Answer:
(3, 0)
Step-by-step explanation:
Given the inequality y > -2x + 3 and y ≤ x - 2
The graph of the inequalities are plotted using the geogebra graphing online calculator.
The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.
All the ordered pair points given in the question are also labelled in the graph.
From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.
Answer:

Step-by-step explanation:
move variable to the right-hand side and change its sign

divide both sides of the equation

287.496 in^3 since you take 6.6 * 6.6 *6.6 that should give you your answer
Answer:
The events being a heavy smoker and having emphysema are not independent.
Step-by-step explanation:
We are given the following in the question:
Number of women = 2000
Number of heavy smoker = 340
Number of women who has emphysema = 25
Number of women who has emphysema and are heavy smoker = 21
P(Smoker) =

P(emphysema) =

P(Smoker and emphysema) =

Two events A and B are said to be independent if

Checking conditions for independence:

Thus, the events being a heavy smoker and having emphysema are not independent.
Answer:
The 95% confidence interval is "87.94, 91.86".
Step-by-step explanation:
The given values are:
Sample batches,
n = 25
Sample mean concentration,
= 89.9 mg
Amount of chemical,
σ = 5
α = 0.05
The critical value from Z table will be:
= 
= 
= 
Now,
The confidence interval will be:
= 
On substituting the values, we get
= 
= 
= 
Lower limit will be:
= 
= 
Upper limit will be:
= 
= 