C and B is proportional relationships , because the proportional relationships always start at zero and the line must be straight !
Answer:
A. there is a 99% probability that μ is between 3 and 9.
Step-by-step explanation:
From a random sample, we build a confidence interval, with a confidence level of x%.
The interpretation is that we are x% sure that the interval contains the true mean of the population.
In this problem:
99% confidence interval.
6 ± 3.
So between 6-3 = 3 and 6 + 3 = 9.
So we are 99% sure that the true population mean is between 3 and 9.
So the correct answer is:
A. there is a 99% probability that μ is between 3 and 9.
Answer:
<h2>Area = 90 cm²</h2><h2>Perimeter = 53 cm</h2>
Step-by-step explanation:
area and perimeter of the given diagram
<u>area = 1/2 * base * height</u>
where base = 15 cm
height = 12 cm
plugin values into the formula
area = 1/2 * 15 * 12
area = 90 cm²
<u>Perimeter = add up all sides (AB + AC + BC)</u>
where side BC = √(5² + 12²)
BC = 13 cm
Perimeter = 25cm + 15 cm + 13 cm
Perimeter = 53 cm
Answer:
-3
Step-by-step explanation:
It would just be -12+9=-3.
This is a system of equations. We solve it by setting it up so that when we add the two equations together, one of the variables will cancel out. We can do this by multiplying the bottom equation by 3. This will make our system of equations equal:
3a + b + 225
-3a + 3b = 75
Now we add these two equations together, because the a terms will cancel out.
4b = 300.
We can find what b is by dividing both sides by 4.
b = 75
Next, we plug in b in one of the equations and solve for a. You can use either equation, but I will use the second.
75 - a = 25
Subtract 25 from both sides and add a to both sides:
a = 50
So, the first option is correct. A = 50 and b = 75.