Answer:
21
Step-by-step explanation:
Given,
- Number of red marble = 4
- number of green marble = 3
- number of transparent marble = 1
- number of yellow marble = 3
- number of orange marble = 3
Total number of marble except red and green = 3 +3+1
= 7
So, the total number of possible sets of five marbles such that none of them are green or red can be given by




= 21
So, the required number of possible sets are 21.
Answer:
16.1 Inches
Step-by-step explanation:
In ΔKLM,
∠K+∠L+∠M=180°
∠K+161°+18°=180°
∠K+179°=180°
∠K=180°-179°=1°
To determine k in the diagram, we use the Law of Sines.


k X Sin 161°=300 X sin 1°
k=(300 X sin 1°)÷sin 161°
k=16.1 inches (correct to the nearest tenth of an inch)
Answer:
1
Step-by-step explanation:
See attached image for explanation.
Answer:
P(A) = p1
(1 − q1q2)
Step-by-step explanation:
Let A = player A wins,
then P(A) = p1 + (1 − p1)(1 − p2)P(A)
⇒ P(A) = p1
(1 − q1q2)
Answer:
[1] 9x - 4y = 7
[2] x - 4y = -17
[2] x = 4y - 17
// Plug this in for variable x in equation [1]
[1] 9•(4y-17) - 4y = 7
[1] 32y = 160
// Solve equation [1] for the variable y
[1] 32y = 160
[1] y = 5
// By now we know this much :
x = 4y-17
y = 5
// Use the y value to solve for x
x = 4(5)-17 = 3
Step-by-step explanation: