Write the sum of the numbers as the product of their gcf and another sum Problem: 30+54
1 answer:
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Answer:
<em>Answer: D</em>
Step-by-step explanation:
<u>Arithmetic Sequences </u>
The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the arithmetic sequence:
10, 12, 14, 16, ...
Where a1=10 and
r = 12 - 10 = 2
Thus the general term is:
Operating:
Answer: D
Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The probability of a bulb lasting for at most 569 hours is the <u>p-value of Z when X = 569</u>, hence:
Z = 1.16
Z = 1.16 has a p-value of 0.877.
0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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