Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
Answer:
<A = right angle
<B = acute angle
<C = obtuse angle
<D = acute angle
Step-by-step explanation:
Right angle = 90 degrees
Acute angle = less than 90 degrees
Obtuse angle = more than 90 degrees
Answer:
The events being a heavy smoker and having emphysema are not independent.
Step-by-step explanation:
We are given the following in the question:
Number of women = 2000
Number of heavy smoker = 340
Number of women who has emphysema = 25
Number of women who has emphysema and are heavy smoker = 21
P(Smoker) =
P(emphysema) =
P(Smoker and emphysema) =
Two events A and B are said to be independent if
Checking conditions for independence:
Thus, the events being a heavy smoker and having emphysema are not independent.
Answer: Cluster sampling
Step-by-step explanation:
Cluster sampling is a type of sampling method . With cluster sampling, the observer splits the population into separate groups which are called as called clusters. After dividing the whole populations into clusters he select a simple random sample of clusters from the population. The observer conducts his analysis on data from the sampled clusters.
From the given statement we can see that the automobile is doing his analysis by selecting three stores from each state (cluster) in the country and surveys all customers present in the store in a certain week.
Hence, he used cluster sampling .
Value & height hope this helpedddddf
