of years = (In FV / PV) / r  

FV = future valuePV = present valuer = interest rate

r = 4.252/12 = 0.354%

(In 10, 413 / 1,018.40) / 0.00354 = 656.73 months = 54.7 years

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The figure below shows a triangular piece of cloth: B 35 8 in. What is the length of the portion BC of the cloth? 08 cos 35° sin35° 8 cos 35° 08 sin 35°

Answers

From the calculation, we can see that /BC/ is 8 sin 35. Option D

What is the length of the portion BC of the cloth?

We can see the image of the triangular piece of cloth as shown in the image. This shows that we have to approach the problem by the use of the trigonometric ratios.

Hence;

/AC/ = 8 in

/BC/ = x

<A = 35 degrees

Sin 35 = /BC//8

/BC/ = 8 sin 35

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Which expression is equivalent to the following complex fraction?

1 minus StartFraction 1 Over x EndFraction divided by 2

Answers

The equivalent expression of [tex]1 - \frac{1}{x} \div 2[/tex] is [tex]\frac{2x - 1}{2x}[/tex]

How to determine the equivalent expression?

The expression is given as:

1 minus StartFraction 1 Over x EndFraction divided by 2

Rewrite properly as:

[tex]1 - \frac{1}{x} \div 2[/tex]

Express the division as product

[tex]1 - \frac{1}{x} \times \frac 12[/tex]

Evaluate the product

[tex]1 - \frac{1}{2x}[/tex]

Take the LCM

[tex]\frac{2x - 1}{2x}[/tex]

Hence, the equivalent expression of [tex]1 - \frac{1}{x} \div 2[/tex] is [tex]\frac{2x - 1}{2x}[/tex]

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According to the Rational Root Theorem, which statement about f(x) = 12x3 – 5x2 + 6x + 9 is true?
Any rational root of f(x) is a multiple of 12 divided by a multiple of 9.
Any rational root of f(x) is a multiple of 9 divided by a multiple of 12.
Any rational root of f(x) is a factor of 12 divided by a factor of 9.
Any rational root of f(x) is a factor of 9 divided by a factor of 12.

Answers

The complete statement is (d) Any rational root of f(x) is a factor of 9 divided by a factor of 12.

How to determine the rational roots?

The polynomial is given as:

12x^3 - 5x^2 + 6x + 9

The first term in the above equation is 12 i.e. 12x^3, while the last term is 9

To determine the possible rational roots, we divide the factors of the last term i.e. 12 by the factors of the first term i.e. 12

Hence, the complete statement is (d) Any rational root of f(x) is a factor of 9 divided by a factor of 12.

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Answer:

D

Step-by-step explanation:

I took the test

Please help I don’t understand this can someone help me

Answers

Answer:

Step-by-step explanation:

Okay, so first of all, when a slope is negative, the line goes down from left to right, not up from left to right. Then, plot the Y intercept as -2. Finally, either go up 2 and left 3 or down 2 and right 3.

Answer:

Graph attached.

Step-by-step explanation:

As we have been given the slope and the y-intercept, we can create a linear equation using the slope-intercept form.

Slope-intercept form of a linear equation:

[tex]y=mx+b[/tex]

where:

m is the slopeb is the y-intercept

Substitute the given values into the formula to create an equation for the line:

[tex]\implies y=-\dfrac{2}{3}x-2[/tex]

Now we have an equation for the line, find at least two points on the line by inputting values of x into the found equation:

[tex]x=0 \implies y=-\dfrac{2}{3}(0)-2=-2 \implies (0,-2)[/tex]

[tex]x=3 \implies y=-\dfrac{2}{3}(3)-2=-4 \implies (3,-4)[/tex]

[tex]x=-6 \implies y=-\dfrac{2}{3}(-6)-2=2 \implies (-6,2)[/tex]

Plot the found points and draw a straight line through them (see attachment).

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Graph line y=-1/5x-5 with y and x points

Answers

Answer:

Please see picture below.

Step-by-step explanation:

Other Questions
use the ratio test to determine the convergence or divergence of the series. (if you need to use or , enter infinity or infinity, respectively.) [infinity] n! 7n n = 0 a) converges. b) diverges. c) inconclusive An aqueous solution is 6.00 % by mass ethanol, CH3CH2OH, and has a density of 0.988 g/mL. The mole fraction of ethanol in the solution is This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $ an oscilloscope cannot measure or display the peak-to-peak values of an ac waveform.T/F create a program in C++ based on the following.double avg(int sum, int count) // returns the average of a sum of count numbersvoid avg(int sum, int count, double& average) // modifies average with the average of a sum of count numbersbool isOdd(int value) // returns true if value is odd, false if it is notbool isSame(int firstNum, int secondNum, int thirdNum, int compareNum) // returns true if compareNum is the same as firstNum, secondNum, OR thirdNum - this function calls the isSame function defined belowbool isSame(int number, int compareNum) // returns true if number is the same as compareNum did you get a tax refund last year? if you did, you have experienced redistribution. what would an anthropologist consider this to be? The ski slopes at Bluebird Mountain make use of tow ropes to transport snowboarders and skiers to the summit of the hill. One of the tow ropes is powered by a 22-kW motor which pulls skiers along an icy incline of 14 at a constant speed. Suppose that 18 skiers with an average mass of 48 kg hold onto the rope and suppose that the motor operates at full power. how does an atom's electronegativity relate to its ability to become oxidized? The journal of the american medical association reported on an experiment intended to see if the drug prozac could be used as a treatment for the eating disorder anorexia nervosa. the subjects, women being treated for anorexia, were randomlydivided into two groups. of the 49 who received prozac, 35 were deemed healthy a year later, compared to 32 of the 44 whogo the placebo.a) are the conditions for inference satisfied? explain.b) find a 95% confidence interval for the difference in outcomes.c) use your confidence interval to explain whether you think prozac is effective.d) suppose instead of constructing an interval, you conduct a hypothesis test. what hypotheses should you test?e) state a conclusion based on your confidence interval.f) if that conclusion is wrong, which type of error did you make? explain. what is not an advantage of using job rotation in a complex business environment' The chief executive in Cuba, Brazil, and Mexicos governments is a lions runs 62.4 m to the left, then turns and walks back to the right 32.8 m. if right is defined as the positive direction, what are the lions distance and displacement? express the sum in closed form (without using a summation symbol and without using an ellipsis ). n (n k) 1/8^kk = 0 onflicts of interest between stockholders and bondholders are known as: multiple choice underwriting costs. financial distress costs. trustee costs. dealer costs. agency costs. why do consumers often rely on friends advice when shopping for experience goods Creating groups based on the outcome of a coin toss leads people to favor their own new group when dividing any rewards. This best illustratesA.outgroup homogeneity.B.social scripts.C.the just-world phenomenon.D.ingroup bias. one way in which the great leap forward and the four modernizations are similar is that each was an attempt to: complete the following reaction sequence: indicate regiochemical/stereochemical details as relevant. ozonolysis the volume of a cube is decreasing at a rate of 240mm3/s. what is the rate of change of the cubes surface area when its edges are 40mm long? which of the following refers to a line of questioning in qualitative interviews? a. mountain-and-valley b. tree-and-branch c. river-and-ocean d. sun-and-moon