Let's say we had a sample of 100 people. We'll split them into two equal groups of 50 each. The two groups will be the treatment and control groups. The treatment group, aka experimental group, is where the actual drug is given. The control group is where the fake drug is given. People in the control group must not know the pill is fake. For more info, check out the placebo effect. In short, this is when a person takes a fake pill and thinks they get better, and that positive mentality helps them actually get better.
If both the treatment and control groups improve (on average) together, then that means the fake pill is just as good as the real thing. Consequently, it means the real pill isn't effective at all. If on the other hand the experimental group does better overall compared to the control group, then we can see that the real pill is doing what it's intended to do. Of course, there are a lot of complicated factors involved, as there is with anything dealing with medicine. I haven't mentioned anything about side effects or things of that nature. In this simplified viewpoint of the world, we're only considering the one factor of whether or not the drug clears up the psoriasis on the skin.
To make things fair, it's best to randomly generate numbers so that you randomly assign people into each group. That way you have representative samples. Also, when drawing the sample of 100 people, make sure that's as random as possible to help represent the population as best as possible. The fact that the people in the control group not knowing that they are taking the fake pill means we have a single blind experiment. A double blind experiment is when even the researchers are not sure who is taking the real pill vs the fake pill. Double blind experiments are encouraged to prevent the researcher's bias from affecting the results.
To keep participants from knowing whether or not they are in the control group, the common solution is to provide a sugar pill. The pill will not cause any side effects and will not cause any improvements to health. It's simply sugar. To the participant, it seems like the real thing since they can't taste the difference or detect anything seems different.
Answer:
Randomly select a sample of people with psoriasis. Randomly assign them to one of two groups. Give one group the treatment, and withhold it from the other group. Give both groups similar looking pills, so neither knows which group they are in.
What is the distance between point (5, 9) and its reflection across the x-axis?
Answer:
10 units
Step-by-step explanation:
Jeff and George each have a box of popcorn. How much more popcorn does the bigger box hold than the smaller box?
Answer:
there in not enough information in your question to get an answer
Answer:
Part 1: Jeff Part 2: 130
Step-by-step explanation:
Shawn buys 15 shirts for a total of $60. Express this as an equation using 'X' as the cost of each shirt.
Answer:
15x = 60
Step-by-step explanation:
Hi,
We know he bought 15 shirts for an x amount of dollars, so 15 times however much they cost is 15x and the total is 60.
hope this helps :)
Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Executive Board has 4 student members: a President, a VP of Operations, a VP of Finance, and a VP of Administration. Reminder: no need to simplify your answers in this homework (unless problem explicitly says to).
a) How many ways are there to choose the Exec Board from all Rackham students?
b) How many ways are there to choose the Exec Board so that there is at least one masters student and one PhD student? (for any of the 4 positions)
c) How many ways are there to choose the Exec Board if the VP positions have to be PhD students (the president can be either a PhD or Masters student)?
d) How many ways are there to choose the Exec Board so that there is at least one masters student VP?
Answer:
a) 8,000!/(8000 - 4)! ways
b) 15,000,000 + 7998!/(7998 - 2)! ways
c) 5,000 + 7,999!/(7,999- 3)! ways
d) 3,000 + 7,999!/(7,999- 3)! ways
Step-by-step explanation:
The number of students at Rackham Graduate School = 8,000 students
The number of PhD students = 5,000
The number of masters students = 3,000
The number of student members of the Rackham Student Government Executive Board = 4 students
a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!
b) The number of ways of having one Master student in the board = 3,000 ways
The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways
The number of ways of selecting the remaining 2 members =
7998!/(7998 - 2)!
The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways
c) The number of ways of choosing the VP position as PhD = 5,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways
d) The number of ways of choosing a masters student as the VP position = 3,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways
34+35? :)))) answer immediately
Answer:
69
Step-by-step explanation:
30+30=60
4+5=9
60+9=69!
A researcher studies differences in career goals between boys and girls in middle school. All of the students in the seventh grade schools in a particular county answer a list of questions. What type of study is this?
A. Experiment
B. Sample Survey
C. Observational Study
D. Random Trial
Explanation:
When asking/answering questions like this, a survey is involved. It could be multiple choice or fill in the blank. Multiple choice may be the best way because it's easier to compare data results when you have only a few options. It also gives the computer an easier time too.
We aren't conducting an experiment since the researcher is not directly affecting the people, and instead letting them answer the questions without intervention. Also, note how we don't have two groups of treatment vs control. This is another indication we don't have an experiment.
An observational study is not being done here either. Yes the researcher is observing the survey results, but s/he is not making notes on the individuals before the survey is conducted (ie before the questions are asked). An example of an observational study is having the researcher make a tally of students' hair color. The researcher simply looks at each student, marks the correct tally, and doesn't need to ask the student a question. So you can see that the interactive question/answer portion is not present in an observational study.
The phrasing "random trial" is not a study type. When you hear "random trial" in the news, maybe for a new drug being developed, the news report is implying heavily that an experimental study had been done. This is true with all drug trials. One group is the treatment group that gets the actual drug, while the control group gets a fake drug. The control group thinks they get the actual drug, which is important because if they knew it was fake, then it would invalidate the study. I recommend researching the placebo affect for more information. The two group's results are then computed to see if the drug did in fact cause a change in the subjects or not. You would see this if there's a significant difference between the treatment and control group. Anyway, the "random trial" is not a study type but rather an aspect of an experimental study. It's possible your teacher put this in here to throw off students.
1) f(x) = 3*
f(x)
x
-1
0
1
2 3
1)f(×)=3*=f(×)=×-1 0 1=0.23
Write 8 1/5 as a fraction
Answer:
8.2
Step-by-step explanation:
let me know if its wrong
with one of these is a function
a
b
c
d
Answer:
It's B
Step-by-step explanation:
Answer:
B is a functional answer
Find the measure of 2.
50 2.
1130
< 2 =
[?]
You are traveling down a country road at a rate of 95 feet/sec when you see a large cow 300 feet in front of you and directly in your lane. The cow is fearless, and staring you down. (Or perhaps she does not understand the gravity of the situation.) Regardless, if you simply hit your brakes, after t seconds, the car will be j(t) = 95t - 9t^2 feet from the point where the brakes were first applied.
1) Must you steer to avoid the cow, or can you rely solely on your brakes? Explain.
2) Graph J(t), j'(t), and j"(t) and Interpret their meanings in context.
3) Is there a time t after which the graphs in part (ii) probably do not accurately model the path of the car?
4) Write a piece-wise function using j(t) that would more accurately model the path of the car on the interval [0, 10], assuming the car did not move after it stopped. Sketch this graph and its derivative.
Answer:
1) You can rely solely on your brakes because when doing so the car will just travel 250ft from the point you hit your brakes till the point the car stopped completely, leaving you 50ft away from the cow.
2) See attached picture.
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
Step-by-step explanation:
1) In this part of the problem we need to find the time when the speed of the car is 0. Gets to a complete stop. For this we will need to take the derivative of the position function so we get:
[tex]j(t)=95t-9t^2[/tex]
[tex]j'(t)=95-18t[/tex]
and we set the first derivative equal to zero so we get:
95-18t=0
and solve for t
-18t=-95
[tex]t=\frac{95}{18}[/tex]
t=5.28s
so now we calculate the position of the car after 5.28 seconds, so we get:
[tex]j(5.28)=95(5.28)-9(5.28)^{2}[/tex]
[tex]j(5.28)=250.69ft[/tex]
so we have that the car will stop 250.69ft after he hit the brakes, so there will be about 50ft between the car and the cow when the car stops completely, so he can rely just on the breaks.
2) For answer 2 I take the second derivative of the function so I get:
[tex]j(t)=95t-9t^{2}[/tex]
[tex]j'(t)=95-18t[/tex]
j"(t)=-18
and then we graph them. (See attached picture)
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
Tanner collected 360 cans and bottles while fundraising for his basketball team This was 40% less than what Reggie collected How many cans and bottles did Reggie collect?
Answer:
Reggie collected 504 cans and bottles.
Step-by-step explanation:
40%=.40
360*.40=144
360+144=504
Select the correct comparison.
Set A
Set B
.
....
24
8 10
4 6 8 12
A. The typical value and the spread are both greater in set B.
B. The typical value and the spread are both greater in set A.
C. The typical value is greater in set A. The spread is greater in set B.
D. The typical value is greater in set B. The spread is greater in set A.
Answer:i would say C ADHAKFFA
Step-by-step explanation:
Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =
Answer: lesser x = 1/5 greater x = 4
Step-by-step explanation:
Graph the inequality.
x > 4
Answer:
Step-by-step explanation:
Jose Luis desea colocar una línea de azulejos alrededor de toda la piscina de su casa. La piscina tiene forma rectangular con un ancho de 10 m y una longitud de 25 m. , ¿cuántos metros lineales de azulejos necesitará comprar?
Answer:
70
Step-by-step explanation:
2 x (25 + 10) = 2 x 35 = 70
What is the value of c so that −15 and 15 are both solutions of x^2−c=157?
Answer: -c= 157+X^2
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST!!
What is the value of j?
Answer:
21
Step-by-step explanation:
simply
the square represents 90 degrees and 90 - 61 is 21
How many joules of gravitational potential energy are stored in an object that has a mass of 8.5 kilograms and is held 2 meters above the surface of earth?
Answer:
I believe the answer is 166.6 Joules or (if rounding to the nearest whole number) 167 Joules.
Step-by-step explanation:
Here is the formula to find the gravitational potential energy of an object:
U = m * g * h (potential energy equals mass times gravitational acceleration * the height)
The mass is 8.5 kilograms, the height is 2 meters, and Earth's gravitational acceleration is always, no matter the other values or earthly situations, 9.8 m/s.
Now we solve:
8.5 * 9.8 * 2 = 166.6 which is rounded to 167 Joules.
Use the distributive property to simplify the following expression: 3 (2 + 5z)
identify the coefficeient following expression
6a+7
Answer:
6
Step-by-step explanation:
The coeffecient is the number next to the variable. Boom. Done.
Answer:
6
Step-by-step explanation:
a coefficient is a number in front (behind) the variable (ex. the coefficient in 2x is 2, and the variable is x)
i hope this helps :)
CL 6-153
In 2012 the average cost for a new midsized car was about
$31,000. New car prices tend to go up about 2% every year.
a. What is the multiplier for this situation?
b. If this trend continues, what will the cost be in 4 years?
c. Write an equation to calculate the cost in n years. What does
each of the factors in your equation represent?
Answer:
A) The multiplier for this situation is 0.02.
B) The cost in 4 years will be $ 33,555.39.
C) 31,000 x 1.02 ^ N = X
Step-by-step explanation:
Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:
A)
31,000 x 2/100 = X
31,000 x 0.02 = X
Thus, the multiplier for this situation is 0.02.
B)
31,000 x 1.02 ^ 4 = X
33,555.39 = X
Thus, the cost in 4 years will be $ 33,555.39.
C)
31,000 x 1.02 ^ N = X
Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.
The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.751.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
Step-by-step explanation:
Answer:
5.573.75
Step-by-step explanation:
because math
Plz answer will mark brainliest
Answer:
Step-by-step explanation:
w and d are the width and diagonal, respectively.
w = d/2 + 1 = (d+2)/2
Pythagorean theorem
w^2 + 8^2 = d^2
substitution
(d+2)^2/4 +64 = d^2
(d+2)^2 + 256 = 4d^2
d^2+4d+4 + 256 = 4d^2
3d^2-4d-260 = 0
Quadratic formula
d = [4±√( 4²-4(3)(-260))]/[2⋅3] = 10, -26/3
-26/3 is an extraneous solution, so d = 10 inches
w=d/2 +1 =6 inches
Ant‘s path = 8+6 = 14 inches
Beetle’s path = 10 inches
14 < 1.5(10)
Ant reaches food first.
6) Solve:
5x + 12 + 3x = 8x - 5
Answer: −17
Step-by-step explanation: ez
Gavin needs to buy candy for the 11 students in his class plus himself. Gavin and each student will get one bag of candy. He uses $20 to buy two different types of candy. Gavin buys x bags of gummy bears that cost $1.50 per bag and y bags of chocolates that cost $2.00 per bag. The system of equations used to represent this situation is graphed, as shown.
Answer:
20=1.50(6)+2.00(4)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Gina tosses a number cube 66 times. About how many times would you expect that Gina would toss a 6?
Answer:11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
its 11 because 66 divided by 6 = 11
Evaluate the formula for B = 9 in.2 and h = 32 in.
32 in.3
9.6 in.3
96 in.3
288 in.3
Answer:
is going to give you a decimal as then you divide it by 2 and then multiply that number by 4 hope this helps
Step-by-step explanation:
Answer:
is going to give you a decimal as then you divide it by 2 and then multiply that number by 4 hope this helps
Step-by-step explanation:
What is the slope of the line that goes through (-3, 2) and (3, 2)?
Answer:
m = 0
Step-by-step explanation:
Hope this helps:)
An electronics store is having a 15% off sale. Suppose the sale price(p) of a laptop is $495. Which statement are true for this stuation
A. P+ 0.15p represents the sales price
B. P- 0.15p represent the sales price
C. 0.85p represents the sales price
D. The sale price is 420.75
E. The sale price is 569.25
Answer:
The answer to the Question is D
Answer:
B, C, D
Step-by-step explanation:
If the sales price is 15% off, then the the price is .85(100-15%) of the price so c is true
this also makes b true. (100-15%) is p-.15
495 x .85 (100-15%)=420.75 so d is true