Answer:
B
Step-by-step explanation:
7+r=15
-7 -7
r = 8
B.8
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Answer:
Step-by-step explanation:
<u>Given</u>
- Total 17 marbles
- 4 - blue marbles
- 6 - green marbles
- 2 - red marbles
- The rest - yellow marbles
<u>Probability of drawing red first:</u>
- P(red) = number of red / total number = 2/17
<u>Probability of drawing green second, without replacement:</u>
- P(green) = number of green / number left in the bag = 6/16 = 3/8
<u>Probability of red and green in order:</u>
- P = P(red)*P(green) = 2/17*3/8 = 3/68
5 because it appears most
Mode is most
