In a test of the effectiveness of garlic for lowering cholesterol, 48 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before−after) in their levels of LDL cholesterol (in mg/dL) have a mean of 5.3 and a standard deviation of 19.6. Construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol?

In A Test Of The Effectiveness Of Garlic For Lowering Cholesterol, 48 Subjects Were Treated With Garlic

Answers

Answer 1

1) The 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment is 5.3 ± 5.6.

2) Regarding the effectiveness of garlic in reducing LDL cholesterol, the confidence interval suggests A. The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

What is the confidence interval estimate?

The confidence interval estimate shows us the mean estimate plus or minus the margin of error (or variation in the estimate).

On the other hand, the margin of error is the difference between the actual and projected results in a random sample.

The number of subjects treated with garlic, n = 48

The mean changes in LDL cholesterol level = 5.3

The standard deviation = 19.6

The 95% confidence interval gives a Z-score of 1.96

The margin of error = Z-score x standard deviation/√n

= 1.96 x 19.6/√48

= 1.96 x 19.6/6.9

= 1.96 x 2.84

= 5.6

Lower Limit = Mean - Margin of Error

= 5.3 - 5.6

= -0.3

Upper Limit = Mean + Margin of Error

= 5.3 + 5.6

= 10.9

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Question Completion with Answer Options:

2. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol?

A.The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

B.The confidence interval limits do not contain0, suggesting that the garlic treatment did affect the LDL cholesterol levels.

C.The confidence interval limits do not contain​0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

D.The confidence interval limits contain ​0, suggesting that the garlic treatment did affect the LDL cholesterol levels.


Related Questions

(30 points) Solve for the missing side of the triangle. Round to the hundredths place if needed.

Answers

Answer:

[tex]6 \sqrt{6} [/tex]

Step-by-step explanation:

The square value of hypotenuse is equal to the square value of sum of the two legs:

[tex] {15}^{2} + {x}^{2} = {21}^{2} [/tex]

225 + x^2 = 441 subtract 225 from both sides

x^2 = 216 find the root of both sides

x = 6√(6)

A square paddock has an area of 7140.25m².
How long is each side?

Answers

Answer:

it's 84.5 m ...................

What is the opposite of the number −12?
A(-1/12
B(1/12
C(0
D(12

Answers

Answer: D(12)

Step-by-step explanation: To find the opposite it the number you would do -12= -12 x -1 = 12

If the cost of a car is $6,345.00, and the tax rate is 6%, how much is the total cost of the car?

Answers

Given:

Cost of Car is $6,345

Tax rate is 6%

[tex]\begin{gathered} \text{Tax Amount=6345}\times\frac{6}{100} \\ \text{Tax Amount= \$380.70} \end{gathered}[/tex][tex]\begin{gathered} \text{Total cost of the car =6345+380.70} \\ \text{Total cost of the car = \$6725.70} \end{gathered}[/tex]

what are the terms in 7h+3

Answers

Input data

7h + 3

Procedure

A term is a single mathematical expression.

3 = is a single term.

It is simply a numerical term called a constant.

7h = is also a single term. , The coefficient of the first term is 7

What is the solution to the equation below? Round your answer to two decimal places.ex = 5.9A.x = 124.50B.x = 1.77C.x = 365.04D.x = 0.77

Answers

We have the next given equation:

[tex]e^x=5.9[/tex]

Now, we can solve for x using the exponent's properties:

Add both sides ln:

[tex]\ln e^x=\ln5.9[/tex]

With the ln we can take down the exponent and simplify ln*e = 1.

Hence,

[tex]\begin{gathered} x=\ln(5.9) \\ x=1.77 \end{gathered}[/tex]

Hence, the correct answer is option B.

i inserted a picture of the question state whether it’s a b c or d please don’t ask tons of questions yes i’m following

Answers

The possible values for any probability are between zero and one. With this in mind we conclude that A, B, C and E are allowed probabilities

solve the quadratic equation below.3x^2-9=0

Answers

[tex]\begin{gathered} 3x^2-9=0 \\ 3x^2-9+9=0+9 \\ 3x^2=9 \\ \frac{3x^2}{3}=\frac{9}{3} \\ x^2=3 \\ x=\sqrt{3},\: x=-\sqrt{3} \end{gathered}[/tex]

Sally started on the 12th floor. She walked up 4 flights. Then she went down 2 flights. Then she ran up 8 flights of stairs. a) Write an ADDITION expression b) What floor did she end up on? SHOW ALL WORK!

Answers

1) Gathering the data

Initial point 12th floor

2) She started on 12th floor and walked up 4 flights of stairs, assuming from each floor to another we have just 1 flight of stair. And we're using an addition expression, Hence, we can say:

12 +4-2+8=

16 +6

22

She ended up on the 22th floor

i need some help list the integers in the set

Answers

Solution

The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero. {...,−5,−4,−3,−2,−1,0,1,2,3,4,5,...} The set of integers is sometimes written J or Z for short. The sum, product, and difference of any two integers is also an integer.

The whole numbers are set of real numbers that includes zero and all positive counting numbers. Whereas, excludes fractions, negative integers, fractions, and decimals. All the whole numbers are also integers, because integers include all the positive and negative numbers

The integers are real numbers

Therefore the numbers are list of integers

[tex]-8,9,\frac{0}{7},\frac{12}{4}[/tex]

Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here isthe distribution of the students:

Answers

Solution:

a) 0.38

b)0.36

c)0.33

Analysis:

a)Studying a language other than English: In this case, we add all probabilities of the chart, except None (Because that is people don't study a la

For the function f(x) = 6e^x, calculate the following function values:f(-3) = f(-1)=f(0)= f(1)= f(3)=

Answers

Consider the given function,

[tex]f(x)=6e^x[/tex]

Solve for x=-3 as,

[tex]\begin{gathered} f(-3)=6e^{-3} \\ f(-3)=6(0.049787) \\ f(-3)=0.2987 \end{gathered}[/tex]

Thus, the value of f(-3) is 0.2987 approximately.

Solve for x=-1 as,

[tex]\begin{gathered} f(-1)=6e^{-1} \\ f(-1)=6(0.367879) \\ f(-1)=2.2073 \end{gathered}[/tex]

Thus, the value of f(-1) is 2.2073 approximately.

Solve for x=0 as,

[tex]\begin{gathered} f(0)=6e^0 \\ f(0)=6(1) \\ f(0)=6 \end{gathered}[/tex]

Thus, the value of f(0) is 6 .

Solve for x=1 as,

[tex]\begin{gathered} f(1)=6e^1 \\ f(1)=6(2.71828) \\ f(1)=16.3097 \end{gathered}[/tex]

Thus, the value of f(1) is 16.3097 approximately.

Solve for x=3 as,

[tex]\begin{gathered} f(3)=6e^3 \\ f(3)=6(20.0855) \\ f(3)=120.5132 \end{gathered}[/tex]

Thus, the value of f(3) is 120.5132 approximately.

Determine which of the following lines, if any, are perpendicular • Line A passes through (2,7) and (-1,10) • Line B passes through (-4,7) and (-1,6)• Line C passed through (6,5) and (7,9)

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Line A:

point 1 (2,7)

point 2 (-1,10)

Line B:

point 1 (-4,7)

point 2 (-1,6)

Line C:

point 1 (6,5)

point 2 (7,9)

Step 02:

perpendicular lines:

slope of the perpendicular line, m’

m' = - 1 / m

Line A:

slope:

[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\frac{10-7}{-1-2}=\frac{3}{-3}=-1[/tex]

Line B:

slope:

[tex]m=\frac{y2-y1}{x2-x1}=\frac{6-7}{-1-(-4)}=\frac{-1}{-1+4}=\frac{-1}{3}[/tex]

Line C:

slope:

[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\frac{9-5}{7-6}=\frac{4}{1}=4[/tex]

m' = - 1 / m ===> none of the slopes meet the condition

The answer is:

there are no perpendicular lines

Trapezoid W'X'Y'Z' is the image of trapezoid W XYZ under a dilation through point C What scale factor was used in the dilation?

Answers

The scale factor is basically by what we need to multiply the original to get the dilated one.

Simple.

We can see that the original one is Trapezoid WXYZ and the dilated one is W'X'Y'Z'.

THe dilated trapezoid is definitely bigger than original. So the scale factor should be larger than 1.

One side of original is "6" and the corresponding side of dilated trapezoid is "14".

So, what we have to do to "6", to get "14"??

This is the scale factor!

To get 14, we have to multiply 6 with, suppose, "x", so:

[tex]\begin{gathered} 6x=14 \\ x=\frac{14}{6} \\ x=\frac{7}{3} \end{gathered}[/tex]

Hence, SF is 7/3

Hello! I need some help with this homework question, please? The question is posted in the image below. Q6

Answers

Step 1

Given;

[tex]g(x)=3x^2-5x-2[/tex]

Required; To find the zeroes by factoring

Step 2

Find two factors that when added gives -5x and when multiplied give -6x

[tex]\begin{gathered} \text{These factors are;} \\ -6x\text{ and x} \end{gathered}[/tex][tex]\begin{gathered} -6x\times x=-6x^2 \\ -6x+x=-5x \end{gathered}[/tex]

Factoring we have and replacing -5x with -6x and x we have

[tex]\begin{gathered} 3x^2-6x+x-2=0 \\ (3x^2-6x)+(x-2)_{}=0 \\ 3x(x-2)+1(x-2)=0 \\ (3x+1)(x-2)=0 \\ 3x+1=0\text{ or x-2=0} \\ x=-\frac{1}{3},2 \\ \text{The z}eroes\text{ are, x=-}\frac{1}{3},2 \end{gathered}[/tex]

Graphically the x-intercepts are;

The x-intercepts are;-1/3,2

Hence, the answer is the zeroes and x-intercepts are the same, they are;

[tex]-\frac{1}{3},2[/tex]

A population of values has a normal distribution with u = 203.6 and o = 35.5. You intend to draw a randomsample of size n = 16.Find the probability that a single randomly selected value is greater than 231.1.PIX > 231.1) =Find the probability that a sample of size n = 16 is randomly selected with a mean greater than 231.1.P(M > 231.1) =Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or Z-scores rounded to 3 decimal places are accepted.

Answers

Part 1:

The probability that a single randomly selected value is greater than 231.1 equals one minus the probability that it is less or equal to 231.1:

P(x > 231.1) = 1 - P(x ≤ 231.1)

Now, to find P(x ≤ 231.1), we can transform x in its correspondent z-score, and then use a z-score table to find the probability:

x ≤ 231.1 => z ≤ (231.1 - 203.6)/35.5, because z = (x - mean)/(standard deviation)

z ≤ 0.775 (rounding to 3 decimal places)

Then we have:

P(x ≤ 231.1) = P( z ≤ 0.775)

Now, using a table, we find:

P( z ≤ 0.775) ≅ 0.7808

Then, we have:

P(x > 231.1) ≅ 1 - 0.7808 = 0.2192

Therefore, the asked probability is approximately 0.2192.

Part 2

For the next part, since we will select a sample out of other samples with size n = 16, we need to use the formula:

z = (x - mean)/(standard deviation/√n)

Now, x represents the mean of the selected sample, which we want to be greater than 231.1. Then, we have:

z = (231.1 - 203.6)/(35.5/√16) = 27.5/(35.5/4) = 3.099

P(x > 231.1) = 1 - P(x ≤ 231.1) = 1 - P(x ≤ 231.1) = 1 - P( z ≤ 3.099) = 1 - 0.9990 = 0.0010

Therefore, the asked probability is approximately 0.0010.

Suppose that 27 percent of American households still have a traditional phone landline. In a sample of thirteen households, find the probability that: (a)No families have a phone landline. (Round your answer to 4 decimal places.) (b)At least one family has a phone landline. (Round your answer to 4 decimal places.) (c)At least eight families have a phone landline.

Answers

Answer:

(a) P = 0.0167

(b) P = 0.9833

(c) P = 0.0093

Explanation:

To answer these questions, we will use the binomial distribution because we have n identical events (13 households) with a probability p of success (27% still have a traditional phone landline). So, the probability that x families has a traditional phone landline can be calculated as

[tex]\begin{gathered} P(x)=nCx\cdot p^x\cdot(1-p)^x \\ \\ \text{ Where nCx = }\frac{n!}{x!(n-x)!} \end{gathered}[/tex]

Replacing n = 13 and p = 27% = 0.27, we get:

[tex]P(x)=13Cx\cdot0.27^x\cdot(1-0.27)^x[/tex]

Part (a)

Then, the probability that no families have a phone landline can be calculated by replacing x = 0, so

[tex]P(0)=13C0\cdot0.27^0\cdot(1-0.27)^{13-0}=0.0167[/tex]

Part (b)

The probability that at least one family has a phone landline can be calculated as

[tex]\begin{gathered} P(x\ge1)=1-P(0) \\ P(x\ge1)=1-0.167 \\ P(x\ge1)=0.9833 \end{gathered}[/tex]

Part (c)

The probability that at least eight families have a phone landline can be calculated as

[tex]P(x\ge8)=P(8)+P(9)+P(10)+P(11)+P(12)+P(13)[/tex]

So, each probability is equal to

[tex]\begin{gathered} P(8)=13C8\cdot0.27^8\cdot(1-0.27)^{13-8}=0.0075 \\ P(9)=13C9\cdot0.27^9\cdot(1-0.27)^{13-9}=0.0015 \\ P(10)=13C10\cdot0.27^{10}\cdot(1-0.27)^{13-10}=0.0002 \\ P(11)=13C11\cdot0.27^{11}\cdot(1-0.27)^{13-11}=0.00002 \\ P(12)=13C12\cdot0.27^{12}\cdot(1-0.27)^{13-12}=0.000001 \\ P(13)=13C13\cdot0.27^{13}\cdot(1-0.27)^{13-13}=0.00000004 \end{gathered}[/tex]

Then, the probability is equal to

P(x≥8) = 0.0093

Therefore, the answers are

(a) P = 0.0167

(b) P = 0.9833

(c) P = 0.0093

Using the rotation R, can you create a function R(ABCD) that is equivalent to the reflection of ABCD across both the x-axis and y-axis?

Answers

The reflection over the x-axis is given by:

[tex]R(x,y)\to(-x,y)[/tex]

And the reflection over the y-axis is given by:

[tex]R(x,y)\to(x,-y)[/tex]

Thus, a function that is equivalent to the reflection of ABCD across both axis would be:

[tex]R(x,y)\to(-x,-y)[/tex]

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS!!!!!!

Jimmy ran 20 meters west
from home and then turned
north to jog 25 meters. Jimmy
ran 45 meters, but could have
arrived at the same point by in
a straight line. How many
meters could he have using a
line distance?

A. 3.5 meters
B. 7 meters
C. 32 meters
D. 45 meters

Answers

Answer:

32 meters

Step-by-step explanation:

If Jimmy ran straight from his house, the answer wouldnt be 45 because thats what he did originally when he ran a longer route from his home. 3.5 and 7 meters are too short because he ran at least 25 based off of when he turned from the West. 32 is the only reasonable answer because it would be a shorter distance than 45 meters but longer than 25 because of the route he takes in a straight line.

Answer:

here is the answer to your question

hope you get it well

Mr. Alvarez is laying square paver blocks in sections in rows that look like steps.Section 1 has 3 rows that look like steps, the section is 6 blocks wide, and the bottom step is 8 blocks long. Section 2 has 4 rows that look like steps, the Section is 8 blocks wide, and the bottom step is 10 blocks long. Each Section after that is 2 blocks wider and 2 blocks longer.Drag the numbers to complete the table. Numbers may be used once, more than once, or not at all.

Answers

12

14

36 blocks

56 blocks

108 blocks

Explanation:

The length of section 1 = 8

The length increases by 2 uits as the section increases

Section 2 length of block = length of section 1 + 2 =

= 8 + 2

length of block = 10

Section 3 length of block = length of section 2 + 2

= 10 + 2

length of block = 12

Section 4 length of block = length of section 3 + 2

= 12 + 2

length of section = 14

Number of blocks needed:

if the blocks are counted,

For section 1 there are 6 rows . So we count the total number of blocks on each of them

= 4 + 4 + 6 + 6 + 8 + 8

Section 1 = 36 blocks

For section 2, we count the number of blocks on each row

= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10

section 2 = 56 blocks

For sectoion 3: The length and width increases by 2 respectively

previous length + 2 = 10 + 2 = 12

Due to the increase we would have two length of 12

= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 = 80

Already given = 80

For section 4: The length and width increases by 2 respectively

previous length + 2 = 12 + 2 = 14

The increase causes an addition of two length of 14 blocks

Total blocks = 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 + 14 + 14

Total blocks for Section 4 = 108

Need help with is math.

Answers

For the given polynomial the roots can't have multiplicity, and the polynomial is:

p(x) = (x - 2)*(x - 3)*(x - 5).

How to find the polynomial?

Here we know that we have a cubic polynomial (of degree 3) with the following zeros:

2, 3, and 5.

Can any of the roots have multiplicity?

No, because a cubic polynomial can have at maximum 3 zeroes, and here we already have 3.

Now let's get the polynomial

Remember that a cubic polynomial with zeros a, b, and c can be written as:

p(x) = (x - a)*(x - b)*(x - c)

Then the polynomial in this case is:

p(x) = (x - 2)*(x - 3)*(x - 5).

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Question 2 of 10The one-to-one functions g and h are defined as follows.g={(-8, 6), (-6, 7), (-1, 1), (0, -8)}h(x)=3x-8Find the following.g-¹(-8)=h-¹(x) =(hoh− ¹)(-5) =

Answers

Answer: We have to find three unknown asked quantities, before we could do that we must find the g(x) from the coordinate points:

[tex]\begin{gathered} g=\left\{\left(-8,6\right),(-6,7),(-1,1),(0,-8)\right\}\Rightarrow(x,y) \\ \\ \text{ Is a tabular function} \\ \end{gathered}[/tex]

The answers are as follows:

[tex]\begin{gathered} g^{-1}(-8)=0\text{ }\Rightarrow\text{ Because: }(0,-8) \\ \\ \\ h^{-1}(x)=\frac{x}{3}+\frac{8}{3} \\ \\ \\ \text{ Because:} \\ \\ h(x)=3x-8\Rightarrow\text{ switch }x\text{ and x} \\ \\ x=3h-8 \\ \\ \\ \\ \text{ Solve for }h \\ \\ \\ h=h^{-1}(x)=\frac{x}{3}+\frac{8}{3} \end{gathered}[/tex]

The last answer is:

[tex]\begin{gathered} (h\text{ }\circ\text{ }h^{-1})(-5) \\ \\ \text{ Can also be written as:} \\ \\ h[h^{-1}(x)]\text{ evaluated at -5} \\ \\ h(x)=3x-8 \\ \\ h^{-1}(x)=\frac{x}{3}+\frac{8}{3} \\ \\ \\ \therefore\Rightarrow \\ \\ \\ h[h^{-1}(x)]=3[\frac{x}{3}+\frac{8}{3}]-8=x+8-8=x \\ \\ \\ \\ h[h^{-1}(x)]=x \\ \\ \\ \\ h[h^{-1}(-5)]=-5 \end{gathered}[/tex]

Solve for x(2x+3)(3x-2)=(3x+3)(2x-2)

Answers

To solve for x, we need to apply distributive property as:

[tex]\begin{gathered} \left(2x+3\right)\left(3x-2\right)=\left(3x+3\right)\left(2x-2\right)​ \\ 2x\cdot3x+2x\cdot(-2)+3\cdot3x+3\cdot(-2)=3x\cdot2x+3x(-2)+3\cdot2x+3\cdot(-2) \\ 6x^2-4x+9x-6=6x^2-6x+6x-6 \\ 6x^2+5x-6=6x^2-6 \\ 6x^2+5x-6+6=6x^2-6+6 \\ 6x^2+5x=6x^2 \\ 6x^2+5x-6x^2=6x^2-6x^2 \\ 5x=0 \\ x=0 \end{gathered}[/tex]

Answer: x = 0

Mary Anne wants the professor to build a ramp to make it easier to get things into the cook hut. The ramp has to rise 2 feet and will have anangle of 12 degrees with the ground.Calculate how far out from the hut the ramp will go. Round to the nearest 1 decimal. _____What length of timbers will be needed to build the ramp (how long is the distance along the ramp) Round to the nearest 1 decimal. _____

Answers

The next figure illustrates the problem

x is computed as follows:

tan(12°) = opposite/adjacent

tan(12°) = 2/x

x = 2/tan(12°)

x = 9.4 ft

y is computed as follows:

sin(12°) = opposite/hypotenuse

sin(12°) = 2/y

y = 2/sin(12°)

y = 9.6 ft

Austin and carly despoit 500.00 into a savings account which earns 1% interest compounded monthly they want to use the money in the account to go on a trip in 2 years how much will they be able to spend

Answers

EXPLANATION

Let's see the facts:

Austin and Carly deposit: $500

Interest rate= 1%

Compounding period = monthly

Total number of years = 2

Given the Compounding Interest Rate formula:

[tex]\text{Compound amount = P (1+r/n)\textasciicircum{}nt}[/tex]

n is the compounding period

t is the number of years

r is te interest rate in decimal form

Replacing the given values will give us:

[tex]\text{Compound amount = 500 (1+}\frac{0.01}{12})^{12\cdot2}[/tex]

Solving the power:

[tex]\text{Compound amount = 500 }\cdot1.020192843[/tex][tex]\text{Compound amount = \$510.09}[/tex]

Answer: Austin and Carly will be able to spend $510.09.

Identify the property of equality that justifies the missing step to solve the given equation.Equation3x + (1 - 8) = 124r-I8 = 12StepsOriginal equationAssociative property of addition4r= 20r=5Division property of equalitya. subtraction property of equalityb. addition property of equalityc. division property of equalityd. multiplication property of equality

Answers

From the attached image;

[tex]4x-8=12[/tex]

The next step is to add 8 to both sides of the equation to remove -8.

[tex]\begin{gathered} 4x-8+8=12+8 \\ 4x=20 \end{gathered}[/tex]

Since we added to the equation.

The step is an addition property of equality

Hi, can you help me to solve this problem, please!!

Answers

In this problem, we have a vertical parabola open downward

that means

the vertex represents a maximum

looking at the graph

the maximum has coordinates (1,9)

therefore

the vertex is (1,9)

perpendicular lines homework

Answers

[tex]We\text{ have to find the slope of the lines, if the product of the slopes is -1, then they are perpendicular!}[/tex][tex]\begin{gathered} m_{AC}=\frac{7-1}{5-(-2)} \\ m_{AC}=\frac{6}{7} \\ \\ \\ m_{BC}=\frac{4-(-3)}{-3-3} \\ m_{BC}=\frac{7}{-6}=-\frac{7}{6} \end{gathered}[/tex][tex]\begin{gathered} m_{AC}\cdot m_{BD}=\frac{6}{7}\times(-\frac{7}{6}) \\ =-1 \\ \\ \text{ Thus the lines are perpendicular} \end{gathered}[/tex]

PLEASE ANSWER ASAP ! Thanks :)

Answers

The inverse function table of the function is given by the image at the end of the answer.

How to calculate the inverse function?

A function y = f(x) is composed by the following set of cartesian points:

(x,y).

In the inverse function, the input of the function represented by x and the output of the function represented by y are exchanged, meaning that the coordinate set is given by the following rule:

Thus, the points that will belong to the inverse function table are given as follows:

x = -8, f^(-1)(x) = -2, as the standard function has x = -2 and f(x) = -8.x = -4.5, f^(-1)(x) = -1, as the standard function has x = -1 and f(x) = -4.5.x = -4, f^(-1)(x) = 0, as the standard function has x = 0 and f(x) = -4.x = 0, f^(-1)(x) = 2, as the standard function has x = 2 and f(x) = 0.

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Answer:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \vphantom{\dfrac12} x &-8 &-4.5 & -4&0 \\\cline{1-5} \vphantom{\dfrac12} f^{-1}(x) &-2 & -1& 0&2 \\ \cline{1-5}\end{array}[/tex]

Step-by-step explanation:

The inverse of the graph of a function is its reflection in the line y = x.

Therefore, the mapping rule to find the inverse of the given ordered pairs is:

(x, y) → (y, x)

Therefore:

The inverse of (-2, -8) is (-8, -2)The inverse of (-1, -4.5) is (-4.5, -1)The inverse of (0, -4) is (-4, 0)The inverse of (2, 0) is (0, 2)

Completed table:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \vphantom{\dfrac12} x &-8 &-4.5 & -4&0 \\\cline{1-5} \vphantom{\dfrac12} f^{-1}(x) &-2 & -1& 0&2 \\ \cline{1-5}\end{array}[/tex]

There are 12 freshman 6 sophomores 12 juniors and 16 seniors. What percentage of club members are sophomores

Answers

Answer:

13% (rounded)

Step-by-step explanation:

12 + 6 + 12 + 16 = 46

46 total students

out of those 46 students, 6 are sophomores

so put that into a fraction it becomes

[tex]\frac{6}{46}[/tex]

which equals

0.130434783

which in percentage is

13.0434783%

or 13% rounded

Other Questions
Please help, i really need help NEEED HELP PLSSSS . Find x in triangles Geometry. Read the passage from "The Goatherd and the Wild Goats."A goatherd, driving his flock from their pasture at eventide, found some Wild Goats mingled among them, and shut them up together with his own for the night.The next day it snowed very hard, so that he could not take the herd to their usual feeding places, but was obliged to keep them in the fold.He gave his own goats just sufficient food to keep them alive, but fed the strangers more abundantly in the hope of enticing them to stay with him and of making them his own.When the thaw set in, he led them all out to feed, and the Wild Goats scampered away as fast as they could to the mountains.The Goatherd scolded them for their ingratitude in leaving him, when during the storm he had taken more care of them than of his own herd.One of them, turning about, said to him: "That is the very reason why we are so cautious; for if you yesterday treated us better than the Goats you have had so long, it is plain also that if others came after us, you would in the same manner prefer them to ourselves.Which statement accurately explains the theme most exemplified in this passage?Good leaders treat everyone the same.Kindness inspires others to be kind.Strangers cannot always be trusted.Ingratitude leads to unhappiness. 12/13+-1/13 equals what ? if a foreign trade policy of a country states that multinational companies can enter its market only by merging with a local business partner, this would represent which environmental force? a packet tracer exercise requires that you organize all cables using a structured cabling approach. what mode in packet tracer will allow you to accomplish this task? 13 nickels to 43 dimes in a reduced ratio form [tex] f(x) = 3x^{2} - 2x + 3[/tex]if (-3,n) is an element of the function what is the value of n? Describe a current events issue that involves oppression of a marginalized (historically oppressed) community Factor the quadratic expression2x+x-62x+ +x-6= (Factor completely.) a 2.6 m diameter penstock carries water at a velocity of 7m/s to an 80% efficient hydroelectricity generation facility in west virginia that produces 12 mw. another 2.275 m diameter penstock carries water at a velocity of 3 m/s to a 74% efficient hydroelectric generation facility in arkansas that produces 9 mw. what is the ratio of the heads of arkansas' reservoir to west virginia's reservoir? QuestionMrs. Hanson has a potato salad recipe that calls for 238 pounds of potatoes, but she wants to make 112 times as much as the recipe calls for. The diagram represents the number of pounds of potatoes that Mrs. Hanson needs.How many pounds of potatoes does Mrs. Hanson need? someone please help me!!! amazon expanded its single-product business by leveraging spare capacity into cloud computing and by offering its kindle line of tablet computers and echo line of digital assistants. this is an example of If you were the district attorney in the state where Martha lives, would you file criminal charges against her? Sean weighs 10 lb more than twice Brads weight. If Brad gains 10 lb, together they will weigh 230 lb. How much does each weight now? Compare the size and depth of an acetabulum of a hip bone to the glenoid cavity of the scapula.How do these socket differences between the hip joint and the shoulder joint relate to strength and mobility? Which principle did you apply in Step 4 of theinvestigation? Opinion based:Do you think there is a connection between what happened in Salem in the 1690s and the world you live in today? Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the oeiginal price of the card.. Wrote an expression that can be used to determine the final cost of the cards.