For function one, the slope is already in mx+b form. The coefficient to x is the slope, so it is four in this case. For the second function we calculate the slope using rise over run. The rise is change in y and run is change in x, so 4/2= 2 slope. Four is greater than two so it has the greater rate of change. The answer is B
Answer:
he would have had to run 20 more feet then Juan
Step-by-step explanation:
The trampoline is a circle, so you use A=πr².
Plug in 112.07 in for A since it's the area.
Divide both sides by π to get 35.69.
Take the square root to get 5.97.
Answer:
185 1/16
Step-by-step explanation:
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.
