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UkoKoshka [18]
2 years ago
8

Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this ques

tion to an SRS of 172 undergraduates at a large university: ""You witness two students cheating on a quiz. Do you go to the professor?"" Only 19 answered ""Yes.""12
Mathematics
1 answer:
KonstantinChe [14]2 years ago
7 0

Answer:

0.1105

Step-by-step explanation:

We know that question about reporting a cheating is asked to 172 students.

So the sample size would be n=172.

Out of 172 undergraduate students only 19 students answered "yes". It means that only 19 out of 172 students are willing to report cheating and so x=19.

According to definition of proportion

proportion=number of favorable outcome/total number of outcome

p=x/n

we are given that x=19 and n=172 so,

p=19/172=0.1105.

Hence according to given data 11.05% of students are wiling to report cheating by other students.

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2m = 1 + m what do I need to do to solve
devlian [24]

So all you need to do is subtract m from both sides.

Then you have your answer

m = 1

I hope this helps

-ayden

4 0
2 years ago
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Round 4.392 to the nearest tenth​
Allisa [31]

Answer:4.4

Step-by-step explanation:

The tenths place is  the first number after the decimal  which is the number 3 the hunderds place will tell you if your going to round up if the number is above 5 the tens goes up one so since the next number is 9 so the 3 becomes a 4.

6 0
2 years ago
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According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not
Lorico [155]

Answer and Step-by-step explanation:

From the question statement we get know that it is Binomial distribution because there are only two possible outcomes so we need to use Binomial Probability Distribution for this question.

Formula for the Binomial Probability Distribution:

P(X)=   p^x q^(n-x)

Where,

  • C_x^n=n!/(n-x)!x!   (i.e. combination)
  • x= total number of successes
  • p=probability of success (p=1-q)  
  • q=probability of failure (q=1-p)
  • n=number of trials
  • P(X)= probability of total number of successes

Answer and explanation for each part of the question are as follow:

a.What is the probability that among 10 randomly observed individuals exactly 4 do not cover their mouth when sneezing?

Solution:

Given that

n=10  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=4 (number of successes i.e. individuals not covering their mouths)

C_x^n=n!/(n-x)!x!=10!/(10-4)!4!=210

P(X)=C_x^n   p^x q^(n-x)=210×〖(0.267)〗^4×〖0.733〗^(10-4)

P(X)=210×0.00508×0.155  

P(X)=0.165465  

b. What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?

Solution:

Given that

n=10  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=3 (number of successes i.e. individuals not covering their mouths)

C_x^n=n!/(n-x)!x!=10!/(10-3)!3!=120

P(X)=C_x^n   p^x q^(n-x)=120×(0.267)^3×〖0.733〗^(10-3)

P(X)=120×0.01903×0.1136  

P(X)=0.25962  

c. Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? why?

Solution:

Given that

n=18  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=9 (x is the number of successes “number of individuals not covering their mouths when sneezing”, if less than half cover their mouth then more than half will not cover), so let x=9

C_x^n=n!/(n-x)!x!=18!/(18-9)!9!=48620

P(X)=48620×(0.267)^9×〖0.733〗^(18-9)  

P(X)=48620×0.00000689×0.0610  

P(X)=0.020  

Yes, I am surprised that probability of less than 9 individuals covering their mouth when sneezing is 0.020. Which is extremely is small.

3 0
3 years ago
State restrictions for the given equation below
Genrish500 [490]

The restriction of the given equation is cos^{2}x =cos^{2} x,  other than 0≤x≤2π.

What is restriction of equation?

Restriction of the equation is the value of domain where the value is limited.

Given,

sin^{2} xcos^{2}x +cos^4x =(1-sinx)(1+sinx)

taking cos^2x common, we get

cos^2x(sin^2x+cos^2x)=1+sinx-sinx-sin^2x

we know

sin^2x+cos^2x=1\\cos^2x=1-sin^2x

we get,

cos^2x=cos^2x

and the restriction is 0≤x≤2π.

To know more restriction, visit:

brainly.com/question/68084

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8 0
8 months ago
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her
grigory [225]

Answer:

$12 per hour

Step-by-step explanation:

In order to find her hourly rate we have to find the amount of dollars billed per hour. To do this we can use this expression: \frac{y2 - y1}{x2 - x1}

Let's use the points (1, 27) and (2, 39) in the expression:

\frac{39 - 27}{2 -1}

Now let's simplify the expression:

39 - 27 = 12

2 - 1 = 1

The expression simplifies to 12/1, or 12. This means that Brenda is billed $12 every hour she uses her phone.

I hope this helps :)

6 0
3 years ago
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