A. since they choose 4 people to form the committee and all the people chosen are teachers
from 5 teacher, we choose 4, 5C4
and
from 20 parents, we choose none, 20C0
5C4*20C0= 5
b. from 5 teacher choose 2, 5C2
and
from 20 parents choose 2, 20C2
5C2 * 20C2=1900
c.all parents
from 5 teachers choose 0, 5C0
and
from 20 parents choose 4, 20C4
5C0 * 20C4= 4845
d. from 5 teacher choose 1, 5C1
and
from 20 parents choose 3, 20C3
5C1 * 20C3= 5700
Answer:
See attached picture.
Step-by-step explanation:
To graph the inequality, use the y = mx + b form for linear equations. Here y > -x + 3 has slope of -1 and y-intercept of 3. Plot a point at (0,3) and move down 1 unit and 1 unit to the right. Plot a new point at (1,2). Connect the points with a dashed line. A dashed line is used for all inequalities which are not equal to. Finally, shade one side of the line. To determine which side, test a point not on the line. Shade the side which makes the inequality true.
y > -x + 3 test (0,0)
0 > -0 + 3
0 > 3 is false
Shade the side that does not have (0,0).
Volume of the conical tank = 1/3pi*r^2 * h = 1/3pi * (10/2)^2 * 15 = 125pi cubic feet or 392.7 cubic feet = 392.7 * 7.48 gallons = 2937 gallons.
Volume of the hemispherical tank = 2/3pi * r^3 = 2/3pi * (5.5)^3 = 348.5 cubic feet = 348.5 * 7.8 gallons = 2606 gallons
Hence the conical tank will contain more chemicals
3/10 is the fraction because 3 + 7 is 10 and the ratio is 3