At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are
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Response:
Events A and B exhibit independence.
Detailed explanation:
We are provided with
The multiplication principle applicable to events A and B
A correct assertion regarding events A and B is necessary for this principle to hold.
It is understood that for two events A and B to be independent
Consequently, the probability
Thus, the correct assertion concerning events A and B for the application of this principle is stated as
Events A and B are independent.
Answer:
The cost difference per mile between the two companies is $0.12.
Step-by-step explanation:
Gabi formulates the equation to determine after how many miles, denoted as m, the charges of both companies will be equal.
The first company levies for m miles traveled.
The second company's charge for the same m miles is .
In these equations, the figures 7.20 and 8.40 signify the initial fees the companies impose.
The values 0.22 and 0.1 represent the respective costs per mile.
As such, the disparity in per-mile charges amounts to .
An alternative method to tackle this problem is by calculating the per-mile rate for each company:
1. Cost per mile for the first company
2. Cost per mile for the second company
3. The difference:
∠ROT=160°
∠SOT=100°
Now we calculate ∠SOR as follows: ∠SOR = ∠ROT - ∠SOT
∠SOR = 160° - 100°
∠SOR = 60°
It is stated that the angles ROQ, QOS, and POT all have the same measure.
Thus, ∠SOQ + ∠QOR = 60°
Since ∠SOQ equals ∠QOR, we can express this as:
2∠SOQ = 60°
From which we find ∠SOQ = 60° ÷ 2
∠SOQ = 30°
Also, ∠POT = ∠SOQ = ∠ROQ = 30°
