Response:
The connection between battery capacity and time is:
The associated graph is provided.
Step-by-step explanation:
We will plot the battery's charged capacity against time.
The charging rate remains steady; hence, the relationship is linear.
Initially, at time t=0, the battery's capacity measures 0.2 (or 20%).
With each passing minute, an additional 5% of its capacity is accumulated. Thus, at t=1, the capacity becomes 0.2 + 0.05 = 0.25 (or 25%).
We can derive the slope for the linear function as:
Consequently, the correlation between battery capacity and time is:
Step-by-step explanation:
a) 7!
In absence of any restrictions, the answer is 7! as it represents the permutations of all animals.
b) 4! x 3!
Considering there are 6 cats and 5 dogs, the first and last slots must be occupied by cats to ensure alternate arrangements. The only options available then are based on the arrangement of the cats among themselves and the dogs among themselves, yielding 4! permutations for the cats and 3! for the dogs, thus leading to a total of 4! x 3! arrangements.
c) 3! x 5!
Here, the arrangement of the dogs among themselves can occur in 3! ways. Considering the dogs as a singular “object,” we can arrange this unit with the 4 cats, providing 5! total arrangements possible, leading to 3! · 5! arrangement possibilities.
d) 2 x 4! x 3!
In this scenario, both cats and dogs must be grouped together, allowing positions where all cats come before the dogs or vice versa. As there are two configurations, the resultant count is 2 multiplied by both arrangements, resulting in 2 x 4! x 3!
Answer:
-14x is different from 12x², thus they cannot be combined.
To avoid this mistake, ensure that similar terms are properly aligned.
Step-by-step explanation:
A normal distribution is most effective when dealing with a substantial sample size. Without knowing how many containers there are, it's challenging to determine if it’s suitable for modeling the container weights.
Response: I believe it is 1,3,4
Detailed explanation:
