If you can these questions hElp I think 7 is B but am not 100% sure
1 answer:
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Answer:
=
+ 3 ; a₁ = 1
Step-by-step explanation:
Given
1, 4, 7, 10, 13, 16, ......
Note the difference in consecutive terms is constant, that is
4 - 1 = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3
Thus to obtain the next term in the sequence ( recursive formula )
Add 3 to the previous term
=
+ 3 ( with a₁ = 1 )
Answer:
0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct
Step-by-step explanation:
To solve this question, we need 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 variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct?
This is the pvalue of Z when X = 48101. So
By the Central Limit Theorem
has a pvalue of 0.0091
0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct
Answer:
124
Step-by-step explanation:
is in the photo
i hope this helps :)
