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Karolina [17]
3 years ago
8

Consider the following statement. Five less than 4 times a number equals 2 more than 3 times the number. a. Write an equation to

represent the statement. Use n for the unknown number. b. Solve the equation. c. Explain how you solved the equation.
Mathematics
2 answers:
stich3 [128]3 years ago
7 0
4n-5 = 3n+2  thats taking the word problem and writing it out
Now solve

4n-5=3n+2
n = 7
prisoha [69]3 years ago
5 0

n  = unknown number

5 less than 4 times a number = 4n-5

2 more than 3 times a number = 3n+2

 so you have 4n-5 = 3n +2

add 5 to both sides:

4n=3n+7

subtract 3n from both sides:

n = 7


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-18 is an integer
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Quit Smoking: The New England Journal of Medicine published the results of a double-blind, placebo-controlled experiment to stud
Juliette [100K]

Answer:

Option A is correct.

In this experiment the nicotine treatment had a higher success rate than the placebo group, but the improvement was less than 1%. It was exactly 0.8%

Step-by-step explanation:

In a drug treatment experiment, there are usually two groups.

- The treatment group; they get the full dosage and content of the drug to be tested.

- The placebo group; here, they sort of serve as the control group. They get the dosage of the drug to be tested with the active ingredient of the drug removed.

Double blind means that both the participants and the conductors do not know which members belong to which treatment group. It is used to increase the randomness of the sampling technique.

For this experiment, nicotine patches, antidepressants and bupropion are used to help people quit smoking.

It is explained that the the rate at which the participants quit smoking is recorded and at the end, a sample mean is obtained.

The difference in sample means of both groups is then obtained by solving

(Rate of quit smoking for the treatment group) - (Rate of quit smoking for the placebo group)

This difference was obtained to be positive 0.8%. It is evident that this figure represents a higher success rate for the treatment group than the placebo group, but the improvement was less than 1%. (0.8%).

All the other options are either incorrect or not clearly stated in the description ofthe experiment.

- In this experiment, the placebo group had a higher success rate than the nicotine group by 0.8%.

This is obviously not true, it is the reverse of the true statement.

- Nicotine patches will produce a slightly higher success rate when compared to a placebo, but the difference is not statistically significant.

This started with a true statement bit it ended with a statement we cannot confirm because we don't know the sample size for either of the groups involved in the experiment. So, it isn't totally true.

- Nicotine patches and the antidepressant bupropion work equally well on "quit smoking" rates.

They don't have an equal rate of working. The nicotine slightly works better as stated in the question.

Hope this Helps!!!

5 0
3 years ago
Help asap pls !!!!!!
Agata [3.3K]

Answer:

(a) sa = 251.33 cm

(b) v = 235.6 cm^3

(c) 1; doubling the radius to 10 cm while the height remains at 3 cm

Step-by-step explanation:

8 0
2 years ago
Which relation is a function of x? ​
tester [92]
No need to look at the first two. It’s the third choice, the graph. Easily to tell if a graph is a function, draw lines down the x axis. A single line should not touch the line on the graph more than once. Also called the vertical line test. Therefore the answer is the graph. The first one is definitely wrong because all the x are the same. So if you were to draw a line down the x axis at 0, that line would touch all points there.
7 0
3 years ago
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