Answer the following 13,10,7,4,...what is its explicit equation
1 answer:
This is an arithmetic sequence.
The numbers differ by a constant.
The general form of an arithmetic sequence is:
Where
a is first term
n is nth term
d is the common difference
Looking at the sequence, we can say the common difference is -3 [since 3 is subtracted from a term to get the next term]
Also, first term is 13
Now, we plug into formula:
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Answer:
The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.
Step-by-step explanation:
Problems of normally distributed samples are 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:
Find the highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10%.
This is the 10th percentile, which is X when Z has a pvalue of 0.1. So X when Z = -1.28.
The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.
Answer:
Katie will collect more than 100 seashells in 5 and a half days.
Step-by-step explanation:
Katie already has 34 seashells in her collection.
Each day, she finds 12 more seashells on the beach.
Let x be the number of days Katie is collecting seashells.
In x days, she will collect 12x seashells.
In total, she will collect seashells.
Katie wants to collect over 100 seashells, so
Solve this inequality. Subtract 34:
Katie will collect more than 100 seashells in 5 and a half days.