Answer:
a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
(b) A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
Step-by-step explanation:
A sequence is a list of numbers in which the order of numbers listed is important, so for instance;
1, 2, 3, 4, 5, ...
is one sequence, and
2, 1, 4, 3, 6, 5, ...
is an entirely different sequence.
A series is a sum of numbers in a list. For example,
1 + 1/2 + 1/4 + 1/8 + 1/16 + ...
is an example of a series. A series is composed of a sequence of
terms that are added up.
A divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit. If a series converges, the individual terms of the series must approach zero.
so the first option: sec A = 11 over 3
Answer:
because in first expressions they common out x and y and then it get cancel out
Step-by-step explanation:
See answer in above picture
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Answer:
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Step-by-step explanation:
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