Selection bias can creep into a study if subjects are picked (intentionally or not) according to some criterion and not randomly.
Selection bias occurs when the selection of study participants is not random and is instead influenced by certain criteria. This can result in a non-representative sample that does not accurately reflect the population being studied, leading to inaccurate conclusions. For example, if a study on the effectiveness of a medication only enrolls participants who are already known to respond well to that medication, the results may overestimate its effectiveness in the general population. To minimize selection bias, researchers should use random sampling techniques and carefully consider the inclusion and exclusion criteria .
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I need help with this problem
Part (a)
\(g(x)=-3x^2 - 12x-11 \\ \\ =-3(x^2 + 4x)-11 \\ \\ =-3(x^2+4x+4)-11+12 \\ \\ =\boxed{-3(x+2)^2+1}\)
So, the vertex is at (-2, 1).
Part (b)
Plot the vertex, (-2,1).
Also, when x = -3, g(x) = -3(-1)² + 1 = -2. Since the graph is symmetric about x = -2, plot (-3, -2) and (-1, -2).
By similar logic, you can also plot (-4, -11) and (0, -11).
a. Find the slant asymptote of the graph of the rational function.
b. Follow the seven-step strategy and use the slant asymptote to graph the rational function.
a. Select the correct choice below and, if necessary, fill in the answer box to complete the choice.
A.
The equation of the slant asymptote is
nothing.
(Type an equation.)
B.
There is no slant asymptote.
Click to select and enter your answer(s) and then click Check Answer.
Answer:
BROOO I LITERALLY HAD A WHOLE LOOOONG ANSWER AND SOME STU PID MOD CAME AND DELETED IT AND I DONT REMEMBER WHAT I PUT
Step-by-step explanation:
Answer:
a. 1/3x+6
Step-by-step explanation:
Simplify the following fractions
8/24
8/32
6/30
12/24
9/21
5/20
Answer:
for 8/24 the answer will be 1/3.
and for 8/32 the answer will be 1/4.
and for 6/30 the answer will be 1/5.
and for 12/24 the answer will be 1/2.
and for 9/21 the answer will be 3/7.
and for 5/20 the answer will be 1/4
Step-by-step explanation:
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.2 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.50 per gallon. How much did Irene spend on gas?
Answer:
She spend $21,70 on gas
Step-by-step explanation:
6.350=2100
$21,00 for 6 gallons
350:10=35
0,35
035.2=070
0,70
2100+70=2170
what is 11/2 times 1/3 as a fraction
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6
Wes bought some school supplies at an outlet store in Maine, a state that in 2016 had a5.5% sales tax. Including the sales tax, how much did Wes pay for a jacket priced at $49.95and a pair of pants priced at $17.50?(Continuation) A familiar feature of arithmetic is that multiplication distributes overaddition. Written in algebraic code, this property looks like a(b + c) = ab + ac. Because ofthis property, there are two equivalent methods that can be used to compute the answer in#10. Explain, using words and complete sentences.
2016 sales tax in Maine: 5.5%
Wes bought (in dollars):
Jacket: $49.95
Pants: $17.50
First method:
The combined price of those two garments:
pants_and_jacket_price = 49.95 + 17.50 = $67.45
Now, we need to apply the sales tax to this:
5.5% of $67.45 = 5.5*67.45/100 = $3.70975
Finally, we add the pants and jacket price and the sales tax:
total = $67.45 + $3.71 = $71.16
Second method:
We apply the taxes sale individually for the jacket and the pants:
Sales tax:
Jacket: 5.5% of $49.95 = $2.74725
Pants: 5.5% of $17.50 = $0.9625
The total sales tax is: $2.74725 + $0.9625 = $3.70975
Now, we add this to the prices of the jacket and the pants:
total = $49.95 + $17.50 + $3.71 = $71.16
We have these two methods because of the distributive property of multiplication. The sales tax calculation is a multiplication of 5.5/100 (this is the 5.5%) times the total price. But the total price is a sum, the sum of the prices of the jacket and the pants. This is:
sales_tax = 5.5*(49.95 + 17.50)/100 = 5.5*49.95/100 + 5.5*17.50/100
Because of the distributive property, we can solve the problem in two ways. The first method is taking the sum of the prices and then calculate the total sales tax. The second method calculates the sales tax of each garment, and then we add these individual sales taxes to obtain the total one.
In recent years, Sheffield Transportation purchased three used buses. Because of the frequent turnover in the accounting department, a different accountant was in charge of selecting the depreciation method for each bus, and various methods have been used. Information concerning the buses is summarized in the table below. Bus 1, Bus 2, Bus 3, For the declining-balance method, the company uses the declining method rate. For units-of-activity method, total miles are expected to be 125,000. Actual miles of use in the first 3 years were 2021, 27,000; 2022, 35,000; and 2023, 33,000.
(a1) For Bus #3, calculate depreciation expense per mile under units-of-activity method.
Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.
How is the depreciation expense per mile determined?The units-of-activity method is one of the depreciation methods in use.
Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.
The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.
Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)
Expected total miles for Bus #3 = 125,000
Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)
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Question Completion:Bus Acquired Cost Salvage Useful Life Depreciation
Value in Years Method
1 1/1/12 $99,100 $7,900 4 Straight-line
2 1/1/12 128,000 11,000 4 Declining- balance
3 1/1/13 66,350 8,800 5 Unit-of-activity
sum and difference of two terms (x+3)(x-3)
Answer:
x power 2 and -9 is the result
PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answer:
1244 DCD
Step-by-step explanation:
a positive integer is nice if there is a positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to . how many numbers in the set are nice?
Answer:
A positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.
What is an integer?
Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The inverses of the equivalent positive numbers, which are additive, are the negative numbers. The boldface Z or blackboard bold "Z" is frequently used in mathematical notation to represent a collection of numbers.
Step-by-step explanation:
We know That total No. of factors
=product of (prime no′s power+1)
If N is the number of different divisors:
N=(p1+1)⋅(p2+1)⋅⋅⋅(pn+1)
100= 2^2 × 5^2
=2×2×5×5= (1+1)(1+1)(4+1)(4+1)
Then the integer n= a1^p1⋅a2^p2⋅⋅⋅⋅an^pn
For the smallest value: p1=4,p2=4,p3=1,p4=1
Then,
n=a1^4×a2^4×a3^1×a4^1
=24⋅34⋅51⋅71
=16⋅81⋅5⋅7
=45360
Hence, the positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.
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A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
No, there are three different values for x when each expression is set equal to 10.
Mrs. Jackson needs to earn $3,000 a month. How much does she need to sell if she earns 15% commission on everything she sells?
The amount that she needs to sell 15% commission is $2,000.
Given that,
Mrs. Jackson needs to earn $3,000 a month. The commission percentage is 15%.Let us assume the amount be x.Based on the above information, the calculation is as follows:
15% of x = $3,000
x = $2,000
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Mrs. Jackson needs to sell a total of $20,000 worth of products to earn $3,000 a month with a 15% commission on everything she sells.
Given that,
Mrs. Jackson needs to earn $3,000 a month.
The commission percentage is 15%.
Let us assume the amount be x.
To calculate how much Mrs. Jackson needs to sell to earn $3,000 a month, we can use the formula for commission-based earnings:
Earnings = Commission Rate × Sales
We know that Mrs. Jackson earns a 15% commission on everything she sells, and her goal is to earn $3,000 a month.
Let x be the total sales amount she needs to achieve her goal.
Earnings = 0.15x
According to the problem, she needs to earn $3,000, so we can set up the equation:
0.15x = $3,000
Now, to find x, we need to isolate it on one side of the equation. We can do that by dividing both sides by 0.15:
x = $3,000 / 0.15
x = $20,000
So, Mrs. Jackson needs to sell a total of $20,000 worth of products to earn $3,000 a month with a 15% commission on everything she sells.
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if sally has 2 sea shells to sell and she only ends up selling one how many sea shells does she have left?
Answer:
2-1= 1
1 sea shell left with her
HELP PLEASE ILL GIVE YOU BRAINLEST IF U GIVE ME THE CORRECT ANSWER FOR THE QUESTION IN THE PIC
Answer:
b. f(3.5) = 52
Hope this helps!
Find the perimeter of the figure.
O 129 in.
O 1975 in.
O 179 in
O 89.5 in.
Answer: C
Step-by-step explanation:
Assuming this is a rectangle, P=2l+2w.
Substituting in the dimensions,
P=2(39.5+50)=179
there are 193 going on a feild trip. the school has 5 busses to take the students. Each bus has 18 seats, and 2 students sit in each seat based on this information. how many students will not be able to ride a bus for the field trip?
Answer:
Step-by-step explanation:
so we know that there are 193 students going on this field trip and then it said that their are 5 buses each bus has 18 seats two students can sit in each seat so we muliply 18 by 2 which is and get 36, 36 can go on each bus multiply that by 5 and get 180 180 can go and there will be 13 not going
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Barry bought 21.50 meters of light rope at $0.46 per meter and
three meters of heavy rope at $1.03 per meter. How much change
did he get back from three $5 bills?
Candice and Joe went to Sawcon, the concert tickets for the concert Sawcon was 50 dollars each person. Plus tax they add 2.5 dollars. Since they have a discount they minus 10.5. How much are the tickets now?
Answer:
they would be $42.00
Step-by-step explanation:
50 + 2.50= 52.50
52.50-10.50=42.00
You are baking chocolate chip cookies. The recipe asks for 3 3/4 cups of flour and you want to make 2 times the original recipe.
A. 1 1/2 cups
B. 30/4 cups
C. 7 2/4 cups
D. 7 1/2 cups
100 points!!!
Solve the following equation:
8x + 3 = 2x + 9
Answer:
\(\Huge \boxed{\boxed{ x = 1}}\)
Step-by-step explanation:
Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.
To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.
Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.
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SolutionStep1: Subtract \(\bold{2x}\) from both sides
\(8x + 3 = 2x + 9\)\(8x - 2x + 3 = 2x - 2x + 9\)\(6x + 3 = 9\)Step 2: Subtract 3 from both sides
\(6x + 3 - 3 = 9 - 3\)\(6x = 6\)Step 3: Divide both sides of the equation by 6
\(\frac{6x}{6} = \frac{6}{6}\)\(x = 1\)So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).
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How many different sums of money can be made from 4coins of different denomination
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sumsEugene has a collection of 140 pet rocks. Of these rocks, 35% are sedimentary, 40% are igneous, and the rest are metamorphic. How many are metamorphic?
Answer:
25% or 35 rocks.
Step-by-step explanation:
To find this answer, simply add up 40% and 35% to get 75%. Now, 100% is the most we can have. So, 100 - 75 = 25%.
To find even more in depth of exactly how much 25% of 140 is, we can simply move the decimal point from 25 over twice to get 0.25. The term "of" means multiply:
0.25 x 140 = 35 rocks.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Find the total number of sides (y)
Answer:
There are 24 sides.
Step-by-step explanation:
There are 6 figures and in each figure there are 4 sides
So,
4 × 6 = 24
Thus, There are 24 sides.
-TheUnknownScientist 72
Determine the value of f(3) for the function
f (x) = { x³ + 18x² + 104x + 192 for x ≤ -3
{ 3x - 9 / x³ - 2x² - 5x + 6 for -3 < x ≤ 3
{sqrt(x² - 9) for x > 3
0
Undefined
3 over 10
693
Answer:
B. UndefinedStep-by-step explanation:
x = 3 corresponds to second piece.
Substitute x with 3 and find the value of f(3):
f(3) = (3*3 - 9)/(3³ - 2*3² - 5*3 + 6) = 0 / 0 = undefinedCorrect choice is B
PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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MISTERBRAINLYY!!
The paint in a certain container is sufficient to paint an area equal to 9.375m2. How many bricks of dimensions 22.5cm×10cm×7.5cm can be painted out of this container?
There are three area options for the number of bricks:
4165551250How many bricks can be painted out of a container?
The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:
n = A / A'
A' = w · h
Where:
w - Width of the brick, in centimeters.h - Height of the brick, in centimeters.There are three possible answers:
Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm
A' = 22.5 · 10
A' = 225
n = 93750 / 225
n = 416.667
n = 416
Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm
A' = 22.5 · 7.5
A' = 168.75
n = 93750 / 168.75
n = 555.556
n = 555
Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm
A' = 10 · 7.5
A = 75
n = 93750 / 75
n = 1250
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In the diagram shown, Δ ABC is equilateral. AD is an altitude.
10). ∠ ABD = ______.
11). ∠ ADB = ______.
12). ∠ BAD = _____.
13). ∠ CAD = _____.
Suppose AB = 6. Find:
14). BD
15). AD
16). Area of Δ ABC
The missing sides of the triangle are
10). ∠ ABD = 60 degrees
11). ∠ ADB = 90 degrees
12). ∠ BAD = 30 degrees
13). ∠ CAD = 30 degrees
How to find the missing sides in the triangle14. BD is half of the length = BC / 2 = 6/2 = 3
15. AD is the height this is solved using Pythagoras theorem as below
AD^2 = AB^2 - BD^2
AD^2 = 6^2 - 3^2
AD^2 = 36 - 9
AD = sqrt (27)
16. Area of Δ ABC
= 1/2 * base * height
= 1/2 * 6 * sqrt (27)
= 9 sqrt (3)
= 15.59 square units
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Jessamyn bought 3 notebooks that cost $2.25 each and a pen that cost $0.75. Sales tax on her purchases was
6%. What was the amount of the sales tax?
$0.54
$0.75
$0.18
$0.45
Which ordered pair best represents the coordinates of
a point that could be the third vertex of the right
triangle?
A (5,-5)
B (-4,6)
© (-3,-6)
D (3,4)
PLS HURRY I HAVE A TEST
Which statement is true?
O A. The absolute value of 3 is -3.
OB. The opposite of 7 is 7.
O C. The absolute value of 5 is equal to the opposite of 5.
O D. The opposite of -4 is
equal to the absolute value of -4.
Answer:
D. The opposite of -4 is equal to the absolute value of -4.
Step-by-step explanation: