Answer:
0.3 years
Step-by-step explanation:
With problems like these, I always like to start by breaking down the information into smaller pieces.
μ = 13.6
σ = 3.0
Survey of 100 self-employed people
(random variable) X = # of years of education
So now we have some notation, where μ represents population mean and σ represents population standard deviation. Hopefully, you already know that the sample mean of x-bar is the same as the population mean, so x-bar = 13.6. Now, the question asks us what the standard deviation is. Since the sample here is random, we can use the Central Limit Theorem, which allows us to guess that a distribution will be approximately normal for large sample sizes (that is, n ≥ 30). In this case, our sample size is 100, so that is satisfied. We're also told our sample is random, so we're good there, too. Now all we have to do is plug some stuff in.
The Central Limit Theorem says that for large values of n, x-bar follows an approximately normal distribution with sample mean = μ and sample standard deviation = σ/√n. So, with that info, all we need to do to find the standard deviation of x-bar is to plug our σ and n into the above formula.
σ(x-bar) = σ/√n
σ(x-bar) = 3.0/√100
σ(x-bar) = 0.3
So your answer here is .3 years.
Answer:
x=12
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
5x+8x+2x =180
Combine like terms
15x = 180
Divide by 15 on each side
15x/15 =180/15
x=12
The equation that models the number of students who live in apartments will be 6n + 15
<h3>How to illustrate the equation?</h3>
Total number of students T = 17n + 23
Students who live in dorm rooms on campus D = 11n + 8.
Therefore, the students who live in apartments will be:
= 17n + 23 - (11n + 8)
= 6n + 15
In order to predict the number of students who will live on campus in 2020, we will need the students that do not share dorm rooms.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Answer:
(b) 0.30 atm
Step-by-step explanation:
Given data
Initial pressure= 1.2atm
Initial volume= 1.0L
Final volume= 4.0L
Final pressure= ???
Let us apply the gas formula to find the Final pressure
P1V1= P2V2
Substitute
1.2*1= x*4
Divide both sides by 4
1.2/4= x
x= 0.3atm
Hence the final pressure is 0.3 atm
The final answer is (-25)
