I need to graph this on a graph and I don’t understand how
2 answers:
Answer:
Look at explanation
Step-by-step explanation:
y = mx + b
m is the slope, and b is the y-intercept
So basically on the y-axis, which is the vertical line, u will make a point on 4, and that point is where your line will go through. And then 3 is the slope ur line will be going in, meaning that the line will go up 3 square units, or number, while only going one square unit to the right. It's going up and right because it's a positive number. So it should look like this:
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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
We use the formula where d is distance, s is speed and t is time.
Therefore, a car would tracel 480 km.