A clinical trial is conducted to evaluate the efficacy of a new medication to relieve pain in patients undergoing total knee replacement surgery. In the trial, patients are randomly assigned to receive either the new medication or the standard medication. After receiving the assigned medication, patients are asked to report their pain on a scale of 0 to 100, with higher scores indicative of more pain. Data on the primary outcome are shown in Table 1. Because procedures can be more complicated in older patients, the investigators are concerned about confounding by age. For analysis, patients are classified into two age groups, less than 65 years old and 65 years of age and older. The data are shown in Table 2. Is there a statistically significant difference in mean pain scores between patients assigned to the new medication as compared to the standard medication? Run the appropriate test at α = 0.05. (Ignore age in this analysis.)
TABLE 1 Pain Scores by Treatment
Sample Size
Mean Pain Score
Std Dev of Pain Score
New medication
60
30.31
7.52
Standard medication
60
53.85
7.44
TABLE 2 Pain Scores by Treatment and Age Group
Age < 65
Sample Size
Mean Pain Score
Std Dev of Pain Score
New medication
40
25.30
2.46
Standard medication
25
45.51
1.83
Total
65
33.07
10.16
Age 65 +
Sample Size
Mean Pain Score
Std Dev of Pain Score
New medication
20
40.33
2.16
Standard medication
35
59.80
2.49
Total
55
52.72
9.74

Subtraction is a mathematical operation that reflects the removal of things from a collection. The amount by which Rico weighs more than Biscuit is 23.6 kilograms.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given Rico weighed 45.7 kilograms, Mocha weighed 15.5 kilograms, and Biscuit weighed 22.1 kilograms. Therefore, the amount by which Rico weighs more than Biscuit is,

Difference = 45.7 kgs - 22.1 kgs = 23.6 kgs

Hence, the amount by which Rico weighs more than Biscuit is 23.6 kilograms.

Learn more about Subtraction:

https://brainly.com/question/1927340

#SPJ1

Answer:

ZIP  is  Right scalene

Step-by-step explanation:

ZIP is right scalene because we can see that even though they do not measure the same, they form a 90 degree angle at I

Answer:

ZIP is right and scalene

Step-by-step explanation:

When one of the three angles measure 90 degrees and the angles or lengths of other two sides are not congruent, then the scalene triangle is called right scalene triangle

I hope my answer helps you.

Answer:

your answer is 80 degree .

because of angle sum propert

brainlist me

follow me guys

Answer:

Angle ACE=80º

Step-by-step explanation:

Since the angles ACD and ACE are supplementary (meaning they form a straight line or 180º when added up) we know that the sum of those angles is 180º.

If ACD + ACE = 180 and ACD =100

then, 100 + ACE =180 and by subtracting we find that ∠ACE=80º.

Answer:

Fresh air

Step-by-step explanation:

Answer:

The answer is (x+3)^2+(y-4)^2=1

Step-by-step explanation:

The equation is (x-a)^2+(y-b)^2=r^2

In this equation, a and b are the coordinates of a center, and r is radius

Substituting given values, we obtain our answer.

Therefore , the solution of the given problem of inequality comes out to be  x >= 0.818.

Although there isn't an equal symbol in algebra, the difference can be expressed by a partner or collection of numbers. Equity usually comes after equilibrium. When ideals continue to diverge, expression inequality results. Fairness and disparity are not the same. We used our most widely used symbol even though pieces usually aren't connected or near to one another. (). Any variation, no matter how slight, may be utilized to assess value.

Here,

Using logarithms, we can eliminate this inequality:

=> \(7^{3x-1}\) >= 21

Using base 7, take the logarithm of both sides:

=> 7(3x-1) log_7 >= log_7(21)

=> (3x-1) >= log_7(21)

To both ends, add one:

=> 3x >= log_7(21) + 1

multiply both parts by three.

=> x >= (1/3) * (log_7(21) + 1)

=> x >= 0.818

The following is how the disparity can be resolved:

=> x >= 0.818.

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

Answer:

Value of \(x=-12\)

Step-by-step explanation:

The given triangle is isosceles

Here

\(m\angle2+m\angle2+36^0=180^0\\\\2m\angle2=144^0\\\\m\angle2=72^0\\\\x+84=72\\\\x=72-84\\\\=-12\)

\(m∠2+m∠2+36⁰= 180°\)

\(2m∠2 = 144°\)

\(m∠2 = 72⁰\)

\(x +84 = 72\)

\(x = 72 - 84\)

\(x= -12\)

Answer:

m > -20

Step-by-step explanation:

Multiply the 5 on both sides. Now you have 3m > -60. Divide both sides by 3. Now you have m > -20.

Voila

Sonia will spend $1600 on airfare , $ 1200 on accommodations and $ 800 on food .

Multiplication is the polar opposite of division. If three groups of four add up to 12, then division of 12 into three groups of equal size yields four in each group.The basic objective of splitting is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.

Given that: She has allocated $3600 (in canadian dollars) to spend on airfare, accommodations, and food in a ratio of 4:3:2.

She has allocated $3600 (in canadian dollars) to spend on airfare, accommodations, and food in a ratio of 4:3:2.

let the sonia spend x

4x + 3x +2x = $3600

9x = $3600

x=$400

On airfare sonia will spend 4 × $400 = $1600

On accommodations sonia will spend 3 × $400 =$1200

On food sonia will spend 2 × $400 = $800

Sonia will spend $1600 on airfare , $ 1200 on accommodations and $ 800 on food .

To learn more about division visit:

brainly.com/question/2273245

#SPJ4

Answer:

The person has a speed of 12 miles per hour.

Step-by-step explanation:

The ratio is 12 miles to 1 hour.

This means, that in every hour, the person can move 12 miles and has a speed of 12 miles per hour.

i dont know what you are asking me

Answer:

25 and 22

Step-by-step explanation:

a) , 36 : '22 in its simplest form is 18 : 11., d) the mean is 301.25.

a) To express 36 : '22 in its simplest form, we need to find the greatest common divisor (GCD) of 36 and 22. The GCD of 36 and 22 is 2. Divide both numbers by the GCD to simplify the fraction. 36 ÷ 2 = 18 and 22 ÷ 2 = 11. So, 36 : '22 in its simplest form is 18 : 11.

b) To express the fractions x 3 2 and I in equivalent fractions with a denominator of 20, we need to multiply the numerator and denominator by the same number. For x 3 2, multiply both the numerator and denominator by 10. This gives us x 3 2 = 10 x 3 2 ÷ 2 10 ÷ 2 = 15 1. For I, multiply both the numerator and denominator by 20. This gives us I = 1 x 20 2 x 20 = 20 40.

c) To evaluate Workout;+;—§, substitute the values into the expression: 2 + 5 - 4 ÷ 2. Start by performing the division: 4 ÷ 2 = 2. Then, perform the addition: 2 + 5 = 7. Finally, perform the subtraction: 7 - 2 = 5.

d) To find the mean of the dataset: 301, 285, 21, 351, 35, 2135, 311, 25, 45, 310, 301, 305, add up all the numbers and divide by the total number of values. Adding all the numbers together gives us 3615. Since there are 12 numbers in the dataset, the mean is 3615 ÷ 12 = 301.25. Rounded to two decimal places, the mean is 301.25.

know more about simplest form

https://brainly.com/question/23302257

#SPJ11

Answer: -467

I sure but not so sure but hoped it helped

Step-by-step explanation:

It’s decrease by 8 so do the formula

an= a + d(n−1).

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

To know more about Statistics, Visit

brainly.com/question/15525560

#SPJ11

The number of ways for filling 4 positions out 17 applicants is 57120

For the local dry cleaner 17 candidates were interviewed.

There are four positions available cashier, washer, salesperson, and delivery driver.

To calculate number of ways by which they can fill those 4 positions first we need to find the no of ways to select 4 candidates out of 17 candidates.

No of ways to select r candidates out of n

= nCr

=( n!) / (r!)(n-r)!

= 17!/( 4! ) ( 17-4)!

17Cr = 2380.

For assigning the four positions to the four candidates there are

17C4 x 4! ways.

So, The number of ways for filling 4 positions out 17 applicants = 2380 x 4!

The answer to this problem is 57120.

To, learn more about dry cleaners visit - https://brainly.com/question/6668482

#SPJ4

Answer:

38

Step-by-step explanation:

-1•f(-9)+7•g(6)

f(-9) is 4

g(6) = 6

-1* 4+7*6

-4 +42

38

There are 7 students who are studying both programming languages in the given class of 55 freshman.

This can be determined using a Venn diagram.

A Venn diagram is a graphical representation of sets or classes. The diagram shows sets, their elements, and the union, intersection, and complement of these sets.

A set is a collection of distinct objects, considered as an object in its own right. The elements of a set are frequently things of a similar nature, and sets are characterized by a distinctive property.

The size of a set is represented by the number of elements it contains. Let's use the following symbols to represent sets:

A={Elements in set A}

B={Elements in set B}

The intersection of sets A and B is the set of elements that are in both sets A and B. This can be expressed in the following way

n(A∪B) = n(A) + n(B) - n(A⋂B) where n(A⋂B) is known as intersection

The number of students studying both programming languages can be calculated by taking the intersection of the two sets.

We can use this formula to calculate the number of students studying both programming languages

:|A∩B|=|A|+|B|-|A∪B|

Where |A| denotes the number of elements in set  A studying C programming

|B| denotes the number of elements in set B studying Java

|A∪B| denotes the number of elements in the union of sets A and B (total students)

Now we can substitute the given values into the formula as follows

|A∩B|=38+24−55=7

Therefore, there are 7 students studying both programming languages.

Learn more about intersection of sets : https://brainly.com/question/20886002

#SPJ11

The transformation that relates the two functions:

f(x) = y = -√(-4x)

g(x) = y = √(-4x)

Is a reflection across the x-axis.

We define a reflection across the x-axis as a transformation that does a "vertical reflection" along the line y = 0 (which is the x-axis).

For a function f(x), a reflection across the x-axis generaste the new function g(x) that can be written as:

g(x) = -f(x).

In this case the original function is:

f(x) = y = -√(-4x)

And the transformed function is:

g(x) = y = √(-4x)

You can see that the only difference is the sign, such that we can write:

g(x) = -f(x) = -(-√(-4x)) = √(-4x)

So we conclude that the transformation is a reflection across the x-axis.

Learn more about transformations:

https://brainly.com/question/4289712

#SPJ1

The probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.

To find the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A, we first need to determine the proportion of plumbing jobs done by Plumber A that result in consumer dissatisfaction.

Given that half the complaints dealt with Plumber A and that Plumber A does 40% of the plumbing jobs in the town, we can calculate this proportion as follows:

Proportion of unsatisfactory plumbing jobs done by Plumber A = (Half the complaints / Total number of plumbing jobs done by Plumber A)

= (Half the complaints / 40% of the total plumbing jobs in the town)

= (Half of 10% / 40%)

= 10% / 2 / 40% = 1 / 4 = 0.25

Therefore, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25.

To find the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A, we subtract the probability of obtaining an unsatisfactory plumbing job from 1:

Probability of a satisfactory plumbing job given that the plumber was Plumber A = 1 - Probability of an unsatisfactory plumbing job

= 1 - 0.25

= 0.75

Therefore, the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.

In conclusion, given that Plumber A does 40% of the plumbing jobs in the town and that half the complaints dealt with Plumber A, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25, and the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75. These probabilities can be used to make informed decisions about which plumber to choose for plumbing jobs in the community.

To know more about probability: https://brainly.com/question/11234923

#SPJ4

Answer:

border.according to my dictionary.

Answer:

\(\huge\boxed{a\in\mathbb{R}}\)

Step-by-step explanation:

\(1\times(a+3)=a+3\\\\a+3=a+3\\\\a-a+3=a-a+3\\\\3=3\qquad\bold{TRUE}\)

Answer:

See the Image below:)

ITS TRUE

SOLUTION ALL REAL NUMBERS

Step-by-step explanation:

the greatest common factor of the given expressions is -5xy.

To find the greatest common factor of the given expressions, we need to factor them first.

\(-15x^2y - 10xy^3 + 5xy^4 = -5xy(3x^2 + 2y^2 - y^3)\\5xy = 5xy(1)\\5x^2y^4 = 5xy^4(x^2)\\5xy^2 = 5xy^2(1)\)

xy = xy(1)

Now, we can find the common factors by taking the minimum exponent of each variable in the factors:

The common factors are:5xy

Therefore, the greatest common factor of the given expressions is -5xy.

Learn more about factor here

https://brainly.com/question/29128446

#SPJ1

Answer:

x = 74

Step-by-step explanation:

If you add all the angles in the diagram, you will get 360 degrees (since it's a complete revolution, and one revolution = 360 degrees).

Form an equation in x with this information:

4x+1+x-35+24 = 360

5x -10 = 360

5x = 370

x = 74

Answer:

( 4,6)

Step-by-step explanation:

To move the point 2 units to left, subtract 2 from the x coordinate

V'( 6-2,3)

V'( 4,3)

Now we move it 3 units up, which means we are adding 3 to the y coordinate

V' ( 4, 3+3)

V' ( 4,6)

The new point is ( 4,6)

Answer:

A - 7

Step-by-step explanation:

These angles are corresponding, meaning they are congruent. Therefore it is simple algebra.

16x - 7 = 105

16x = 112

112/16 = 7

x=7

The side TU of the right triangle is 156.15 metres and the area of the triangle is  6168.07 metres squared.

The side GH of the right triangle is 182.33 metres and the area of the triangle is  8934.27 metres².

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The missing side of the right triangle can be found using Pythagoras's theorem.

Therefore,

a² + b² = c²

where

The area of the right triangle can be found using the formula as follows:

area of a triangle = 1 / 2 bh

where

Hence,

1.

TU² = 175² - 79²

TU² = 30625 - 6241

TU² = 24384

TU = √24384

TU = 156.153770368

TU = 156.15 metres

Area = 1 / 2 × 156.15 × 79

area = 6168.07392952

area = 6168.07 metres squared

2.

GH² = 207² - 98²

GH² = 42849 - 9604

GH = √33245

GH = 182.33211456

GH = 182.33 metres

Area of the triangle  = 1 / 2 × 98 × 182.33

Area of the triangle  = 8934.27361345

Area of the triangle  = 8934.27 metres²

learn more on right triangle here: brainly.com/question/6322314

#SPJ1

Answer:

OK so this may or may not help u ...

this can be taken as the straight line with equation

y = mx + c

here f(x) is taken to be y

the attached pic is the graph of this function

so I think the value of x before it explodes would be 18.875

and x represents the time

and f(x) represents height so we see that the highest possible value of f(x) from the graph is 302