Lactose intolerance causes difficulty in digesting dairy products that contain lactose (milk sugar). It is particularly common among people of African and Asian ancestry. In the United States (not including other groups and people who consider themselves to belong to more than one race), 47% of the population is white, 35% Hispanic, 14% is black, and 4% is Asian. Moreover, 15% of whites, 20% Hispanic, 70% of blacks, and 90% of Asians are lactose intolerant. Suppose we select a U. S. person at random.

1. White:47%
2. White lactose intolerant:15%
3. NOT lactose intolerant:85%
4. Hispanic:35%
5. Hispanic lactose intolerant:20%
6. NOT lactose intolerant:__%
7. Black:14%
8. Black lactose intolerant:70%
9. NOT lactose intolerant: 30%
10. Asian:4%
11. Asian lactose intolerant:90%
12. NOT lactose intolerant:10%

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

yes

step-by-step explanation:

yes

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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