First, to set up consecutive odd or even integers you have to add 2 to the previous integer.
Let x be the first integer,
(x + 2), (x + 4), and (x + 6)
Now set up the parameters they give:
3(x + x + 2) = x + 6 - 25
Solving:
Combine like terms and distribute on the left, combine like terms on the right.
3(2x + 2) = x - 19
6x + 6 = x - 19
Subtract x from both sides and subtract 6 from both sides.
5x = -25
Divide both sides by 5
x = -5
x + 2 = -5 + 2 = -3
x + 4 = -5 + 4 = -1
x + 6 = -5 + 6 = 1
Check:
3(-5 + -3) ?=? 1 - 25
-24 ?=? -24 CORRECT
Answer:
1.D) Procedure results in a binomial distribution.
2. B) Procedure results in a binomial distribution.
Step-by-step explanation:
The binomial distributions has following properties.
- There is always one of the two outcomes success or failure possible.
- The probability of p remains constant for all trials.
- The successive trials are all independent.
- The experiment is repeated for a fixed number of times.
If the experiment has the above properties it has binomial probability distribution.
In the given question both experiments have the above mentioned properties.
Both procedure result in binomial distribution.
The exact slope is impossible to know for sure, because the function is not written out explicitly. (If we did, we could just do dV/dt evaluated at t = 10.)
However, you can estimate the slope at P by finding the average rate of change between t=5 and t=15, or by taking the average of the slopes of the adjacent secants. There are several ways to approximate the answer, but I don’t think you can find its exact value.
