The complete question is;
A surgeon performed two types of surgeries to treat large kidney stones and small kidney stones. Treatment A on large stones was successful 73% of the time, but on small stones it was successful 93% of the time. Treatment B was successful on large stones 69% of the time, but on small stones it was successful 87% of the time. The overall report stated treatment B was more successful. What may make this claim possible?
Group of answer choices;
Sampling error
Cause-and-effect relationship
Convenience error
Confounding
Simpson's Paradox
Answer:
Correct Option is Simpson's Paradox
Step-by-step explanation:
Looking at all the options, The correct option is Simpson's Paradox because the concept of the other options don't depict the paradox displayed in the question.
Now, Simpson's paradox, is simply a phenomenon in probability and statistics, whereby a trend appears in several different groups of data but will disappear or reverse when these groups are combined. This result is often encountered in many areas of statistics and is very problematic especially when frequency data is given causal interpretations. The paradox can be resolved when causal relations are appropriately addressed in the statistical modeling.
Now, in this question, it concluded that treatment B was more successful than treatment A without considering the conditions under which both treatments were carried out neither did it consider the severity of cases of patients involved in the treatment.
To raise money the youth club bought 90 kg of pecans for $297.90. They sold the pecans in 250 g bags for $1.90 each. How much profit did they make?
Answer:
Profit = $6,922.1
Step-by-step explanation:
Total weight of pecans = 950 kg
1 kg = 1000g
Total weight of pecans in gram = 950 *1000 g = 950,000 g
Note : we have calculated weight in gram as later in question weight of pecans in bag is given in gram so to make uniformity in unit of weight)
Given quantity one bag can store = 250 g
let there be x bag to store 950,000 g of pecan
weight of x bag = quantity one bag can store*x = 250x (this will be equal to total weight of pecan as given)
250 x= 950,000 g
=> x = 950000/250 = 950*4 = 3800
Thus, there are 3800 bags.
Selling price for 1 bag = $1.90
Selling price for 3800 bag = $1.90*3800 = $7,220
we know profit = selling price - cost price
given cost price of 950 kg pecan = $297.90
Profit = $7,220 - $297.90 = $6,922.1 (answer)
A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate is the height of the
A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate is the height of the water changing when the height is 3m?
Answer:
[tex]\dfrac{1}{\pi}$ m/s[/tex]
Step-by-step explanation:
Volume of a cylinder, [tex]V=\pi r^2h[/tex]
When the water is leaking, the radius of the cylinder remains constant while the height changes with respect to time.
Therefore, the rate of change of the volume,
[tex]\dfrac{dV}{dt}=\pi r^2 \dfrac{dh}{dt}[/tex]
[tex]4=\pi \times 2^2 \times \dfrac{dh}{dt}\\\\\dfrac{dh}{dt}=\dfrac{4}{4\pi}\\\\\dfrac{dh}{dt}=\dfrac{1}{\pi}$ m/s[/tex]
the least integer of a set of consecutive integers _25 if the sum of these integers is 26 how many integers are in this sets
Answer:
1
Step-by-step explanation:
#2 find domain and range using interval notation
Hey there! :)
Answer:
D: [-3, 1).
R: [ -8, 1].
Step-by-step explanation:
Examine the graph. Notice there is a closed and open circle.
Closed circles require the ] bracket to be used, while:
Open circles require the ) bracket. Therefore:
Domain:
The domain is from x = -3 to x = 1. Therefore:
D: [-3, 1).
The range, or y values in this function are from -8 to 1. Therefore:
R: [ -8, 1].
*** The range for this graph can be tricky. Remember, in this instance the highest point of the graph was at x = 0, not at x = 1 where the graph ended.
What is the greatest common factor of 44 and 47?
Answer:
1
Step-by-step explanation:
To get the GCF of 44 and 47, factor each value,then we choose copies of factors and multiply them.
A new drug is introduced that is supposed to reduce fevers. Tests are done with the drug. The drug is given to 40 people who have fevers. It is found that the mean time that it takes for the fever to get back to normal for this test group is 320 minutes with a standard deviation of 60 minutes. Find the 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people.
Answer:
The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.685
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.685\frac{60}{\sqrt{40}} = 16[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 320 - 16 = 304 minutes
The upper end of the interval is the sample mean added to M. So it is 320 + 16 = 336 minutes
The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes
Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of an infected deer tick. The following data represent the number of reported cases of Lyme disease and the number of drowning deaths for a rural county.
Cases of Lyme Disease Drowning Deaths Month
2 0 J
1 1 F
3 2 M
4 1 A
5 3 M
1 5 J
2 2 J
1 3 A
6 3 S
5 3 O
4 1 N
1 0 D
Requried:
a. Draw a scatter diagram of the data.
b. Determine the linear correlation coefficient between Lyme disease and drowning deaths.
c. Does a linear relation exist between the number of reported cases of Lyme disease and the number of drowning deaths?
Answer:
Step-by-step explanation:
Let cases of Lyme disease = x
x = 2, 1, 3, 4, 5, 1, 2, 1, 6, 5, 4, 1
[tex]\sum x = 35[/tex]
[tex]\sum x^2 = 139[/tex]
y = 0, 1, 2, 1, 3, 5, 2, 3, 3, 3, 1, 0
[tex]\sum y = 24[/tex]
[tex]\sum y^2 = 72[/tex]
[tex]\sum xy = 55[/tex]
[tex]S_{xx} = \sum x^2 - (\sum x)^2/n\\S_{xx} = 139 - 35^2/12\\S_{xx} = 36.92\\S_{yy} = \sum y^2 - (\sum y)^2/n\\S_{yy} = 72 - 24^2/12\\S_{yy} = 24[/tex]
[tex]S_{xy} = \sum xy - ( \sum x \sum y)/n\\S_{xy} = 55 - (35*24)/12\\S_{xy} = -15[/tex]
b) Linear correlation between Lyme disease and drowning deaths.
[tex]r = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}} }[/tex]
r = -15/ √(24*36.92)
r = -0.504
Use cylindrical coordinates to calculate the volume above the xy-plane outside the cone z^2 = x^2 + y^2 and inside the cylinder x^2 + y^2 = 4
Answer:
volume of xy-plane outside the cone = 16π/3
Step-by-step explanation:
using cylindrical coordinates
z² = x² +y² =====>z²=r²=====>z=r
x² + y² =4 ====>r = 2
So, the volume ∫∫∫dV equal
∫(θ = 0 to 2π) ∫(r = 0 to 2) ∫z=0 to r) 1 x (r dz dr dθ) via cylindrical coordinates
= ∫(θ = 0 to 2π) ∫(r = 0 to 2) r² dr dθ
= ∫(θ = 0 to 2π) (1/3)r³ {for r = 0 to 2} dθ
= 2π x 8/3
= 16π/3
Which benefits do employers commonly offer to full-time employees? 401(k) plan free gasoline health insurance life insurance paid vacation rent
Answer:
401k, health insurance, life insurance, paid vacation
Step-by-step explanation:
The benefit do employers commonly offer to full-time employees should involved the 401k, health insurance, life insurance, paid vacation.
Benefits made to employees:When the employees are doing full time job so the company gives the following benefits:
heath insurancePaid vacation. Life insurance401 (k) PlanThese benefits motivates the employees to stay longer with the organization and be effective in the process which they deal with.
learn more about insurance here: https://brainly.com/question/24461491
Discover the smallest square number
that can be written using five different
Roman numerals.
Divide this number by 24
Answer:
The smallest square number that can be written using five different Roman numerals is 10,000.
The result of the number divided by 24 is [tex]416 \dfrac{2}{3}[/tex]
Step-by-step explanation:
The lowest digit which can be written using five different Roman numerals is 10,000.
Therefore, the smallest square number must be greater than or equal to 10,000.
[tex]\sqrt{10,000} =100[/tex]
Therefore, the smallest square number that can be written using five different Roman numerals is 10,000.
Next, we divide the number by 24.
[tex]10,000 \div 24 =416 \dfrac{2}{3}[/tex]
The result of the number divided by 24 is [tex]416 \dfrac{2}{3}[/tex]
A piece of string is 120 centimeters long. How long would the piece of string measure in meters?. Enter your answer in the box.
Answer:
1.2 metres
Step-by-step explanation:
1 metre = 100cm
so 120cm has 120 cm * 1 m/ 100cm = 1.2 m
Convert.
5 days =
lao
hours
Answer:
120 Hours
Step-by-step explanation:
24 hours in a day
5 days
24 x 5 = 120
10x - 8y = 40
5x - 2y = 40
What is the value of y in the (x, y) solution to the
system of equations shown above?
Answer: 10
Step-by-step explanation:
Step-by-step explanation:
10x-8y = 40 (1)
5x-2y= 40 (2)
multiply (2) by -2 then add to (1) to get rid of x
-10x+4y+10x-8y = 40+ (-80)
-4y = -40
4y = 40
y= 40/4
y = 10
the answer is 10
Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
Circumference: 12π + 8 cm,
Area: 48 ( cm )^2
Step-by-step explanation:
This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.
Circumference of 1 semicircle = [tex]\frac{1}{2}[/tex]( πd ) = [tex]\frac{1}{2}[/tex]π( 4 ) = 2π ( cm )
Circumference of Figure (composed of 6 semicircles + 2 sides of a square),
We know that 6 semicircles should be 6 [tex]*[/tex] 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2
Circumference of Figure = 6 [tex]*[/tex] 2π + 2 = 12π + 8 ( cm )
_____________
The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.
Area of 1 semicircle = 1/2π[tex]r^2[/tex] = 1/2π[tex](2)^2[/tex] = 2π ( cm ),
Area of 1 square = ( 4 cm )( 4 cm ) = 16 ( [tex]cm^2[/tex] )
So, the area of the figure should be the following -
Area of Figure = 3 [tex]*[/tex] 2π + 3( 16 - 2π ) = 48 ( cm )^2
Please help me......
Answer:
84cm^2
Step-by-step explanation:
A parallelogram is just like a rectange. So, that's how you find the area: length times width.
So we know the width is 7 cm and the length is 12 cm. We multiply them to get 84cm^2
Answer:
84 cm^2
Step-by-step explanation:
area of a parallelogram is base x height
so, the base is 12 cm and the height is 7 cm
that means the area will equal (12 cm)(7 cm)
12 times 7=84 cm^2
therefore, the area of this parallelogram is 84 cm^2
A particular electronic component is produced at two plants for an electronics manufacturer. Plant A produces 70% of the components used and the remainder are produced by plant B. Among the components produced at plant A, the proportion of defective components is 1%. Among the components produced at plant B, the proportion of defective components is 2%. If a component received by the manufacturer is defective, the probability that it was produced at plant A is
Answer:
If a component received by the manufacturer is defective, the probability that it was produced at plant A is 0.5385 = 53.85%.
Step-by-step explanation:
We use the Bayes Theorem to solve this question.
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Defective component
Event B: Produced at plant A.
Plant A produces 70% of the components used
This means that [tex]P(B) = 0.7[/tex]
Among the components produced at plant A, the proportion of defective components is 1%.
This means that [tex]P(A|B) = 0.01[/tex]
Probability of a defective component:
1% of 70%(defective at plant A)
2% of 100 - 70 = 30%(defective at plant B). So
[tex]P(A) = 0.01*0.7 + 0.02*0.3 = 0.013[/tex]
If a component received by the manufacturer is defective, the probability that it was produced at plant A is
[tex]P(B|A) = \frac{0.7*0.01}{0.013} = 0.5385[/tex]
If a component received by the manufacturer is defective, the probability that it was produced at plant A is 0.5385 = 53.85%.
The data is given as follow. xi 2 6 9 13 20 yi 7 18 9 26 23 The estimated regression equation for these data is = 7.6 + .9x. Compute SSE, SST, and SSR (to 1 decimal). SSE SST SSR What percentage of the total sum of squares can be accounted for by the estimated regression equation (to 1 decimal)? % What is the value of the sample correlation coefficient (to 3 decimals)?
Answer:
✓SSE = 127.3
✓SST = 281.2
✓SSR = 153.9
✓percentage of the total sum of squares = 54.73%
✓The value of the sample correlation coefficient= 0.7398
Step-by-step explanation:
Given:
xi :2 6 9 13 20
yi:7 18 9 26 23
The given regression equation = 7.6 + 0.9 x.
we need to calculate the required SSE, SST and SSR , after this The percentage of total sum of squares can be computed. To do this we need to find the square difference between the actual value of y and average value of y, also the difference between actual value and predicted y value.
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION.
Please help find the end behavior
Answer:
the first one
Step-by-step explanation: they are all the same
Determine the domain and range of this,
x²+ y² = 16
Answer:
Step-by-step explanation:
x^2 + y^2 = 16
Both the domain and range are :
-4≤x≤4
-4≤y≤4
Example
x^2= 16
√x^2 = √16
x = 4,-4
√y^2= √16
y = -4, 4
I NEED HELP PLEASE THANKS! :)
While doing bicep curls, Tamara applies 155 Newtons of force to lift the dumbbell. Her forearm is 0.366 meters long and she begins the bicep curl with her elbow bent at a 15° angle below the horizontal, in the direction of the positive x-axis. Determine the magnitude of the torque about her elbow.
(Show work)
Answer:
55
Step-by-step explanation:
Tamara's forearm is given to be 0.366 meters in length, so that a force of 155 newtons is being applied at this distance from her elbow. Again, this force is applied at an angle of 15 degrees, so that the positioning should be the following -
r = ( 0.366( cos 15 ), 0, 0.366( sin 15 ) ),
r = ( 0.35352885242, 0, - 0.0947277705 ) - ( Approximately )
Now the force is applied in the vertical direction, so -
F = ( 0, 0, 155 )
_________________________________________________
We can now multiply the two ( ( 0.35352885242, 0, - 0.0947277705 ) and ( 0, 0, 155 ) ), performing the following calculation to receive " j " the magnitude,
[tex]|0.35352885242, 0, - 0.0947277705 |\\* | 0, 0, 155 |,\\\\( 0( 155 ) - 0( - 0.0947277705 ) ) - ( 0.35352885242( 155 ) - 0( - 0.0947277705 ) ) + ( 0( 0.35352885242 ) - 0( 0 ) )\\\\Solution = ( 0, ( About ) 54.8, 0 )[/tex]
And as you can see, j / magnitude is about 54.8
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the derivative of the function.
y = 81 arcsin x 9 − x 81 − x2.
Answer:
[tex]\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x[/tex]
Step-by-step explanation:
This derivative consist in the sum of three functions: [tex]f(x) = 81\cdot \sin^{-1} x^{9}[/tex], [tex]g(x) = - x^{81}[/tex] and [tex]h(x) = - x^{2}[/tex]. According to differentiation rules, the derivative of a sum of functions is the same as the sum of the derivatives of each function. That is:
[tex]\frac{d}{dx} [f(x)+g(x) + h(x)] = \frac{d}{dx} [f(x)]+\frac{d}{dx} [g(x)] +\frac{d}{dx} [h(x)][/tex]
Now, each derivative is found by applying the derivative rules when appropriate:
[tex]f(x) = 81\cdot \sin^{-1} x^{9}[/tex] Given
[tex]f'(x) = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}}[/tex] (Derivative of a arcsine function/Chain rule)
[tex]g(x) = - x^{81}[/tex] Given
[tex]g'(x) = -81\cdot x^{80}[/tex] (Derivative of a power function)
[tex]h(x) = - x^{2}[/tex] Given
[tex]h'(x) = -2\cdot x[/tex] (Derivative of a power function)
[tex]\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x[/tex] (Derivative for a sum of functions/Result)
please ansqwer quik thanks!!!!!!
Answer:
8
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
x^2 + 3x - 18 = 0
Help ASAP
Answer: b & c
Step-by-step explanation: a p e x 2020
PLZ HELP WILL GET BRAINLIEST! In the year 2005, the average cost of a car could be modeled by the equation C= -15x2 + 20x - 3 where x is the number of years since 2005. By the year 2010 the average cost had changed, and the equation could be modeled by C= -10x2 + 30x - 2. Find the difference in average cost equation for cars between 2005 and 2010.
Explanation:
Plug x = 0 into the first equation to find that C = -3. We use x = 0 since 0 years have passed by (the starting point is 2005 for this equation).
Now plug x = 0 into the second equation. The starting point is now 2010 which explains why we use the same x value, just for a different equation. You should get C = -2 here.
The difference from C = -3 to C = -2 is 1, as this is the distance between the two values.
Chances are C is measured in thousands of dollars, so C = 1 represents an average cost of 1000 dollars. Though your teacher never mentions "in thousands of dollars", so it's probably best to stick to 1 instead of 1000. I would ask your teacher to clarify.
Please Help! what is g(x)?
Answer:
The answer is option B.
g(x) = - x²
Hope this helps you
Refer to the following partial ANOVA results from Excel (some information is missing).
Source of Variation SS df MS F
Between groups 210.2778
Within groups 1483 74.15
Total 2113.833
The number of treatment groups is:_______.
a- 4
b- 3
c- 2
d- 1
Answer:
a) 4
Step-by-step explanation:
Take the equation:
x + 1483 = 2113.833
Solve for x:
x = 2113.833 - 1483
x = 630.833
To find df, take the equation:
[tex]\frac{x}{y} = 210.2778[/tex]
Where x = 630.833
[tex] \frac{630.833}{y} = 210.2778 [/tex]
Solve for y:
[tex] y = \frac{210.2778}{630.833} [/tex]
[tex] y = 2.9999 [/tex]
y ≈ 3
Take number of treatments = k
Degrees of freedom, df, of numberof treatments = k - 1
Therefore,
Where df = 3, we have:
k - 1 = 3
Solve for k:
k = 3 + 1
k = 4
The number of treatment groups is 4
The number of treatment groups is (a) 4
From the partial ANOVA results, we have:
SS total = 2113.833SS within = 1483MS between = 210.2778Start by calculating the SS between using the following formula
SS between= SS total - SS within
So, we have:
SS between = 2113.833-1483
SS between = 630.833
Next, calculate the degrees of freedom (df) using:
df = SS between / MS between
So, we have:
[tex]df = \frac{630.833}{210.2778}[/tex]
Divide
[tex]df = 2.99999809775[/tex]
Approximate
[tex]df = 3[/tex]
The number of treatment groups (n) is then calculated using:
[tex]n = df + 1[/tex]
This gives
[tex]n = 3+ 1[/tex]
Add 3 and 1
[tex]n = 4[/tex]
Hence, the number of treatment groups is (a) 4
Read more about ANOVA results at:
https://brainly.com/question/15394749
In a simple linear regression analysis the quantity that gives the amount by which the dependent variable changes for a unit change in the independent variable is called the
Answer:
Slope of the regression line
Step-by-step explanation:
The slope of the regression line including the intercept shows the linear relationship between two variables, and can also therefore be utilized in estimating an average rate of change.
The slope of a regression line represents the rate of change in the dependent variable as the independent variable changes because y- the dependent variable is dependent on x- the independent variable.
The first step in solving for the variable / in the equation P= 21 + 2w is:
A. Add the 2w to both sides of the equal sign.
B. Subtract the 2w to both sides of the equal sign.
C. Divide the 2 to both sides of the equal sign.
D. None of these choices are correct.
Scientists rely on which of the following to provide critical feedback when revising scientific explanation?
A) Null Hypothesis
B) Dogma
C) Opinion
D) Peer review
Answer:
D) Peer review
Step-by-step explanation:
Peer review aims at reviewing a scientific work either publication, research journal or ideas by a group of other scholar in the field. By doing so; Peer review helps to redefine the content of the research and ensures its originality before such can be published. Also; another significant purpose of Peer review as it provide critical feedback when revising scientific explanation is to help ameliorate the quality of the documents, supply suggestions, and also focuses on pointing out mistakes and errors where needed prior to the publication time.
Fiona solved the equation shown 1/2-1/3(6x-3)=-13/2 what is the missing step of her solution?
Answer:
Summation of the non variable Expression within the quality sign
1/2 + 1-2x= -13/2
3/2-2x= -13/2
Step-by-step explanation:
1/2-1/3(6x-3)=-13/2
First step
Using the distributive property to simply
1/2-(6x/3)+(3/3)=-13/2
1/2 -2x +1 = -13/2
Second step
Summation of the non variable Expression within the quality sign
1/2 + 1-2x= -13/2
3/2-2x= -13/2
Third step
Isolating the variable Expression by using the addition property of equality
-2x = -13/2 - 3/2
-2x = -16/2
Fourth step
Isolating the variable by using the division property of equality
-2x = -16/2
X = -16/2 * -1/2
X = -16/-4
X= 4
Answer:
Simplify by combining like terms
Step-by-step explanation: