Ppppplease help me asap!!! 15 points!!!!!
2 answers:
Mark was making a ramp for handicapped people. The board he used was 26 feet long. From the bottom of the curb to the bottom of the ramp was 24 feet. How tall is ramp suppose to be?
A^2 + B^2 = C^2
A^2 + 24^2 = 26^2
A^2 + 576 = 676
A^2 + 576 - 576 = 676 - 576
A^2 + 0 = 100
100 square rooted = 10
The Ramp is 10 feet tall.
( I think I made the ramp too tall)
A^2 + B^2 = C^2
A^2 + 24^2 = 26^2
A^2 + 576 = 676
A^2 + 576 - 576 = 676 - 576
A^2 + 0 = 100
100 square rooted = 10
The Ramp is 10 feet tall.
( I think I made the ramp too tall)
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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