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: Solve for X
4x−5y<1
Step-by-step explanation:
step 1 add 5y to each side
4x−5y+5y<1+5y
4x<5y+1
Step 2: Divide both sides by 4.
4x4<5y+14
x<54y+14
Answer:
x<54y+14
Let's solve for x.
12y−x<3
Step 1: Add (-1)/2y to both sides.
−x+12y+−12y<3+−12y
−x<−12y+3
Step 2: Divide both sides by -1.
−x−1<−12y+3−1
x>12y−3
Answer:
x>12y−3
now just graph 4x-5y<1 shows the given inequalities in slope -intercep form.
Answer:
The volume will be 8 times larger.
Step-by-step explanation:
Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8
Answer:
1764 x 17 = 29,988
Answer:
Cost per ounce = $0.07 (7 cents per ounce)
Step-by-step explanation:
Each container is 7.8 ounces and there are 24 of them in a case.
<u>Total weight</u> in ounce of the case is:
7.8 * 24 = 187.2 ounces
It costs $12.99 for the case, which contains 187.2 ounces. We find the cost per ounce of yogurt by dividing the total cost by total ounces in the case.
12.99/187.2 = 0.0693
Rounded to nearest cent (2 decimal places), that would be:
Cost per ounce = $0.07 (7 cents per ounce)
