What is the equation of the parabola that has its vertex at (8,-1) and a y-intercept of
1 answer:
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Answer:
128
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 2 = 20 - 11 = 9
This indicates the sequence is arithmetic with n th term
= t₁ + (n - 1)d
where t₁ is the first term and d the common difference
Here t₁ = 2 and d = 9 , thus
t₁₅ = 2 + (14 × 9) = 2 + 126 = 128
Answer:
40.13% probability that 9 randomly selected packages will have an average weight in excess of 16.025 ounces
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
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.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random normally distributed variable X, with mean and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that 9 randomly selected packages will have an average weight in excess of 16.025 ounces
This is 1 subtracted by the pvalue of Z when X = 16.025. So
By the Central Limit Theorem
has a pvalue of 0.5987
1 - 0.5987 = 0.4013
40.13% probability that 9 randomly selected packages will have an average weight in excess of 16.025 ounces