Answer:
x = -2
Step-by-step explanation:
3(-2 - 3x) = -9x - 4 (Given)
3(-2) + 3(-3x) = -9x - 4 (Distributive Property of Equality)
-6 + 9x = -9x - 4 (Simplify)
-6 + 4 -9x= -9x - 4 + 4 (Addition Property of Equality)
-2 + 9x = -9x (Simplify)
-2 + (Division Property of Equality)
-2 = x (Simplify)
x = -2 (Symmetric Property of Equality)
Answer:
The required number of ropes is 9.
Step-by-step explanation:
The length of rope is 65 ft.
The distance to the base of cliff was 585 ft.
Let the number of ropes or same lengths did it take climber to reach descent be x.
Divide both sides of 65.
Therefore the required number of ropes is 9.
Answer:
a) α should be larger than β
Step-by-step explanation:
a) Refer to the diagram attached to the bottom of this answer. Given that the tumor is cancerous (that is saying that α happens), there are other events different than β in that event space, so β should be smaller than α.
b) Using the diagram again, we can see that the probability of β happening is the product of α and the probability that the coin shows tails, which is 0.5, then:
β = 0.5·α
which proves β is half of α, hence α is larger.
