Answer:
10 units
Step-by-step explanation:
The distance from the point (0,0) to (10,0) is 10 units
a. First five terms: 9,13,17,21,25
b. Sum of first 25 terms = 1425
c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
Further explanation:
Given
Formula of sequence

<u>1. First 5 terms:</u>
For first 5 terms, we have to put n=1,2,...5,
So,

<u>2. Sum of first 25 terms:</u>
For that we have to find 25th term first

The formula for sum is:

<u>3. Type of sequence</u>
The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
i.e.

Keywords: Arithmetic sequence, Sum of arithmetic sequence
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Answer: 0.1353
Step-by-step explanation:
Given : The mean of failures = 0.025 per hour.
Then for 8 hours , the mean of failures =
per eight hours.
Let X be the number of failures.
The formula to calculate the Poisson distribution is given by :_

Now, the probability that the instrument does not fail in an 8-hour shift :-

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353