We can figure this out using the explicit formula.
n represents the term we are looking for.f(1) represents the first term in the sequence, which in this case, is -242.d represents the common difference, which in this case, is -9.
f(n) = -242 + -9(n - 1)
f(n) = -242 - 9n + 9
f(n) = -233 - 9n
Now, we can input 28 for n and solve.
f(28) = -233 - 9(28)
f(28) = -233 - 252
f(28) = -485
The 28th term of the sequence is -485.
Answer:
both rates of change equal the slope of the line (3/4)
Step-by-step explanation:
Part a)
We calculate the rate of change using the formula:
for the first interval [0,6], we calculate the y-values at x=0 and x=6;
at x=0 : 
at x=6 : 
therefore, the rate of change in this interval is: 
For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;
at x=-4 : 
at x=4 : 
therefore, the rate of change in this interval is: 
Part b):
Notice that both rates of change equal the value of the slope of the linear function (3/2)
Answer:
The method regarding the sampling to pick 200 sales representative is to make 20 groups of 10.
What is sampling?
Sampling simply means a process that's used in statistics where a predetermined number of observations are selected from the larger population.
In this case, the best way for the sales director to include 200 sales representatives, with an equal number from each region is simply to make 20 groups of 10.
Step-by-step explanation: correct on plato:)
It equals to 3/5 and in alternative form is 0.6
Answer:
Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %
Step-by-step explanation:
We are given the following in the question:
Mean storage capacity = 60 ampere-hour
95% confidence interval =
Thus, the correct answer based on the confidence interval is
Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %
Since it is a two sided test we test whether the mean storage capacity is 60 Ah or different than 60 Ah
Thus, the battery storage is different from 60 Ah because the mean storage capacity does not lie in the 95% confidence interval.
