Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge
nce.Σ (x^2k+1)/(11^k-1)a. The interval of convergence is:________b. The radius of convergence is R:_______
1 answer:
You might be interested in
Answer:
97.72% probability that their mean body temperature is greater than 98.4degrees° F.
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
If 36 adults are randomly selected, find the probability that their mean body temperature is greater than 98.4degrees° F.
This is 1 subtracted by the pvalue of Z when X = 98.4. So
By the Central Limit Theorem
has a pvalue of 0.0228
1 - 0.0228 = 0.9772
97.72% probability that their mean body temperature is greater than 98.4degrees° F.
Answer:
35) A. 21.2
46) D. 4/7
30) B. 4.4
42) C. Prism
Step-by-step explanation:
35) see first two attached files. 134.3 - 113.1 = 21.2
46) see third attached file. 4/7 = .5714 ish and 112 pi = 351.59 ish
30) see fourth attached file.
42) prisms are in no way circular so it cant have a circular base when cut
Already did this but may as well get the points haha
Given:
To find:
The value of f(12).
Explanation:
Substituting x = 12 we get
That means,
The total cost for renting a townhouse for 12 months is $11250.
Where f(12) represents the total cost of renting a townhouse for 12 months.
Final answer:
• The value is,
• The value f(12) represents the total cost of renting a townhouse for 12 months.
That is, the total cost for 12 months is $11250.