Since 2x+y>4 you get y>4-2x. Then you draw the line y=4-2x then you are interested in everything above the line not including it since it is y>4-2x so it is a dashed line. You need to shade the side that satifies the inequality and since it is every pair (x,y) where y>4-2x, you need to shade everything above the line which is the side that does not include the origin. So the answer is C.

7 0

3 years ago

What percent of 48 is 54

lisov135 [29]

$\begin{array}{ccc}48&-&100\%\\54&-&p\%\end{array}\ \ \ |cross\ multiply\\\\48p=54\cdot100\\48p=5400\ \ \ \ |divide\ both\ sides\ by\ 48\\\boxed{p=112.5}$

Answer: 54 is 112.5% of 48.

4 0

3 years ago

Suppose that a school has 20 classes: 16 with 25 students in each, three with 100 students in each, and one with 300 students, f

astraxan [27]

Answer

a) y | p(y)

25 | 0.8

100 | 0.15

300 | 0.05

E(y) = ∑ y . p(y)

E(y) = 25 × 0.8 + 100 × 0.15 + 300 × 0.05

E(y) = 50

average class size equal to E(y) = 50

b) y | p(y)

25 | $\dfrac{16\times 25}{1000}=0.4$

100 | $\dfrac{3\times 100}{1000}=0.3$

300 | $\dfrac{1\times 300}{1000}=0.3$

E(y) = ∑ y . p(y)

E(y) = 25 × 0.4 + 100 × 0.3 + 300 × 0.3

E(y) = 130

average class size equal to E(y) = 130

c) Average Student in the class in a school = 50

Average student at the school has student = 130

5 0

3 years ago