Answer:
a₆ = 54
Step-by-step explanation:
The general term of an arithmetic sequence is:
where, is the first term and
is the common difference.
The term of the sequence is given by .
Therefore,
∴ a₆ = 54
Answer:
a) {3,6,9}
Step-by-step explanation:
multiples of 3=3,6,9
multiples of 2=2,4,6,8,10
b) a n b = {6}
Answer:
7.64% probability that they spend less than $160 on back-to-college electronics
Step-by-step explanation:
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.
In this problem, we have that:
Probability that they spend less than $160 on back-to-college electronics
This is the pvalue of Z when X = 160. So
has a pvalue of 0.0763
7.64% probability that they spend less than $160 on back-to-college electronics